Theorems · Theorem · Lie groups
QuotientAddGroup.isOpenMap_coe
∀ {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [SeparatelyContinuousAdd G] {N : AddSubgroup G},
IsOpenMap QuotientAddGroup.mk- Defined in
- Mathlib.Topology.Algebra.Group.Quotient
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 77 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
- IsOpenMapstatement · cited by 253
- SeparatelyContinuousAddstatement and proof · cited by 83
- isOpenMap_quotient_mk'_addproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Submodule.isOpenMap_mkQproof · cited by 0
- QuotientRing.isOpenMap_coeproof · cited by 0