Verification run

Run 90

AlexKontorovich/PrimeNumberTheoremAnd branch main triggered via poller
failed commit efed0f9ec8f4 toolchain lean-v4-31-0 prover lean took 56m 41s · finished 4w ago

lake build failed with exit code 1 (toolchain lean-v4-31-0, command: elan run leanprover/lean4:v4.31.0 -- bash -c export PATH="$(dirname "$(elan which lean)"):$PATH"; exec "$@" apx-lean-phase lake build)

Open project

Package inputs

This verification run did not include a theorem package lock. Its inputs depend only on repository, toolchain, image, and command inputs.

Trust verification

Recomputes trust checks from the recorded attestations, manifest, and command history.

(verification not run)

Manifest

Loads the published files manifest and location metadata for this job.

(manifest not loaded)

Verifier log excerpt

At.comp z₀ (hasDerivAt_zpow n (z₀ - x) (Or.inl hz₀x)) (HasDerivAt.sub_const x (hasDerivAt_id z₀))
 has type
  @HasDerivAt ℂ DenselyNormedField.toNontriviallyNormedField ℂ NormedField.toNormedCommRing.toAddCommGroup
    (NormedAlgebra.toNormedSpace ℂ).toModule PseudoMetricSpace.toUniformSpace.toTopologicalSpace ⋯
    ((fun x ↦ x ^ n) ∘ fun x_1 ↦ x_1 - x) (↑n * (z₀ - x) ^ (n - 1)) z₀
but is expected to have type
  @HasDerivAt ℂ DenselyNormedField.toNontriviallyNormedField ℂ addCommGroup Semiring.toModule
    PseudoMetricSpace.toUniformSpace.toTopologicalSpace ⋯ (fun z ↦ (z - x) ^ n) (↑n * (z₀ - x) ^ (n - 1)) z₀
error: PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.lean:223:63: unsolved goals
case e'_2
φ : ℝ → ℂ
b σ : ℝ
hφ : Continuous φ
hφ_decay : (fun x ↦ φ x * cexp (↑x / 2)) =O[cocompact ℝ] fun x ↦ Real.exp (-(1 / 2 + b) * |x|)
hσ_top : -(1 + b) < σ
hσ_bot : σ < b
h_loc : LocallyIntegrable (fun y ↦ φ y * cexp (-↑σ * ↑y)) volume
hbig_top : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atTop] fun y ↦ Real.exp (-(1 + b + σ) * y)
hbig_bot : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atBot] fun y ↦ Real.exp ((b - σ) * y)
hint_top : IntegrableAtFilter (fun y ↦ Real.exp (-(1 + b + σ) * y)) atTop volume
hα : 0 < b - σ
h_top : IntegrableAtFilter (fun y ↦ Real.exp (-((b - σ) * y))) atTop volume
⊢ Measure.comap Neg.neg volume = Measure.comap Neg.neg ?m.1187

case e'_3
φ : ℝ → ℂ
b σ : ℝ
hφ : Continuous φ
hφ_decay : (fun x ↦ φ x * cexp (↑x / 2)) =O[cocompact ℝ] fun x ↦ Real.exp (-(1 / 2 + b) * |x|)
hσ_top : -(1 + b) < σ
hσ_bot : σ < b
h_loc : LocallyIntegrable (fun y ↦ φ y * cexp (-↑σ * ↑y)) volume
hbig_top : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atTop] fun y ↦ Real.exp (-(1 + b + σ) * y)
hbig_bot : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atBot] fun y ↦ Real.exp ((b - σ) * y)
hint_top : IntegrableAtFilter (fun y ↦ Real.exp (-(1 + b + σ) * y)) atTop volume
hα : 0 < b - σ
h_top : IntegrableAtFilter (fun y ↦ Real.exp (-((b - σ) * y))) atTop volume
⊢ volume = Measure.map ⇑(MeasurableEquiv.neg ℝ).symm ?m.1187

φ : ℝ → ℂ
b σ : ℝ
hφ : Continuous φ
hφ_decay : (fun x ↦ φ x * cexp (↑x / 2)) =O[cocompact ℝ] fun x ↦ Real.exp (-(1 / 2 + b) * |x|)
hσ_top : -(1 + b) < σ
hσ_bot : σ < b
h_loc : LocallyIntegrable (fun y ↦ φ y * cexp (-↑σ * ↑y)) volume
hbig_top : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atTop] fun y ↦ Real.exp (-(1 + b + σ) * y)
hbig_bot : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atBot] fun y ↦ Real.exp ((b - σ) * y)
hint_top : IntegrableAtFilter (fun y ↦ Real.exp (-(1 + b + σ) * y)) atTop volume
hα : 0 < b - σ
h_top : IntegrableAtFilter (fun y ↦ Real.exp (-((b - σ) * y))) atTop volume
⊢ Measure ℝ
error: PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.lean:312:24: `ring_nf` made no progress on the goal
error: Lean exited with code 1
✔ [4219/4259] Built PrimeNumberTheoremAnd.IEANTN.PrimeTables (6.3s)
✔ [4223/4261] Built PrimeNumberTheoremAnd.IEANTN.HadamardLogDerivative (4.9s)
✔ [4225/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanProductBound (1.6s)
✔ [4226/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.BorelCaratheodory (2.3s)
✔ [4227/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Calculus.Deriv.Polynomial (1.6s)
✔ [4228/4261] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.ZetaFunctionalEquation (1.7s)
✔ [4229/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.Basic (1.6s)
✔ [4230/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.Trigonometric (1.4s)
✔ [4231/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Gamma.IntegralBounds (1.8s)
✔ [4232/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.GammaBounds (3.1s)
✔ [4233/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Gamma.GammaStirlingAux (1.8s)
✔ [4234/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Pow.Real (1.7s)
✔ [4235/4261] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZeta (2.4s)
✔ [4236/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.Convex (2.8s)
✔ [4237/4261] Built PrimeNumberTheoremAnd.Mathlib.MeasureTheory.Integral.IntegrableOn (1.5s)
✔ [4238/4261] Built PrimeNumberTheoremAnd.Mathlib.Algebra.Order.Floor.Ring (1.1s)
✔ [4239/4261] Built PrimeNumberTheoremAnd.Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic (1.5s)
✔ [4242/4276] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.AbelSummation (1.8s)
✔ [4245/4276] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.ExpPoly (7.4s)
✔ [4246/4276] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.CompletedXi (1.8s)
✔ [4247/4276] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Gamma.StripBounds (5.2s)
✔ [4248/4276] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.ImproperIntegrals (1.8s)
✔ [4251/4276] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Gamma.DigammaSeries (16s)
✔ [4252/4276] Built PrimeNumberTheoremAnd.Mathlib.Topology.MetricSpace.Cauchy (1.2s)
✔ [4253/4276] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.Chebyshev (3.3s)
⚠ [4254/4276] Built PrimeNumberTheoremAnd.IwaniecKowalskiCh1 (9.6s)
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:74:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:91:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:298:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:638:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:680:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:718:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:986:3: error: doc-strings should start with a single space or newline

Note: This linter can be disabled with `set_option linter.style.docString false`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1259:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1429:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1444:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1456:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1474:6: declaration uses `sorry`
✔ [4259/4283] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Asymptotics.Uniformly (2.2s)
✔ [4260/4283] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.ExpPoly.Growth (3.7s)
✔ [4261/4283] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaAbelKernel (3.0s)
✔ [4262/4283] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaValues (2.4s)
⚠ [4263/4283] Built PrimeNumberTheoremAnd.LaplaceInversion (9.8s)
warning: PrimeNumberTheoremAnd/LaplaceInversion.lean:1750:4: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
warning: PrimeNumberTheoremAnd/LaplaceInversion.lean:1987:6: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
warning: PrimeNumberTheoremAnd/LaplaceInversion.lean:1992:6: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
warning: PrimeNumberTheoremAnd/LaplaceInversion.lean:2000:8: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
✔ [4265/4283] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CauchyIntegral (1.7s)
⚠ [4266/4283] Built PrimeNumberTheoremAnd.PerronFormula (9.4s)
warning: PrimeNumberTheoremAnd/PerronFormula.lean:138:22: `Set.diff_subset_diff` has been deprecated: Use `Set.sdiff_subset_sdiff` instead
warning: PrimeNumberTheoremAnd/PerronFormula.lean:660:4: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
✔ [4267/4283] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanBound (4.8s)
✔ [4268/4283] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaPartialSum (2.6s)
✔ [4270/4283] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanMajorantBound (10s)
✔ [4271/4283] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanInverseFactorBound (2.4s)
✔ [4272/4283] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaAbelContinuation (2.5s)
✔ [4273/4283] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CanonicalDecomposition (1.4s)
✔ [4274/4283] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.HadamardFactorization.Growth (4.5s)
✔ [4275/4283] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaConvexity (2.2s)
✔ [4276/4283] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.HadamardFactorization.Order (2.1s)
✔ [4277/4283] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaStripBound (1.7s)
✔ [4278/4283] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.ZetaFiniteOrder (13s)
✔ [4279/4283] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaHadamard (2.0s)
✔ [4280/4283] Built PrimeNumberTheoremAnd.IEANTN.KadiriEq13 (5.7s)
Some required targets logged failures:
- PrimeNumberTheoremAnd.IEANTN.Mertens
- PrimeNumberTheoremAnd.IEANTN.KadiriEq12Helpers

stderr:
error: build failed


$ lake build :blueprint
exit_code=Some(1) duration_ms=1124955
stdout:
✔ [16/35] Built Batteries.Lean.NameMapAttribute:c.o (1.6s)
✔ [17/35] Built Architect.Basic:c.o (902ms)
✔ [18/35] Built Architect.Command:c.o (294ms)
✔ [19/35] Built Architect.Content:c.o (219ms)
✔ [20/35] Built Architect.Attribute:c.o (958ms)
✔ [21/35] Built Architect.CollectUsed:c.o (158ms)
✔ [22/35] Built Architect.Tactic:c.o (785ms)
✔ [23/35] Built Architect.Output:c.o (2.3s)
✔ [24/35] Built Architect.Load:c.o (208ms)
✔ [25/35] Built Architect:c.o (80ms)
✔ [27/35] Built Cli.Basic:c.o (3.1s)
✔ [30/35] Built Cli.Extensions:c.o (498ms)
✔ [31/35] Built Cli:c.o (69ms)
✔ [32/35] Built Main (2.1s)
✔ [33/35] Built Main:c.o (294ms)
✔ [34/41] Built extract_blueprint:exe (6.4s)
✔ [2103/2110] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Auxiliary:blueprint (22s)
✔ [3035/3041] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Sobolev:blueprint (56s)
✔ [3055/3061] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Fourier:blueprint (7.4s)
✔ [3084/3097] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Defs:blueprint (46s)
✔ [3575/3585] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Log.Basic:blueprint (2.8s)
✔ [3576/3585] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Rectangle:blueprint (2.6s)
✔ [3581/3593] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.ZetaConj:blueprint (15s)
✔ [3582/3593] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Tactic.AdditiveCombination:blueprint (1.4s)
✔ [3586/3598] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.ZetaDefinitions:blueprint (20s)
✔ [3588/3598] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.EulerMaclaurin:blueprint (3.1s)
✔ [3596/3608] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.ResidueCalcOnRectangles:blueprint (14s)
✔ [3599/3608] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Complex.LogBounds:blueprint (2.7s)
✔ [3600/3608] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.Norm:blueprint (1.7s)
✔ [3602/3638] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.ZetaBounds:blueprint (64s)
✔ [3610/3638] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Meromorphic.DivisorSupport:blueprint (13s)
✔ [3611/3638] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.LocallyUniformLimit:blueprint (2.7s)
✔ [3613/3638] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.WeierstrassFactor:blueprint (3.3s)
✔ [3616/3638] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CanonicalProduct:blueprint (2.5s)
✔ [3618/3638] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Topology.MetricSpace.Annulus:blueprint (1.6s)
✔ [3619/3640] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorIndex:blueprint (2.4s)
✔ [3622/3642] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorConvergence:blueprint (2.4s)
✔ [3623/3642] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorUnits:blueprint (2.4s)
✔ [3626/3645] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorFiber:blueprint (2.5s)
✔ [3630/3648] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorComplement:blueprint (2.4s)
✔ [3634/3648] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorPartialProductFactor:blueprint (2.4s)
✔ [3639/3653] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorQuotientConvergence:blueprint (2.4s)
✔ [3642/3655] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorQuotientRemovable:blueprint (2.4s)
✔ [3647/3655] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.Divisor:blueprint (2.4s)
✔ [3650/3658] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.HadamardFactorization:blueprint (2.5s)
✔ [3666/3694] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Exp:blueprint (1.9s)
✔ [3667/3694] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Meromorphic.DivisorHolomorphic:blueprint (2.4s)
✔ [3668/3694] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Log.Dyadic:blueprint (1.0s)
✔ [3673/3696] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Log.PosLog:blueprint (1.9s)
✔ [3675/3696] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.MellinCalculus:blueprint (30s)
✔ [3676/3696] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Algebra.Notation.Support:blueprint (978ms)
✔ [3681/3699] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Log.ExpGrowth:blueprint (1.0s)
✔ [3682/3699] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.SmoothExistence:blueprint (5.2s)
ℹ [3683/3699] Replayed PrimeNumberTheoremAnd.MediumPNT
info: PrimeNumberTheoremAnd/MediumPNT.lean:4282:0: 'MediumPNT' depends on axioms: [propext, Classical.choice, Quot.sound]
✔ [3686/3701] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.MediumPNT:blueprint (77s)
✔ [3693/3701] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Basic:blueprint (9.1s)
✔ [3696/3712] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Growth:blueprint (2.4s)
✔ [3699/3724] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.HadamardFactorization.Summability:blueprint (2.9s)
✔ [3703/3726] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Backlund.ZeroCountCrude:blueprint (18s)
✔ [3706/3726] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Asymptotics.Asymptotics:blueprint (7.1s)
✔ [3711/3727] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.Sieve.AuxResults:blueprint (3.9s)
⚠ [3715/3727] Replayed PrimeNumberTheoremAnd.StrongPNT
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1475:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1524:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1641:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1786:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:2041:48: This simp argument is unused:
  neg_div

Hint: Omit it from the simp argument list.
  simp only ̵[̵n̵e̵g̵_̵d̵i̵v̵]̵

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:2181:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:2271:6: declaration uses `sorry`
✔ [3716/3727] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.Sieve.Basic:blueprint (2.5s)
✔ [3719/3727] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.StrongPNT:blueprint (58s)
✔ [3721/3727] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.Sieve.Selberg:blueprint (2.4s)
✔ [3723/3728] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.BorelCaratheodory:blueprint (7.5s)
✔ [3724/3728] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.Sieve.SelbergBounds:blueprint (9.0s)
✔ [3726/3728] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.BrunTitchmarsh:blueprint (2.5s)
⚠ [3849/3857] Replayed PrimeNumberTheoremAnd.Wiener
warning: PrimeNumberTheoremAnd/Wiener.lean:323:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/Wiener.lean:342:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/Wiener.lean:1392:37: This simp argument is unused:
  show 2 + n - 1 = n + 1 from by omega

Hint: Omit it from the simp argument list.
  simp only [cumsum_succ, show 2 + n - 1 =̵ ̵n̵ ̵+̵ ̵1̵ ̵f̵r̵o̵m̵ ̵b̵y̵ ̵o̵m̵e̵g̵a̵,̵
  ̵ ̵ ̵ ̵ ̵ ̵ ̵s̵h̵o̵w̵ ̵2̵ ̵+̵ ̵n̵ ̵- 1 -̵ ̵1̵ ̵= n from by omega,
  ̲  ̲ ̲ ̲show 2 + n = n + 2 from by omega, show 1 + n = n + 1 from by omega]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Wiener.lean:1393:6: This simp argument is unused:
  show 2 + n - 1 - 1 = n from by omega

Hint: Omit it from the simp argument list.
  simp only [cumsum_succ, show 2 + n - 1 = n + 1 from by omega,
      show 2 + n -̵ ̵1̵ ̵-̵ ̵1̵ ̵= n f̵r̵o̵m̵ ̵b̵y̵ ̵o̵m̵e̵g̵a̵,̵ ̵s̵h̵o̵w̵ ̵2̵ ̵+ n̵ ̵=̵ ̵n̵ ̵+̵ ̵2 from by omega, show 1 + n = n + 1 from by omega]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Wiener.lean:1393:44: This simp argument is unused:
  show 2 + n = n + 2 from by omega

Hint: Omit it from the simp argument list.
  simp only [cumsum_succ, show 2 + n - 1 = n + 1 from by omega,
      show 2 + n - 1 - 1 = n from by omega, show 2̵ ̵+̵ ̵n̵ ̵=̵ ̵n̵ ̵+̵ ̵2̵ ̵f̵r̵o̵m̵ ̵b̵y̵ ̵o̵m̵e̵g̵a̵,̵
  ̵ ̵ ̵ ̵ ̵ ̵ ̵s̵h̵o̵w̵ ̵1 + n = n + 1 from by omega]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Wiener.lean:1394:6: This simp argument is unused:
  show 1 + n = n + 1 from by omega

Hint: Omit it from the simp argument list.
  simp only [cumsum_succ, show 2 + n - 1 = n + 1 from by omega,
      show 2 + n - 1 - 1 = n from by omega, show 2 + n = n + 2 from by o̵m̵e̵g̵a̵,̵
  ̵ ̵ ̵ ̵ ̵ ̵ ̵s̵h̵o̵w̵ ̵1̵ ̵+̵ ̵n̵ ̵=̵ ̵n̵ ̵+̵ ̵1̵ ̵f̵r̵o̵m̵ ̵b̵y̵ ̵omega]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
✔ [3851/3857] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Wiener:blueprint (43s)
⚠ [3853/3857] Replayed PrimeNumberTheoremAnd.Consequences
warning: PrimeNumberTheoremAnd/Consequences.lean:113:77: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [ne_eq, cast_eq_zero, floor_eq_zero, not_lt, mem_atTop_sets, g̵e̵_̵i̵f̵f̵_̵l̵e̵,̵
  ̵ ̵ ̵ ̵ ̵ ̵ ̵ ̵ ̵Set.mem_setOf_eq]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:121:69: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [Pi.sub_apply, neg_sub, norm_eq_abs, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:180:42: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [one_mul, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:242:71: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [Pi.sub_apply, norm_eq_abs, mul_assoc, eventually_atTop, g̵e̵_̵i̵f̵f̵_̵l̵e̵,̵ ̵norm_mul, abs_of_pos hε,
  ̲  ̲ ̲ ̲ ̲ ̲f] at H ⊢

