exact ihq.mp $ h hx $ ihp.mpr hp
case himp.mp.intro.intro
α : Type u_1
inst✝² : Inhabited α
inst✝¹ : DecidableEq α
inst✝ : Encodable α
p✝ q✝ : Formula α
M₁ M₂ : Model α
w₁ : M₁.World
w₂ : M₂.World
p q : Formula α
ihp : ∀ {w : M₂.World}, Satisfies M₂ w p ↔ Satisfies (IntDPCounterexampleModel M₁ M₂ w₁ w₂) (Sum.inr (Sum.inr w)) p
ihq : ∀ {w : M₂.World}, Satisfies M₂ w q ↔ Satisfies (IntDPCounterexampleModel M₁ M₂ w₁ w₂) (Sum.inr (Sum.inr w)) q
w : M₂.World
h : ∀ {w' : M₂.Frame.World}, w ≺ w' → Satisfies M₂ w' p → Satisfies M₂ w' q
x : M₂.Frame.World
hx : w ≺ x
hWX : Sum.inr (Sum.inr w) ≺ Sum.inr (Sum.inr x)
hp : Satisfies (IntDPCounterexampleModel M₁ M₂ w₁ w₂) (Sum.inr (Sum.inr x)) p
⊢ Satisfies (IntDPCounterexampleModel M₁ M₂ w₁ w₂) (Sum.inr (Sum.inr x)) q
no goals