Corpus formal_theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Formal theorem cid005309FTH0047canonicalv1

removable_singularity (theorem)

/-- [I.T30] Removable Singularity: if two tower-coherent functions agree at depth d₀ for all inputs, they agree at all depths ≤ d₀. This is a repackaging of the Identity Theorem (I.T21) in the language of extensions. The "removable singularity" interpretation: knowing f on a dense set of inputs at stage d₀ determines f everywhere (because reduced inputs form a finite set at each stage). -/

Formalization

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

Identifiers

  • Corpus ID cid005309
  • Primary alias FTH0047
  • Type Formal theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

removable_singularityTauLib.BookI.Holomorphy.Thinness::removable_singularity

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