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:254:71: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [isLittleO_iff, norm_eq_abs, norm_mul, eventually_atTop, g̵e̵_̵i̵f̵f̵_̵l̵e̵,̵
  ̵ ̵ ̵ ̵ ̵ ̵ ̵norm_div] at hf1 ⊢

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1014:49: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [EventuallyEq, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1131:12: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [one_div, gt_iff_lt, inv_pos, ofNat_pos, div_one, norm_eq_abs, eventually_atTop,
              g̵e̵_̵i̵ff̵_̵l̵e̵,̵ ̵f̵orall_const] at k_o1

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1211:44: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [norm_eq_abs, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at f_small

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1242:44: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [norm_eq_abs, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at f_small

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1269:15: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [g̵e̵_̵i̵f̵f̵_̵l̵e̵,̵ ̵a] at hb

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1280:42: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [gt_iff_lt, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at first_term

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1282:31: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1309:59: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [_root_.add_lt_add_iff_left, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at first_term

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1311:42: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [gt_iff_lt, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1344:48: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [Set.mem_Ioi, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1378:33: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at first_helper

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1379:44: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [gt_iff_lt, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at second_helper

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1395:15: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [g̵e̵_̵i̵f̵f̵_̵l̵e̵,̵ ̵sup_le_iff] at hb

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1559:44: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [Set.mem_Ici, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at squeeze

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
✔ [3854/3867] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Consequences:blueprint (43s)
⚠ [3966/3982] Replayed PrimeNumberTheoremAnd.IEANTN.RosserSchoenfeld.RosserSchoenfeldZeta
warning: PrimeNumberTheoremAnd/IEANTN/RosserSchoenfeld/RosserSchoenfeldZeta.lean:18:8: declaration uses `sorry`
✔ [3969/3983] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.GeneralMeromorphic:blueprint (5.8s)
✔ [3970/3983] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.HadamardFactorization:blueprint (1.3s)
✔ [3971/3983] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.HoffsteinLockhart:blueprint (3.7s)
✔ [3972/3983] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.KLN:blueprint (4.0s)
✔ [3973/3983] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.RosserSchoenfeld.RosserSchoenfeldZeta:blueprint (3.5s)
✔ [3976/3984] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.LogTables:blueprint (6.4s)
✖ [3978/3984] Building PrimeNumberTheoremAnd.IEANTN.Mertens (37s)
trace: .> LEAN_PATH=/apx/source/.lake/packages/Cli/.lake/build/lib/lean:/apx/source/.lake/packages/batteries/.lake/build/lib/lean:/apx/source/.lake/packages/Qq/.lake/build/lib/lean:/apx/source/.lake/packages/aesop/.lake/build/lib/lean:/apx/source/.lake/packages/proofwidgets/.lake/build/lib/lean:/apx/source/.lake/packages/importGraph/.lake/build/lib/lean:/apx/source/.lake/packages/LeanSearchClient/.lake/build/lib/lean:/apx/source/.lake/packages/plausible/.lake/build/lib/lean:/apx/source/.lake/packages/LeanArchitect/.lake/build/lib/lean:/apx/source/.lake/packages/checkdecls/.lake/build/lib/lean:/apx/source/.lake/packages/leancert/.lake/build/lib/lean:/apx/source/.lake/packages/PrimeCert/.lake/build/lib/lean:/apx/source/.lake/packages/mathlib/.lake/build/lib/lean:/apx/source/.lake/build/lib/lean /apx/elan/toolchains/leanprover--lean4---v4.31.0/bin/lean /apx/source/PrimeNumberTheoremAnd/IEANTN/Mertens.lean -o /apx/source/.lake/build/lib/lean/PrimeNumberTheoremAnd/IEANTN/Mertens.olean -i /apx/source/.lake/build/lib/lean/PrimeNumberTheoremAnd/IEANTN/Mertens.ilean -c /apx/source/.lake/build/ir/PrimeNumberTheoremAnd/IEANTN/Mertens.c --setup /apx/source/.lake/build/ir/PrimeNumberTheoremAnd/IEANTN/Mertens.setup.json --json
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:602:22: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [isBigO_iff, norm_eq_abs, norm_one, mul_one, e̵v̵e̵n̵t̵u̵a̵l̵l̵y̵_̵a̵t̵T̵o̵p̵,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]̵e̲v̲e̲n̲t̲u̲a̲l̲l̲y̲_̲a̲t̲T̲o̲p̲]̲

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:904:24: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [isBigO_iff, norm_eq_abs, one_mem, CStarRing.norm_of_mem_unitary, mul_one,
        eventually_atTop, g̵e̵_̵i̵f̵f̵_̵l̵e̵,̵ ̵E₁p]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1152:77: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [one_div, isBigO_iff, norm_eq_abs, norm_inv, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
error: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1246:4: Type mismatch: After simplification, term
  Summable.neg this
 has type
  @Summable ℝ Nat.Primes Real.instAddCommGroup.toAddCommMonoid PseudoMetricSpace.toUniformSpace.toTopologicalSpace
    (fun b ↦ -log (1 + -z b)) (SummationFilter.unconditional Nat.Primes)
but is expected to have type
  @Summable ℝ Nat.Primes Real.instAddCommMonoid PseudoMetricSpace.toUniformSpace.toTopologicalSpace
    (fun p ↦ -log (1 - z p)) (SummationFilter.unconditional Nat.Primes)
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1305:16: declaration uses `sorry`
error: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1332:2: `grind` failed
case grind.2
s : ℝ
hs : 1 < s
h :
  ¬(s - 1) *
        ∫ (a : ℝ) in Set.Ioi 1,
          (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2)) *
            a ^ (-s) ∂MeasureTheory.volume =
      ∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume + 1 -
        log (log 2)
h_1 : ¬-s + 1 = 0
⊢ False
[grind] Goal diagnostics
  [facts] Asserted facts
    [prop] 1 < s
    [prop] ¬(s - 1) *
              ∫ (a : ℝ) in Set.Ioi 1,
                (∫ (t : ℝ) in Set.Ioi 2,
                        (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                      1 -
                    log (log 2)) *
                  a ^ (-s) ∂MeasureTheory.volume =
            ∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2)
    [prop] ∫ (a : ℝ) in Set.Ioi 1,
            (∫ (t : ℝ) in Set.Ioi 2,
                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                  1 -
                log (log 2)) *
              a ^ (-s) ∂MeasureTheory.volume =
          (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2)) *
            ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume
    [prop] -s < -1 → 0 < 1 → ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume = -1 ^ (-s + 1) * (-s + 1)⁻¹
    [prop] if -s + 1 = 0 then (-s + 1)⁻¹ = 0 else (-s + 1) * (-s + 1)⁻¹ = 1
    [prop] 1 ^ (-s + 1) = 1
    [prop] ¬-s + 1 = 0
  [eqc] True propositions
    [prop] (-s + 1) * (-s + 1)⁻¹ = 1
    [prop] 1 < s
    [prop] if -s + 1 = 0 then (-s + 1)⁻¹ = 0 else (-s + 1) * (-s + 1)⁻¹ = 1
    [prop] ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume = -1 ^ (-s + 1) * (-s + 1)⁻¹
    [prop] -s < -1
    [prop] 0 < 1
    [prop] -s < -1 → 0 < 1 → ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume = -1 ^ (-s + 1) * (-s + 1)⁻¹
    [prop] 0 < 1 → ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume = -1 ^ (-s + 1) * (-s + 1)⁻¹
  [eqc] False propositions
    [prop] -s + 1 = 0
    [prop] (s - 1) *
            ∫ (a : ℝ) in Set.Ioi 1,
              (∫ (t : ℝ) in Set.Ioi 2,
                      (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                    1 -
                  log (log 2)) *
                a ^ (-s) ∂MeasureTheory.volume =
          ∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
              1 -
            log (log 2)
  [eqc] Equivalence classes
    [eqc] {1,
        (-s + 1) * (-s + 1)⁻¹,
        ((s - 1) *
              ∫ (a : ℝ) in Set.Ioi 1,
                (∫ (t : ℝ) in Set.Ioi 2,
                        (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                      1 -
                    log (log 2)) *
                  a ^ (-s) ∂MeasureTheory.volume -
            (∫ (t : ℝ) in Set.Ioi 2,
                  (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2))) *
          ((s - 1) *
                ∫ (a : ℝ) in Set.Ioi 1,
                  (∫ (t : ℝ) in Set.Ioi 2,
                          (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                        1 -
                      log (log 2)) *
                    a ^ (-s) ∂MeasureTheory.volume -
              (∫ (t : ℝ) in Set.Ioi 2,
                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                  1 -
                log (log 2)))⁻¹,
        1 ^ (-s + 1)}
    [eqc] {(∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
              1 -
            log (log 2)) *
          ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume,
        ∫ (a : ℝ) in Set.Ioi 1,
          (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2)) *
            a ^ (-s) ∂MeasureTheory.volume}
    [eqc] {-1, -1 ^ (-s + 1)}
    [eqc] {-1 ^ (-s + 1) * (-s + 1)⁻¹, ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume}
  [cases] Case analyses
    [cases] [2/2]: if -s + 1 = 0 then (-s + 1)⁻¹ = 0 else (-s + 1) * (-s + 1)⁻¹ = 1
      [cases] source: E-matching `@integral_Ioi_rpow_of_lt (-s)`
  [ematch] E-matching patterns
    [thm] MeasureTheory.integral_const_mul γ
              (· ^
                (-s)): [@MeasureTheory.integral `[ℝ] `[ℝ] `[NonUnitalNormedRing.toNormedAddCommGroup] `[NormedAlgebra.toNormedSpace
           ℝ] #1 #0 `[fun a ↦
           (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                 1 -
               log (log 2)) *
             a ^ (-s)]]
    [thm] @integral_Ioi_rpow_of_lt
              (-s): [@MeasureTheory.integral `[ℝ] `[ℝ] `[normedAddCommGroup] `[RCLike.toInnerProductSpaceReal.toNormedSpace] `[measurableSpace] (@MeasureTheory.Measure.restrict `[ℝ] `[measurableSpace] `[MeasureTheory.volume] (@Set.Ioi `[ℝ] `[instPreorder] #1)) `[fun
             x ↦
           x ^ (-s)]]
    [thm] one_rpow: [@HPow.hPow `[ℝ] `[ℝ] `[ℝ] `[instHPow] `[1] #0]
    [thm] Nat.pow_pos: [@HPow.hPow `[ℕ] `[ℕ] `[ℕ] `[instHPow] #2 #1]
    [thm] Nat.div_pow_of_pos: [@HPow.hPow `[ℕ] `[ℕ] `[ℕ] `[instHPow] #2 #1]
  [linarith] Linarith assignment for `ℝ`
    [assign] s := 2
    [assign] log (log 2) := 0
    [assign] log 2 := 9
    [assign] ∫ (a : ℝ) in Set.Ioi 1,
          (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2)) *
            a ^ (-s) ∂MeasureTheory.volume := 0
    [assign] ∫ (t : ℝ) in Set.Ioi 2,
          (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume := 0
    [assign] ∫ (a : ℝ) in Set.Ioi 1,
          (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2)) *
            a ^ (-s) ∂MeasureTheory.volume := 0
    [assign] ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume := 20
    [assign] 「1 ^ (-s + 1)」 := 1
    [assign] ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume := 0
  [ring] Ring `ℝ`
    [basis] Basis
      [_] (s *
                          ∫ (a : ℝ) in Set.Ioi 1,
                            (∫ (t : ℝ) in Set.Ioi 2,
                                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                  1 -
                                log (log 2)) *
                              a ^ (-s) ∂MeasureTheory.volume) *
                        ((s - 1) *
                              ∫ (a : ℝ) in Set.Ioi 1,
                                (∫ (t : ℝ) in Set.Ioi 2,
                                        (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) *
                                          (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                      1 -
                                    log (log 2)) *
                                  a ^ (-s) ∂MeasureTheory.volume -
                            (∫ (t : ℝ) in Set.Ioi 2,
                                  (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                1 -
                              log (log 2)))⁻¹ +
                      -1 *
                        ((∫ (a : ℝ) in Set.Ioi 1,
                            (∫ (t : ℝ) in Set.Ioi 2,
                                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                  1 -
                                log (log 2)) *
                              a ^ (-s) ∂MeasureTheory.volume) *
                          ((s - 1) *
                                ∫ (a : ℝ) in Set.Ioi 1,
                                  (∫ (t : ℝ) in Set.Ioi 2,
                                          (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) *
                                            (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                        1 -
                                      log (log 2)) *
                                    a ^ (-s) ∂MeasureTheory.volume -
                              (∫ (t : ℝ) in Set.Ioi 2,
                                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                  1 -
                                log (log 2)))⁻¹) +
                    -1 *
                      ((∫ (t : ℝ) in Set.Ioi 2,
                          (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume) *
                        ((s - 1) *
                              ∫ (a : ℝ) in Set.Ioi 1,
                                (∫ (t : ℝ) in Set.Ioi 2,
                                        (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) *
                                          (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                      1 -
                                    log (log 2)) *
                                  a ^ (-s) ∂MeasureTheory.volume -
                            (∫ (t : ℝ) in Set.Ioi 2,
                                  (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                1 -
                              log (log 2)))⁻¹) +
                  log (log 2) *
                    ((s - 1) *
                          ∫ (a : ℝ) in Set.Ioi 1,
                            (∫ (t : ℝ) in Set.Ioi 2,
                                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                  1 -
                                log (log 2)) *
                              a ^ (-s) ∂MeasureTheory.volume -
                        (∫ (t : ℝ) in Set.Ioi 2,
                              (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                            1 -
                          log (log 2)))⁻¹ +
                -1 *
                  ((s - 1) *
                        ∫ (a : ℝ) in Set.Ioi 1,
                          (∫ (t : ℝ) in Set.Ioi 2,
                                  (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                1 -
                              log (log 2)) *
                            a ^ (-s) ∂MeasureTheory.volume -
                      (∫ (t : ℝ) in Set.Ioi 2,
                            (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                          1 -
                        log (log 2)))⁻¹ +
              -1 =
            0
      [_] (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume) *
                        ((s - 1) *
                              ∫ (a : ℝ) in Set.Ioi 1,
                                (∫ (t : ℝ) in Set.Ioi 2,
                                        (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) *
                                          (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                      1 -
                                    log (log 2)) *
                                  a ^ (-s) ∂MeasureTheory.volume -
                            (∫ (t : ℝ) in Set.Ioi 2,
                                  (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                1 -
                              log (log 2)))⁻¹ *
                      (-s + 1)⁻¹ +
                    -1 *
                      (log (log 2) *
                          ((s - 1) *
                                ∫ (a : ℝ) in Set.Ioi 1,
                                  (∫ (t : ℝ) in Set.Ioi 2,
                                          (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) *
                                            (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                        1 -
                                      log (log 2)) *
                                    a ^ (-s) ∂MeasureTheory.volume -
                              (∫ (t : ℝ) in Set.Ioi 2,
                                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                  1 -
                                log (log 2)))⁻¹ *
                        (-s + 1)⁻¹) +
                  (∫ (a : ℝ) in Set.Ioi 1,
                      (∫ (t : ℝ) in Set.Ioi 2,
                              (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                            1 -
                          log (log 2)) *
                        a ^ (-s) ∂MeasureTheory.volume) *
                    ((s - 1) *
                          ∫ (a : ℝ) in Set.Ioi 1,
                            (∫ (t : ℝ) in Set.Ioi 2,
                                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                  1 -
                                log (log 2)) *
                              a ^ (-s) ∂MeasureTheory.volume -
                        (∫ (t : ℝ) in Set.Ioi 2,
                              (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                            1 -
                          log (log 2)))⁻¹ +
                ((s - 1) *
                        ∫ (a : ℝ) in Set.Ioi 1,
                          (∫ (t : ℝ) in Set.Ioi 2,
                                  (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                1 -
                              log (log 2)) *
                            a ^ (-s) ∂MeasureTheory.volume -
                      (∫ (t : ℝ) in Set.Ioi 2,
                            (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                          1 -
                        log (log 2)))⁻¹ *
                  (-s + 1)⁻¹ +
              (-s + 1)⁻¹ =
            0
      [_] s * (-s + 1)⁻¹ + -1 * (-s + 1)⁻¹ + 1 = 0
      [_] 1 ^ (-s + 1) + -1 = 0
[grind] Diagnostics
  [thm] E-Matching instances
    [thm] extra_0 ↦ 1
    [thm] extra_1 ↦ 1
    [thm] one_rpow ↦ 1
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1799:24: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [isBigO_iff, norm_eq_abs, one_mem, CStarRing.norm_of_mem_unitary, mul_one,
        eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1950:77: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [one_div, isBigO_iff, norm_eq_abs, norm_inv, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1987:24: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [isBigO_iff, norm_eq_abs, one_mem, CStarRing.norm_of_mem_unitary, mul_one,
        eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:2249:58: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [isBigO_iff, norm_eq_abs, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:2267:77: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [EventuallyEq.iff_eventually, Pi.div_apply, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
error: Lean exited with code 1
✔ [3979/3984] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Pow.Deriv:blueprint (2.1s)
✔ [3981/3987] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.EulerMascheroniBounds:blueprint (9.6s)
✔ [4043/4064] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.FioriKadiriSwidinsky.FioriKadiriSwidinsky_tables:blueprint (2.9s)
⚠ [4052/4067] Replayed LeanCert.Examples.Li2Bounds
warning: LeanCert/Examples/Li2Bounds.lean:40:8: declaration uses `sorry`
warning: LeanCert/Examples/Li2Bounds.lean:48:8: declaration uses `sorry`
✔ [4054/4067] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.LnFactorialSeries:blueprint (2.1s)
✔ [4056/4068] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.PVIdentity:blueprint (2.7s)
✔ [4063/4070] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.Li2Bounds:blueprint (11s)
✔ [4064/4070] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.LiSeries:blueprint (3.6s)
✔ [4204/4217] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.RosserSchoenfeld.RosserSchoenfeldPrime_tables:blueprint (2.5s)
✔ [4206/4217] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.BKLNW.BKLNW_app_tables:blueprint (7.3s)
✔ [4210/4272] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.BKLNW.BKLNW_tables:blueprint (8.2s)
✔ [4283/4294] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.eSHP.eSHP_tables:blueprint (4.1s)
⚠ [4284/4294] Replayed PrimeNumberTheoremAnd.IEANTN.eSHP.eSHP
warning: PrimeNumberTheoremAnd/IEANTN/eSHP/eSHP.lean:85:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/eSHP/eSHP.lean:129:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/eSHP/eSHP.lean:304:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/eSHP/eSHP.lean:449:8: declaration uses `sorry`
✔ [4288/4301] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.eSHP.eSHP:blueprint (3.7s)
⚠ [4292/4301] Replayed PrimeNumberTheoremAnd.IEANTN.Erdos392
warning: PrimeNumberTheoremAnd/IEANTN/Erdos392.lean:3160:6: 'change ((pairProd f.a.toList).length : ℝ) ≤ _' tactic does nothing

Note: This linter can be disabled with `set_option linter.unusedTactic false`
✔ [4294/4301] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.Erdos392:blueprint (21s)
ℹ [4296/4301] Replayed PrimeNumberTheoremAnd.IEANTN.Ramanujan.RamanujanCalculations
info: PrimeNumberTheoremAnd/IEANTN/Ramanujan/RamanujanCalculations.lean:76:4: Try this:
  [apply] ring_nf
  
  The `ring` tactic failed to close the goal. Use `ring_nf` to obtain a normal form.
    
