Sections / Section 8: Applied Economics -- Elasticity, Demand, Trade / dualExponent_eq_conjExponent

Dual Exponent Eq Conj Exponent

theoremprovedFoundations

Documentation

Lean 4 Proof

theorem dualExponent_eq_conjExponent (ρ : ℝ) :
    dualExponent ρ = Real.conjExponent ρ := by
  simp only [dualExponent, Real.conjExponent]

Dependency Graph

Used by

dualExponent_eq_conjExponent' holder_conjugate_of_substitutes

Location

thesis/CESProofs/Applications/Economics.lean:527

Module Section

Economics extensions for CES formalization:

In the same file

elasticityOfSubstitution sigma_pos sigma_gt_one sigma_eq_one_div sigma_rho_inverse curvatureK_eq_sigma dualExponent_eq_sigma sigma_substitutes factorShare factorShare_nonneg factorShare_sum_eq_one factorShare_symmetric_uniform factorShare_le_one escortDistribution factorShare_eq_escort escort_symmetric_eq_uniform qExpectation_eq_factorShare_weighted gainsFromVariety gainsFromVariety_eq_scaling_ratio gainsFromVariety_gt_one