Technical Lean evidence record

Checked Artifact: Fundamental Theorem of Calculus (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 pageCurrent public presentation reviewed

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: intervalIntegral.integral_deriv_eq_sub
Module: Mathlib.MeasureTheory.Integral.IntervalIntegral.FundThmCalculus
Source file checked: Mathlib/MeasureTheory/Integral/IntervalIntegral/FundThmCalculus.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 presents Mathlib's endpoint-difference form over the unordered closed interval Set.uIcc a b with an oriented interval integral. It requires pointwise differentiability there and IntervalIntegrable (deriv f); it is not every formulation of the Fundamental Theorem of Calculus.

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