  Note that `ring` works primarily in *commutative* rings. If you have a noncommutative ring, abelian group or module, consider using `noncomm_ring`, `abel` or `module` instead.
✔ [4299/4306] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.Ramanujan.RamanujanCalculations:blueprint (8.4s)
✔ [4348/4353] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Tactic.Simprocs:blueprint (1.2s)
⚠ [4363/4384] Replayed PrimeNumberTheoremAnd.IEANTN.KadiriZeroCounting
warning: PrimeNumberTheoremAnd/IEANTN/KadiriZeroCounting.lean:2061:6: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
✔ [4365/4384] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.KadiriZeroCounting:blueprint (5.3s)
✖ [4370/4384] Building PrimeNumberTheoremAnd.IEANTN.KadiriEq12Helpers (9.8s)
trace: .> LEAN_PATH=/apx/source/.lake/packages/Cli/.lake/build/lib/lean:/apx/source/.lake/packages/batteries/.lake/build/lib/lean:/apx/source/.lake/packages/Qq/.lake/build/lib/lean:/apx/source/.lake/packages/aesop/.lake/build/lib/lean:/apx/source/.lake/packages/proofwidgets/.lake/build/lib/lean:/apx/source/.lake/packages/importGraph/.lake/build/lib/lean:/apx/source/.lake/packages/LeanSearchClient/.lake/build/lib/lean:/apx/source/.lake/packages/plausible/.lake/build/lib/lean:/apx/source/.lake/packages/LeanArchitect/.lake/build/lib/lean:/apx/source/.lake/packages/checkdecls/.lake/build/lib/lean:/apx/source/.lake/packages/leancert/.lake/build/lib/lean:/apx/source/.lake/packages/PrimeCert/.lake/build/lib/lean:/apx/source/.lake/packages/mathlib/.lake/build/lib/lean:/apx/source/.lake/build/lib/lean /apx/elan/toolchains/leanprover--lean4---v4.31.0/bin/lean /apx/source/PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.lean -o /apx/source/.lake/build/lib/lean/PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.olean -i /apx/source/.lake/build/lib/lean/PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.ilean -c /apx/source/.lake/build/ir/PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.c --setup /apx/source/.lake/build/ir/PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.setup.json --json
error: PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.lean:39:4: Type mismatch: After simplification, term
  HasDerivAt.comp z₀ (hasDerivAt_zpow n (z₀ - x) (Or.inl hz₀x)) (HasDerivAt.sub_const x (hasDerivAt_id z₀))
 has type
  @HasDerivAt ℂ DenselyNormedField.toNontriviallyNormedField ℂ NormedField.toNormedCommRing.toAddCommGroup
    (NormedAlgebra.toNormedSpace ℂ).toModule PseudoMetricSpace.toUniformSpace.toTopologicalSpace ⋯
    ((fun x ↦ x ^ n) ∘ fun x_1 ↦ x_1 - x) (↑n * (z₀ - x) ^ (n - 1)) z₀
but is expected to have type
  @HasDerivAt ℂ DenselyNormedField.toNontriviallyNormedField ℂ addCommGroup Semiring.toModule
    PseudoMetricSpace.toUniformSpace.toTopologicalSpace ⋯ (fun z ↦ (z - x) ^ n) (↑n * (z₀ - x) ^ (n - 1)) z₀
error: PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.lean:223:63: unsolved goals
case e'_2
φ : ℝ → ℂ
b σ : ℝ
hφ : Continuous φ
hφ_decay : (fun x ↦ φ x * cexp (↑x / 2)) =O[cocompact ℝ] fun x ↦ Real.exp (-(1 / 2 + b) * |x|)
hσ_top : -(1 + b) < σ
hσ_bot : σ < b
h_loc : LocallyIntegrable (fun y ↦ φ y * cexp (-↑σ * ↑y)) volume
hbig_top : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atTop] fun y ↦ Real.exp (-(1 + b + σ) * y)
hbig_bot : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atBot] fun y ↦ Real.exp ((b - σ) * y)
hint_top : IntegrableAtFilter (fun y ↦ Real.exp (-(1 + b + σ) * y)) atTop volume
hα : 0 < b - σ
h_top : IntegrableAtFilter (fun y ↦ Real.exp (-((b - σ) * y))) atTop volume
⊢ Measure.comap Neg.neg volume = Measure.comap Neg.neg ?m.1187

case e'_3
φ : ℝ → ℂ
b σ : ℝ
hφ : Continuous φ
hφ_decay : (fun x ↦ φ x * cexp (↑x / 2)) =O[cocompact ℝ] fun x ↦ Real.exp (-(1 / 2 + b) * |x|)
hσ_top : -(1 + b) < σ
hσ_bot : σ < b
h_loc : LocallyIntegrable (fun y ↦ φ y * cexp (-↑σ * ↑y)) volume
hbig_top : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atTop] fun y ↦ Real.exp (-(1 + b + σ) * y)
hbig_bot : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atBot] fun y ↦ Real.exp ((b - σ) * y)
hint_top : IntegrableAtFilter (fun y ↦ Real.exp (-(1 + b + σ) * y)) atTop volume
hα : 0 < b - σ
h_top : IntegrableAtFilter (fun y ↦ Real.exp (-((b - σ) * y))) atTop volume
⊢ volume = Measure.map ⇑(MeasurableEquiv.neg ℝ).symm ?m.1187

φ : ℝ → ℂ
b σ : ℝ
hφ : Continuous φ
hφ_decay : (fun x ↦ φ x * cexp (↑x / 2)) =O[cocompact ℝ] fun x ↦ Real.exp (-(1 / 2 + b) * |x|)
hσ_top : -(1 + b) < σ
hσ_bot : σ < b
h_loc : LocallyIntegrable (fun y ↦ φ y * cexp (-↑σ * ↑y)) volume
hbig_top : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atTop] fun y ↦ Real.exp (-(1 + b + σ) * y)
hbig_bot : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atBot] fun y ↦ Real.exp ((b - σ) * y)
hint_top : IntegrableAtFilter (fun y ↦ Real.exp (-(1 + b + σ) * y)) atTop volume
hα : 0 < b - σ
h_top : IntegrableAtFilter (fun y ↦ Real.exp (-((b - σ) * y))) atTop volume
⊢ Measure ℝ
error: PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.lean:312:24: `ring_nf` made no progress on the goal
error: Lean exited with code 1
✔ [4371/4452] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.PrimeTables:blueprint (2.4s)
✔ [4376/4452] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.AbsMax:blueprint (4.1s)
✔ [4389/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.HadamardLogDerivative:blueprint (4.4s)
✔ [4400/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanProductBound:blueprint (1.9s)
✔ [4401/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.BorelCaratheodory:blueprint (2.4s)
✔ [4403/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Calculus.Deriv.Polynomial:blueprint (2.0s)
✔ [4404/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.ZetaFunctionalEquation:blueprint (2.0s)
✔ [4406/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.Basic:blueprint (1.8s)
✔ [4407/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.Trigonometric:blueprint (1.6s)
✔ [4408/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Gamma.IntegralBounds:blueprint (2.3s)
✔ [4409/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.GammaBounds:blueprint (2.5s)
✔ [4410/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Gamma.GammaStirlingAux:blueprint (2.3s)
✔ [4412/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Pow.Real:blueprint (1.0s)
✔ [4413/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZeta:blueprint (4.5s)
✔ [4414/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.Convex:blueprint (1.8s)
✔ [4415/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.MeasureTheory.Integral.IntegrableOn:blueprint (2.2s)
✔ [4420/4491] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Algebra.Order.Floor.Ring:blueprint (1.5s)
✔ [4421/4491] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic:blueprint (2.2s)
✔ [4422/4491] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.AbelSummation:blueprint (2.4s)
⚠ [4428/4491] Replayed PrimeNumberTheoremAnd.IwaniecKowalskiCh1
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:74:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:91:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:298:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:638:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:680:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:718:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:986:3: error: doc-strings should start with a single space or newline

Note: This linter can be disabled with `set_option linter.style.docString false`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1259:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1429:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1444:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1456:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1474:6: declaration uses `sorry`
✔ [4435/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.ExpPoly:blueprint (2.7s)
✔ [4437/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.CompletedXi:blueprint (2.5s)
✔ [4438/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Gamma.StripBounds:blueprint (2.4s)
✔ [4439/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.ImproperIntegrals:blueprint (2.3s)
✔ [4442/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Gamma.DigammaSeries:blueprint (2.4s)
✔ [4443/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Topology.MetricSpace.Cauchy:blueprint (1.4s)
⚠ [4444/4492] Replayed PrimeNumberTheoremAnd.LaplaceInversion
warning: PrimeNumberTheoremAnd/LaplaceInversion.lean:1750:4: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
warning: PrimeNumberTheoremAnd/LaplaceInversion.lean:1987:6: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
warning: PrimeNumberTheoremAnd/LaplaceInversion.lean:1992:6: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
warning: PrimeNumberTheoremAnd/LaplaceInversion.lean:2000:8: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
✔ [4445/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.Chebyshev:blueprint (2.4s)
✔ [4447/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IwaniecKowalskiCh1:blueprint (62s)
✔ [4448/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Asymptotics.Uniformly:blueprint (3.5s)
⚠ [4451/4492] Replayed PrimeNumberTheoremAnd.PerronFormula
warning: PrimeNumberTheoremAnd/PerronFormula.lean:138:22: `Set.diff_subset_diff` has been deprecated: Use `Set.sdiff_subset_sdiff` instead
warning: PrimeNumberTheoremAnd/PerronFormula.lean:660:4: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
✔ [4455/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.ExpPoly.Growth:blueprint (3.3s)
✔ [4456/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaAbelKernel:blueprint (4.6s)
✔ [4458/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaValues:blueprint (4.3s)
✔ [4459/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.LaplaceInversion:blueprint (2.5s)
✔ [4461/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CauchyIntegral:blueprint (2.3s)
✔ [4462/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.PerronFormula:blueprint (29s)
✔ [4463/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanBound:blueprint (4.1s)
✔ [4466/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaPartialSum:blueprint (3.3s)
✔ [4469/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanInverseFactorBound:blueprint (2.4s)
✔ [4470/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanMajorantBound:blueprint (3.1s)
✔ [4472/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaAbelContinuation:blueprint (3.3s)
✔ [4474/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CanonicalDecomposition:blueprint (2.6s)
✔ [4475/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.HadamardFactorization.Growth:blueprint (3.3s)
✔ [4477/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaConvexity:blueprint (4.3s)
✔ [4479/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.HadamardFactorization.Order:blueprint (2.3s)
✔ [4480/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaStripBound:blueprint (2.8s)
✔ [4482/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.ZetaFiniteOrder:blueprint (3.8s)
✔ [4484/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaHadamard:blueprint (2.8s)
✔ [4486/4493] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.KadiriEq13:blueprint (12s)
Some required targets logged failures:
- PrimeNumberTheoremAnd.IEANTN.Mertens
- PrimeNumberTheoremAnd.IEANTN.KadiriEq12Helpers

stderr:
error: build failed


blueprint_build failed; continuing (non-fatal phase).

Command runs

git_clone exit 0 duration 960 ms · created
git clone --depth 1 --branch main --single-branch https://github.com/AlexKontorovich/PrimeNumberTheoremAnd.git /var/lib/apodeixis/repos/job-545-source
Cloning into '/var/lib/apodeixis/repos/job-545-source'...
git_checkout exit 0 duration 26 ms · created
git checkout efed0f9ec8f4bceb69f1ca1ae8c8ffa07dced887
Note: switching to 'efed0f9ec8f4bceb69f1ca1ae8c8ffa07dced887'.

You are in 'detached HEAD' state. You can look around, make experimental
changes and commit them, and you can discard any commits you make in this
state without impacting any branches by switching back to a branch.

If you want to create a new branch to retain commits you create, you may
do so (now or later) by using -c with the switch command. Example:

  git switch -c <new-branch-name>

Or undo this operation with:

  git switch -

Turn off this advice by setting config variable advice.detachedHead to false

HEAD is now at efed0f9 chore: bump to Lean v4.31.0 and drop upstreamed CostaPereira (#1600)
lake_cache exit 0 duration 2m 20s · created
lake exe cache get
Current branch: HEAD
Using cache from origin: (some leanprover-community/mathlib4)
Attempting to download 8546 file(s) from leanprover-community/mathlib4 cache at https://lakecache.blob.core.windows.net/mathlib4-master
Decompressed 8546 file(s)
Already decompressed 8546 file(s)
info: mathlib: cloning https://github.com/leanprover-community/mathlib4.git
info: mathlib: checking out revision 'db127794c79fdeb86f6b0cf6ff2c804026fbaff1'
info: PrimeCert: cloning https://github.com/b-mehta/PrimeCert
info: PrimeCert: checking out revision 'f699a3e5d3efb381b9ddfb61a1ca51be25f456bd'
info: leancert: cloning https://github.com/kim-em/leancert.git
info: leancert: checking out revision '41cb6b59a7c06622b327cf23eaf5f4331a655fd9'
info: LeanArchitect: cloning https://github.com/hanwenzhu/LeanArchitect.git
info: LeanArchitect: checking out revision '8f56f86dcec03fa46cd21b0f7bee4d724f68dcc4'
info: batteries: cloning https://github.com/leanprover-community/batteries
info: batteries: checking out revision 'fc38104235ab6cf8a448a74405aa258804ef4e36'
✔ [1/5] Built Cache.Cli (448ms)
✔ [2/5] Built Cache.Lean (430ms)
✔ [6/11] Built Cache.Infra (503ms)
✔ [7/12] Built Cache.IO (1.6s)
✔ [8/15] Built Cache.Hashing (921ms)
✔ [10/26] Built Cache.Requests (2.0s)
✔ [11/26] Built Cache.Cli:c.o (1.4s)
✔ [12/26] Built Cache.Lean:c.o (136ms)
✔ [14/26] Built Cache.IO:c.o (1.2s)
✔ [15/26] Built Cache.Hashing:c.o (377ms)
✔ [16/26] Built Cache.Infra:c.o (187ms)
✔ [17/26] Built Cache.Requests:c.o (2.0s)
✔ [18/26] Built Cache.Marker (723ms)
✔ [19/26] Built Cache.Marker:c.o (108ms)
✔ [20/26] Built Cache.Query (735ms)
✔ [21/26] Built Cache.Query:c.o (236ms)
✔ [22/26] Built Cache.Warning (775ms)
✔ [23/26] Built Cache.Warning:c.o (213ms)
✔ [24/26] Built Cache.Main (1.6s)
✔ [25/26] Built Cache.Main:c.o (762ms)
✔ [26/26] Built cache:exe (5.8s)

