Corpus formal_theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Formal theorem cid005348FTH0086canonicalv1

nat_not_internal_set (theorem)

/-- [I.R28] Combined "no internal copy" result: for nonzero n, no Set(α_n) captures all of ℕ⁺, and Set(ω) strictly exceeds O_α. This expresses the inseparability of ℕ and ω: O_α ≅ ℕ⁺ is NOT a valid τ-internal set. The closest is Set(ω) = O_α ∪ {ω}. -/

Formalization

lean_axiom_freesorries: 0project axioms: 0
  • ModuleTauLib.BookI.Sets.OrbitSets
  • Declarationnat_not_internal_set
  • Lean toolchainleanprover/lean4:v4.x.x

Identifiers

  • Corpus ID cid005348
  • Primary alias FTH0086
  • Type Formal theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

nat_not_internal_setnat-not-internal-setTauLib.BookI.Sets.OrbitSets::nat_not_internal_set

Release lines

corpus_v2corpus_v3_working

Version & History

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

Status disclaimer

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