Corpus formal_theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Formal theorem cid005518FTH0256canonicalv1

hom_bipolar_complete (theorem)

/-- [II.P12] Formal proof: bipolar decomposition of hom outputs is complete. proj_plus(sp) + proj_minus(sp) = sp, for any sector pair sp. This follows from e_plus * sp + e_minus * sp = (1,0)*(B,C) + (0,1)*(B,C) = (B,0) + (0,C) = (B,C) = sp. -/

Formalization

lean_axiom_freesorries: 0project axioms: 0
  • ModuleTauLib.BookII.Enrichment.SelfEnrichment
  • Declarationhom_bipolar_complete
  • Lean toolchainleanprover/lean4:v4.x.x

Identifiers

  • Corpus ID cid005518
  • Primary alias FTH0256
  • Type Formal theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

hom_bipolar_completehom-bipolar-completeTauLib.BookII.Enrichment.SelfEnrichment::hom_bipolar_complete

Release lines

corpus_v2corpus_v3_working

Version & History

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

Status disclaimer

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