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Downloaded: 6175 file(s) [attempted 6175/8546 = 72%, 1204 KB/s], Decompressed: 4037
Downloaded: 6216 file(s) [attempted 6216/8546 = 72%, 368 KB/s], Decompressed: 4037
Downloaded: 6256 file(s) [attempted 6256/8546 = 73%, 213 KB/s], Decompressed: 4037
Downloaded: 6297 file(s) [attempted 6297/8546 = 73%, 280 KB/s], Decompressed: 4037
Downloaded: 6334 file(s) [attempted 6334/8546 = 74%, 88 KB/s], Decompressed: 5106
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lean_checker exit 1 duration 35m 29s · created
lake build
✔ [2071/2074] Built PrimeNumberTheoremAnd.Auxiliary (41s)
✔ [3001/3008] Built PrimeNumberTheoremAnd.Sobolev (29s)
✔ [3021/3026] Built PrimeNumberTheoremAnd.Fourier (3.6s)
✔ [3022/3027] Built Architect.Basic (5.7s)
✔ [3023/3027] Built Architect.Command (917ms)
✔ [3024/3027] Built Architect.CollectUsed (945ms)
✔ [3025/3027] Built Architect.Content (959ms)
✔ [3026/3031] Built Architect.Attribute (1.6s)
✔ [3027/3032] Built Architect.Tactic (1.5s)
✔ [3028/3032] Built Architect.Output (1.8s)
✔ [3030/3033] Built Architect.Load (1.0s)
✔ [3031/3037] Built Architect (805ms)
✔ [3059/3068] Built PrimeNumberTheoremAnd.Defs (25s)
✔ [3544/3554] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Log.Basic (3.6s)
✔ [3546/3554] Built PrimeNumberTheoremAnd.Rectangle (3.0s)
✔ [3550/3555] Built PrimeNumberTheoremAnd.Tactic.AdditiveCombination (2.3s)
✔ [3552/3560] Built PrimeNumberTheoremAnd.ZetaConj (5.2s)
✔ [3554/3561] Built PrimeNumberTheoremAnd.IEANTN.ZetaDefinitions (10s)
✔ [3557/3562] Built PrimeNumberTheoremAnd.EulerMaclaurin (5.5s)
✔ [3561/3567] Built PrimeNumberTheoremAnd.ResidueCalcOnRectangles (8.0s)
✔ [3563/3567] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Complex.LogBounds (2.7s)
✔ [3565/3569] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.Norm (1.5s)
✔ [3566/3569] Built PrimeNumberTheoremAnd.ZetaBounds (48s)
✔ [3570/3588] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Meromorphic.DivisorSupport (8.8s)
✔ [3573/3588] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.LocallyUniformLimit (2.7s)
✔ [3575/3588] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.WeierstrassFactor (3.5s)
✔ [3576/3588] Built PrimeNumberTheoremAnd.Mathlib.Topology.MetricSpace.Annulus (1.9s)
✔ [3577/3588] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CanonicalProduct (2.4s)
✔ [3578/3588] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorIndex (2.1s)
✔ [3579/3588] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorUnits (1.9s)
✔ [3580/3590] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorConvergence (3.1s)
✔ [3581/3590] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorFiber (2.7s)
✔ [3583/3592] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorComplement (4.2s)
✔ [3585/3592] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorPartialProductFactor (2.7s)
✔ [3587/3596] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorQuotientConvergence (3.8s)
✔ [3589/3598] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorQuotientRemovable (2.8s)
✔ [3592/3598] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.Divisor (2.4s)
✔ [3595/3601] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.HadamardFactorization (2.9s)
✔ [3610/3629] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Exp (1.9s)
✔ [3611/3629] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Meromorphic.DivisorHolomorphic (1.8s)
✔ [3613/3631] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Log.Dyadic (2.6s)
✔ [3615/3631] Built PrimeNumberTheoremAnd.MellinCalculus (63s)
✔ [3616/3631] Built PrimeNumberTheoremAnd.Mathlib.Algebra.Notation.Support (2.5s)
✔ [3618/3632] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Log.PosLog (3.9s)
✔ [3620/3632] Built PrimeNumberTheoremAnd.SmoothExistence (21s)
✔ [3622/3633] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Log.ExpGrowth (2.1s)
ℹ [3626/3636] Built PrimeNumberTheoremAnd.MediumPNT (63s)
info: PrimeNumberTheoremAnd/MediumPNT.lean:4282:0: 'MediumPNT' depends on axioms: [propext, Classical.choice, Quot.sound]
✔ [3632/3638] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Basic (13s)
✔ [3634/3639] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Growth (4.2s)
✔ [3636/3646] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.HadamardFactorization.Summability (4.4s)
✔ [3638/3648] Built PrimeNumberTheoremAnd.Backlund.ZeroCountCrude (186s)
✔ [3640/3651] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Asymptotics.Asymptotics (23s)
✔ [3644/3655] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.Sieve.AuxResults (16s)
✔ [3647/3655] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.Sieve.Basic (3.0s)
✔ [3650/3656] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.Sieve.Selberg (4.7s)
⚠ [3651/3656] Built PrimeNumberTheoremAnd.StrongPNT (74s)
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1475:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1524:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1641:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1786:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:2041:48: This simp argument is unused:
  neg_div

Hint: Omit it from the simp argument list.
  simp only ̵[̵n̵e̵g̵_̵d̵i̵v̵]̵

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:2181:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:2271:6: declaration uses `sorry`
✔ [3653/3656] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.Sieve.SelbergBounds (32s)
✔ [3654/3656] Built PrimeNumberTheoremAnd.BorelCaratheodory (65s)
✔ [3655/3660] Built PrimeNumberTheoremAnd.BrunTitchmarsh (5.4s)
✔ [3778/3784] Built LeanCert.Core.Interval (3.1s)
⚠ [3779/3784] Built PrimeNumberTheoremAnd.Wiener (45s)
warning: PrimeNumberTheoremAnd/Wiener.lean:323:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/Wiener.lean:342:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/Wiener.lean:1392:37: This simp argument is unused:
  show 2 + n - 1 = n + 1 from by omega

Hint: Omit it from the simp argument list.
  simp only [cumsum_succ, show 2 + n - 1 =̵ ̵n̵ ̵+̵ ̵1̵ ̵f̵r̵o̵m̵ ̵b̵y̵ ̵o̵m̵e̵g̵a̵,̵
  ̵ ̵ ̵ ̵ ̵ ̵ ̵s̵h̵o̵w̵ ̵2̵ ̵+̵ ̵n̵ ̵- 1 -̵ ̵1̵ ̵= n from by omega,
  ̲  ̲ ̲ ̲show 2 + n = n + 2 from by omega, show 1 + n = n + 1 from by omega]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Wiener.lean:1393:6: This simp argument is unused:
  show 2 + n - 1 - 1 = n from by omega

Hint: Omit it from the simp argument list.
  simp only [cumsum_succ, show 2 + n - 1 = n + 1 from by omega,
      show 2 + n -̵ ̵1̵ ̵-̵ ̵1̵ ̵= n f̵r̵o̵m̵ ̵b̵y̵ ̵o̵m̵e̵g̵a̵,̵ ̵s̵h̵o̵w̵ ̵2̵ ̵+ n̵ ̵=̵ ̵n̵ ̵+̵ ̵2 from by omega, show 1 + n = n + 1 from by omega]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Wiener.lean:1393:44: This simp argument is unused:
  show 2 + n = n + 2 from by omega

Hint: Omit it from the simp argument list.
  simp only [cumsum_succ, show 2 + n - 1 = n + 1 from by omega,
      show 2 + n - 1 - 1 = n from by omega, show 2̵ ̵+̵ ̵n̵ ̵=̵ ̵n̵ ̵+̵ ̵2̵ ̵f̵r̵o̵m̵ ̵b̵y̵ ̵o̵m̵e̵g̵a̵,̵
  ̵ ̵ ̵ ̵ ̵ ̵ ̵s̵h̵o̵w̵ ̵1 + n = n + 1 from by omega]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Wiener.lean:1394:6: This simp argument is unused:
  show 1 + n = n + 1 from by omega

Hint: Omit it from the simp argument list.
  simp only [cumsum_succ, show 2 + n - 1 = n + 1 from by omega,
      show 2 + n - 1 - 1 = n from by omega, show 2 + n = n + 2 from by o̵m̵e̵g̵a̵,̵
  ̵ ̵ ̵ ̵ ̵ ̵ ̵s̵h̵o̵w̵ ̵1̵ ̵+̵ ̵n̵ ̵=̵ ̵n̵ ̵+̵ ̵1̵ ̵f̵r̵o̵m̵ ̵b̵y̵ ̵omega]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
✔ [3780/3784] Built LeanCert.Core.IntervalRat.Basic (32s)
⚠ [3781/3784] Built PrimeNumberTheoremAnd.Consequences (45s)
warning: PrimeNumberTheoremAnd/Consequences.lean:113:77: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [ne_eq, cast_eq_zero, floor_eq_zero, not_lt, mem_atTop_sets, g̵e̵_̵i̵f̵f̵_̵l̵e̵,̵
  ̵ ̵ ̵ ̵ ̵ ̵ ̵ ̵ ̵Set.mem_setOf_eq]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:121:69: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [Pi.sub_apply, neg_sub, norm_eq_abs, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:180:42: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [one_mul, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:242:71: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [Pi.sub_apply, norm_eq_abs, mul_assoc, eventually_atTop, g̵e̵_̵i̵f̵f̵_̵l̵e̵,̵ ̵norm_mul, abs_of_pos hε,
  ̲  ̲ ̲ ̲ ̲ ̲f] at H ⊢

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:254:71: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [isLittleO_iff, norm_eq_abs, norm_mul, eventually_atTop, g̵e̵_̵i̵f̵f̵_̵l̵e̵,̵
  ̵ ̵ ̵ ̵ ̵ ̵ ̵norm_div] at hf1 ⊢

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1014:49: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [EventuallyEq, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1131:12: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [one_div, gt_iff_lt, inv_pos, ofNat_pos, div_one, norm_eq_abs, eventually_atTop,
              g̵e̵_̵i̵ff̵_̵l̵e̵,̵ ̵f̵orall_const] at k_o1

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1211:44: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [norm_eq_abs, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at f_small

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1242:44: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [norm_eq_abs, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at f_small

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1269:15: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [g̵e̵_̵i̵f̵f̵_̵l̵e̵,̵ ̵a] at hb

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1280:42: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [gt_iff_lt, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at first_term

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1282:31: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1309:59: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [_root_.add_lt_add_iff_left, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at first_term

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1311:42: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [gt_iff_lt, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1344:48: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [Set.mem_Ioi, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1378:33: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at first_helper

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1379:44: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [gt_iff_lt, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at second_helper

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1395:15: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [g̵e̵_̵i̵f̵f̵_̵l̵e̵,̵ ̵sup_le_iff] at hb

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1559:44: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [Set.mem_Ici, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at squeeze

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
✔ [3782/3784] Built LeanCert.Tactic.IntervalAuto.Types (4.7s)
✔ [3783/3794] Built LeanCert.Tactic.IntervalAuto.Norm (3.3s)
✔ [3788/3794] Built LeanCert.Core.Expr (3.7s)
✔ [3789/3795] Built LeanCert.Meta.Numeral (3.0s)
✔ [3790/3795] Built LeanCert.Meta.ToExpr (3.8s)
✔ [3791/3795] Built LeanCert.Tactic.IntervalAuto.Extract (2.5s)
✔ [3792/3795] Built LeanCert.Core.Support (2.2s)
✔ [3793/3796] Built LeanCert.Tactic.IntervalAuto.Parse (4.1s)
✔ [3794/3796] Built LeanCert.Tactic.IntervalAuto.Diagnostic (2.5s)
✔ [3795/3797] Built LeanCert.Core.IntervalRat.Transcendental (3.2s)
✔ [3796/3799] Built LeanCert.Core.IntervalRat.LogReduction (3.4s)
✔ [3809/3819] Built LeanCert.Core.DerivativeIntervals (2.2s)
✔ [3812/3822] Built LeanCert.Core.TrigReduction (2.6s)
✔ [3813/3822] Built LeanCert.Core.Taylor (4.5s)
✔ [3814/3823] Built LeanCert.Core.IntervalRat.Taylor (9.3s)
✔ [3815/3824] Built LeanCert.Core.IntervalRat.TrigReduced (2.3s)
✔ [3816/3825] Built LeanCert.Core.IntervalReal (2.0s)
✔ [3817/3826] Built LeanCert.Core.IntervalRealEndpoints (2.9s)
✔ [3818/3826] Built LeanCert.Engine.Eval.Core (4.5s)
✔ [3819/3828] Built LeanCert.Engine.Eval.Extended (2.9s)
✔ [3820/3833] Built LeanCert.Tactic.Bound.Lemmas (2.1s)
✔ [3821/3833] Built LeanCert.Contrib.Sinc (3.0s)
✔ [3822/3833] Built LeanCert.Engine.IntervalEval (1.0s)
✔ [3823/3833] Built LeanCert.Engine.AD.Basic (2.1s)
✔ [3824/3833] Built LeanCert.Engine.AD.Transcendental (3.1s)
✔ [3825/3833] Built LeanCert.Engine.AD.Eval (2.1s)
✔ [3826/3833] Built LeanCert.Engine.AD.Correctness (2.7s)
✔ [3827/3834] Built LeanCert.Engine.AD.Computable (2.6s)
✔ [3828/3834] Built LeanCert.Engine.AD.PartialCorrectness (4.5s)
✔ [3829/3834] Built LeanCert.Engine.TaylorModel.Core (5.0s)
✔ [3830/3834] Built LeanCert.Engine.AD (1.0s)
✔ [3831/3836] Built LeanCert.Meta.ProveSupported (3.9s)
✔ [3832/3837] Built LeanCert.Tactic.IntervalAuto.ProveCommon (4.0s)
✔ [3834/3837] Built LeanCert.Tactic.IntervalAuto.Basic (2.4s)
✔ [3835/3837] Built LeanCert.Engine.TaylorModel.ExpLog (4.7s)
✔ [3836/3841] Built LeanCert.Engine.TaylorModel.Trig (6.1s)
✔ [3842/3849] Built LeanCert.Engine.TaylorModel.Special (2.1s)
✔ [3846/3853] Built LeanCert.Engine.Integrate (3.8s)
✔ [3847/3853] Built LeanCert.Engine.TaylorModel.Hyperbolic (7.1s)
✔ [3848/3856] Built LeanCert.Engine.TaylorModel.Integral (2.7s)
✔ [3849/3856] Built LeanCert.Engine.TaylorModel.Functions (1.0s)
✔ [3850/3856] Built LeanCert.Core.Dyadic (2.0s)
✔ [3851/3856] Built LeanCert.Engine.TaylorModel.Expr (3.4s)
✔ [3852/3856] Built LeanCert.Core.IntervalDyadic (4.8s)
✔ [3853/3860] Built LeanCert.Engine.TaylorModel (1.9s)
✔ [3854/3860] Built LeanCert.Engine.IntervalEvalDyadic (2.0s)
✔ [3855/3861] Built LeanCert.Engine.IntervalEvalRefined (2.7s)
✔ [3856/3861] Built LeanCert.Engine.Affine.Basic (3.9s)
✔ [3857/3861] Built LeanCert.Engine.Optimization.Box (2.2s)
✔ [3858/3864] Built LeanCert.Engine.Affine.Nonlinear (3.3s)
✔ [3859/3864] Built LeanCert.Engine.Affine.Transcendental (2.9s)
✔ [3860/3864] Built LeanCert.Engine.Optimize (4.0s)
✔ [3861/3865] Built LeanCert.Engine.IntervalEvalAffine (3.0s)
✔ [3862/3866] Built LeanCert.Engine.Optimization.Gradient (3.4s)
✔ [3863/3866] Built LeanCert.Engine.RootFinding.Basic (3.3s)
✔ [3864/3867] Built LeanCert.Engine.Optimization.Global (10s)
✔ [3865/3868] Built LeanCert.Engine.RootFinding.Bisection (3.3s)
✔ [3866/3870] Built LeanCert.Engine.RootFinding.Newton (3.2s)
✔ [3867/3871] Built LeanCert.Engine.RootFinding.MVTBounds (4.1s)
✔ [3868/3871] Built LeanCert.Engine.RootFinding.Contraction (3.6s)
✔ [3869/3871] Built LeanCert.Meta.ProveContinuous (3.4s)
✔ [3870/3873] Built LeanCert.Engine.RootFinding.Main (1.0s)
✔ [3871/3874] Built LeanCert.Validity.Bounds.Core (2.1s)
✔ [3872/3876] Built LeanCert.Validity.Bounds.WithInv (2.2s)
✔ [3873/3878] Built LeanCert.Validity.Bounds.Smart (2.3s)
✔ [3874/3879] Built LeanCert.Validity.Bounds.Bridge (2.3s)
✔ [3875/3879] Built LeanCert.Validity.Integration (3.5s)
✔ [3876/3881] Built LeanCert.Validity.Bounds.Basic (2.0s)
✔ [3877/3881] Built LeanCert.Validity.DyadicBounds (2.2s)
✔ [3878/3882] Built LeanCert.Validity.Bounds (4.5s)
✔ [3879/3883] Built LeanCert.Engine.Optimization.BoundVerify (2.4s)
✔ [3880/3883] Built LeanCert.Tactic.IntervalAuto.Multivariate (4.1s)
✔ [3881/3884] Built LeanCert.Tactic.IntervalAuto.Bound (20s)
✔ [3882/3885] Built LeanCert.Tactic.IntervalAuto.OptBound (2.8s)
✔ [3883/3886] Built LeanCert.Tactic.IntervalAuto.RootBound (2.8s)
✔ [3884/3889] Built LeanCert.Tactic.IntervalAuto.PointIneq (11s)
✔ [3885/3889] Built LeanCert.Tactic.IntervalAuto.Subdiv (5.9s)
✔ [3886/3899] Built LeanCert.Tactic.IntervalAuto.Adaptive (5.0s)
✔ [3888/3899] Built PrimeNumberTheoremAnd.GeneralMeromorphic (2.7s)
✔ [3889/3899] Built PrimeNumberTheoremAnd.HadamardFactorization (1.2s)
✔ [3890/3899] Built PrimeNumberTheoremAnd.HoffsteinLockhart (5.2s)
✔ [3891/3899] Built PrimeNumberTheoremAnd.IEANTN.KLN (9.3s)
⚠ [3892/3899] Built PrimeNumberTheoremAnd.IEANTN.RosserSchoenfeld.RosserSchoenfeldZeta (4.0s)
warning: PrimeNumberTheoremAnd/IEANTN/RosserSchoenfeld/RosserSchoenfeldZeta.lean:18:8: declaration uses `sorry`
✔ [3893/3900] Built LeanCert.Tactic.IntervalAuto (2.9s)
✔ [3895/3900] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Pow.Deriv (6.1s)
✔ [3896/3900] Built PrimeNumberTheoremAnd.IEANTN.LogTables (28s)
✖ [3898/3901] Building PrimeNumberTheoremAnd.IEANTN.Mertens (20s)
trace: .> LEAN_PATH=/apx/source/.lake/packages/Cli/.lake/build/lib/lean:/apx/source/.lake/packages/batteries/.lake/build/lib/lean:/apx/source/.lake/packages/Qq/.lake/build/lib/lean:/apx/source/.lake/packages/aesop/.lake/build/lib/lean:/apx/source/.lake/packages/proofwidgets/.lake/build/lib/lean:/apx/source/.lake/packages/importGraph/.lake/build/lib/lean:/apx/source/.lake/packages/LeanSearchClient/.lake/build/lib/lean:/apx/source/.lake/packages/plausible/.lake/build/lib/lean:/apx/source/.lake/packages/LeanArchitect/.lake/build/lib/lean:/apx/source/.lake/packages/checkdecls/.lake/build/lib/lean:/apx/source/.lake/packages/leancert/.lake/build/lib/lean:/apx/source/.lake/packages/PrimeCert/.lake/build/lib/lean:/apx/source/.lake/packages/mathlib/.lake/build/lib/lean:/apx/source/.lake/build/lib/lean /apx/elan/toolchains/leanprover--lean4---v4.31.0/bin/lean /apx/source/PrimeNumberTheoremAnd/IEANTN/Mertens.lean -o /apx/source/.lake/build/lib/lean/PrimeNumberTheoremAnd/IEANTN/Mertens.olean -i /apx/source/.lake/build/lib/lean/PrimeNumberTheoremAnd/IEANTN/Mertens.ilean -c /apx/source/.lake/build/ir/PrimeNumberTheoremAnd/IEANTN/Mertens.c --setup /apx/source/.lake/build/ir/PrimeNumberTheoremAnd/IEANTN/Mertens.setup.json --json
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:602:22: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [isBigO_iff, norm_eq_abs, norm_one, mul_one, e̵v̵e̵n̵t̵u̵a̵l̵l̵y̵_̵a̵t̵T̵o̵p̵,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]̵e̲v̲e̲n̲t̲u̲a̲l̲l̲y̲_̲a̲t̲T̲o̲p̲]̲

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:904:24: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [isBigO_iff, norm_eq_abs, one_mem, CStarRing.norm_of_mem_unitary, mul_one,
        eventually_atTop, g̵e̵_̵i̵f̵f̵_̵l̵e̵,̵ ̵E₁p]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1152:77: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [one_div, isBigO_iff, norm_eq_abs, norm_inv, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
error: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1246:4: Type mismatch: After simplification, term
  Summable.neg this
 has type
  @Summable ℝ Nat.Primes Real.instAddCommGroup.toAddCommMonoid PseudoMetricSpace.toUniformSpace.toTopologicalSpace
    (fun b ↦ -log (1 + -z b)) (SummationFilter.unconditional Nat.Primes)
but is expected to have type
  @Summable ℝ Nat.Primes Real.instAddCommMonoid PseudoMetricSpace.toUniformSpace.toTopologicalSpace
    (fun p ↦ -log (1 - z p)) (SummationFilter.unconditional Nat.Primes)
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1305:16: declaration uses `sorry`
error: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1332:2: `grind` failed
case grind.2
s : ℝ
hs : 1 < s
h :
  ¬(s - 1) *
        ∫ (a : ℝ) in Set.Ioi 1,
          (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2)) *
            a ^ (-s) ∂MeasureTheory.volume =
      ∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume + 1 -
        log (log 2)
h_1 : ¬-s + 1 = 0
⊢ False
[grind] Goal diagnostics
  [facts] Asserted facts
    [prop] 1 < s
    [prop] ¬(s - 1) *
              ∫ (a : ℝ) in Set.Ioi 1,
                (∫ (t : ℝ) in Set.Ioi 2,
                        (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                      1 -
                    log (log 2)) *
                  a ^ (-s) ∂MeasureTheory.volume =
            ∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2)
    [prop] ∫ (a : ℝ) in Set.Ioi 1,
            (∫ (t : ℝ) in Set.Ioi 2,
                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                  1 -
                log (log 2)) *
              a ^ (-s) ∂MeasureTheory.volume =
          (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2)) *
            ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume
    [prop] -s < -1 → 0 < 1 → ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume = -1 ^ (-s + 1) * (-s + 1)⁻¹
    [prop] if -s + 1 = 0 then (-s + 1)⁻¹ = 0 else (-s + 1) * (-s + 1)⁻¹ = 1
    [prop] 1 ^ (-s + 1) = 1
    [prop] ¬-s + 1 = 0
  [eqc] True propositions
    [prop] (-s + 1) * (-s + 1)⁻¹ = 1
    [prop] 1 < s
    [prop] if -s + 1 = 0 then (-s + 1)⁻¹ = 0 else (-s + 1) * (-s + 1)⁻¹ = 1
    [prop] ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume = -1 ^ (-s + 1) * (-s + 1)⁻¹
    [prop] -s < -1
    [prop] 0 < 1
    [prop] -s < -1 → 0 < 1 → ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume = -1 ^ (-s + 1) * (-s + 1)⁻¹
    [prop] 0 < 1 → ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume = -1 ^ (-s + 1) * (-s + 1)⁻¹
  [eqc] False propositions
    [prop] -s + 1 = 0
    [prop] (s - 1) *
            ∫ (a : ℝ) in Set.Ioi 1,
              (∫ (t : ℝ) in Set.Ioi 2,
                      (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                    1 -
                  log (log 2)) *
                a ^ (-s) ∂MeasureTheory.volume =
          ∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
              1 -
            log (log 2)
  [eqc] Equivalence classes
    [eqc] {1,
        (-s + 1) * (-s + 1)⁻¹,
        ((s - 1) *
              ∫ (a : ℝ) in Set.Ioi 1,
                (∫ (t : ℝ) in Set.Ioi 2,
                        (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                      1 -
                    log (log 2)) *
                  a ^ (-s) ∂MeasureTheory.volume -
            (∫ (t : ℝ) in Set.Ioi 2,
                  (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2))) *
          ((s - 1) *
                ∫ (a : ℝ) in Set.Ioi 1,
                  (∫ (t : ℝ) in Set.Ioi 2,
                          (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                        1 -
                      log (log 2)) *
                    a ^ (-s) ∂MeasureTheory.volume -
              (∫ (t : ℝ) in Set.Ioi 2,
                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                  1 -
                log (log 2)))⁻¹,
        1 ^ (-s + 1)}
    [eqc] {(∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
              1 -
            log (log 2)) *
          ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume,
        ∫ (a : ℝ) in Set.Ioi 1,
          (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2)) *
            a ^ (-s) ∂MeasureTheory.volume}
    [eqc] {-1, -1 ^ (-s + 1)}
    [eqc] {-1 ^ (-s + 1) * (-s + 1)⁻¹, ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume}
  [cases] Case analyses
    [cases] [2/2]: if -s + 1 = 0 then (-s + 1)⁻¹ = 0 else (-s + 1) * (-s + 1)⁻¹ = 1
      [cases] source: E-matching `@integral_Ioi_rpow_of_lt (-s)`
  [ematch] E-matching patterns
    [thm] MeasureTheory.integral_const_mul γ
              (· ^
                (-s)): [@MeasureTheory.integral `[ℝ] `[ℝ] `[NonUnitalNormedRing.toNormedAddCommGroup] `[NormedAlgebra.toNormedSpace
           ℝ] #1 #0 `[fun a ↦
           (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                 1 -
               log (log 2)) *
             a ^ (-s)]]
    [thm] @integral_Ioi_rpow_of_lt
              (-s): [@MeasureTheory.integral `[ℝ] `[ℝ] `[normedAddCommGroup] `[RCLike.toInnerProductSpaceReal.toNormedSpace] `[measurableSpace] (@MeasureTheory.Measure.restrict `[ℝ] `[measurableSpace] `[MeasureTheory.volume] (@Set.Ioi `[ℝ] `[instPreorder] #1)) `[fun
             x ↦
           x ^ (-s)]]
    [thm] one_rpow: [@HPow.hPow `[ℝ] `[ℝ] `[ℝ] `[instHPow] `[1] #0]
    [thm] Nat.pow_pos: [@HPow.hPow `[ℕ] `[ℕ] `[ℕ] `[instHPow] #2 #1]
    [thm] Nat.div_pow_of_pos: [@HPow.hPow `[ℕ] `[ℕ] `[ℕ] `[instHPow] #2 #1]
  [linarith] Linarith assignment for `ℝ`
    [assign] s := 2
    [assign] log (log 2) := 0
    [assign] log 2 := 9
    [assign] ∫ (a : ℝ) in Set.Ioi 1,
          (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2)) *
            a ^ (-s) ∂MeasureTheory.volume := 0
    [assign] ∫ (t : ℝ) in Set.Ioi 2,
          (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume := 0
    [assign] ∫ (a : ℝ) in Set.Ioi 1,
          (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2)) *
            a ^ (-s) ∂MeasureTheory.volume := 0
    [assign] ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume := 20
    [assign] 「1 ^ (-s + 1)」 := 1
    [assign] ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume := 0
  [ring] Ring `ℝ`
    [basis] Basis
      [_] (s *
                          ∫ (a : ℝ) in Set.Ioi 1,
                            (∫ (t : ℝ) in Set.Ioi 2,
                                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                  1 -
                                log (log 2)) *
                              a ^ (-s) ∂MeasureTheory.volume) *
                        ((s - 1) *
                              ∫ (a : ℝ) in Set.Ioi 1,
                                (∫ (t : ℝ) in Set.Ioi 2,
                                        (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) *
                                          (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                      1 -
                                    log (log 2)) *
                                  a ^ (-s) ∂MeasureTheory.volume -
                            (∫ (t : ℝ) in Set.Ioi 2,
                                  (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                1 -
                              log (log 2)))⁻¹ +
                      -1 *
                        ((∫ (a : ℝ) in Set.Ioi 1,
                            (∫ (t : ℝ) in Set.Ioi 2,
                                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                  1 -
                                log (log 2)) *
                              a ^ (-s) ∂MeasureTheory.volume) *
                          ((s - 1) *
                                ∫ (a : ℝ) in Set.Ioi 1,
                                  (∫ (t : ℝ) in Set.Ioi 2,
                                          (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) *
                                            (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                        1 -
                                      log (log 2)) *
                                    a ^ (-s) ∂MeasureTheory.volume -
                              (∫ (t : ℝ) in Set.Ioi 2,
                                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                  1 -
                                log (log 2)))⁻¹) +
                    -1 *
                      ((∫ (t : ℝ) in Set.Ioi 2,
                          (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume) *
                        ((s - 1) *
                              ∫ (a : ℝ) in Set.Ioi 1,
                                (∫ (t : ℝ) in Set.Ioi 2,
                                        (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) *
                                          (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                      1 -
                                    log (log 2)) *
                                  a ^ (-s) ∂MeasureTheory.volume -
                            (∫ (t : ℝ) in Set.Ioi 2,
                                  (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                1 -
                              log (log 2)))⁻¹) +
                  log (log 2) *
                    ((s - 1) *
                          ∫ (a : ℝ) in Set.Ioi 1,
                            (∫ (t : ℝ) in Set.Ioi 2,
                                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                  1 -
                                log (log 2)) *
                              a ^ (-s) ∂MeasureTheory.volume -
                        (∫ (t : ℝ) in Set.Ioi 2,
                              (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                            1 -
                          log (log 2)))⁻¹ +
                -1 *
                  ((s - 1) *
                        ∫ (a : ℝ) in Set.Ioi 1,
                          (∫ (t : ℝ) in Set.Ioi 2,
                                  (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                1 -
                              log (log 2)) *
                            a ^ (-s) ∂MeasureTheory.volume -
                      (∫ (t : ℝ) in Set.Ioi 2,
                            (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                          1 -
                        log (log 2)))⁻¹ +
              -1 =
            0
      [_] (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume) *
                        ((s - 1) *
                              ∫ (a : ℝ) in Set.Ioi 1,
                                (∫ (t : ℝ) in Set.Ioi 2,
                                        (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) *
                                          (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                      1 -
                                    log (log 2)) *
                                  a ^ (-s) ∂MeasureTheory.volume -
                            (∫ (t : ℝ) in Set.Ioi 2,
                                  (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                1 -
                              log (log 2)))⁻¹ *
                      (-s + 1)⁻¹ +
                    -1 *
                      (log (log 2) *
                          ((s - 1) *
                                ∫ (a : ℝ) in Set.Ioi 1,
                                  (∫ (t : ℝ) in Set.Ioi 2,
                                          (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) *
                                            (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                        1 -
                                      log (log 2)) *
                                    a ^ (-s) ∂MeasureTheory.volume -
                              (∫ (t : ℝ) in Set.Ioi 2,
                                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                  1 -
                                log (log 2)))⁻¹ *
                        (-s + 1)⁻¹) +
                  (∫ (a : ℝ) in Set.Ioi 1,
                      (∫ (t : ℝ) in Set.Ioi 2,
                              (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                            1 -
                          log (log 2)) *
                        a ^ (-s) ∂MeasureTheory.volume) *
                    ((s - 1) *
                          ∫ (a : ℝ) in Set.Ioi 1,
                            (∫ (t : ℝ) in Set.Ioi 2,
                                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                  1 -
                                log (log 2)) *
                              a ^ (-s) ∂MeasureTheory.volume -
                        (∫ (t : ℝ) in Set.Ioi 2,
                              (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                            1 -
                          log (log 2)))⁻¹ +
                ((s - 1) *
                        ∫ (a : ℝ) in Set.Ioi 1,
                          (∫ (t : ℝ) in Set.Ioi 2,
                                  (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                1 -
                              log (log 2)) *
                            a ^ (-s) ∂MeasureTheory.volume -
                      (∫ (t : ℝ) in Set.Ioi 2,
                            (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                          1 -
                        log (log 2)))⁻¹ *
                  (-s + 1)⁻¹ +
              (-s + 1)⁻¹ =
            0
      [_] s * (-s + 1)⁻¹ + -1 * (-s + 1)⁻¹ + 1 = 0
      [_] 1 ^ (-s + 1) + -1 = 0
[grind] Diagnostics
  [thm] E-Matching instances
    [thm] extra_0 ↦ 1
    [thm] extra_1 ↦ 1
    [thm] one_rpow ↦ 1
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1799:24: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [isBigO_iff, norm_eq_abs, one_mem, CStarRing.norm_of_mem_unitary, mul_one,
        eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1950:77: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [one_div, isBigO_iff, norm_eq_abs, norm_inv, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1987:24: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [isBigO_iff, norm_eq_abs, one_mem, CStarRing.norm_of_mem_unitary, mul_one,
        eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:2249:58: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [isBigO_iff, norm_eq_abs, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:2267:77: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [EventuallyEq.iff_eventually, Pi.div_apply, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
error: Lean exited with code 1
✔ [3899/3906] Built PrimeNumberTheoremAnd.EulerMascheroniBounds (9.4s)
✔ [3957/3972] Built PrimeNumberTheoremAnd.IEANTN.FioriKadiriSwidinsky.FioriKadiriSwidinsky_tables (2.8s)
✔ [3960/3972] Built LeanCert.Engine.TaylorModel.Log1p (4.2s)
✔ [3962/3972] Built PrimeNumberTheoremAnd.IEANTN.LnFactorialSeries (5.8s)
✔ [3965/3974] Built LeanCert.Examples.Li2Base (2.8s)
✔ [3966/3974] Built PrimeNumberTheoremAnd.IEANTN.PVIdentity (17s)
⚠ [3968/3975] Built LeanCert.Examples.Li2Bounds (2.3s)
warning: LeanCert/Examples/Li2Bounds.lean:40:8: declaration uses `sorry`
warning: LeanCert/Examples/Li2Bounds.lean:48:8: declaration uses `sorry`
✔ [3970/3976] Built PrimeNumberTheoremAnd.IEANTN.LiSeries (10s)
✔ [3971/3977] Built PrimeNumberTheoremAnd.IEANTN.Li2Bounds (3.3s)
✔ [4108/4114] Built PrimeNumberTheoremAnd.IEANTN.BKLNW.BKLNW_app_tables (46s)
✔ [4109/4117] Built PrimeNumberTheoremAnd.IEANTN.RosserSchoenfeld.RosserSchoenfeldPrime_tables (24s)
✔ [4112/4117] Built PrimeNumberTheoremAnd.IEANTN.BKLNW.BKLNW_tables (94s)
✔ [4114/4118] Built LeanCert.Engine.FinSumDyadic (4.9s)
✔ [4115/4118] Built LeanCert.Examples.BKLNW_a2_base (4.9s)
✔ [4116/4122] Built LeanCert.Engine.WitnessSum (2.5s)
✔ [4117/4146] Built LeanCert.Engine.ReflectiveSum (4.0s)
✔ [4118/4147] Built LeanCert.Tactic.VecUtil (2.1s)
✔ [4119/4147] Built LeanCert.Tactic.FinSumExpand (1.4s)
✔ [4121/4149] Built LeanCert.Examples.BKLNW_a2_reflective (91s)
✔ [4122/4149] Built LeanCert.Examples.BKLNW_a2_bounds (2.9s)
✔ [4123/4160] Built LeanCert.Examples.BKLNW_a2_pow2 (2.7s)
✔ [4154/4160] Built LeanCert.Engine.Chebyshev.Psi (2.9s)
✔ [4155/4162] Built PrimeNumberTheoremAnd.IEANTN.eSHP.eSHP_tables (6.1s)
✔ [4156/4164] Built LeanCert.Engine.ChebyshevPsi (1.0s)
⚠ [4158/4167] Built PrimeNumberTheoremAnd.IEANTN.eSHP.eSHP (22s)
warning: PrimeNumberTheoremAnd/IEANTN/eSHP/eSHP.lean:85:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/eSHP/eSHP.lean:129:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/eSHP/eSHP.lean:304:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/eSHP/eSHP.lean:449:8: declaration uses `sorry`
⚠ [4163/4169] Built PrimeNumberTheoremAnd.IEANTN.Erdos392 (55s)
warning: PrimeNumberTheoremAnd/IEANTN/Erdos392.lean:3160:6: 'change ((pairProd f.a.toList).length : ℝ) ≤ _' tactic does nothing

Note: This linter can be disabled with `set_option linter.unusedTactic false`
✔ [4164/4169] Built LeanCert.Engine.Chebyshev.Theta (9.9s)
✔ [4166/4169] Built LeanCert.Engine.ChebyshevTheta (2.1s)
ℹ [4167/4174] Built PrimeNumberTheoremAnd.IEANTN.Ramanujan.RamanujanCalculations (21s)
info: PrimeNumberTheoremAnd/IEANTN/Ramanujan/RamanujanCalculations.lean:76:4: Try this:
  [apply] ring_nf
  
  The `ring` tactic failed to close the goal. Use `ring_nf` to obtain a normal form.
    
