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structure definition def or abbrev

LogAczelData

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formal statement (Lean)

 131structure LogAczelData (G : ℝ → ℝ) (P : ℝ → ℝ → ℝ) : Prop where
 132  continuous_G : Continuous G
 133  zero_G       : G 0 = 0
 134  even_G       : Function.Even G
 135  continuous_P : Continuous (Function.uncurry P)
 136  symmetric_P  : ∀ u v, P u v = P v u
 137  aczel_eq     : ∀ t u : ℝ, G (t + u) + G (t - u) = P (G t) (G u)
 138
 139/-- Continuity of the derived cost on positive ratios lifts to continuity of
 140the log-coordinate cost `G(t) = F(exp t)`. -/

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