Theorems · Theorem · algebraic topology

Topology.IsQuotientMap.isAddQuotientCoveringMap_of_isDiscrete_ker_addMonoidHom

∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] [inst_2 : AddGroup E]
  [IsTopologicalAddGroup E] [inst_4 : AddGroup X] {f : E →+ X},
  Topology.IsQuotientMap ⇑f → IsDiscrete ↑f.ker → IsAddQuotientCoveringMap ⇑f ↥f.ker

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

TopologicalSpaceTopologicalSpaceAddGroupIsTopologicalAddGroupAddGroup