Technical Lean evidence record

Checked Artifact: Central Limit Theorem (mathlib)

Proof Atlas collected build, no-sorry, axiom, and clean-source evidence directly from the pinned upstream declaration.

Four separate status axes

Upstream indexedPinned source bytes verified locally

Locally reproducedExact upstream declaration replayed

Reviewed page2 of 3 presentation reviews recorded

Accepted Atlas resultNot recorded for the preferred artifact

These states distinguish upstream identity, local reproduction, review, and Atlas acceptance. This page is part of the public, read-only Mathlib landmark collection.

Mechanical evidence

Declaration checked: ProbabilityTheory.tendstoInDistribution_inv_sqrt_mul_sum
Module: Mathlib.Probability.CentralLimitTheorem
Source file checked: Mathlib/Probability/CentralLimitTheorem.lean
Package commit: 5e932f97dd25535344f80f9dd8da3aab83df0fe6
Build: passed · transcript retained
Unfinished proof steps: None found by the recorded no-sorry scan
Axiom closure: Classical.choice, Quot.sound, propext
Clean collection provenance: Recorded

Evidence boundary

This page indexes Mathlib's distributional convergence theorem for independent identically distributed real random variables with mean zero and second moment one, normalized by the inverse square root of n, to a standard Gaussian law. It does not state a rate of convergence or cover arbitrary variance without normalization.

This checker record is evidence for the exact formal statement only. It does not establish novelty, transfer a historical acceptance decision, or authorize publication.