Theorems · Theorem · algebraic topology

IsEvenlyCovered.of_trivialization

∀ {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] [DiscreteTopology I] {x : X} {t : Bundle.Trivialization I f},
  x ∈ t.baseSet → IsEvenlyCovered f x I

Defined in

Mathlib.Topology.Covering.Basic

Cited by

2 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceDiscreteTopology