Theorems · Theorem · algebraic topology

Topology.IsQuotientMap.isAddQuotientCoveringMap_of_addSubgroupOp

∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] {f : E → X},
  Topology.IsQuotientMap f →
    ∀ [inst_2 : AddGroup E] [IsTopologicalAddGroup E] (G : AddSubgroup E),
      IsDiscrete ↑G → (∀ {e₁ e₂ : E}, f e₁ = f e₂ ↔ -e₁ + e₂ ∈ G) → IsAddQuotientCoveringMap f ↥G.op

Defined in

Mathlib.Topology.Covering.Quotient

Cited by

1 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceAddGroupIsTopologicalAddGroup