Corpus formal_theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Formal theorem cid005304FTH0041canonicalv1

tau_identity_reduce (theorem)

/-- [I.T21] The τ-Identity Theorem (stagewise form): If two tower-coherent "reduce-form" stagewise functions have the same underlying maps, they produce the same outputs at every stage. This is trivially true by definition, but it captures the KEY insight: a reduce-form function is uniquely determined by its underlying map. Tower coherence + reduce form = complete determination. -/

Formalization

lean_axiom_freesorries: 0project axioms: 0
  • ModuleTauLib.BookI.Holomorphy.IdentityTheorem
  • Declarationtau_identity_reduce
  • Lean toolchainleanprover/lean4:v4.x.x

Identifiers

  • Corpus ID cid005304
  • Primary alias FTH0041
  • Type Formal theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

tau_identity_reducetau-identity-reduceTauLib.BookI.Holomorphy.IdentityTheorem::tau_identity_reduce

Release lines

corpus_v2corpus_v3_working

Version & History

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

Status disclaimer

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