  Note that `ring` works primarily in *commutative* rings. If you have a noncommutative ring, abelian group or module, consider using `noncomm_ring`, `abel` or `module` instead.
✔ [4169/4175] Built LeanCert.Cert.Interval (1.3s)
✔ [4170/4176] Built LeanCert.ANT.Step (5.9s)
✔ [4171/4177] Built LeanCert.ANT.Abel (2.7s)
✔ [4172/4177] Built LeanCert.ANT.Asymp.Env (2.0s)
✔ [4173/4196] Built LeanCert.ANT.Asymp.Hyperbola (2.7s)
✔ [4174/4196] Built LeanCert.ANT.Asymp.Stieltjes (2.7s)
✔ [4175/4196] Built LeanCert.ANT.Asymp.Pointwise (2.7s)
✔ [4176/4196] Built LeanCert.Engine.Table (535ms)
✔ [4177/4201] Built LeanCert.ANT.Asymp.Checkers (2.7s)
✔ [4178/4201] Built LeanCert.ANT.Asymp.Inequality (2.5s)
✔ [4179/4201] Built LeanCert.Validity.AffineBounds (2.9s)
✔ [4180/4201] Built PrimeNumberTheoremAnd.Tactic.Simprocs (1.6s)
✔ [4182/4201] Built LeanCert.ANT.Asymp (2.3s)
✔ [4199/4203] Built LeanCert.Validity.AffineCover (2.2s)
✔ [4201/4204] Built PrimeCert.Interval (2.2s)
✔ [4202/4204] Built PrimeCert.Meta.PrimeCert (1.9s)
✔ [4203/4205] Built PrimeCert.Meta.SmallPrime (1.1s)
✔ [4204/4207] Built PrimeCert.PredMod (500ms)
✔ [4205/4211] Built PrimeCert.PowMod (1.5s)
✔ [4208/4220] Built PrimeCert.Pocklington (2.7s)
✔ [4210/4220] Built PrimeCert.SmallPrimes (2.1s)
✔ [4211/4222] Built PrimeCert.Pocklington3 (4.3s)
✔ [4212/4222] Built PrimeCert.Wieferich (2.2s)
⚠ [4213/4225] Built PrimeNumberTheoremAnd.IEANTN.KadiriZeroCounting (18s)
warning: PrimeNumberTheoremAnd/IEANTN/KadiriZeroCounting.lean:2061:6: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
✔ [4215/4225] Built PrimeCert (1.7s)
✔ [4217/4225] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.AbsMax (3.9s)
✖ [4218/4225] Building PrimeNumberTheoremAnd.IEANTN.KadiriEq12Helpers (6.1s)
trace: .> LEAN_PATH=/apx/source/.lake/packages/Cli/.lake/build/lib/lean:/apx/source/.lake/packages/batteries/.lake/build/lib/lean:/apx/source/.lake/packages/Qq/.lake/build/lib/lean:/apx/source/.lake/packages/aesop/.lake/build/lib/lean:/apx/source/.lake/packages/proofwidgets/.lake/build/lib/lean:/apx/source/.lake/packages/importGraph/.lake/build/lib/lean:/apx/source/.lake/packages/LeanSearchClient/.lake/build/lib/lean:/apx/source/.lake/packages/plausible/.lake/build/lib/lean:/apx/source/.lake/packages/LeanArchitect/.lake/build/lib/lean:/apx/source/.lake/packages/checkdecls/.lake/build/lib/lean:/apx/source/.lake/packages/leancert/.lake/build/lib/lean:/apx/source/.lake/packages/PrimeCert/.lake/build/lib/lean:/apx/source/.lake/packages/mathlib/.lake/build/lib/lean:/apx/source/.lake/build/lib/lean /apx/elan/toolchains/leanprover--lean4---v4.31.0/bin/lean /apx/source/PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.lean -o /apx/source/.lake/build/lib/lean/PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.olean -i /apx/source/.lake/build/lib/lean/PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.ilean -c /apx/source/.lake/build/ir/PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.c --setup /apx/source/.lake/build/ir/PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.setup.json --json
error: PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.lean:39:4: Type mismatch: After simplification, term
  HasDerivAt.comp z₀ (hasDerivAt_zpow n (z₀ - x) (Or.inl hz₀x)) (HasDerivAt.sub_const x (hasDerivAt_id z₀))
 has type
  @HasDerivAt ℂ DenselyNormedField.toNontriviallyNormedField ℂ NormedField.toNormedCommRing.toAddCommGroup
    (NormedAlgebra.toNormedSpace ℂ).toModule PseudoMetricSpace.toUniformSpace.toTopologicalSpace ⋯
    ((fun x ↦ x ^ n) ∘ fun x_1 ↦ x_1 - x) (↑n * (z₀ - x) ^ (n - 1)) z₀
but is expected to have type
  @HasDerivAt ℂ DenselyNormedField.toNontriviallyNormedField ℂ addCommGroup Semiring.toModule
    PseudoMetricSpace.toUniformSpace.toTopologicalSpace ⋯ (fun z ↦ (z - x) ^ n) (↑n * (z₀ - x) ^ (n - 1)) z₀
error: PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.lean:223:63: unsolved goals
case e'_2
φ : ℝ → ℂ
b σ : ℝ
hφ : Continuous φ
hφ_decay : (fun x ↦ φ x * cexp (↑x / 2)) =O[cocompact ℝ] fun x ↦ Real.exp (-(1 / 2 + b) * |x|)
hσ_top : -(1 + b) < σ
hσ_bot : σ < b
h_loc : LocallyIntegrable (fun y ↦ φ y * cexp (-↑σ * ↑y)) volume
hbig_top : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atTop] fun y ↦ Real.exp (-(1 + b + σ) * y)
hbig_bot : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atBot] fun y ↦ Real.exp ((b - σ) * y)
hint_top : IntegrableAtFilter (fun y ↦ Real.exp (-(1 + b + σ) * y)) atTop volume
hα : 0 < b - σ
h_top : IntegrableAtFilter (fun y ↦ Real.exp (-((b - σ) * y))) atTop volume
⊢ Measure.comap Neg.neg volume = Measure.comap Neg.neg ?m.1187

case e'_3
φ : ℝ → ℂ
b σ : ℝ
hφ : Continuous φ
hφ_decay : (fun x ↦ φ x * cexp (↑x / 2)) =O[cocompact ℝ] fun x ↦ Real.exp (-(1 / 2 + b) * |x|)
hσ_top : -(1 + b) < σ
hσ_bot : σ < b
h_loc : LocallyIntegrable (fun y ↦ φ y * cexp (-↑σ * ↑y)) volume
hbig_top : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atTop] fun y ↦ Real.exp (-(1 + b + σ) * y)
hbig_bot : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atBot] fun y ↦ Real.exp ((b - σ) * y)
hint_top : IntegrableAtFilter (fun y ↦ Real.exp (-(1 + b + σ) * y)) atTop volume
hα : 0 < b - σ
h_top : IntegrableAtFilter (fun y ↦ Real.exp (-((b - σ) * y))) atTop volume
⊢ volume = Measure.map ⇑(MeasurableEquiv.neg ℝ).symm ?m.1187

φ : ℝ → ℂ
b σ : ℝ
hφ : Continuous φ
hφ_decay : (fun x ↦ φ x * cexp (↑x / 2)) =O[cocompact ℝ] fun x ↦ Real.exp (-(1 / 2 + b) * |x|)
hσ_top : -(1 + b) < σ
hσ_bot : σ < b
h_loc : LocallyIntegrable (fun y ↦ φ y * cexp (-↑σ * ↑y)) volume
hbig_top : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atTop] fun y ↦ Real.exp (-(1 + b + σ) * y)
hbig_bot : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atBot] fun y ↦ Real.exp ((b - σ) * y)
hint_top : IntegrableAtFilter (fun y ↦ Real.exp (-(1 + b + σ) * y)) atTop volume
hα : 0 < b - σ
h_top : IntegrableAtFilter (fun y ↦ Real.exp (-((b - σ) * y))) atTop volume
⊢ Measure ℝ
error: PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.lean:312:24: `ring_nf` made no progress on the goal
error: Lean exited with code 1
✔ [4219/4259] Built PrimeNumberTheoremAnd.IEANTN.PrimeTables (6.3s)
✔ [4223/4261] Built PrimeNumberTheoremAnd.IEANTN.HadamardLogDerivative (4.9s)
✔ [4225/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanProductBound (1.6s)
✔ [4226/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.BorelCaratheodory (2.3s)
✔ [4227/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Calculus.Deriv.Polynomial (1.6s)
✔ [4228/4261] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.ZetaFunctionalEquation (1.7s)
✔ [4229/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.Basic (1.6s)
✔ [4230/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.Trigonometric (1.4s)
✔ [4231/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Gamma.IntegralBounds (1.8s)
✔ [4232/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.GammaBounds (3.1s)
✔ [4233/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Gamma.GammaStirlingAux (1.8s)
✔ [4234/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Pow.Real (1.7s)
✔ [4235/4261] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZeta (2.4s)
✔ [4236/4261] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.Convex (2.8s)
✔ [4237/4261] Built PrimeNumberTheoremAnd.Mathlib.MeasureTheory.Integral.IntegrableOn (1.5s)
✔ [4238/4261] Built PrimeNumberTheoremAnd.Mathlib.Algebra.Order.Floor.Ring (1.1s)
✔ [4239/4261] Built PrimeNumberTheoremAnd.Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic (1.5s)
✔ [4242/4276] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.AbelSummation (1.8s)
✔ [4245/4276] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.ExpPoly (7.4s)
✔ [4246/4276] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.CompletedXi (1.8s)
✔ [4247/4276] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Gamma.StripBounds (5.2s)
✔ [4248/4276] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.ImproperIntegrals (1.8s)
✔ [4251/4276] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Gamma.DigammaSeries (16s)
✔ [4252/4276] Built PrimeNumberTheoremAnd.Mathlib.Topology.MetricSpace.Cauchy (1.2s)
✔ [4253/4276] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.Chebyshev (3.3s)
⚠ [4254/4276] Built PrimeNumberTheoremAnd.IwaniecKowalskiCh1 (9.6s)
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:74:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:91:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:298:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:638:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:680:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:718:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:986:3: error: doc-strings should start with a single space or newline

Note: This linter can be disabled with `set_option linter.style.docString false`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1259:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1429:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1444:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1456:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1474:6: declaration uses `sorry`
✔ [4259/4283] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Asymptotics.Uniformly (2.2s)
✔ [4260/4283] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.ExpPoly.Growth (3.7s)
✔ [4261/4283] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaAbelKernel (3.0s)
✔ [4262/4283] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaValues (2.4s)
⚠ [4263/4283] Built PrimeNumberTheoremAnd.LaplaceInversion (9.8s)
warning: PrimeNumberTheoremAnd/LaplaceInversion.lean:1750:4: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
warning: PrimeNumberTheoremAnd/LaplaceInversion.lean:1987:6: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
warning: PrimeNumberTheoremAnd/LaplaceInversion.lean:1992:6: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
warning: PrimeNumberTheoremAnd/LaplaceInversion.lean:2000:8: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
✔ [4265/4283] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CauchyIntegral (1.7s)
⚠ [4266/4283] Built PrimeNumberTheoremAnd.PerronFormula (9.4s)
warning: PrimeNumberTheoremAnd/PerronFormula.lean:138:22: `Set.diff_subset_diff` has been deprecated: Use `Set.sdiff_subset_sdiff` instead
warning: PrimeNumberTheoremAnd/PerronFormula.lean:660:4: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
✔ [4267/4283] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanBound (4.8s)
✔ [4268/4283] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaPartialSum (2.6s)
✔ [4270/4283] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanMajorantBound (10s)
✔ [4271/4283] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanInverseFactorBound (2.4s)
✔ [4272/4283] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaAbelContinuation (2.5s)
✔ [4273/4283] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CanonicalDecomposition (1.4s)
✔ [4274/4283] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.HadamardFactorization.Growth (4.5s)
✔ [4275/4283] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaConvexity (2.2s)
✔ [4276/4283] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.HadamardFactorization.Order (2.1s)
✔ [4277/4283] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaStripBound (1.7s)
✔ [4278/4283] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.ZetaFiniteOrder (13s)
✔ [4279/4283] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaHadamard (2.0s)
✔ [4280/4283] Built PrimeNumberTheoremAnd.IEANTN.KadiriEq13 (5.7s)
Some required targets logged failures:
- PrimeNumberTheoremAnd.IEANTN.Mertens
- PrimeNumberTheoremAnd.IEANTN.KadiriEq12Helpers
error: build failed
blueprint_build exit 1 duration 18m 45s · created
lake build :blueprint
✔ [16/35] Built Batteries.Lean.NameMapAttribute:c.o (1.6s)
✔ [17/35] Built Architect.Basic:c.o (902ms)
✔ [18/35] Built Architect.Command:c.o (294ms)
✔ [19/35] Built Architect.Content:c.o (219ms)
✔ [20/35] Built Architect.Attribute:c.o (958ms)
✔ [21/35] Built Architect.CollectUsed:c.o (158ms)
✔ [22/35] Built Architect.Tactic:c.o (785ms)
✔ [23/35] Built Architect.Output:c.o (2.3s)
✔ [24/35] Built Architect.Load:c.o (208ms)
✔ [25/35] Built Architect:c.o (80ms)
✔ [27/35] Built Cli.Basic:c.o (3.1s)
✔ [30/35] Built Cli.Extensions:c.o (498ms)
✔ [31/35] Built Cli:c.o (69ms)
✔ [32/35] Built Main (2.1s)
✔ [33/35] Built Main:c.o (294ms)
✔ [34/41] Built extract_blueprint:exe (6.4s)
✔ [2103/2110] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Auxiliary:blueprint (22s)
✔ [3035/3041] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Sobolev:blueprint (56s)
✔ [3055/3061] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Fourier:blueprint (7.4s)
✔ [3084/3097] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Defs:blueprint (46s)
✔ [3575/3585] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Log.Basic:blueprint (2.8s)
✔ [3576/3585] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Rectangle:blueprint (2.6s)
✔ [3581/3593] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.ZetaConj:blueprint (15s)
✔ [3582/3593] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Tactic.AdditiveCombination:blueprint (1.4s)
✔ [3586/3598] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.ZetaDefinitions:blueprint (20s)
✔ [3588/3598] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.EulerMaclaurin:blueprint (3.1s)
✔ [3596/3608] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.ResidueCalcOnRectangles:blueprint (14s)
✔ [3599/3608] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Complex.LogBounds:blueprint (2.7s)
✔ [3600/3608] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.Norm:blueprint (1.7s)
✔ [3602/3638] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.ZetaBounds:blueprint (64s)
✔ [3610/3638] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Meromorphic.DivisorSupport:blueprint (13s)
✔ [3611/3638] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.LocallyUniformLimit:blueprint (2.7s)
✔ [3613/3638] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.WeierstrassFactor:blueprint (3.3s)
✔ [3616/3638] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CanonicalProduct:blueprint (2.5s)
✔ [3618/3638] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Topology.MetricSpace.Annulus:blueprint (1.6s)
✔ [3619/3640] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorIndex:blueprint (2.4s)
✔ [3622/3642] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorConvergence:blueprint (2.4s)
✔ [3623/3642] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorUnits:blueprint (2.4s)
✔ [3626/3645] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorFiber:blueprint (2.5s)
✔ [3630/3648] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorComplement:blueprint (2.4s)
✔ [3634/3648] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorPartialProductFactor:blueprint (2.4s)
✔ [3639/3653] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorQuotientConvergence:blueprint (2.4s)
✔ [3642/3655] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.DivisorQuotientRemovable:blueprint (2.4s)
✔ [3647/3655] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.Divisor:blueprint (2.4s)
✔ [3650/3658] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.HadamardFactorization:blueprint (2.5s)
✔ [3666/3694] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Exp:blueprint (1.9s)
✔ [3667/3694] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Meromorphic.DivisorHolomorphic:blueprint (2.4s)
✔ [3668/3694] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Log.Dyadic:blueprint (1.0s)
✔ [3673/3696] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Log.PosLog:blueprint (1.9s)
✔ [3675/3696] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.MellinCalculus:blueprint (30s)
✔ [3676/3696] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Algebra.Notation.Support:blueprint (978ms)
✔ [3681/3699] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Log.ExpGrowth:blueprint (1.0s)
✔ [3682/3699] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.SmoothExistence:blueprint (5.2s)
ℹ [3683/3699] Replayed PrimeNumberTheoremAnd.MediumPNT
info: PrimeNumberTheoremAnd/MediumPNT.lean:4282:0: 'MediumPNT' depends on axioms: [propext, Classical.choice, Quot.sound]
✔ [3686/3701] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.MediumPNT:blueprint (77s)
✔ [3693/3701] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Basic:blueprint (9.1s)
✔ [3696/3712] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.ValueDistribution.LogCounting.Growth:blueprint (2.4s)
✔ [3699/3724] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.HadamardFactorization.Summability:blueprint (2.9s)
✔ [3703/3726] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Backlund.ZeroCountCrude:blueprint (18s)
✔ [3706/3726] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Asymptotics.Asymptotics:blueprint (7.1s)
✔ [3711/3727] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.Sieve.AuxResults:blueprint (3.9s)
⚠ [3715/3727] Replayed PrimeNumberTheoremAnd.StrongPNT
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1475:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1524:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1641:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1786:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:2041:48: This simp argument is unused:
  neg_div

