Theorems · Theorem · algebraic topology

IsEvenlyCovered.restrictPreimage

∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {f : E → X} (s : Set X)
  {I : Type u_3} [inst_2 : TopologicalSpace I] {x : X} (hxs : x ∈ s),
  IsEvenlyCovered f x I → IsEvenlyCovered (s.restrictPreimage f) ⟨x, hxs⟩ I

Defined in

Mathlib.Topology.Covering.Basic

Cited by

1 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace