Theorems · Theorem · algebraic topology

Bundle.Trivialization.apply_mk_symm

∀ {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 : Bundle.Trivialization F Bundle.TotalSpace.proj) {b : B}, b ∈ e.baseSet → ∀ (y : F), ↑e ⟨b, e.symm b y⟩ = (b, y)

Defined in

Mathlib.Topology.FiberBundle.Trivialization

Cited by

5 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceNonempty