First-party checked source

Source for Kirchhoff’s Matrix-Tree Theorem

This pinned Lean source formalizes the following mathematical result: For any finite simple graph and chosen root, the determinant of the integer reduced Laplacian equals the number of spanning trees. Download the complete checked closure or open its single Lean endpoint to study the proof or develop an extension.

Immutable source commit: e5057d269d42d50b1140c43f9d61e3670b6641ef

Each ZIP contains the checked first-party local Lean import closure, exact statements and boundaries, license, notice, evidence, a source-footprint manifest, and an agent continuation file. Mathlib and other third-party dependencies are not bundled; this is not a portable whole-repository release.

Formalization at a glance

What is checked—and how much source supports it

Browse the counted source
Declarations covered by evidence
2
First-party Lean files
1
Lean source lines
2,043
Main recorded file
2,043 lines

How counting works: Line counts exclude blank lines; comments and documentation count. The total is the deduplicated, commit-pinned first-party Lean import closure; Mathlib and other third-party dependencies are excluded. Declaration count means names covered by the artifact's recorded evidence; it is not a count of every declaration in the source. Source footprint is not a difficulty or proof-quality score.

Exact theorem evidence

Kirchhoff’s Matrix-Tree Theorem

AtlasKnownTheorems.MatrixTreeTheorem.matrixTreeTheorem, AtlasKnownTheorems.MatrixTreeTheorem.MatrixTreeTheoremStatement

This hash-matched file is the complete first-party Lean closure for the theorem.

Commit
e5057d269d42d50b1140c43f9d61e3670b6641ef
Main Lean file
AtlasKnownTheorems/MatrixTreeTheorem/Basic.lean
Main-file footprint
2,043 lines
File SHA-256
sha256:216763480d3d26cd0879954a51895d88596b6183499bb2bcda9766844247df4a
Complete Lean closure
1 file · 2,043 lines
Toolchain
leanprover/lean4:v4.29.1

Deduplicated checked source

Complete Lean import closure

This closure supports the theorem evidence record above.

This theorem's complete first-party Lean closure is the single main file shown above: 2,043 lines. External Mathlib modules remain dependency-locked separately.

Source hashMatches checked record
Lean buildPassed in recorded evidence
LicenseApache-2.0 · Advameg, Inc.

Provenance and reproducibility

Exact checked source, with reuse terms

The endpoint and every listed local import come from the exact recorded Git commit, and the endpoint matches the stored source hash byte for byte. The locally authored package material is licensed under Apache-2.0 by Advameg, Inc.; Mathlib and cited third-party material remain under their own terms. Machine-readable checker evidence is included.