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def definition def or abbrev

NonTrivial

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formal statement (Lean)

 142def NonTrivial (C : ComparisonOperator) : Prop :=

proof body

Definition body.

 143  ∃ x : ℝ, 0 < x ∧ derivedCost C x ≠ 0
 144
 145/-- A comparison operator **satisfies the laws of logic** if all four
 146Aristotelian constraints hold, together with scale invariance (the bridge
 147from two-argument to one-argument form) and non-triviality (so that the
 148derived cost is not vacuously zero). -/

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