Skip to main content
All packages

AlexKontorovich/PrimeNumberTheoremAnd

PrimeNumberTheoremAnd

Blueprint for the PNT+ Project

Therefore indexed 1,644 complete source declarations from the exact package revision. Individual authorship and independent verification remain unset.

Research project325 GitHub starsApache-2.09 indexed versionsRepositoryFull history on Reservoir

Head version

a93551347dce

a93551347dce924b1db75d40218841bf085a465f

Toolchain
leanprover/lean4:v4.32.0
Revision date
22 Jul 2026
Dependencies
13
Versions
9

External build observation

Exact head commit and toolchain

No Reservoir build observation was found for this exact commit and toolchain. This is not evidence of failure.

Pin this source in lakefile.lean

require PrimeNumberTheoremAnd from git "https://github.com/AlexKontorovich/PrimeNumberTheoremAnd.git" @ "a93551347dce924b1db75d40218841bf085a465f"

Source declarations

1,644 indexed proofs

Package history

Showing 21 to 40 of 1,644 declarations.

lemma

Set.Ico_subset_Ico_of_Icc_subset_Icc

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Consequences · PrimeNumberTheoremAnd/Consequences.lean:16

theorem

WeakPNT'

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Consequences · PrimeNumberTheoremAnd/Consequences.lean:85

theorem

WeakPNT''

An alternate form of the Weak PNT.

PrimeNumberTheoremAnd.Consequences · PrimeNumberTheoremAnd/Consequences.lean:105

theorem

chebyshev_asymptotic

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Consequences · PrimeNumberTheoremAnd/Consequences.lean:162

theorem

chebyshev_asymptotic_finsum

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Consequences · PrimeNumberTheoremAnd/Consequences.lean:187

theorem

chebyshev_asymptotic'

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Consequences · PrimeNumberTheoremAnd/Consequences.lean:217

theorem

chebyshev_asymptotic''

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Consequences · PrimeNumberTheoremAnd/Consequences.lean:247

theorem

primorial_bounds

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Consequences · PrimeNumberTheoremAnd/Consequences.lean:278

theorem

primorial_bounds_finprod

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Consequences · PrimeNumberTheoremAnd/Consequences.lean:301

lemma

integral_log_inv

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Consequences · PrimeNumberTheoremAnd/Consequences.lean:331

lemma

integral_log_inv_pos

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Consequences · PrimeNumberTheoremAnd/Consequences.lean:398

lemma

integral_log_inv_pialt

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Consequences · PrimeNumberTheoremAnd/Consequences.lean:808

lemma

integral_div_log_asymptotic

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Consequences · PrimeNumberTheoremAnd/Consequences.lean:818

theorem

pi_alt

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Consequences · PrimeNumberTheoremAnd/Consequences.lean:853

lemma

pi_nth_prime_asymp

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Consequences · PrimeNumberTheoremAnd/Consequences.lean:922

lemma

log_nth_prime_asymp

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Consequences · PrimeNumberTheoremAnd/Consequences.lean:934

theorem

pn_asymptotic

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Consequences · PrimeNumberTheoremAnd/Consequences.lean:961

theorem

pn_pn_plus_one

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Consequences · PrimeNumberTheoremAnd/Consequences.lean:997

lemma

prime_in_gap

Open the record for the exact Lean statement and complete source.

PrimeNumberTheoremAnd.Consequences · PrimeNumberTheoremAnd/Consequences.lean:1179

Static source extraction only. Package code was not executed. Every result keeps its complete declaration, exact file and line range, commit, toolchain, license file, and content hash.