Corpus formal_theorem canonical 2026-05-27T20:53:50+00:00
Corpus v3 · Formal theorem cid005299FTH0036canonicalv1

no_simul_projection_b (theorem)

/-- [I.P23] No Simultaneous Projection (sector purity): For a tower-coherent function where one sector is constantly zero, the other sector carries all the information. Concretely: if f.b_fun = 0 everywhere, then f.c_fun is the sole carrier; and vice versa. The sectors cannot BOTH be nontrivial for a well-behaved (tower-coherent) omega-germ transformer. This is formalized as: the product of a B-only and C-only stagewise function outputs zero. -/

Formalization

lean_axiom_freesorries: 0project axioms: 0
  • ModuleTauLib.BookI.Holomorphy.DiagonalProtection
  • Declarationno_simul_projection_b
  • Lean toolchainleanprover/lean4:v4.x.x

Identifiers

  • Corpus ID cid005299
  • Primary alias FTH0036
  • Type Formal theorem
  • Status canonical
  • Visibility public
  • Version v1

Aliases & legacy IDs

no_simul_projection_bno-simul-projection-bTauLib.BookI.Holomorphy.DiagonalProtection::no_simul_projection_b

Release lines

corpus_v2corpus_v3_working

Version & History

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

Status disclaimer

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