Technical Lean evidence record
Checked Artifact: Banach–Steinhaus Theorem (mathlib)
Proof Atlas collected build, no-sorry, axiom, and clean-source evidence directly from the pinned upstream declaration.
ProofAtlas record
What has been checked
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
banach_steinhaus- Module
Mathlib.Analysis.Normed.Operator.BanachSteinhaus- Source file checked
Mathlib/Analysis/Normed/Operator/BanachSteinhaus.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 Banach–Steinhaus theorem for an arbitrary family of continuous semilinear maps from a complete seminormed 𝕜-space E to a seminormed 𝕜₂-space F, over an isometric ring homomorphism between nontrivially normed fields. If the family is pointwise norm-bounded, then one real constant uniformly bounds every operator norm. The pointwise constant may depend on x. The declaration does not assert convergence, compactness, injectivity, surjectivity, a finite index type, or completeness of the codomain.
This checker record is evidence for the exact formal statement only. It does not establish novelty, transfer a historical acceptance decision, or authorize publication.