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def definition def or abbrev

CompositionConsistency

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formal statement (Lean)

 159def CompositionConsistency (C : ℝ → ℝ → ℝ) : Prop :=

proof body

Definition body.

 160  ∃ P : ℝ → ℝ → ℝ,
 161    ∀ x y : ℝ, 0 < x → 0 < y →
 162      C (x * y) 1 + C (x / y) 1 = P (C x 1) (C y 1)
 163
 164/-- The equality-induced cost on `ℝ`, taken with the multiplicative
 165identity `1` as base point. -/

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