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formal statement (Lean)
64theorem operative_to_laws_of_logic
65 (C : ComparisonOperator)
66 (hOp : OperativePositiveRatioComparison C)
67 (hFinite : FinitePairwisePolynomialClosure C) :
68 SatisfiesLawsOfLogic C where
69 identity := hOp.identity
proof body
Term-mode proof.
70 non_contradiction := hOp.non_contradiction
71 excluded_middle := hOp.continuous
72 scale_invariant := hOp.scale_invariant
73 route_independence := hFinite
74 non_trivial := hOp.non_trivial
75
76/-- **RCL as the finite pairwise polynomial algebra of positive-ratio comparison.**
77
78Any operative positive-ratio comparison with finite pairwise polynomial
79closure has a derived cost satisfying the Recognition Composition Law family.
80This theorem uses the existing d'Alembert inevitability theorem, since its
81hypothesis is the broader polynomial-degree-two closure condition.
82-/
used by (4)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (23)
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