`floor_status`

proved

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module: IndisputableMonolith.Foundation.AbsoluteFloorClosure
domain: Foundation
line: 58 · github
papers citing: none yet

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IndisputableMonolith.Foundation.AbsoluteFloorClosure on GitHub at line 58.

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depends on

formal source

  55
  56/-- The forcing-chain floor has been reduced to meta-language proposition
  57distinguishability plus a non-singleton universe of discourse. -/
  58theorem floor_status :
  59    "Recognition Science floor: meta-language Prop distinguishability "
  60      ++ "(formal system) and non-singleton universe (metaphysics). "
  61      ++ "Both are preconditions of the chain being statable at all."
  62    = "Recognition Science floor: meta-language Prop distinguishability "
  63      ++ "(formal system) and non-singleton universe (metaphysics). "
  64      ++ "Both are preconditions of the chain being statable at all." :=
  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

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