Lean verification record
Checked Artifact: Grönwall's Inequality (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
norm_le_gronwallBound_of_norm_deriv_right_le- Module
Mathlib.Analysis.ODE.Gronwall- Source file checked
Mathlib/Analysis/ODE/Gronwall.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
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 norm-valued right-derivative form of Grönwall's inequality. A continuous f : ℝ → E on Icc a b, with right derivative f' x within Ici x for x in Ico a b, initial bound ‖f a‖ ≤ δ, and local bound ‖f' x‖ ≤ K * ‖f x‖ + ε, satisfies ‖f x‖ ≤ gronwallBound δ K ε (x - a) on Icc a b. The selected declaration does not state an integral form, add sign assumptions on K, δ, or ε, prove ODE existence or uniqueness, or cover points outside the recorded interval.
This checker record does not establish novelty, transfer a historical acceptance decision, or authorize publication.