no goals
α : Type u_1
β : Type ?u.398357
γ : Type ?u.398360
δ : Type ?u.398363
inst✝³ : TopologicalSpace α
inst✝² : TopologicalSpace β
inst✝¹ : TopologicalSpace γ
inst✝ : TopologicalSpace δ
s s' t : Set α
ht : s ∩ frontier t = s' ∩ frontier t
⊢ Set.ite t s s' ∩ closure t = s ∩ closure t
rw [closure_eq_self_union_frontier, inter_union_distrib_left, inter_union_distrib_left,
  ite_inter_self, ite_inter_of_inter_eq _ ht]