Hint: Omit it from the simp argument list.
  simp only ̵[̵n̵e̵g̵_̵d̵i̵v̵]̵

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:2181:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:2271:6: declaration uses `sorry`
✔ [3716/3727] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.Sieve.Basic:blueprint (2.5s)
✔ [3719/3727] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.StrongPNT:blueprint (58s)
✔ [3721/3727] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.Sieve.Selberg:blueprint (2.4s)
✔ [3723/3728] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.BorelCaratheodory:blueprint (7.5s)
✔ [3724/3728] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.Sieve.SelbergBounds:blueprint (9.0s)
✔ [3726/3728] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.BrunTitchmarsh:blueprint (2.5s)
⚠ [3849/3857] Replayed PrimeNumberTheoremAnd.Wiener
warning: PrimeNumberTheoremAnd/Wiener.lean:323:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/Wiener.lean:342:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/Wiener.lean:1392:37: This simp argument is unused:
  show 2 + n - 1 = n + 1 from by omega

Hint: Omit it from the simp argument list.
  simp only [cumsum_succ, show 2 + n - 1 =̵ ̵n̵ ̵+̵ ̵1̵ ̵f̵r̵o̵m̵ ̵b̵y̵ ̵o̵m̵e̵g̵a̵,̵
  ̵ ̵ ̵ ̵ ̵ ̵ ̵s̵h̵o̵w̵ ̵2̵ ̵+̵ ̵n̵ ̵- 1 -̵ ̵1̵ ̵= n from by omega,
  ̲  ̲ ̲ ̲show 2 + n = n + 2 from by omega, show 1 + n = n + 1 from by omega]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Wiener.lean:1393:6: This simp argument is unused:
  show 2 + n - 1 - 1 = n from by omega

Hint: Omit it from the simp argument list.
  simp only [cumsum_succ, show 2 + n - 1 = n + 1 from by omega,
      show 2 + n -̵ ̵1̵ ̵-̵ ̵1̵ ̵= n f̵r̵o̵m̵ ̵b̵y̵ ̵o̵m̵e̵g̵a̵,̵ ̵s̵h̵o̵w̵ ̵2̵ ̵+ n̵ ̵=̵ ̵n̵ ̵+̵ ̵2 from by omega, show 1 + n = n + 1 from by omega]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Wiener.lean:1393:44: This simp argument is unused:
  show 2 + n = n + 2 from by omega

Hint: Omit it from the simp argument list.
  simp only [cumsum_succ, show 2 + n - 1 = n + 1 from by omega,
      show 2 + n - 1 - 1 = n from by omega, show 2̵ ̵+̵ ̵n̵ ̵=̵ ̵n̵ ̵+̵ ̵2̵ ̵f̵r̵o̵m̵ ̵b̵y̵ ̵o̵m̵e̵g̵a̵,̵
  ̵ ̵ ̵ ̵ ̵ ̵ ̵s̵h̵o̵w̵ ̵1 + n = n + 1 from by omega]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Wiener.lean:1394:6: This simp argument is unused:
  show 1 + n = n + 1 from by omega

Hint: Omit it from the simp argument list.
  simp only [cumsum_succ, show 2 + n - 1 = n + 1 from by omega,
      show 2 + n - 1 - 1 = n from by omega, show 2 + n = n + 2 from by o̵m̵e̵g̵a̵,̵
  ̵ ̵ ̵ ̵ ̵ ̵ ̵s̵h̵o̵w̵ ̵1̵ ̵+̵ ̵n̵ ̵=̵ ̵n̵ ̵+̵ ̵1̵ ̵f̵r̵o̵m̵ ̵b̵y̵ ̵omega]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
✔ [3851/3857] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Wiener:blueprint (43s)
⚠ [3853/3857] Replayed PrimeNumberTheoremAnd.Consequences
warning: PrimeNumberTheoremAnd/Consequences.lean:113:77: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [ne_eq, cast_eq_zero, floor_eq_zero, not_lt, mem_atTop_sets, g̵e̵_̵i̵f̵f̵_̵l̵e̵,̵
  ̵ ̵ ̵ ̵ ̵ ̵ ̵ ̵ ̵Set.mem_setOf_eq]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:121:69: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [Pi.sub_apply, neg_sub, norm_eq_abs, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:180:42: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [one_mul, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:242:71: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [Pi.sub_apply, norm_eq_abs, mul_assoc, eventually_atTop, g̵e̵_̵i̵f̵f̵_̵l̵e̵,̵ ̵norm_mul, abs_of_pos hε,
  ̲  ̲ ̲ ̲ ̲ ̲f] at H ⊢

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:254:71: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [isLittleO_iff, norm_eq_abs, norm_mul, eventually_atTop, g̵e̵_̵i̵f̵f̵_̵l̵e̵,̵
  ̵ ̵ ̵ ̵ ̵ ̵ ̵norm_div] at hf1 ⊢

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1014:49: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [EventuallyEq, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1131:12: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [one_div, gt_iff_lt, inv_pos, ofNat_pos, div_one, norm_eq_abs, eventually_atTop,
              g̵e̵_̵i̵ff̵_̵l̵e̵,̵ ̵f̵orall_const] at k_o1

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1211:44: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [norm_eq_abs, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at f_small

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1242:44: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [norm_eq_abs, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at f_small

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1269:15: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [g̵e̵_̵i̵f̵f̵_̵l̵e̵,̵ ̵a] at hb

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1280:42: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [gt_iff_lt, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at first_term

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1282:31: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1309:59: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [_root_.add_lt_add_iff_left, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at first_term

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1311:42: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [gt_iff_lt, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1344:48: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [Set.mem_Ioi, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1378:33: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at first_helper

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1379:44: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [gt_iff_lt, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at second_helper

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1395:15: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [g̵e̵_̵i̵f̵f̵_̵l̵e̵,̵ ̵sup_le_iff] at hb

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/Consequences.lean:1559:44: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [Set.mem_Ici, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵] at squeeze

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
✔ [3854/3867] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Consequences:blueprint (43s)
⚠ [3966/3982] Replayed PrimeNumberTheoremAnd.IEANTN.RosserSchoenfeld.RosserSchoenfeldZeta
warning: PrimeNumberTheoremAnd/IEANTN/RosserSchoenfeld/RosserSchoenfeldZeta.lean:18:8: declaration uses `sorry`
✔ [3969/3983] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.GeneralMeromorphic:blueprint (5.8s)
✔ [3970/3983] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.HadamardFactorization:blueprint (1.3s)
✔ [3971/3983] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.HoffsteinLockhart:blueprint (3.7s)
✔ [3972/3983] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.KLN:blueprint (4.0s)
✔ [3973/3983] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.RosserSchoenfeld.RosserSchoenfeldZeta:blueprint (3.5s)
✔ [3976/3984] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.LogTables:blueprint (6.4s)
✖ [3978/3984] Building PrimeNumberTheoremAnd.IEANTN.Mertens (37s)
trace: .> LEAN_PATH=/apx/source/.lake/packages/Cli/.lake/build/lib/lean:/apx/source/.lake/packages/batteries/.lake/build/lib/lean:/apx/source/.lake/packages/Qq/.lake/build/lib/lean:/apx/source/.lake/packages/aesop/.lake/build/lib/lean:/apx/source/.lake/packages/proofwidgets/.lake/build/lib/lean:/apx/source/.lake/packages/importGraph/.lake/build/lib/lean:/apx/source/.lake/packages/LeanSearchClient/.lake/build/lib/lean:/apx/source/.lake/packages/plausible/.lake/build/lib/lean:/apx/source/.lake/packages/LeanArchitect/.lake/build/lib/lean:/apx/source/.lake/packages/checkdecls/.lake/build/lib/lean:/apx/source/.lake/packages/leancert/.lake/build/lib/lean:/apx/source/.lake/packages/PrimeCert/.lake/build/lib/lean:/apx/source/.lake/packages/mathlib/.lake/build/lib/lean:/apx/source/.lake/build/lib/lean /apx/elan/toolchains/leanprover--lean4---v4.31.0/bin/lean /apx/source/PrimeNumberTheoremAnd/IEANTN/Mertens.lean -o /apx/source/.lake/build/lib/lean/PrimeNumberTheoremAnd/IEANTN/Mertens.olean -i /apx/source/.lake/build/lib/lean/PrimeNumberTheoremAnd/IEANTN/Mertens.ilean -c /apx/source/.lake/build/ir/PrimeNumberTheoremAnd/IEANTN/Mertens.c --setup /apx/source/.lake/build/ir/PrimeNumberTheoremAnd/IEANTN/Mertens.setup.json --json
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:602:22: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [isBigO_iff, norm_eq_abs, norm_one, mul_one, e̵v̵e̵n̵t̵u̵a̵l̵l̵y̵_̵a̵t̵T̵o̵p̵,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]̵e̲v̲e̲n̲t̲u̲a̲l̲l̲y̲_̲a̲t̲T̲o̲p̲]̲

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:904:24: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [isBigO_iff, norm_eq_abs, one_mem, CStarRing.norm_of_mem_unitary, mul_one,
        eventually_atTop, g̵e̵_̵i̵f̵f̵_̵l̵e̵,̵ ̵E₁p]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1152:77: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [one_div, isBigO_iff, norm_eq_abs, norm_inv, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
error: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1246:4: Type mismatch: After simplification, term
  Summable.neg this
 has type
  @Summable ℝ Nat.Primes Real.instAddCommGroup.toAddCommMonoid PseudoMetricSpace.toUniformSpace.toTopologicalSpace
    (fun b ↦ -log (1 + -z b)) (SummationFilter.unconditional Nat.Primes)
but is expected to have type
  @Summable ℝ Nat.Primes Real.instAddCommMonoid PseudoMetricSpace.toUniformSpace.toTopologicalSpace
    (fun p ↦ -log (1 - z p)) (SummationFilter.unconditional Nat.Primes)
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1305:16: declaration uses `sorry`
error: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1332:2: `grind` failed
case grind.2
s : ℝ
hs : 1 < s
h :
  ¬(s - 1) *
        ∫ (a : ℝ) in Set.Ioi 1,
          (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2)) *
            a ^ (-s) ∂MeasureTheory.volume =
      ∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume + 1 -
        log (log 2)
h_1 : ¬-s + 1 = 0
⊢ False
[grind] Goal diagnostics
  [facts] Asserted facts
    [prop] 1 < s
    [prop] ¬(s - 1) *
              ∫ (a : ℝ) in Set.Ioi 1,
                (∫ (t : ℝ) in Set.Ioi 2,
                        (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                      1 -
                    log (log 2)) *
                  a ^ (-s) ∂MeasureTheory.volume =
            ∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2)
    [prop] ∫ (a : ℝ) in Set.Ioi 1,
            (∫ (t : ℝ) in Set.Ioi 2,
                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                  1 -
                log (log 2)) *
              a ^ (-s) ∂MeasureTheory.volume =
          (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2)) *
            ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume
    [prop] -s < -1 → 0 < 1 → ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume = -1 ^ (-s + 1) * (-s + 1)⁻¹
    [prop] if -s + 1 = 0 then (-s + 1)⁻¹ = 0 else (-s + 1) * (-s + 1)⁻¹ = 1
    [prop] 1 ^ (-s + 1) = 1
    [prop] ¬-s + 1 = 0
  [eqc] True propositions
    [prop] (-s + 1) * (-s + 1)⁻¹ = 1
    [prop] 1 < s
    [prop] if -s + 1 = 0 then (-s + 1)⁻¹ = 0 else (-s + 1) * (-s + 1)⁻¹ = 1
    [prop] ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume = -1 ^ (-s + 1) * (-s + 1)⁻¹
    [prop] -s < -1
    [prop] 0 < 1
    [prop] -s < -1 → 0 < 1 → ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume = -1 ^ (-s + 1) * (-s + 1)⁻¹
    [prop] 0 < 1 → ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume = -1 ^ (-s + 1) * (-s + 1)⁻¹
  [eqc] False propositions
    [prop] -s + 1 = 0
    [prop] (s - 1) *
            ∫ (a : ℝ) in Set.Ioi 1,
              (∫ (t : ℝ) in Set.Ioi 2,
                      (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                    1 -
                  log (log 2)) *
                a ^ (-s) ∂MeasureTheory.volume =
          ∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
              1 -
            log (log 2)
  [eqc] Equivalence classes
    [eqc] {1,
        (-s + 1) * (-s + 1)⁻¹,
        ((s - 1) *
              ∫ (a : ℝ) in Set.Ioi 1,
                (∫ (t : ℝ) in Set.Ioi 2,
                        (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                      1 -
                    log (log 2)) *
                  a ^ (-s) ∂MeasureTheory.volume -
            (∫ (t : ℝ) in Set.Ioi 2,
                  (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2))) *
          ((s - 1) *
                ∫ (a : ℝ) in Set.Ioi 1,
                  (∫ (t : ℝ) in Set.Ioi 2,
                          (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                        1 -
                      log (log 2)) *
                    a ^ (-s) ∂MeasureTheory.volume -
              (∫ (t : ℝ) in Set.Ioi 2,
                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                  1 -
                log (log 2)))⁻¹,
        1 ^ (-s + 1)}
    [eqc] {(∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
              1 -
            log (log 2)) *
          ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume,
        ∫ (a : ℝ) in Set.Ioi 1,
          (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2)) *
            a ^ (-s) ∂MeasureTheory.volume}
    [eqc] {-1, -1 ^ (-s + 1)}
    [eqc] {-1 ^ (-s + 1) * (-s + 1)⁻¹, ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume}
  [cases] Case analyses
    [cases] [2/2]: if -s + 1 = 0 then (-s + 1)⁻¹ = 0 else (-s + 1) * (-s + 1)⁻¹ = 1
      [cases] source: E-matching `@integral_Ioi_rpow_of_lt (-s)`
  [ematch] E-matching patterns
    [thm] MeasureTheory.integral_const_mul γ
              (· ^
                (-s)): [@MeasureTheory.integral `[ℝ] `[ℝ] `[NonUnitalNormedRing.toNormedAddCommGroup] `[NormedAlgebra.toNormedSpace
           ℝ] #1 #0 `[fun a ↦
           (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                 1 -
               log (log 2)) *
             a ^ (-s)]]
    [thm] @integral_Ioi_rpow_of_lt
              (-s): [@MeasureTheory.integral `[ℝ] `[ℝ] `[normedAddCommGroup] `[RCLike.toInnerProductSpaceReal.toNormedSpace] `[measurableSpace] (@MeasureTheory.Measure.restrict `[ℝ] `[measurableSpace] `[MeasureTheory.volume] (@Set.Ioi `[ℝ] `[instPreorder] #1)) `[fun
             x ↦
           x ^ (-s)]]
    [thm] one_rpow: [@HPow.hPow `[ℝ] `[ℝ] `[ℝ] `[instHPow] `[1] #0]
    [thm] Nat.pow_pos: [@HPow.hPow `[ℕ] `[ℕ] `[ℕ] `[instHPow] #2 #1]
    [thm] Nat.div_pow_of_pos: [@HPow.hPow `[ℕ] `[ℕ] `[ℕ] `[instHPow] #2 #1]
  [linarith] Linarith assignment for `ℝ`
    [assign] s := 2
    [assign] log (log 2) := 0
    [assign] log 2 := 9
    [assign] ∫ (a : ℝ) in Set.Ioi 1,
          (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2)) *
            a ^ (-s) ∂MeasureTheory.volume := 0
    [assign] ∫ (t : ℝ) in Set.Ioi 2,
          (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume := 0
    [assign] ∫ (a : ℝ) in Set.Ioi 1,
          (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                1 -
              log (log 2)) *
            a ^ (-s) ∂MeasureTheory.volume := 0
    [assign] ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume := 20
    [assign] 「1 ^ (-s + 1)」 := 1
    [assign] ∫ (x : ℝ) in Set.Ioi 1, x ^ (-s) ∂MeasureTheory.volume := 0
  [ring] Ring `ℝ`
    [basis] Basis
      [_] (s *
                          ∫ (a : ℝ) in Set.Ioi 1,
                            (∫ (t : ℝ) in Set.Ioi 2,
                                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                  1 -
                                log (log 2)) *
                              a ^ (-s) ∂MeasureTheory.volume) *
                        ((s - 1) *
                              ∫ (a : ℝ) in Set.Ioi 1,
                                (∫ (t : ℝ) in Set.Ioi 2,
                                        (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) *
                                          (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                      1 -
                                    log (log 2)) *
                                  a ^ (-s) ∂MeasureTheory.volume -
                            (∫ (t : ℝ) in Set.Ioi 2,
                                  (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                1 -
                              log (log 2)))⁻¹ +
                      -1 *
                        ((∫ (a : ℝ) in Set.Ioi 1,
                            (∫ (t : ℝ) in Set.Ioi 2,
                                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                  1 -
                                log (log 2)) *
                              a ^ (-s) ∂MeasureTheory.volume) *
                          ((s - 1) *
                                ∫ (a : ℝ) in Set.Ioi 1,
                                  (∫ (t : ℝ) in Set.Ioi 2,
                                          (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) *
                                            (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                        1 -
                                      log (log 2)) *
                                    a ^ (-s) ∂MeasureTheory.volume -
                              (∫ (t : ℝ) in Set.Ioi 2,
                                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                  1 -
                                log (log 2)))⁻¹) +
                    -1 *
                      ((∫ (t : ℝ) in Set.Ioi 2,
                          (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume) *
                        ((s - 1) *
                              ∫ (a : ℝ) in Set.Ioi 1,
                                (∫ (t : ℝ) in Set.Ioi 2,
                                        (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) *
                                          (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                      1 -
                                    log (log 2)) *
                                  a ^ (-s) ∂MeasureTheory.volume -
                            (∫ (t : ℝ) in Set.Ioi 2,
                                  (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                1 -
                              log (log 2)))⁻¹) +
                  log (log 2) *
                    ((s - 1) *
                          ∫ (a : ℝ) in Set.Ioi 1,
                            (∫ (t : ℝ) in Set.Ioi 2,
                                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                  1 -
                                log (log 2)) *
                              a ^ (-s) ∂MeasureTheory.volume -
                        (∫ (t : ℝ) in Set.Ioi 2,
                              (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                            1 -
                          log (log 2)))⁻¹ +
                -1 *
                  ((s - 1) *
                        ∫ (a : ℝ) in Set.Ioi 1,
                          (∫ (t : ℝ) in Set.Ioi 2,
                                  (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                1 -
                              log (log 2)) *
                            a ^ (-s) ∂MeasureTheory.volume -
                      (∫ (t : ℝ) in Set.Ioi 2,
                            (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                          1 -
                        log (log 2)))⁻¹ +
              -1 =
            0
      [_] (∫ (t : ℝ) in Set.Ioi 2, (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume) *
                        ((s - 1) *
                              ∫ (a : ℝ) in Set.Ioi 1,
                                (∫ (t : ℝ) in Set.Ioi 2,
                                        (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) *
                                          (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                      1 -
                                    log (log 2)) *
                                  a ^ (-s) ∂MeasureTheory.volume -
                            (∫ (t : ℝ) in Set.Ioi 2,
                                  (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                1 -
                              log (log 2)))⁻¹ *
                      (-s + 1)⁻¹ +
                    -1 *
                      (log (log 2) *
                          ((s - 1) *
                                ∫ (a : ℝ) in Set.Ioi 1,
                                  (∫ (t : ℝ) in Set.Ioi 2,
                                          (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) *
                                            (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                        1 -
                                      log (log 2)) *
                                    a ^ (-s) ∂MeasureTheory.volume -
                              (∫ (t : ℝ) in Set.Ioi 2,
                                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                  1 -
                                log (log 2)))⁻¹ *
                        (-s + 1)⁻¹) +
                  (∫ (a : ℝ) in Set.Ioi 1,
                      (∫ (t : ℝ) in Set.Ioi 2,
                              (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                            1 -
                          log (log 2)) *
                        a ^ (-s) ∂MeasureTheory.volume) *
                    ((s - 1) *
                          ∫ (a : ℝ) in Set.Ioi 1,
                            (∫ (t : ℝ) in Set.Ioi 2,
                                    (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                  1 -
                                log (log 2)) *
                              a ^ (-s) ∂MeasureTheory.volume -
                        (∫ (t : ℝ) in Set.Ioi 2,
                              (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                            1 -
                          log (log 2)))⁻¹ +
                ((s - 1) *
                        ∫ (a : ℝ) in Set.Ioi 1,
                          (∫ (t : ℝ) in Set.Ioi 2,
                                  (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                                1 -
                              log (log 2)) *
                            a ^ (-s) ∂MeasureTheory.volume -
                      (∫ (t : ℝ) in Set.Ioi 2,
                            (∑ x ∈ Ioc 0 ⌊t⌋₊, Λ x * (↑x)⁻¹ - log t) * (t * log t ^ 2)⁻¹ ∂MeasureTheory.volume +
                          1 -
                        log (log 2)))⁻¹ *
                  (-s + 1)⁻¹ +
              (-s + 1)⁻¹ =
            0
      [_] s * (-s + 1)⁻¹ + -1 * (-s + 1)⁻¹ + 1 = 0
      [_] 1 ^ (-s + 1) + -1 = 0
[grind] Diagnostics
  [thm] E-Matching instances
    [thm] extra_0 ↦ 1
    [thm] extra_1 ↦ 1
    [thm] one_rpow ↦ 1
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1799:24: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [isBigO_iff, norm_eq_abs, one_mem, CStarRing.norm_of_mem_unitary, mul_one,
        eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1950:77: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [one_div, isBigO_iff, norm_eq_abs, norm_inv, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1987:24: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [isBigO_iff, norm_eq_abs, one_mem, CStarRing.norm_of_mem_unitary, mul_one,
        eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:2249:58: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [isBigO_iff, norm_eq_abs, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:2267:77: This simp argument is unused:
  ge_iff_le

