Public Mathlib landmark · existing upstream theorem · read-only

Technical Lean evidence record

Checked Artifact: Cayley–Hamilton 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
LinearMap.aeval_self_charpoly
Module
Mathlib.LinearAlgebra.Charpoly.Basic
Source file checked
Mathlib/LinearAlgebra/Charpoly/Basic.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 target indexes Mathlib's theorem that a linear endomorphism of a finite free module over a commutative ring annihilates its own characteristic polynomial. It is not restricted to matrices over a field and does not claim a new proof.

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