Verification run
Run 5
succeeded commit
manual toolchain lean-v4-29-0 prover lean took 36m 40s · finished 6w ago
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
(no log excerpt)
Command runs
git_clone exit 0
git clone --depth 1 --branch main --single-branch https://github.com/AlexKontorovich/PrimeNumberTheoremAnd.git /var/lib/apodeixis/repos/job-42-source
Cloning into '/var/lib/apodeixis/repos/job-42-source'...
lake_cache exit 0
lake exe cache get
installing leantar 0.1.17 Fetching ProofWidgets cloud release... done! Current branch: HEAD Using cache (Azure) from origin: leanprover-community/mathlib4 Attempting to download 8232 file(s) from leanprover-community/mathlib4 cache Decompressed 8232 file(s) Already decompressed 8232 file(s)
info: PrimeCert: cloning https://github.com/b-mehta/PrimeCert
info: PrimeCert: checking out revision '2030255c7e3efb07074171879ec920b500ee0e58'
info: leancert: cloning https://github.com/alerad/leancert
info: leancert: checking out revision '6237c769e79d4cefec17f5f3c40d288a9baa01e5'
info: checkdecls: cloning https://github.com/PatrickMassot/checkdecls.git
info: checkdecls: checking out revision '3d425859e73fcfbef85b9638c2a91708ef4a22d4'
info: mathlib: cloning https://github.com/leanprover-community/mathlib4.git
info: mathlib: checking out revision '8a178386ffc0f5fef0b77738bb5449d50efeea95'
info: LeanArchitect: cloning https://github.com/hanwenzhu/LeanArchitect.git
info: LeanArchitect: checking out revision '719ea595bb100be70d0b53b01eca828862d9f860'
info: plausible: cloning https://github.com/leanprover-community/plausible
info: plausible: checking out revision '83e90935a17ca19ebe4b7893c7f7066e266f50d3'
info: LeanSearchClient: cloning https://github.com/leanprover-community/LeanSearchClient
info: LeanSearchClient: checking out revision 'c5d5b8fe6e5158def25cd28eb94e4141ad97c843'
info: importGraph: cloning https://github.com/leanprover-community/import-graph
info: importGraph: checking out revision '48d5698bc464786347c1b0d859b18f938420f060'
info: proofwidgets: cloning https://github.com/leanprover-community/ProofWidgets4
info: proofwidgets: checking out revision '3c52dee17f0cd89c1ec14de78920d1bdaa3d26b3'
info: aesop: cloning https://github.com/leanprover-community/aesop
info: aesop: checking out revision '7152850e7b216a0d409701617721b6e469d34bf6'
info: Qq: cloning https://github.com/leanprover-community/quote4
info: Qq: checking out revision '707efb56d0696634e9e965523a1bbe9ac6ce141d'
info: batteries: cloning https://github.com/leanprover-community/batteries
info: batteries: checking out revision '756e3321fd3b02a85ffda19fef789916223e578c'
info: Cli: cloning https://github.com/leanprover/lean4-cli
info: Cli: checking out revision '7802da01beb530bf051ab657443f9cd9bc3e1a29'
✔ [2/22] Built Cache.Lean (475ms)
✔ [3/22] Built Cache.Init (397ms)
✔ [4/22] Built Cache.Init:c.o (381ms)
✔ [5/22] Built Cache.Lean:c.o (338ms)
✔ [6/22] Built Cache.IO (1.5s)
✔ [7/22] Built Cache.Hashing (741ms)
✔ [8/22] Built Cache.Hashing:c.o (407ms)
✔ [9/22] Built Cache.IO:c.o (1.4s)
✔ [15/22] Built Batteries.Data.String.Basic:c.o (94ms)
✔ [16/22] Built Batteries.Data.Array.Match:c.o (228ms)
✔ [17/22] Built Batteries.Data.String.Matcher:c.o (207ms)
✔ [18/22] Built Cache.Requests (1.9s)
✔ [19/22] Built Cache.Main (882ms)
✔ [20/22] Built Cache.Main:c.o (495ms)
✔ [21/22] Built Cache.Requests:c.o (2.2s)
✔ [22/22] Built cache:exe (2.5s)
% Total % Received % Xferd Average Speed Time Time Time Current
Dload Upload Total Spent Left Speed
0 0 0 0 0 0 0 0 --:--:-- --:--:-- --:--:-- 0
0 0 0 0 0 0 0 0 --:--:-- --:--:-- --:--:-- 0
100 1119k 100 1119k 0 0 3276k 0 --:--:-- --:--:-- --:--:-- 3276k
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Downloaded: 1490 file(s) [attempted 1490/8232 = 18%, 47 KB/s], Decompressed: 1326
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Downloaded: 1576 file(s) [attempted 1576/8232 = 19%, 93 KB/s], Decompressed: 1326
Downloaded: 1624 file(s) [attempted 1624/8232 = 19%, 3299 KB/s], Decompressed: 1466
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Downloaded: 2230 file(s) [attempted 2230/8232 = 27%, 126 KB/s], Decompressed: 2021
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Downloaded: 2603 file(s) [attempted 2603/8232 = 31%, 190 KB/s], Decompressed: 2216
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Downloaded: 2805 file(s) [attempted 2805/8232 = 34%, 57 KB/s], Decompressed: 2431
Downloaded: 2842 file(s) [attempted 2842/8232 = 34%, 47 KB/s], Decompressed: 2431
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Downloaded: 3006 file(s) [attempted 3006/8232 = 36%, 443 KB/s], Decompressed: 2431
Downloaded: 3054 file(s) [attempted 3054/8232 = 37%, 1231 KB/s], Decompressed: 2705
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Downloaded: 3133 file(s) [attempted 3133/8232 = 38%, 429 KB/s], Decompressed: 2705
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Downloaded: 3260 file(s) [attempted 3260/8232 = 39%, 425 KB/s], Decompressed: 2705
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Downloaded: 4608 file(s) [attempted 4608/8232 = 55%, 291 KB/s], Decompressed: 3749
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Downloaded: 4810 file(s) [attempted 4810/8232 = 58%, 427 KB/s], Decompressed: 4211
Downloaded: 4851 file(s) [attempted 4851/8232 = 58%, 117 KB/s], Decompressed: 4211
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Downloaded: 5060 file(s) [attempted 5060/8232 = 61%, 228 KB/s], Decompressed: 4211
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Downloaded: 6391 file(s) [attempted 6391/8232 = 77%, 262 KB/s], Decompressed: 5351
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Downloaded: 7124 file(s) [attempted 7124/8232 = 86%, 130 KB/s], Decompressed: 6018
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Downloaded: 7285 file(s) [attempted 7285/8232 = 88%, 534 KB/s], Decompressed: 6018
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Downloaded: 7401 file(s) [attempted 7401/8232 = 89%, 1022 KB/s], Decompressed: 6018
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Downloaded: 7486 file(s) [attempted 7486/8232 = 90%, 21 KB/s], Decompressed: 6018
Downloaded: 7527 file(s) [attempted 7527/8232 = 91%, 252 KB/s], Decompressed: 6018
Downloaded: 7565 file(s) [attempted 7565/8232 = 91%, 153 KB/s], Decompressed: 6018
Downloaded: 7603 file(s) [attempted 7603/8232 = 92%, 235 KB/s], Decompressed: 6018
Downloaded: 7644 file(s) [attempted 7644/8232 = 92%, 277 KB/s], Decompressed: 6764
Downloaded: 7682 file(s) [attempted 7682/8232 = 93%, 425 KB/s], Decompressed: 6764
Downloaded: 7726 file(s) [attempted 7726/8232 = 93%, 304 KB/s], Decompressed: 6764
Downloaded: 7767 file(s) [attempted 7767/8232 = 94%, 284 KB/s], Decompressed: 6764
Downloaded: 7805 file(s) [attempted 7805/8232 = 94%, 189 KB/s], Decompressed: 6764
Downloaded: 7846 file(s) [attempted 7846/8232 = 95%, 125 KB/s], Decompressed: 6764
Downloaded: 7890 file(s) [attempted 7890/8232 = 95%, 821 KB/s], Decompressed: 6764
Downloaded: 7931 file(s) [attempted 7931/8232 = 96%, 182 KB/s], Decompressed: 6764
Downloaded: 7969 file(s) [attempted 7969/8232 = 96%, 94 KB/s], Decompressed: 6764
Downloaded: 8007 file(s) [attempted 8007/8232 = 97%, 272 KB/s], Decompressed: 6764
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lean_checker exit 0
lake build
✔ [2765/2811] Built Architect.Command (4.5s)
✔ [2809/2835] Built Architect.Basic (5.0s)
✔ [2812/2835] Built Architect.Tactic (1.7s)
✔ [2813/2838] Built Architect.CollectUsed (1.8s)
✔ [2816/2838] Built PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Log.Basic (3.9s)
✔ [2821/2844] Built PrimeNumberTheoremAnd.Auxiliary (9.0s)
✔ [3032/3066] Built Architect.Content (1.5s)
✔ [3054/3080] Built PrimeNumberTheoremAnd.Tactic.AdditiveCombination (3.4s)
✔ [3225/3264] Built Architect.Output (2.8s)
✔ [3275/3359] Built Architect.Attribute (2.0s)
✔ [3440/3460] Built Architect.Load (1.1s)
✔ [3443/3464] Built PrimeNumberTheoremAnd.Mathlib.Algebra.Notation.Support (1.4s)
✔ [3445/3468] Built Architect (1.4s)
✔ [3448/3468] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Asymptotics.Asymptotics (2.5s)
✔ [3449/3468] Built PrimeNumberTheoremAnd.Sobolev (15s)
✔ [3450/3468] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.Sieve.AuxResults (5.9s)
✔ [3451/3468] Built PrimeNumberTheoremAnd.SmoothExistence (5.3s)
✔ [3454/3468] Built PrimeNumberTheoremAnd.ZetaConj (5.3s)
✔ [3455/3472] Built PrimeNumberTheoremAnd.Rectangle (6.3s)
✔ [3456/3473] Built PrimeNumberTheoremAnd.Fourier (5.4s)
✔ [3459/3473] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.Sieve.Basic (7.3s)
✔ [3462/3478] Built PrimeNumberTheoremAnd.Defs (11s)
✔ [3580/3606] Built PrimeNumberTheoremAnd.ResidueCalcOnRectangles (15s)
✔ [3581/3611] Built PrimeNumberTheoremAnd.HadamardFactorization (1.5s)
✔ [3584/3612] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.Sieve.Selberg (12s)
✔ [3585/3613] Built PrimeNumberTheoremAnd.MellinCalculus (21s)
✔ [3589/3613] Built PrimeNumberTheoremAnd.HoffsteinLockhart (3.5s)
✔ [3591/3614] Built PrimeNumberTheoremAnd.GeneralMeromorphic (3.1s)
✔ [3594/3617] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.Sieve.SelbergBounds (5.5s)
✔ [3597/3617] Built PrimeNumberTheoremAnd.IEANTN.ZetaDefinitions (7.8s)
⚠ [3600/3617] Built PrimeNumberTheoremAnd.IEANTN.RosserSchoenfeld.RosserSchoenfeldZeta (11s)
warning: PrimeNumberTheoremAnd/IEANTN/RosserSchoenfeld/RosserSchoenfeldZeta.lean:18:8: declaration uses `sorry`
✔ [3601/3620] Built PrimeNumberTheoremAnd.BrunTitchmarsh (14s)
✔ [3614/3635] Built PrimeNumberTheoremAnd.EulerMascheroniBounds (22s)
✔ [3655/3675] Built PrimeNumberTheoremAnd.IEANTN.KLN (6.6s)
✔ [3665/3686] Built LeanCert.Core.Interval (5.9s)
✔ [3666/3687] Built LeanCert.Core.Expr (13s)
✔ [3667/3687] Built LeanCert.Core.Support (8.1s)
✔ [3668/3687] Built LeanCert.Core.IntervalRat.Basic (20s)
✔ [3669/3688] Built LeanCert.Meta.Numeral (6.0s)
✔ [3670/3688] Built LeanCert.Core.IntervalRat.Transcendental (9.9s)
✔ [3671/3688] Built LeanCert.Tactic.IntervalAuto.Types (6.7s)
✔ [3672/3688] Built LeanCert.Tactic.IntervalAuto.Extract (5.9s)
✔ [3673/3689] Built PrimeNumberTheoremAnd.ZetaBounds (67s)
✔ [3674/3693] Built LeanCert.Meta.ToExpr (7.5s)
✔ [3675/3693] Built LeanCert.Core.IntervalRat.LogReduction (8.0s)
✔ [3676/3694] Built LeanCert.Tactic.IntervalAuto.Norm (6.9s)
✔ [3678/3694] Built LeanCert.Tactic.IntervalAuto.Parse (13s)
✔ [3679/3697] Built LeanCert.Core.DerivativeIntervals (11s)
✔ [3680/3697] Built LeanCert.Tactic.IntervalAuto.Diagnostic (7.9s)
⚠ [3681/3699] Built PrimeNumberTheoremAnd.Wiener (91s)
warning: PrimeNumberTheoremAnd/Wiener.lean:322:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/Wiener.lean:341:8: declaration uses `sorry`
✔ [3682/3699] Built LeanCert.Core.Taylor (16s)
✔ [3683/3700] Built LeanCert.Core.IntervalRat.Taylor (40s)
✔ [3684/3700] Built LeanCert.Core.IntervalRat.TrigReduced (17s)
✔ [3685/3702] Built LeanCert.Core.IntervalReal (7.1s)
✔ [3686/3703] Built LeanCert.Core.IntervalRealEndpoints (12s)
✔ [3687/3705] Built LeanCert.Engine.Eval.Core (14s)
ℹ [3688/3710] Built PrimeNumberTheoremAnd.MediumPNT (142s)
info: PrimeNumberTheoremAnd/MediumPNT.lean:4286:0: 'MediumPNT' depends on axioms: [propext, Classical.choice, Quot.sound]
✔ [3689/3710] Built LeanCert.Engine.Eval.Extended (6.3s)
✔ [3690/3710] Built LeanCert.Contrib.Sinc (6.9s)
✔ [3691/3719] Built PrimeNumberTheoremAnd.Consequences (110s)
⚠ [3702/3732] Built PrimeNumberTheoremAnd.IEANTN.ZetaAppendix (154s)
warning: PrimeNumberTheoremAnd/IEANTN/ZetaAppendix.lean:2024:8: declaration uses `sorry`
✔ [3703/3732] Built LeanCert.Tactic.Bound.Lemmas (3.0s)
✔ [3704/3737] Built LeanCert.Core.Dyadic (3.0s)
⚠ [3705/3740] Built PrimeNumberTheoremAnd.IEANTN.ZetaSummary (4.0s)
warning: PrimeNumberTheoremAnd/IEANTN/ZetaSummary.lean:35:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/ZetaSummary.lean:48:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/ZetaSummary.lean:58:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/ZetaSummary.lean:68:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/ZetaSummary.lean:78:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/ZetaSummary.lean:88:8: declaration uses `sorry`
✔ [3706/3740] Built LeanCert.Engine.IntervalEval (3.2s)
✔ [3707/3740] Built PrimeNumberTheoremAnd.IEANTN.PrimaryDefinitions (7.8s)
✔ [3708/3741] Built LeanCert.Engine.Affine.Basic (10s)
✔ [3709/3741] Built LeanCert.Engine.Optimization.Box (5.7s)
✔ [3710/3742] Built LeanCert.Core.IntervalDyadic (14s)
✔ [3711/3742] Built LeanCert.Engine.AD.Basic (6.3s)
✔ [3712/3743] Built LeanCert.Engine.RootFinding.Basic (8.5s)
✔ [3713/3744] Built LeanCert.Engine.TaylorModel.Core (14s)
✔ [3714/3744] Built LeanCert.Engine.Affine.Nonlinear (7.2s)
✔ [3715/3746] Built LeanCert.Engine.IntervalEvalDyadic (6.0s)
✔ [3716/3746] Built LeanCert.Engine.AD.Transcendental (5.4s)
⚠ [3717/3746] Built PrimeNumberTheoremAnd.StrongPNT (35s)
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1477:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1526:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1643:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1788:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:2183:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:2273:6: declaration uses `sorry`
✔ [3718/3746] Built LeanCert.Engine.TaylorModel.Special (3.2s)
✔ [3719/3747] Built LeanCert.Engine.RootFinding.Bisection (4.9s)
