Theorems · Theorem · algebraic topology

IsEvenlyCovered.toTrivialization_apply

∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {f : E → X} {I : Type u_3}
  [inst_2 : TopologicalSpace I] {x : E} [inst_3 : Nonempty I] (h : IsEvenlyCovered f (f x) I),
  (↑h.toTrivialization x).2 = ⟨x, ⋯⟩

Defined in

Mathlib.Topology.Covering.Basic

Cited by

1 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceNonempty