Technical Lean evidence record
Checked Artifact: Rank–Nullity 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.rank_range_add_rank_ker- Module
Mathlib.LinearAlgebra.Dimension.RankNullity- Source file checked
Mathlib/LinearAlgebra/Dimension/RankNullity.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 cardinal-rank identity for a linear map under its HasRankNullity hypothesis: the ranks of the range and kernel add to the rank of the domain. It is not merely the finite-dimensional natural-number formula 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.