Theorems · Theorem · algebraic topology

Topology.IsQuotientMap.isQuotientCoveringMap_of_subgroup

∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {f : E → X},
  Topology.IsQuotientMap f →
    ∀ [inst_2 : Group E] [IsTopologicalGroup E] (G : Subgroup E),
      IsDiscrete ↑G → (∀ {e₁ e₂ : E}, f e₁ = f e₂ ↔ e₂ * e₁⁻¹ ∈ G) → IsQuotientCoveringMap f ↥G

Defined in

Mathlib.Topology.Covering.Quotient

Cited by

3 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceGroupIsTopologicalGroup