Theorems · Theorem · Lie groups
QuotientGroup.isOpenQuotientMap_mk
∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : Group G] [SeparatelyContinuousMul G] {N : Subgroup G},
IsOpenQuotientMap QuotientGroup.mk- Defined in
- Mathlib.Topology.Algebra.Group.Quotient
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- HasQuotient.Quotientstatement · cited by 2,301
- QuotientGroup.mkstatement · cited by 196
- SeparatelyContinuousMulstatement and proof · cited by 133
- IsOpenQuotientMapstatement · cited by 65
- MulAction.isOpenQuotientMap_quotientMkproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- QuotientGroup.dense_preimage_mkproof · cited by 1
- QuotientGroup.nhds_eqproof · cited by 1