Theorems · Theorem · algebraic topology

Bundle.Trivialization.symm.congr_simp

∀ {B : Type u_1} {F : Type u_2} {E : B → Type u_3} [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F]
  [inst_2 : TopologicalSpace (Bundle.TotalSpace F E)] [inst_3 : ∀ (x : B), Nonempty (E x)]
  (e e_1 : Bundle.Trivialization F Bundle.TotalSpace.proj),
  e = e_1 → ∀ (b : B) (y y_1 : F), y = y_1 → e.symm b y = e_1.symm b y_1

Defined in

Mathlib.Topology.FiberBundle.Basic

Cited by

3 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceNonempty