theorem self_reinforcing_entry {J₁ J₂ ρ c cost : ℝ}
(hJ₁ : 1 < J₁) (hJ₁₂ : J₁ < J₂) (hρ0 : 0 < ρ) (hρ1 : ρ < 1)
(hc : 0 < c) (hprofit : cost < valueFunction J₁ ρ c) :
cost < valueFunction J₂ ρ c := by
have hV := valueFunction_increasing hJ₁ hJ₁₂ hρ0 hρ1 hc
linarith## Entry-Exit Dynamics