Hint: Omit it from the simp argument list.
  simp only [EventuallyEq.iff_eventually, Pi.div_apply, eventually_atTop,̵ ̵g̵e̵_̵i̵f̵f̵_̵l̵e̵]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
error: Lean exited with code 1
✔ [3979/3984] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Pow.Deriv:blueprint (2.1s)
✔ [3981/3987] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.EulerMascheroniBounds:blueprint (9.6s)
✔ [4043/4064] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.FioriKadiriSwidinsky.FioriKadiriSwidinsky_tables:blueprint (2.9s)
⚠ [4052/4067] Replayed LeanCert.Examples.Li2Bounds
warning: LeanCert/Examples/Li2Bounds.lean:40:8: declaration uses `sorry`
warning: LeanCert/Examples/Li2Bounds.lean:48:8: declaration uses `sorry`
✔ [4054/4067] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.LnFactorialSeries:blueprint (2.1s)
✔ [4056/4068] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.PVIdentity:blueprint (2.7s)
✔ [4063/4070] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.Li2Bounds:blueprint (11s)
✔ [4064/4070] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.LiSeries:blueprint (3.6s)
✔ [4204/4217] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.RosserSchoenfeld.RosserSchoenfeldPrime_tables:blueprint (2.5s)
✔ [4206/4217] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.BKLNW.BKLNW_app_tables:blueprint (7.3s)
✔ [4210/4272] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.BKLNW.BKLNW_tables:blueprint (8.2s)
✔ [4283/4294] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.eSHP.eSHP_tables:blueprint (4.1s)
⚠ [4284/4294] Replayed PrimeNumberTheoremAnd.IEANTN.eSHP.eSHP
warning: PrimeNumberTheoremAnd/IEANTN/eSHP/eSHP.lean:85:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/eSHP/eSHP.lean:129:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/eSHP/eSHP.lean:304:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/eSHP/eSHP.lean:449:8: declaration uses `sorry`
✔ [4288/4301] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.eSHP.eSHP:blueprint (3.7s)
⚠ [4292/4301] Replayed PrimeNumberTheoremAnd.IEANTN.Erdos392
warning: PrimeNumberTheoremAnd/IEANTN/Erdos392.lean:3160:6: 'change ((pairProd f.a.toList).length : ℝ) ≤ _' tactic does nothing

Note: This linter can be disabled with `set_option linter.unusedTactic false`
✔ [4294/4301] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.Erdos392:blueprint (21s)
ℹ [4296/4301] Replayed PrimeNumberTheoremAnd.IEANTN.Ramanujan.RamanujanCalculations
info: PrimeNumberTheoremAnd/IEANTN/Ramanujan/RamanujanCalculations.lean:76:4: Try this:
  [apply] ring_nf
  
  The `ring` tactic failed to close the goal. Use `ring_nf` to obtain a normal form.
    
  Note that `ring` works primarily in *commutative* rings. If you have a noncommutative ring, abelian group or module, consider using `noncomm_ring`, `abel` or `module` instead.
✔ [4299/4306] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.Ramanujan.RamanujanCalculations:blueprint (8.4s)
✔ [4348/4353] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Tactic.Simprocs:blueprint (1.2s)
⚠ [4363/4384] Replayed PrimeNumberTheoremAnd.IEANTN.KadiriZeroCounting
warning: PrimeNumberTheoremAnd/IEANTN/KadiriZeroCounting.lean:2061:6: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
✔ [4365/4384] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.KadiriZeroCounting:blueprint (5.3s)
✖ [4370/4384] Building PrimeNumberTheoremAnd.IEANTN.KadiriEq12Helpers (9.8s)
trace: .> LEAN_PATH=/apx/source/.lake/packages/Cli/.lake/build/lib/lean:/apx/source/.lake/packages/batteries/.lake/build/lib/lean:/apx/source/.lake/packages/Qq/.lake/build/lib/lean:/apx/source/.lake/packages/aesop/.lake/build/lib/lean:/apx/source/.lake/packages/proofwidgets/.lake/build/lib/lean:/apx/source/.lake/packages/importGraph/.lake/build/lib/lean:/apx/source/.lake/packages/LeanSearchClient/.lake/build/lib/lean:/apx/source/.lake/packages/plausible/.lake/build/lib/lean:/apx/source/.lake/packages/LeanArchitect/.lake/build/lib/lean:/apx/source/.lake/packages/checkdecls/.lake/build/lib/lean:/apx/source/.lake/packages/leancert/.lake/build/lib/lean:/apx/source/.lake/packages/PrimeCert/.lake/build/lib/lean:/apx/source/.lake/packages/mathlib/.lake/build/lib/lean:/apx/source/.lake/build/lib/lean /apx/elan/toolchains/leanprover--lean4---v4.31.0/bin/lean /apx/source/PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.lean -o /apx/source/.lake/build/lib/lean/PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.olean -i /apx/source/.lake/build/lib/lean/PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.ilean -c /apx/source/.lake/build/ir/PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.c --setup /apx/source/.lake/build/ir/PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.setup.json --json
error: PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.lean:39:4: Type mismatch: After simplification, term
  HasDerivAt.comp z₀ (hasDerivAt_zpow n (z₀ - x) (Or.inl hz₀x)) (HasDerivAt.sub_const x (hasDerivAt_id z₀))
 has type
  @HasDerivAt ℂ DenselyNormedField.toNontriviallyNormedField ℂ NormedField.toNormedCommRing.toAddCommGroup
    (NormedAlgebra.toNormedSpace ℂ).toModule PseudoMetricSpace.toUniformSpace.toTopologicalSpace ⋯
    ((fun x ↦ x ^ n) ∘ fun x_1 ↦ x_1 - x) (↑n * (z₀ - x) ^ (n - 1)) z₀
but is expected to have type
  @HasDerivAt ℂ DenselyNormedField.toNontriviallyNormedField ℂ addCommGroup Semiring.toModule
    PseudoMetricSpace.toUniformSpace.toTopologicalSpace ⋯ (fun z ↦ (z - x) ^ n) (↑n * (z₀ - x) ^ (n - 1)) z₀
error: PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.lean:223:63: unsolved goals
case e'_2
φ : ℝ → ℂ
b σ : ℝ
hφ : Continuous φ
hφ_decay : (fun x ↦ φ x * cexp (↑x / 2)) =O[cocompact ℝ] fun x ↦ Real.exp (-(1 / 2 + b) * |x|)
hσ_top : -(1 + b) < σ
hσ_bot : σ < b
h_loc : LocallyIntegrable (fun y ↦ φ y * cexp (-↑σ * ↑y)) volume
hbig_top : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atTop] fun y ↦ Real.exp (-(1 + b + σ) * y)
hbig_bot : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atBot] fun y ↦ Real.exp ((b - σ) * y)
hint_top : IntegrableAtFilter (fun y ↦ Real.exp (-(1 + b + σ) * y)) atTop volume
hα : 0 < b - σ
h_top : IntegrableAtFilter (fun y ↦ Real.exp (-((b - σ) * y))) atTop volume
⊢ Measure.comap Neg.neg volume = Measure.comap Neg.neg ?m.1187

case e'_3
φ : ℝ → ℂ
b σ : ℝ
hφ : Continuous φ
hφ_decay : (fun x ↦ φ x * cexp (↑x / 2)) =O[cocompact ℝ] fun x ↦ Real.exp (-(1 / 2 + b) * |x|)
hσ_top : -(1 + b) < σ
hσ_bot : σ < b
h_loc : LocallyIntegrable (fun y ↦ φ y * cexp (-↑σ * ↑y)) volume
hbig_top : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atTop] fun y ↦ Real.exp (-(1 + b + σ) * y)
hbig_bot : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atBot] fun y ↦ Real.exp ((b - σ) * y)
hint_top : IntegrableAtFilter (fun y ↦ Real.exp (-(1 + b + σ) * y)) atTop volume
hα : 0 < b - σ
h_top : IntegrableAtFilter (fun y ↦ Real.exp (-((b - σ) * y))) atTop volume
⊢ volume = Measure.map ⇑(MeasurableEquiv.neg ℝ).symm ?m.1187

φ : ℝ → ℂ
b σ : ℝ
hφ : Continuous φ
hφ_decay : (fun x ↦ φ x * cexp (↑x / 2)) =O[cocompact ℝ] fun x ↦ Real.exp (-(1 / 2 + b) * |x|)
hσ_top : -(1 + b) < σ
hσ_bot : σ < b
h_loc : LocallyIntegrable (fun y ↦ φ y * cexp (-↑σ * ↑y)) volume
hbig_top : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atTop] fun y ↦ Real.exp (-(1 + b + σ) * y)
hbig_bot : (fun y ↦ φ y * cexp (-↑σ * ↑y)) =O[atBot] fun y ↦ Real.exp ((b - σ) * y)
hint_top : IntegrableAtFilter (fun y ↦ Real.exp (-(1 + b + σ) * y)) atTop volume
hα : 0 < b - σ
h_top : IntegrableAtFilter (fun y ↦ Real.exp (-((b - σ) * y))) atTop volume
⊢ Measure ℝ
error: PrimeNumberTheoremAnd/IEANTN/KadiriEq12Helpers.lean:312:24: `ring_nf` made no progress on the goal
error: Lean exited with code 1
✔ [4371/4452] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.PrimeTables:blueprint (2.4s)
✔ [4376/4452] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.AbsMax:blueprint (4.1s)
✔ [4389/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.HadamardLogDerivative:blueprint (4.4s)
✔ [4400/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanProductBound:blueprint (1.9s)
✔ [4401/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.BorelCaratheodory:blueprint (2.4s)
✔ [4403/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Calculus.Deriv.Polynomial:blueprint (2.0s)
✔ [4404/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.ZetaFunctionalEquation:blueprint (2.0s)
✔ [4406/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.Basic:blueprint (1.8s)
✔ [4407/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.Trigonometric:blueprint (1.6s)
✔ [4408/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Gamma.IntegralBounds:blueprint (2.3s)
✔ [4409/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.GammaBounds:blueprint (2.5s)
✔ [4410/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Gamma.GammaStirlingAux:blueprint (2.3s)
✔ [4412/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Pow.Real:blueprint (1.0s)
✔ [4413/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZeta:blueprint (4.5s)
✔ [4414/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.Convex:blueprint (1.8s)
✔ [4415/4481] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.MeasureTheory.Integral.IntegrableOn:blueprint (2.2s)
✔ [4420/4491] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Algebra.Order.Floor.Ring:blueprint (1.5s)
✔ [4421/4491] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.MeasureTheory.Integral.IntervalIntegral.Basic:blueprint (2.2s)
✔ [4422/4491] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.AbelSummation:blueprint (2.4s)
⚠ [4428/4491] Replayed PrimeNumberTheoremAnd.IwaniecKowalskiCh1
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:74:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:91:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:298:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:638:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:680:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:718:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:986:3: error: doc-strings should start with a single space or newline

Note: This linter can be disabled with `set_option linter.style.docString false`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1259:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1429:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1444:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1456:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1474:6: declaration uses `sorry`
✔ [4435/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.ExpPoly:blueprint (2.7s)
✔ [4437/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.CompletedXi:blueprint (2.5s)
✔ [4438/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Gamma.StripBounds:blueprint (2.4s)
✔ [4439/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.ImproperIntegrals:blueprint (2.3s)
✔ [4442/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Gamma.DigammaSeries:blueprint (2.4s)
✔ [4443/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Topology.MetricSpace.Cauchy:blueprint (1.4s)
⚠ [4444/4492] Replayed PrimeNumberTheoremAnd.LaplaceInversion
warning: PrimeNumberTheoremAnd/LaplaceInversion.lean:1750:4: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
warning: PrimeNumberTheoremAnd/LaplaceInversion.lean:1987:6: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
warning: PrimeNumberTheoremAnd/LaplaceInversion.lean:1992:6: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
warning: PrimeNumberTheoremAnd/LaplaceInversion.lean:2000:8: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
✔ [4445/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.Chebyshev:blueprint (2.4s)
✔ [4447/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IwaniecKowalskiCh1:blueprint (62s)
✔ [4448/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Asymptotics.Uniformly:blueprint (3.5s)
⚠ [4451/4492] Replayed PrimeNumberTheoremAnd.PerronFormula
warning: PrimeNumberTheoremAnd/PerronFormula.lean:138:22: `Set.diff_subset_diff` has been deprecated: Use `Set.sdiff_subset_sdiff` instead
warning: PrimeNumberTheoremAnd/PerronFormula.lean:660:4: The `show` tactic should only be used to indicate intermediate goal states for readability.
However, this tactic invocation changed the goal. Please use `change` instead for these purposes.

Note: This linter can be disabled with `set_option linter.style.show false`
✔ [4455/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.ExpPoly.Growth:blueprint (3.3s)
✔ [4456/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaAbelKernel:blueprint (4.6s)
✔ [4458/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaValues:blueprint (4.3s)
✔ [4459/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.LaplaceInversion:blueprint (2.5s)
✔ [4461/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CauchyIntegral:blueprint (2.3s)
✔ [4462/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.PerronFormula:blueprint (29s)
✔ [4463/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanBound:blueprint (4.1s)
✔ [4466/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaPartialSum:blueprint (3.3s)
✔ [4469/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanInverseFactorBound:blueprint (2.4s)
✔ [4470/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CartanMajorantBound:blueprint (3.1s)
✔ [4472/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaAbelContinuation:blueprint (3.3s)
✔ [4474/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.CanonicalDecomposition:blueprint (2.6s)
✔ [4475/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.HadamardFactorization.Growth:blueprint (3.3s)
✔ [4477/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaConvexity:blueprint (4.3s)
✔ [4479/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.Complex.HadamardFactorization.Order:blueprint (2.3s)
✔ [4480/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaStripBound:blueprint (2.8s)
✔ [4482/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.ZetaFiniteOrder:blueprint (3.8s)
✔ [4484/4492] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.NumberTheory.LSeries.RiemannZetaHadamard:blueprint (2.8s)
✔ [4486/4493] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.IEANTN.KadiriEq13:blueprint (12s)
Some required targets logged failures:
- PrimeNumberTheoremAnd.IEANTN.Mertens
- PrimeNumberTheoremAnd.IEANTN.KadiriEq12Helpers
error: build failed

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