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 hρ0 hρ1 hc hfoldPaper 3c, Section 3: First-Order Regime Shift