✔ [3720/3747] Built LeanCert.Engine.TaylorModel.ExpLog (12s)
✔ [3721/3749] Built LeanCert.Engine.Affine.Transcendental (9.8s)
✔ [3722/3749] Built LeanCert.Engine.TaylorModel.Trig (13s)
✔ [3723/3752] Built LeanCert.Engine.AD.Eval (3.3s)
✔ [3724/3752] Built LeanCert.Engine.TaylorModel.Hyperbolic (15s)
✔ [3725/3752] Built LeanCert.Engine.TaylorModel.Functions (2.8s)
✔ [3726/3753] Built PrimeNumberTheoremAnd.BorelCaratheodory (7.0s)
✔ [3727/3754] Built LeanCert.Engine.IntervalEvalAffine (4.4s)
✔ [3728/3754] Built LeanCert.Validity.DyadicBounds (3.5s)
✔ [3729/3771] Built LeanCert.Engine.Integrate (7.3s)
✔ [3730/3771] Built LeanCert.Engine.AD.Correctness (4.2s)
⚠ [3732/3771] Built PrimeNumberTheoremAnd.DerivativeBound (4.2s)
warning: PrimeNumberTheoremAnd/DerivativeBound.lean:52:8: declaration uses `sorry`
✔ [3733/3772] Built LeanCert.Engine.TaylorModel.Expr (6.3s)
✔ [3734/3773] Built LeanCert.Engine.AD.Computable (6.3s)
✔ [3735/3773] Built LeanCert.Engine.TaylorModel.Log1p (10s)
✔ [3736/3774] Built LeanCert.Engine.AD.PartialCorrectness (8.0s)
✔ [3739/3774] Built LeanCert.Engine.TaylorModel (2.6s)
✔ [3740/3782] Built PrimeNumberTheoremAnd.IEANTN.LnFactorialSeries (12s)
✔ [3856/3900] Built LeanCert.Engine.AD (3.4s)
⚠ [3857/3900] Built LeanCert.Examples.Li2Bounds (4.9s)
warning: LeanCert/Examples/Li2Bounds.lean:250:8: declaration uses `sorry`
warning: LeanCert/Examples/Li2Bounds.lean:255:8: declaration uses `sorry`
✔ [3858/3901] Built PrimeNumberTheoremAnd.IEANTN.RosserSchoenfeld.RosserSchoenfeldPrime_tables (4.1s)
✔ [3859/3901] Built LeanCert.Tactic.VecUtil (3.6s)
✔ [3860/3901] Built LeanCert.Engine.IntervalEvalRefined (6.4s)
✔ [3861/3901] Built LeanCert.Meta.ProveSupported (7.9s)
✔ [3862/3903] Built PrimeNumberTheoremAnd.IEANTN.Li2Bounds (5.5s)
✔ [3864/3903] Built LeanCert.Engine.Optimize (8.0s)
✔ [3865/3904] Built LeanCert.Tactic.FinSumExpand (2.5s)
✔ [3866/3907] Built PrimeNumberTheoremAnd.IEANTN.BKLNW.BKLNW_app_tables (23s)
✔ [3868/3907] Built LeanCert.Meta.ProveContinuous (3.9s)
✔ [3869/3907] Built LeanCert.Tactic.IntervalAuto.ProveCommon (5.6s)
✔ [3873/3914] Built LeanCert.Engine.Optimization.Gradient (5.5s)
✔ [3874/3914] Built PrimeNumberTheoremAnd.IEANTN.PVIdentity (34s)
✔ [3875/3914] Built LeanCert.Engine.RootFinding.Newton (5.7s)
✔ [3876/3914] Built LeanCert.Tactic.IntervalAuto.Basic (2.8s)
✔ [3877/3916] Built PrimeNumberTheoremAnd.IEANTN.eSHP.eSHP_tables (3.7s)
✔ [3878/3916] Built LeanCert.Engine.Chebyshev.Psi (4.0s)
✔ [3879/3921] Built LeanCert.Engine.RootFinding.MVTBounds (15s)
✔ [3880/3921] Built LeanCert.Engine.Optimization.Global (33s)
✔ [3881/3921] Built PrimeNumberTheoremAnd.IEANTN.LiSeries (29s)
✔ [3883/3921] Built LeanCert.Engine.ChebyshevPsi (4.8s)
✔ [3885/3922] Built PrimeNumberTheoremAnd.Tactic.Simprocs (3.4s)
✔ [3887/3923] Built LeanCert.Engine.RootFinding.Contraction (9.0s)
✔ [3889/3924] Built LeanCert.Engine.Optimization.BoundVerify (6.8s)
✔ [3890/3924] Built PrimeCert.Interval (6.3s)
✔ [3891/3924] Built PrimeCert.Meta.PrimeCert (3.7s)
✔ [3892/3925] Built LeanCert.Engine.RootFinding.Main (4.4s)
✔ [3893/3926] Built PrimeCert.Meta.SmallPrime (2.0s)
✔ [3894/3927] Built PrimeCert.PredMod (539ms)
✔ [3895/3931] Built PrimeCert.PowMod (4.1s)
✔ [3898/3938] Built LeanCert.Validity.Bounds (15s)
⚠ [3899/3938] Built PrimeCert.Pocklington (9.1s)
warning: PrimeCert/Pocklington.lean:60:22: `Nat.factorization_prod_pow_eq_self` has been deprecated: Use `Nat.prod_factorization_pow_eq_self` instead
✔ [3900/3938] Built LeanCert.Tactic.IntervalAuto.Multivariate (8.4s)
✔ [3901/3938] Built LeanCert.Tactic.IntervalAuto.OptBound (5.3s)
⚠ [3902/3938] Built PrimeNumberTheoremAnd.IEANTN.eSHP.eSHP (63s)
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`
warning: PrimeNumberTheoremAnd/IEANTN/eSHP/eSHP.lean:464:8: declaration uses `sorry`
✔ [3903/3938] Built LeanCert.Tactic.IntervalAuto.RootBound (4.9s)
✔ [3904/3938] Built PrimeCert.Wieferich (5.6s)
✔ [3905/3948] Built PrimeCert.SmallPrimes (4.8s)
✔ [3907/3948] Built PrimeNumberTheoremAnd.Mathlib.NumberTheory.Chebyshev (10s)
⚠ [3912/3960] Built PrimeCert.Pocklington3 (14s)
warning: PrimeCert/Pocklington3.lean:39:8: `Nat.factorization_prod_pow_eq_self` has been deprecated: Use `Nat.prod_factorization_pow_eq_self` instead
✔ [3914/3960] Built LeanCert.Tactic.IntervalAuto.Bound (47s)
⚠ [3915/3960] Built PrimeNumberTheoremAnd.IEANTN.CH2.CH2_part1 (133s)
info: PrimeNumberTheoremAnd/IEANTN/CH2/CH2_part1.lean:357:15: 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.
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2_part1.lean:1737:8: declaration uses `sorry`
⚠ [3916/3960] Built PrimeNumberTheoremAnd.IEANTN.Mertens (29s)
info: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:263:0: ArithmeticFunction.vonMangoldt_sum {n : ℕ} : ∑ i ∈ n.divisors, Λ i = log ↑n
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:488:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:853:16: declaration uses `sorry`
info: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:857:0: Real.eulerMascheroniConstant_eq_neg_deriv : eulerMascheroniConstant = -deriv Gamma 1
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:867:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1237:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1270:8: declaration uses `sorry`
✔ [3917/3960] Built LeanCert.Engine.Chebyshev.Theta (16s)
✔ [3919/3960] Built PrimeNumberTheoremAnd.Mathlib.Analysis.Asymptotics.Uniformly (3.6s)
✔ [3920/3960] Built PrimeCert (3.8s)
✔ [3921/3960] Built PrimeNumberTheoremAnd.IEANTN.MobiusLemma (34s)
⚠ [3922/3960] Built PrimeNumberTheoremAnd.IwaniecKowalskiCh1 (7.5s)
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:73:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:90:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:297:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:637:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:679:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:717:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:739:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:763:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:814:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:984:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:999:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1011:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1029:6: declaration uses `sorry`
✔ [3923/3960] Built LeanCert.Tactic.IntervalAuto.Subdiv (10s)
⚠ [3924/3960] Built PrimeNumberTheoremAnd.IEANTN.CH2.CH2 (8.4s)
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:513:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:542:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:572:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:603:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:632:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:662:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:692:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:712:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:768:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:834:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:869:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:899:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:1023:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:1037:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:1051:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:1063:8: declaration uses `sorry`
✔ [3925/3960] Built LeanCert.Tactic.IntervalAuto.Adaptive (9.9s)
✔ [3927/3960] Built LeanCert.Engine.ChebyshevTheta (2.6s)
✔ [3928/3960] Built LeanCert.Tactic.IntervalAuto.PointIneq (20s)
✔ [3929/3960] Built PrimeNumberTheoremAnd.IEANTN.PrimeTables (11s)
✔ [3930/3960] Built PrimeNumberTheoremAnd.PerronFormula (12s)
✔ [3931/3960] Built LeanCert.Tactic.IntervalAuto (4.2s)
⚠ [3932/3960] Built PrimeNumberTheoremAnd.IEANTN.Kadiri (11s)
warning: PrimeNumberTheoremAnd/IEANTN/Kadiri.lean:85:18: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Kadiri.lean:103:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Kadiri.lean:135:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Kadiri.lean:174:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Kadiri.lean:201:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Kadiri.lean:219:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Kadiri.lean:252:8: declaration uses `sorry`
✔ [3933/3960] Built PrimeNumberTheoremAnd.IEANTN.LogTables (13s)
✔ [3934/3960] Built PrimeNumberTheoremAnd.IEANTN.SecondaryDefinitions (15s)
ℹ [3935/3960] Built PrimeNumberTheoremAnd.IEANTN.Ramanujan.RamanujanCalculations (44s)
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.
info: PrimeNumberTheoremAnd/IEANTN/Ramanujan/RamanujanCalculations.lean:88:4: 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.
