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structure definition def or abbrev

TruthEvaluableComparison

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formal statement (Lean)

  24structure TruthEvaluableComparison (C : ComparisonOperator) : Prop where
  25  self_evaluable : ∀ x : ℝ, 0 < x → C x x = 0
  26  reorder_single_valued : ∀ x y : ℝ, 0 < x → 0 < y → C x y = C y x
  27  determinate_continuous :
  28    ContinuousOn (Function.uncurry C) (Set.Ioi (0 : ℝ) ×ˢ Set.Ioi (0 : ℝ))
  29  composite_determinate : FinitePairwisePolynomialClosure C
  30  scale_free : ScaleInvariant C
  31  nontrivial : NonTrivial C
  32
  33/-- Truth-evaluability of self-statements gives identity. -/

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