Corpus formal_theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Formal theorem cid005349FTH0087canonicalv1

tau_strict_mem_wf (theorem)

/-- [I.P12] Well-foundedness of nonzero strict τ-membership: there is no infinite descending chain ... ∈^strict_τ x₂ ∈^strict_τ x₁ ∈^strict_τ x₀ when all elements are nonzero. Proof: tau_strict_mem_nz is a subrelation of Nat.lt (via identity), and Nat.lt is well-founded. -/

Formalization

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

Identifiers

  • Corpus ID cid005349
  • Primary alias FTH0087
  • Type Formal theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

tau_strict_mem_wftau-strict-mem-wfTauLib.BookI.Sets.Powerset::tau_strict_mem_wf

Release lines

corpus_v2corpus_v3_working

Version & History

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

Status disclaimer

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