⚠ [3936/3960] Built LeanCert.Examples.BKLNW_a2_pow2 (50s)
warning: LeanCert/Examples/BKLNW_a2_pow2.lean:105:8: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_pow2.lean:109:8: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_pow2.lean:113:8: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_pow2.lean:117:8: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_pow2.lean:121:8: declaration uses `sorry`
✔ [3937/3960] Built PrimeNumberTheoremAnd.IEANTN.FioriKadiriSwidinsky.FioriKadiriSwidinsky_tables (6.3s)
✔ [3938/3960] Built PrimeNumberTheoremAnd.IEANTN.PrimeInInterval (11s)
⚠ [3939/3960] Built PrimeNumberTheoremAnd.IEANTN.Buthe (31s)
warning: PrimeNumberTheoremAnd/IEANTN/Buthe.lean:31:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Buthe.lean:41:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Buthe.lean:51:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Buthe.lean:61:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Buthe.lean:73:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Buthe.lean:83:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Buthe.lean:131:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Buthe.lean:142:8: declaration uses `sorry`
✔ [3940/3960] Built PrimeNumberTheoremAnd.IEANTN.Chebyshev (45s)
✔ [3941/3960] Built PrimeNumberTheoremAnd.IEANTN.CostaPereira (26s)
⚠ [3942/3960] Built PrimeNumberTheoremAnd.IEANTN.RosserSchoenfeld.RosserSchoenfeldPrime (33s)
warning: PrimeNumberTheoremAnd/IEANTN/RosserSchoenfeld/RosserSchoenfeldPrime.lean:1008:8: declaration uses `sorry`
⚠ [3943/3960] Built LeanCert.Examples.BKLNW_a2_bounds (6.8s)
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:136:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:138:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:142:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:144:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:148:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:150:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:154:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:156:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:160:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:162:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:166:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:168:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:172:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:174:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:178:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:180:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:184:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:186:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:190:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:192:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:196:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:198:6: declaration uses `sorry`
⚠ [3944/3960] Built PrimeNumberTheoremAnd.IEANTN.FioriKadiriSwidinsky.FioriKadiriSwidinsky (7.6s)
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:45:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:112:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:148:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:152:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:164:18: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:176:18: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:217:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:227:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:256:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:353:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:367:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:382:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:401:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:407:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:417:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:463:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:472:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:487:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:528:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:554:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:582:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:633:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:646:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:658:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:702:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:712:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:725:8: declaration uses `sorry`
✔ [3945/3960] Built PrimeNumberTheoremAnd.IEANTN.Erdos392 (122s)
✔ [3946/3960] Built PrimeNumberTheoremAnd.IEANTN.PrimarySummary (2.6s)
⚠ [3947/3960] Built PrimeNumberTheoremAnd.IEANTN.BKLNW.BKLNW_app (5.3s)
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW_app.lean:47:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW_app.lean:130:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW_app.lean:168:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW_app.lean:278:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW_app.lean:398:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW_app.lean:668:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW_app.lean:721:8: declaration uses `sorry`
✔ [3948/3960] Built PrimeNumberTheoremAnd.IEANTN.BKLNW.BKLNW_tables (173s)
⚠ [3949/3960] Built PrimeNumberTheoremAnd.IEANTN.BKLNW.BKLNW (30s)
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW.lean:1356:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW.lean:1485:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW.lean:2151:8: declaration uses `sorry`
✔ [3950/3960] Built PrimeNumberTheoremAnd.IEANTN.BKLNW.BKLNW_a2_bounds (9.5s)
⚠ [3951/3960] Built PrimeNumberTheoremAnd.IEANTN.Dusart (29s)
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:72:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:88:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:147:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:170:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:280:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:292:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:304:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:316:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:327:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:338:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:349:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:360:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:372:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:383:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:394:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:405:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:416:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:626:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:686:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:698:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:711:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:722:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:734:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:742:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:753:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:765:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:777:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:789:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:801:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:813:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:825:8: declaration uses `sorry`
✔ [3952/3960] Built PrimeNumberTheoremAnd.IEANTN.RosserSchoenfeld.RSPrimeLower (15s)
⚠ [3953/3960] Built PrimeNumberTheoremAnd.IEANTN.TMEEMT (24s)
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:51:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:62:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:73:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:84:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:100:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:108:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:133:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:141:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:149:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:287:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:295:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:424:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:469:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:484:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:518:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:527:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:536:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:545:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:554:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:570:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:579:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:588:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:597:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:632:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:641:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:650:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:676:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:699:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:710:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:721:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:732:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:742:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:750:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:759:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:768:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:891:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:911:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:941:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:967:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:981:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:989:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1004:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1019:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1028:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1043:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1061:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1073:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1090:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1101:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1123:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1137:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1151:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1181:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1197:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1208:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1232:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1246:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1260:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1274:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1288:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1323:8: declaration uses `sorry`
⚠ [3954/3960] Built PrimeNumberTheoremAnd.IEANTN.FKS2 (71s)
warning: PrimeNumberTheoremAnd/IEANTN/FKS2.lean:3621:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FKS2.lean:4064:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FKS2.lean:4086:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FKS2.lean:4113:8: declaration uses `sorry`
⚠ [3955/3960] Built PrimeNumberTheoremAnd.IEANTN.SecondarySummary (10s)
warning: PrimeNumberTheoremAnd/IEANTN/SecondarySummary.lean:60:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/SecondarySummary.lean:203:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/SecondarySummary.lean:213:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/SecondarySummary.lean:227:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/SecondarySummary.lean:242:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/SecondarySummary.lean:255:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/SecondarySummary.lean:337:8: declaration uses `sorry`
⚠ [3956/3960] Built PrimeNumberTheoremAnd.IEANTN.Goldbach (15s)
warning: PrimeNumberTheoremAnd/IEANTN/Goldbach.lean:155:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Goldbach.lean:182:8: declaration uses `sorry`
✔ [3957/3960] Built PrimeNumberTheoremAnd.IEANTN.Lcm (43s)
✔ [3958/3960] Built PrimeNumberTheoremAnd.IEANTN.Ramanujan.Ramanujan (74s)
✔ [3959/3960] Built PrimeNumberTheoremAnd (2.8s)
Build completed successfully (3960 jobs).
