Sections / Section 13: Hierarchical Architecture / welfareDistanceFn_at_one

Welfare Distance Fn At One

theoremprovedHierarchy

Documentation

Lean 4 Proof

theorem welfareDistanceFn_at_one : welfareDistanceFn 1 = 0 := by
  simp [welfareDistanceFn, Real.log_one]

Dependency Graph

Used by

aggregateWelfareLoss_eq_zero_iff welfareDistanceFn_eq_zero_iff extendedWelfare_at_optimum

Location

thesis/CESProofs/Hierarchy/Defs.lean:130

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_nonneg welfareDistanceFn_eq_zero_iff welfareDistanceFn_strictly_convex treeCoefficient institutionalQuality institutionalQuality_pos welfareContribution welfareContribution_nonneg logisticElasticity logisticElasticity_zero logisticElasticity_half logisticElasticity_denom_pos