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structure definition def or abbrev

UniqueCostAxioms

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formal statement (Lean)

 116structure UniqueCostAxioms (F : ℝ → ℝ) : Prop where
 117  symmetric : ∀ {x}, 0 < x → F x = F x⁻¹
 118  unit : F 1 = 0
 119  convex : StrictConvexOn ℝ (Set.Ioi 0) F
 120  calibrated : deriv (deriv (F ∘ exp)) 0 = 1
 121  continuousOn_pos : ContinuousOn F (Ioi 0)
 122  coshAdd : FunctionalEquation.CoshAddIdentity F
 123  dAlembert_smooth : FunctionalEquation.dAlembert_continuous_implies_smooth_hypothesis (FunctionalEquation.H F)
 124  dAlembert_toODE : FunctionalEquation.dAlembert_to_ODE_hypothesis (FunctionalEquation.H F)
 125  ode_cont : FunctionalEquation.ode_regularity_continuous_hypothesis (FunctionalEquation.H F)
 126  ode_diff : FunctionalEquation.ode_regularity_differentiable_hypothesis (FunctionalEquation.H F)
 127  ode_bootstrap : FunctionalEquation.ode_linear_regularity_bootstrap_hypothesis (FunctionalEquation.H F)
 128
 129/-- Jcost is continuous on ℝ₊ -/

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