blueprint_build exit 0
lake build :blueprint
✔ [11/35] Built Architect.Command:c.o (408ms)
✔ [12/35] Built Architect.Content:c.o (180ms)
✔ [13/35] Built Batteries.Lean.NameMapAttribute:c.o (648ms)
✔ [14/35] Built Architect.Basic:c.o (784ms)
✔ [15/35] Built Architect.CollectUsed:c.o (142ms)
✔ [17/35] Built Architect.Tactic:c.o (374ms)
✔ [23/35] Built Architect.Load:c.o (136ms)
✔ [25/35] Built Architect:c.o (96ms)
✔ [27/35] Built Architect.Attribute:c.o (950ms)
✔ [28/35] Built Cli:c.o (52ms)
✔ [29/43] Built Cli.Extensions:c.o (627ms)
✔ [276/381] Built Architect.Output:c.o (1.9s)
✔ [463/563] Built Main (1.1s)
✔ [762/908] Built Main:c.o (262ms)
ℹ [3456/3666] Replayed PrimeNumberTheoremAnd.MediumPNT
info: PrimeNumberTheoremAnd/MediumPNT.lean:4286:0: 'MediumPNT' depends on axioms: [propext, Classical.choice, Quot.sound]
⚠ [3474/3666] Replayed PrimeNumberTheoremAnd.StrongPNT
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1477:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1526:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1643:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:1788:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:2183:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/StrongPNT.lean:2273:6: declaration uses `sorry`
⚠ [3604/3666] Replayed PrimeNumberTheoremAnd.DerivativeBound
warning: PrimeNumberTheoremAnd/DerivativeBound.lean:52:8: declaration uses `sorry`
⚠ [3627/3877] Replayed PrimeNumberTheoremAnd.Wiener
warning: PrimeNumberTheoremAnd/Wiener.lean:322:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/Wiener.lean:341:8: declaration uses `sorry`
⚠ [3630/3877] Replayed PrimeNumberTheoremAnd.IEANTN.RosserSchoenfeld.RosserSchoenfeldZeta
warning: PrimeNumberTheoremAnd/IEANTN/RosserSchoenfeld/RosserSchoenfeldZeta.lean:18:8: declaration uses `sorry`
⚠ [3686/3877] Replayed PrimeNumberTheoremAnd.IEANTN.ZetaAppendix
warning: PrimeNumberTheoremAnd/IEANTN/ZetaAppendix.lean:2024:8: declaration uses `sorry`
⚠ [3687/3877] Replayed PrimeNumberTheoremAnd.IEANTN.ZetaSummary
warning: PrimeNumberTheoremAnd/IEANTN/ZetaSummary.lean:35:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/ZetaSummary.lean:48:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/ZetaSummary.lean:58:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/ZetaSummary.lean:68:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/ZetaSummary.lean:78:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/ZetaSummary.lean:88:8: declaration uses `sorry`
⚠ [3780/3877] Replayed PrimeNumberTheoremAnd.IEANTN.FioriKadiriSwidinsky.FioriKadiriSwidinsky
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:45:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:112:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:148:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:152:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:164:18: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:176:18: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:217:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:227:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:256:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:353:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:367:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:382:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:401:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:407:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:417:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:463:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:472:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:487:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:528:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:554:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:582:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:633:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:646:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:658:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:702:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:712:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FioriKadiriSwidinsky/FioriKadiriSwidinsky.lean:725:8: declaration uses `sorry`
⚠ [3782/3877] Replayed LeanCert.Examples.Li2Bounds
warning: LeanCert/Examples/Li2Bounds.lean:250:8: declaration uses `sorry`
warning: LeanCert/Examples/Li2Bounds.lean:255:8: declaration uses `sorry`
⚠ [3908/4060] Replayed PrimeNumberTheoremAnd.IEANTN.RosserSchoenfeld.RosserSchoenfeldPrime
warning: PrimeNumberTheoremAnd/IEANTN/RosserSchoenfeld/RosserSchoenfeldPrime.lean:1008:8: declaration uses `sorry`
⚠ [3910/4060] Replayed PrimeNumberTheoremAnd.IEANTN.Buthe
warning: PrimeNumberTheoremAnd/IEANTN/Buthe.lean:31:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Buthe.lean:41:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Buthe.lean:51:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Buthe.lean:61:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Buthe.lean:73:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Buthe.lean:83:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Buthe.lean:131:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Buthe.lean:142:8: declaration uses `sorry`
⚠ [3911/4060] Replayed PrimeNumberTheoremAnd.IEANTN.BKLNW.BKLNW_app
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW_app.lean:47:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW_app.lean:130:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW_app.lean:168:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW_app.lean:278:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW_app.lean:398:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW_app.lean:668:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW_app.lean:721:8: declaration uses `sorry`
⚠ [3913/4060] Replayed PrimeNumberTheoremAnd.IEANTN.BKLNW.BKLNW
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW.lean:1356:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW.lean:1485:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/BKLNW/BKLNW.lean:2151:8: declaration uses `sorry`
⚠ [3916/4060] Replayed LeanCert.Examples.BKLNW_a2_pow2
warning: LeanCert/Examples/BKLNW_a2_pow2.lean:105:8: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_pow2.lean:109:8: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_pow2.lean:113:8: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_pow2.lean:117:8: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_pow2.lean:121:8: declaration uses `sorry`
⚠ [3917/4060] Replayed LeanCert.Examples.BKLNW_a2_bounds
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:136:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:138:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:142:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:144:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:148:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:150:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:154:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:156:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:160:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:162:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:166:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:168:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:172:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:174:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:178:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:180:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:184:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:186:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:190:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:192:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:196:6: declaration uses `sorry`
warning: LeanCert/Examples/BKLNW_a2_bounds.lean:198:6: declaration uses `sorry`
⚠ [3924/4060] Replayed PrimeNumberTheoremAnd.IEANTN.CH2.CH2_part1
info: PrimeNumberTheoremAnd/IEANTN/CH2/CH2_part1.lean:357:15: 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.
