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Verification.Nelsen21Order

← Mathematical handbook
theorem Verification.n21Comparison_inv {θ η : ℝ} (hθ : 1 ≤ θ) (hη : 1 ≤ η) (u : ↑unitInterval) :
n21Comparison θ η ((n21Generator θ hθ).invFun u) = (n21Generator η hη).invFun u
theorem Verification.n21Comparison_psi {θ η t : ℝ} (hθ : 1 ≤ θ) (hη : 1 ≤ η) (ht : t ∈ Set.Icc 0 1) :
n21Psi η (n21Comparison θ η t) = n21Psi θ t
theorem Verification.nelsen21_lowerOrthant_monotone {θ η : ℝ} (hθ : 1 ≤ θ) (hθη : θ ≤ η) :
(nelsen21 θ hθ).LowerOrthantLE (nelsen21 η ⋯)