Theorems · Theorem · algebraic topology
Subgroup.isQuotientCoveringMap
∀ {G : Type u_4} [inst : Group G] [inst_1 : TopologicalSpace G] [IsTopologicalGroup G] (S : Subgroup G),
IsDiscrete ↑S → IsQuotientCoveringMap QuotientGroup.mk ↥S.op- Defined in
- Mathlib.Topology.Covering.Quotient
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- SetLike.coestatement and proof · cited by 8,199
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- HasQuotient.Quotientstatement · cited by 2,301
- MulOppositestatement · cited by 1,135
- IsTopologicalGroupstatement and proof · cited by 469
- QuotientGroup.mkstatement · cited by 196
- IsDiscretestatement and proof · cited by 86
- Subgroup.opstatement · cited by 58
- IsQuotientCoveringMapstatement · cited by 53
- Quotient.eq''proof · cited by 44
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