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theorem proved term proof

absolute_floor_of_bare_distinguishability

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formal statement (Lean)

  38theorem absolute_floor_of_bare_distinguishability
  39    {K : Type*} [Nonempty K] (h : ∃ x y : K, x ≠ y) :
  40    AbsoluteFloorWitness K where
  41  meta_distinguishes := meta_language_distinguishes_props

proof body

Term-mode proof.

  42  nontrivial_specifiable :=
  43    (distinguishability_iff_nontrivial_specifiability).mp h
  44
  45/-- Bare distinguishability and the absolute-floor witness are equivalent on
  46an inhabited carrier. -/

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depends on (8)

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