Immutable source snapshot

Collatz predecessor lower-bound source

This snapshot contains the exact Lean definitions and proofs referenced by all three theorem pages. Inspect individual files to understand the package, reproduce the check locally, test an objection, or use the source as the base for further formal work.

Git commit5f76a170e74ea5b0c37c56683bd4c1e9d72e5e3f

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Canonical source routeAuthorized for publication

Formalization at a glance

Three exact statements, one checked source closure

Browse the counted source

Recorded declarations: 3
First-party Lean files: 58
Lean source lines: 10,237
Main recorded file: 39 lines

How counting works: Line counts exclude blank lines; comments and documentation count. The total is the deduplicated first-party Lean import closure of the three recorded theorem declarations at commit 5f76a170e74e; Mathlib and other third-party dependencies are excluded. This is source footprint, not a proof-quality or difficulty score.

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Understand the packageREADME.md Read the public declarationsCollatzPredecessor090.lean Reproduce the checkREPRODUCIBILITY.md

Complete tracked Lean source tree

All 64 Lean files at the pinned commit are available here. Search by file or directory, then open only the group you need. File links open raw source in a new tab; the archive below downloads the complete package.

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Showing all 64 files

Additional entry points · Erdos1135/KrasikovLagarias2 files · 455 lines

Erdos1135/KrasikovLagarias/EliminationAuxiliaryTermination.leanLean proof module · 148 lines
Erdos1135/KrasikovLagarias/EliminationPathExtraction.leanLean proof module · 307 lines

Additional entry points · Package root4 files · 87 lines

AxiomAudit.leanLean axiom-audit entry point · 4 lines
Challenge.leanStandalone challenge entry point · 45 lines
ComparatorChallenge.leanCertificate comparator entry point · 36 lines
Solution.leanComparator solution entry point · 2 lines

