Corpus formal_theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Formal theorem cid005323FTH0061canonicalv1

explosion_barrier (theorem)

/-- [I.T13] The explosion barrier: B does not imply everything. Specifically, impl B F = N, not T. This is the central paraconsistent feature of Truth4. Calculation: impl B F = join (neg B) F = join N F = N. Since N <> T, the implication B -> F is not "true". -/

Formalization

lean_axiom_freesorries: 0project axioms: 0
  • ModuleTauLib.BookI.Logic.Explosion
  • Declarationexplosion_barrier
  • Lean toolchainleanprover/lean4:v4.x.x

Identifiers

  • Corpus ID cid005323
  • Primary alias FTH0061
  • Type Formal theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

explosion_barrierTauLib.BookI.Logic.Explosion::explosion_barrier

Release lines

corpus_v2corpus_v3_working

Version & History

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

Status disclaimer

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