case h₁
ι : Type ?u.21592
B : Type u_1
F : Type u_2
E : B → Type ?u.21603
Z : Type u_3
inst✝³ : TopologicalSpace B
inst✝² : TopologicalSpace F
proj : Z → B
inst✝¹ : TopologicalSpace Z
inst✝ : TopologicalSpace (TotalSpace E)
e✝ : Trivialization F proj
x : Z
e e' : Trivialization F proj
h : (fun e => toPretrivialization e) e = (fun e => toPretrivialization e) e'
⊢ e.toLocalHomeomorph = e'.toLocalHomeomorph

case h₂
ι : Type ?u.21592
B : Type u_1
F : Type u_2
E : B → Type ?u.21603
Z : Type u_3
inst✝³ : TopologicalSpace B
inst✝² : TopologicalSpace F
proj : Z → B
inst✝¹ : TopologicalSpace Z
inst✝ : TopologicalSpace (TotalSpace E)
e✝ : Trivialization F proj
x : Z
e e' : Trivialization F proj
h : (fun e => toPretrivialization e) e = (fun e => toPretrivialization e) e'
⊢ e.baseSet = e'.baseSet
ι : Type ?u.21592
B : Type u_1
F : Type u_2
E : B → Type ?u.21603
Z : Type u_3
inst✝³ : TopologicalSpace B
inst✝² : TopologicalSpace F
proj : Z → B
inst✝¹ : TopologicalSpace Z
inst✝ : TopologicalSpace (TotalSpace E)
e✝ : Trivialization F proj
x : Z
e e' : Trivialization F proj
h : (fun e => toPretrivialization e) e = (fun e => toPretrivialization e) e'
⊢ e = e'
ext1
no goals
case h₁
ι : Type ?u.21592
B : Type u_1
F : Type u_2
E : B → Type ?u.21603
Z : Type u_3
inst✝³ : TopologicalSpace B
inst✝² : TopologicalSpace F
proj : Z → B
inst✝¹ : TopologicalSpace Z
inst✝ : TopologicalSpace (TotalSpace E)
e✝ : Trivialization F proj
x : Z
e e' : Trivialization F proj
h : (fun e => toPretrivialization e) e = (fun e => toPretrivialization e) e'
⊢ e.toLocalHomeomorph = e'.toLocalHomeomorph

case h₂
ι : Type ?u.21592
B : Type u_1
F : Type u_2
E : B → Type ?u.21603
Z : Type u_3
inst✝³ : TopologicalSpace B
inst✝² : TopologicalSpace F
proj : Z → B
inst✝¹ : TopologicalSpace Z
inst✝ : TopologicalSpace (TotalSpace E)
e✝ : Trivialization F proj
x : Z
e e' : Trivialization F proj
h : (fun e => toPretrivialization e) e = (fun e => toPretrivialization e) e'
⊢ e.baseSet = e'.baseSet
exacts [LocalHomeomorph.toLocalEquiv_injective (congr_arg Pretrivialization.toLocalEquiv h),
  congr_arg Pretrivialization.baseSet h]