Corpus formal_theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Formal theorem cid005338FTH0076canonicalv1

no_unearned_decimal_diagonal (theorem)

/-- [I.P34] No Unearned Decimal Diagonal: no extractor can have its diagonal avoid all rows. Proof: the avoidance condition diagonal(n) != extract(n, n) directly contradicts diagonal_def which says diagonal(n) = extract(n, n). This is the liar-paradox core of the diagonal argument, and tau blocks it by making diagonal extraction self-referential. -/

Formalization

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

Identifiers

  • Corpus ID cid005338
  • Primary alias FTH0076
  • Type Formal theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

no_unearned_decimal_diagonalTauLib.BookI.Sets.CantorRefutation::no_unearned_decimal_diagonal

Release lines

corpus_v2corpus_v3_working

Version & History

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

Status disclaimer

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