simp only [s1]
α β : Type
inst✝ : DecidableEq α
xs ys : List α
f g h h' : α → β
x : α
h1 : ∀ y ∈ ys, h y = h' y
h2 : xs.length = ys.length
h3 : x ∈ xs
s1 : List.map h ys = List.map h' ys
⊢ updateListITE f xs (List.map h ys) x = updateListITE g xs (List.map h' ys) x
α β : Type
inst✝ : DecidableEq α
xs ys : List α
f g h h' : α → β
x : α
h1 : ∀ y ∈ ys, h y = h' y
h2 : xs.length = ys.length
h3 : x ∈ xs
s1 : List.map h ys = List.map h' ys
⊢ updateListITE f xs (List.map h' ys) x = updateListITE g xs (List.map h' ys) x