Checked proof closure · Erdos1135/KrasikovLagarias54 files · 10,096 lines

Erdos1135/KrasikovLagarias/AdaptiveAllowedFamily.leanLean proof module · 320 lines
Erdos1135/KrasikovLagarias/AdaptiveAuxiliaryTermination.leanLean proof module · 150 lines
Erdos1135/KrasikovLagarias/AdaptiveCriticalChoice.leanLean proof module · 171 lines
Erdos1135/KrasikovLagarias/AdaptiveCriticalSkeleton.leanLean proof module · 326 lines
Erdos1135/KrasikovLagarias/AdaptiveForcedPotential.leanLean proof module · 144 lines
Erdos1135/KrasikovLagarias/AdaptiveForcedPotentialCertificate.leanLean proof module · 195 lines
Erdos1135/KrasikovLagarias/AdaptiveNormalizedCoefficient.leanLean proof module · 211 lines
Erdos1135/KrasikovLagarias/AdaptiveNormalizer.leanLean proof module · 210 lines
Erdos1135/KrasikovLagarias/AdaptivePathExtraction.leanLean proof module · 306 lines
Erdos1135/KrasikovLagarias/Asymptotic.leanLean proof module · 46 lines
Erdos1135/KrasikovLagarias/Certificate.leanLean proof module · 146 lines
Erdos1135/KrasikovLagarias/ChunkedEncoding.leanLean proof module · 64 lines
Erdos1135/KrasikovLagarias/DeletionContext.leanLean proof module · 165 lines
Erdos1135/KrasikovLagarias/Elimination.leanLean proof module · 170 lines
Erdos1135/KrasikovLagarias/EliminationAllowedFamily.leanLean proof module · 475 lines
Erdos1135/KrasikovLagarias/EliminationCombinatorics.leanLean proof module · 35 lines
Erdos1135/KrasikovLagarias/EliminationCriticalContext.leanLean proof module · 229 lines
Erdos1135/KrasikovLagarias/EliminationCriticalDeletion.leanLean proof module · 176 lines
Erdos1135/KrasikovLagarias/EliminationCriticalFamily.leanLean proof module · 162 lines
Erdos1135/KrasikovLagarias/EliminationCriticalHistory.leanLean proof module · 117 lines
Erdos1135/KrasikovLagarias/EliminationCriticalPath.leanLean proof module · 130 lines
Erdos1135/KrasikovLagarias/EliminationCriticalReplacement.leanLean proof module · 161 lines
Erdos1135/KrasikovLagarias/EliminationCriticalSkeleton.leanLean proof module · 367 lines
Erdos1135/KrasikovLagarias/EliminationCriticalSplit.leanLean proof module · 206 lines
Erdos1135/KrasikovLagarias/EliminationCriticalTree.leanLean proof module · 185 lines
Erdos1135/KrasikovLagarias/EliminationNormalizer.leanLean proof module · 265 lines
Erdos1135/KrasikovLagarias/EliminationPolicy.leanLean proof module · 203 lines
Erdos1135/KrasikovLagarias/EliminationPruning.leanLean proof module · 153 lines
Erdos1135/KrasikovLagarias/EliminationResidue.leanLean proof module · 301 lines
Erdos1135/KrasikovLagarias/EliminationShift.leanLean proof module · 144 lines
Erdos1135/KrasikovLagarias/EliminationSourceSystem.leanLean proof module · 357 lines
Erdos1135/KrasikovLagarias/EliminationTrace.leanLean proof module · 226 lines
Erdos1135/KrasikovLagarias/EliminationUniformShiftBounds.leanLean proof module · 159 lines
Erdos1135/KrasikovLagarias/EncodedCertificate.leanLean proof module · 50 lines
Erdos1135/KrasikovLagarias/Envelope.leanLean proof module · 760 lines
Erdos1135/KrasikovLagarias/FiniteColorAntitone.leanLean proof module · 92 lines
Erdos1135/KrasikovLagarias/FiniteColorDescent.leanLean proof module · 45 lines
Erdos1135/KrasikovLagarias/ForcedPotentialCertificate.leanLean proof module · 219 lines
Erdos1135/KrasikovLagarias/IrrationalRotation.leanLean proof module · 156 lines
Erdos1135/KrasikovLagarias/K18CoefficientBridge.leanLean proof module · 210 lines
Erdos1135/KrasikovLagarias/K18CriticalChoice.leanLean proof module · 43 lines
Erdos1135/KrasikovLagarias/K18PowerOfTwoTargets.leanLean proof module · 105 lines
Erdos1135/KrasikovLagarias/K18PredecessorAllTargets.leanLean proof module · 60 lines
Erdos1135/KrasikovLagarias/K18PredecessorBridge.leanLean proof module · 99 lines
Erdos1135/KrasikovLagarias/K18PrincipalIndex.leanLean proof module · 46 lines
Erdos1135/KrasikovLagarias/K18SourceBridge.leanLean proof module · 172 lines
Erdos1135/KrasikovLagarias/PeriodicTargetReduction.leanLean proof module · 208 lines
Erdos1135/KrasikovLagarias/PotentialRecordSyndetic.leanLean proof module · 132 lines
Erdos1135/KrasikovLagarias/PredecessorCount.leanLean proof module · 168 lines
Erdos1135/KrasikovLagarias/RealCertificate.leanLean proof module · 148 lines
Erdos1135/KrasikovLagarias/Retarded.leanLean proof module · 216 lines
Erdos1135/KrasikovLagarias/RetardedChoice.leanLean proof module · 125 lines
Erdos1135/KrasikovLagarias/SyndeticIrrationalRotation.leanLean proof module · 236 lines
Erdos1135/KrasikovLagarias/SyndeticRecordDescent.leanLean proof module · 131 lines

Checked proof closure · Erdos1135/KrasikovLagarias/Generated2 files · 83 lines

Erdos1135/KrasikovLagarias/Generated/K18AdaptiveForcedPotential.leanGenerated Lean certificate wrapper · 32 lines
Erdos1135/KrasikovLagarias/Generated/K18Gamma901.leanGenerated Lean certificate wrapper · 51 lines

Checked proof closure · Erdos1135/Terras/Core1 file · 19 lines

Erdos1135/Terras/Core/Defs.leanLean proof module · 19 lines

Checked proof closure · Package root1 file · 39 lines

CollatzPredecessor090.leanLean theorem declarations · 39 lines

Release and reproducibility files

These fixed files document assumptions, checking, citation, licensing, and release identity.

ASSUMPTIONS.mdDeclared assumptions and axiom policy
AUDIT.mdRelease audit summary
CERTIFICATES.mdRelease file
CITATION.cffCitation metadata
LICENSEReuse terms
README.mdPackage overview
REPRODUCIBILITY.mdBuild and checking instructions
SHA256SUMS.txtRelease file hashes
SOURCE_FIDELITY.mdRelease file
STATEMENT_MAP.mdInformal-to-formal statement map
VERSION.txtRelease version

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