Theorems · Theorem · algebraic topology
Topology.IsQuotientMap.isQuotientCoveringMap_of_isDiscrete_ker_monoidHom
∀ {E : Type u_1} {X : Type u_2} [inst : TopologicalSpace E] [inst_1 : TopologicalSpace X] [inst_2 : Group E]
[IsTopologicalGroup E] [inst_4 : Group X] {f : E →* X},
Topology.IsQuotientMap ⇑f → IsDiscrete ↑f.ker → IsQuotientCoveringMap ⇑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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- SetLike.coestatement and proof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement · cited by 3,593
- map_mulproof · cited by 1,137
- IsTopologicalGroupstatement and proof · cited by 469
- MonoidHom.kerstatement and proof · cited by 212
- Topology.IsQuotientMapstatement and proof · cited by 124
- map_invproof · cited by 95
- IsDiscretestatement and proof · cited by 86
Cited by1
Results whose statement or proof uses this declaration.
- Circle.isQuotientCoveringMap_zpowproof · cited by 1