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structure definition def or abbrev

SatisfiesLawsOfLogic

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formal statement (Lean)

 149structure SatisfiesLawsOfLogic (C : ComparisonOperator) : Prop where
 150  identity            : Identity C
 151  non_contradiction   : NonContradiction C
 152  excluded_middle     : ExcludedMiddle C
 153  scale_invariant     : ScaleInvariant C
 154  route_independence  : RouteIndependence C
 155  non_trivial         : NonTrivial C
 156
 157/-! ## Translation Lemmas
 158
 159The four Aristotelian constraints, applied to the derived cost function
 160F(r) := C(r, 1), produce the hypotheses of the d'Alembert Inevitability

proof body

Definition body.

 161Theorem.
 162-/
 163
 164/-- **Translation lemma 1 (Identity ⇒ Normalization)**: If a comparison
 165operator satisfies Identity, then the derived cost function takes value
 166zero at the multiplicative identity. -/

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