Corpus formal_theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Formal theorem cid005293FTH0030canonicalv1

growth_escape (theorem)

/-- [I.L02] **Growth Escape**: Tetration escapes the primorial tower. For any tower depth d ≥ 1, there exists a tetration height c such that 2↑↑c mod M_d ≠ 2↑↑c — the tetration value cannot be represented faithfully within the primorial modulus. This is the quantitative shadow of saturation: the 4th hyperoperation level produces values that outrun the finite primorial approximations, no matter how deep the tower extends. -/

Formalization

lean_axiom_freesorries: 0project axioms: 0
  • ModuleTauLib.BookI.Denotation.GrowthEscape
  • Declarationgrowth_escape
  • Lean toolchainleanprover/lean4:v4.x.x

Identifiers

  • Corpus ID cid005293
  • Primary alias FTH0030
  • Type Formal theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

growth_escapeTauLib.BookI.Denotation.GrowthEscape::growth_escape

Release lines

corpus_v2corpus_v3_working

Version & History

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

Status disclaimer

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