Theorems · Theorem · algebraic topology
Subgroup.isQuotientCoveringMap_of_comm
∀ {G : Type u_4} [inst : CommGroup G] [inst_1 : TopologicalSpace G] [IsTopologicalGroup G] (S : Subgroup G),
IsDiscrete ↑S → IsQuotientCoveringMap QuotientGroup.mk ↥S- Defined in
- Mathlib.Topology.Covering.Quotient
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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
- Subgroupstatement and proof · cited by 3,593
- HasQuotient.Quotientstatement · cited by 2,301
- mul_commproof · cited by 2,262
- CommGroupstatement and proof · cited by 990
- IsTopologicalGroupstatement and proof · cited by 469
- QuotientGroup.mkstatement · cited by 196
- IsDiscretestatement and proof · cited by 86
- IsQuotientCoveringMapstatement · cited by 53
- Quotient.eq''proof · cited by 44
- QuotientGroup.leftRel_applyproof · cited by 17
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