Theorems · Theorem · algebraic topology

IsCoveringMapOn.of_isCoveringMap_subtype

∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {s : Set X},
  IsOpen s → ∀ {f : E → X} (h : ∀ (x : E), f x ∈ s), (IsCoveringMap fun x => ⟨f x, ⋯⟩) → IsCoveringMapOn f s

Defined in

Mathlib.Topology.Covering.Basic

Cited by

1 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace