Sections / Section 13: Hierarchical Architecture / welfareDistanceFn_strictly_convex

Welfare Distance Fn Strictly Convex

theoremprovedHierarchy

Documentation

Lean 4 Proof

theorem welfareDistanceFn_strictly_convex {z : ℝ} (hz : 0 < z) :
    0 < 1 / z ^ 2 := by
  positivity

Dependency Graph

Location

thesis/CESProofs/Hierarchy/Defs.lean:174

Module Section

Core definitions for the Lean formalization of Paper 4:

In the same file

HierarchicalCESEconomy convergenceSpeed convergenceSpeed_pos ngmEntry ngmEntry_pos cycleProductBeta cycleProductBeta_pos welfareDistanceFn welfareDistanceFn_at_one welfareDistanceFn_nonneg welfareDistanceFn_eq_zero_iff treeCoefficient institutionalQuality institutionalQuality_pos welfareContribution welfareContribution_nonneg logisticElasticity logisticElasticity_zero logisticElasticity_half logisticElasticity_denom_pos