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theorem proved term proof

truth_eval_to_operative

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formal statement (Lean)

  64theorem truth_eval_to_operative
  65    (C : ComparisonOperator)
  66    (hT : TruthEvaluableComparison C) :
  67    OperativePositiveRatioComparison C where
  68  identity := truth_eval_implies_identity C hT

proof body

Term-mode proof.

  69  non_contradiction := truth_eval_implies_non_contradiction C hT
  70  continuous := truth_eval_implies_totality C hT
  71  scale_invariant := hT.scale_free
  72  non_trivial := hT.nontrivial
  73
  74/-- Truth-evaluable comparisons satisfy the encoded laws of logic. -/

used by (2)

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depends on (14)

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