Theorems · Theorem · Lie groups
QuotientAddGroup.isOpenQuotientMap_mk
∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [SeparatelyContinuousAdd G] {N : AddSubgroup G},
IsOpenQuotientMap QuotientAddGroup.mk- Defined in
- Mathlib.Topology.Algebra.Group.Quotient
- Cited by
- 4 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
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- HasQuotient.Quotientstatement · cited by 2,301
- QuotientAddGroup.mkstatement · cited by 348
- SeparatelyContinuousAddstatement and proof · cited by 83
- IsOpenQuotientMapstatement · cited by 65
- AddAction.isOpenQuotientMap_quotientMkproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- QuotientAddGroup.dense_preimage_mkproof · cited by 3
- QuotientAddGroup.nhds_eqproof · cited by 3
- Submodule.isOpenQuotientMap_mkQproof · cited by 1
- QuotientRing.isOpenQuotientMap_mkproof · cited by 1