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

Sigma Eq One Div

theoremprovedFoundations

Documentation

Lean 4 Proof

theorem sigma_eq_one_div (ρ : ℝ) :
    elasticityOfSubstitution ρ = 1 / (1 - ρ) := rfl

Dependency Graph

Location

thesis/CESProofs/Applications/Economics.lean:68

Module Section

Economics extensions for CES formalization:

In the same file

elasticityOfSubstitution sigma_pos sigma_gt_one 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 gainsFromVariety_eq_trade_gains