Sections / Section 9: CES Potential and Information Friction / OnOpenSimplex

On Open Simplex

defprovedCES Potential

Documentation

Lean 4 Proof

def OnOpenSimplex (J : ℕ) (p : Fin J → ℝ) : Prop :=
  (∀ j, 0 < p j) ∧ ∑ j : Fin J, p j = 1

Dependency Graph

Used by

simplex_component_le_one tsallis_nonneg management_return_sign OnOpenSimplex.toSimplex tsallis_shannon_limit uniform_onOpenSimplex

Location

thesis/CESProofs/Potential/Defs.lean:73

Module Section

Core definitions for the Lean formalization of Paper 2:

In the same file

qLog qExp qLog_one qExp_zero qLog_eq_of_ne qExp_eq_of_ne OnSimplex tsallisEntropy tsallisEntropy_uniform cesPotential effectiveCurvatureKeff criticalFriction effectiveCurvatureKeff_zero_friction effectiveCurvatureKeff_above_critical effectiveCurvatureKeff_nonneg effectiveCurvatureKeff_le_K effectiveCurvatureKeff_pos uniform_onOpenSimplex OnOpenSimplex.toSimplex cesPotential_uniform_equal