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2_part1.lean:1737:8: declaration uses `sorry`
⚠ [3925/4060] Replayed PrimeNumberTheoremAnd.IEANTN.CH2.CH2
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:513:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:542:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:572:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:603:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:632:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:662:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:692:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:712:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:768:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:834:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:869:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:899:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:1023:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:1037:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:1051:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/CH2/CH2.lean:1063:8: declaration uses `sorry`
⚠ [3931/4060] 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`
warning: PrimeNumberTheoremAnd/IEANTN/eSHP/eSHP.lean:464:8: declaration uses `sorry`
⚠ [3932/4060] Replayed PrimeNumberTheoremAnd.IEANTN.Dusart
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:72:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:88:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:147:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:170:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:280:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:292:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:304:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:316:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:327:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:338:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:349:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:360:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:372:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:383:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:394:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:405:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:416:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:626:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:686:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:698:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:711:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:722:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:734:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:742:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:753:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:765:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:777:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:789:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:801:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:813:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Dusart.lean:825:8: declaration uses `sorry`
⚠ [3937/4060] Replayed PrimeNumberTheoremAnd.IEANTN.FKS2
warning: PrimeNumberTheoremAnd/IEANTN/FKS2.lean:3621:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FKS2.lean:4064:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FKS2.lean:4086:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/FKS2.lean:4113:8: declaration uses `sorry`
⚠ [3947/4060] Replayed PrimeCert.Pocklington
warning: PrimeCert/Pocklington.lean:60:22: `Nat.factorization_prod_pow_eq_self` has been deprecated: Use `Nat.prod_factorization_pow_eq_self` instead
⚠ [3948/4060] Replayed PrimeCert.Pocklington3
warning: PrimeCert/Pocklington3.lean:39:8: `Nat.factorization_prod_pow_eq_self` has been deprecated: Use `Nat.prod_factorization_pow_eq_self` instead
⚠ [3954/4060] Replayed PrimeNumberTheoremAnd.IEANTN.TMEEMT
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:51:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:62:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:73:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:84:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:100:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:108:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:133:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:141:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:149:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:287:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:295:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:424:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:469:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:484:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:518:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:527:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:536:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:545:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:554:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:570:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:579:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:588:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:597:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:632:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:641:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:650:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:676:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:699:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:710:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:721:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:732:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:742:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:750:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:759:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:768:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:891:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:911:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:941:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:967:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:981:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:989:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1004:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1019:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1028:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1043:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1061:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1073:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1090:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1101:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1123:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1137:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1151:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1181:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1197:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1208:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1232:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1246:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1260:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1274:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1288:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/TMEEMT.lean:1323:8: declaration uses `sorry`
⚠ [3955/4060] Replayed PrimeNumberTheoremAnd.IEANTN.SecondarySummary
warning: PrimeNumberTheoremAnd/IEANTN/SecondarySummary.lean:60:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/SecondarySummary.lean:203:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/SecondarySummary.lean:213:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/SecondarySummary.lean:227:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/SecondarySummary.lean:242:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/SecondarySummary.lean:255:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/SecondarySummary.lean:337:8: declaration uses `sorry`
⚠ [3956/4060] Replayed PrimeNumberTheoremAnd.IEANTN.Goldbach
warning: PrimeNumberTheoremAnd/IEANTN/Goldbach.lean:155:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Goldbach.lean:182:8: declaration uses `sorry`
⚠ [3962/4060] Replayed PrimeNumberTheoremAnd.IEANTN.Kadiri
warning: PrimeNumberTheoremAnd/IEANTN/Kadiri.lean:85:18: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Kadiri.lean:103:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Kadiri.lean:135:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Kadiri.lean:174:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Kadiri.lean:201:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Kadiri.lean:219:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Kadiri.lean:252:8: declaration uses `sorry`
⚠ [3966/4060] Replayed PrimeNumberTheoremAnd.IEANTN.Mertens
info: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:263:0: ArithmeticFunction.vonMangoldt_sum {n : ℕ} : ∑ i ∈ n.divisors, Λ i = log ↑n
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:488:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:853:16: declaration uses `sorry`
info: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:857:0: Real.eulerMascheroniConstant_eq_neg_deriv : eulerMascheroniConstant = -deriv Gamma 1
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:867:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1237:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IEANTN/Mertens.lean:1270:8: declaration uses `sorry`
ℹ [3972/4060] 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.
info: PrimeNumberTheoremAnd/IEANTN/Ramanujan/RamanujanCalculations.lean:88:4: 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.
⚠ [3974/4060] Replayed PrimeNumberTheoremAnd.IwaniecKowalskiCh1
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:73:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:90:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:297:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:637:8: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:679:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:717:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:739:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:763:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:814:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:984:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:999:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1011:6: declaration uses `sorry`
warning: PrimeNumberTheoremAnd/IwaniecKowalskiCh1.lean:1029:6: declaration uses `sorry`
✔ [3978/4060] Built Cli.Basic:c.o (4.2s)
✔ [3979/4060] Built extract_blueprint:exe (2.8s)
✔ [3980/4060] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Auxiliary:blueprint (2.4s)
✔ [3981/4060] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Sobolev:blueprint (2.9s)
✔ [3982/4060] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Fourier:blueprint (2.9s)
✔ [3983/4060] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Analysis.SpecialFunctions.Log.Basic:blueprint (2.3s)
✔ [3984/4060] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Rectangle:blueprint (2.5s)
✔ [3985/4060] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Tactic.AdditiveCombination:blueprint (1.5s)
✔ [3986/4060] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.ResidueCalcOnRectangles:blueprint (17s)
✔ [3987/4060] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.ZetaConj:blueprint (14s)
✔ [3988/4060] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.Mathlib.Algebra.Notation.Support:blueprint (1.8s)
✔ [3989/4060] Built PrimeNumberTheoremAnd/PrimeNumberTheoremAnd.SmoothExistence:blueprint (5.2s)
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info: Blueprint indexing
Build completed successfully (4061 jobs).
semantic_extract exit 0
./.apodeixis/tools/lean-semantic-extract.sh