no goals
ι : Type ?u.12276
B : Type u_1
F : Type u_2
E : B → Type ?u.12287
Z : Type u_3
inst✝¹ : TopologicalSpace B
inst✝ : TopologicalSpace F
proj : Z → B
e✝ : Pretrivialization F proj
x : Z
e e' : Pretrivialization F proj
⊢ (LocalEquiv.trans (LocalEquiv.symm e.toLocalEquiv) e'.toLocalEquiv).target = (e.baseSet ∩ e'.baseSet) ×ˢ univ
rw [← LocalEquiv.symm_source, symm_trans_symm, symm_trans_source_eq, inter_comm]