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Lean 4 Proof

theorem fold_underentry {J_fold ρ c cost : ℝ}
    (hJ : 1 < J_fold) (hρ0 : 0 < ρ) (hρ1 : ρ < 1) (hc : 0 < c)
    (hfold : valueFunction J_fold ρ c = cost) :
    cost < valueFunction J_fold ρ c + J_fold * valueFunctionDeriv J_fold ρ c :=
  underentry_at_private_optimum hJ hρ01 hc hfold

Dependency Graph

Module Section

Paper 3c, Section 3: First-Order Regime Shift