Corpus formal_theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Formal theorem cid005400FTH0138canonicalv1

central_roundtrip (theorem)

/-- [II.T40] Central Theorem round-trip: the forward and inverse maps compose to the identity on spectral data. For b_fn = identity: spectral_to_hol(id, id, x, k) = (reduce(x,k), reduce(x,k)) hol_to_spectral(id_stage, x, k) = (reduce(x,k), reduce(x,k)) These are equal. -/

Formalization

lean_axiom_freesorries: 0project axioms: 0
  • ModuleTauLib.BookII.CentralTheorem.CentralTheorem
  • Declarationcentral_roundtrip
  • Lean toolchainleanprover/lean4:v4.x.x

Identifiers

  • Corpus ID cid005400
  • Primary alias FTH0138
  • Type Formal theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

central_roundtripcentral-roundtripTauLib.BookII.CentralTheorem.CentralTheorem::central_roundtrip

Release lines

corpus_v2corpus_v3_working

Version & History

  • v1 · 2026-05-10 imported from v2 taulib declarations

Status disclaimer

A Corpus Item page reports the program's current internal record for this item. It does not imply external verification, scientific consensus, or final proof unless explicitly stated. Read it together with its dependencies, formalization status, and the program's overall stance.

Save or share this page for inspection

Download a portable dossier, copy a reviewer note, or send this page to someone who can inspect it.

Email to expert