pith. machine review for the scientific record. sign in
structure

AbsoluteFloorClosureCert

definition
show as:
view math explainer →
module
IndisputableMonolith.Foundation.AbsoluteFloorClosure
domain
Foundation
line
68 · github
papers citing
none yet

open explainer

Generate a durable explainer page for this declaration.

open lean source

IndisputableMonolith.Foundation.AbsoluteFloorClosure on GitHub at line 68.

browse module

All declarations in this module, on Recognition.

explainer page

Tracked in the explainer inventory; generation is lazy so crawlers do not trigger LLM jobs.

open explainer

depends on

used by

formal source

  65  rfl
  66
  67/-- Joint closure certificate. -/
  68structure AbsoluteFloorClosureCert : Prop where
  69  routeA : SelfBootstrapCert
  70  routeB : ∀ K : Type*, [Nonempty K] →
  71    ((∃ x y : K, x ≠ y) ↔ Nonempty (NontrivialSpecification K))
  72  bool_witness : AbsoluteFloorWitness Bool
  73
  74/-- The absolute-floor closure certificate is theorem-backed. -/
  75theorem absoluteFloorClosureCert : AbsoluteFloorClosureCert where
  76  routeA := selfBootstrapCert
  77  routeB := fun K _ => distinguishability_iff_nontrivial_specifiability (K := K)
  78  bool_witness := bool_absolute_floor
  79
  80end AbsoluteFloorClosure
  81end Foundation
  82end IndisputableMonolith