Technical Lean evidence record
Checked Artifact: Ostrowski's 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
Rat.AbsoluteValue.equiv_real_or_padic- Module
Mathlib.NumberTheory.Ostrowski- Source file checked
Mathlib/NumberTheory/Ostrowski.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 classification of nontrivial absolute values f : AbsoluteValue ℚ ℝ. The conclusion is equivalence, not equality: f is equivalent to the standard real absolute value, or there is a unique natural number p carrying a prime instance for which f is equivalent to the p-adic absolute value. The declaration concerns ℚ with values in ℝ; it does not classify absolute values over arbitrary global fields or valuations with arbitrary codomains.
This checker record is evidence for the exact formal statement only. It does not establish novelty, transfer a historical acceptance decision, or authorize publication.