Lean verification record

Checked Artifact: Law of Sines (mathlib)

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

Verification result

The recorded Lean checks passed

Build replaypassed with retained transcript
Unfinished stepsNone found
Source identityPinned commit and file recorded
Dependency profileAxiom closure recorded

Reproducibility details

What the checker recorded

Declaration checked: EuclideanGeometry.sin_angle_mul_dist_eq_sin_angle_mul_dist
Module: Mathlib.Geometry.Euclidean.Triangle
Source file checked: Mathlib/Geometry/Euclidean/Triangle.lean
Package commit: 5e932f97dd25535344f80f9dd8da3aab83df0fe6
Build transcript: passed · retained with this record
Unfinished proof steps: None found by the recorded no-sorry scan
Axiom closure: Classical.choice, Quot.sound, propext
Collection provenance: Clean source state recorded

ProofAtlas record

What has been checked

Upstream indexedPinned source bytes verified locally

Locally reproducedExact upstream declaration replayed

Reviewed pageCurrent public presentation reviewed

Accepted Atlas resultNot recorded for the preferred artifact

Mathlib is the source of the theorem; the local Lean replay and page review are separate.

Evidence boundary

Exact formal statement only

This page indexes Mathlib's division-free angle-at-point law of sines for arbitrary points p₁, p₂, and p₃ in an affine metric space modeled on a real inner-product space. The selected endpoint is exactly Real.sin (∠ p₁ p₂ p₃) * dist p₂ p₃ = Real.sin (∠ p₃ p₁ p₂) * dist p₃ p₁. It assumes neither distinctness nor non-collinearity and is not limited to the Euclidean plane. It does not itself state a quotient identity, justify division by either distance, or present all three cyclic ratios in one declaration.

This checker record does not establish novelty, transfer a historical acceptance decision, or authorize publication.