Theorems · Theorem · general topology
AddAction.isOpenQuotientMap_quotientMk
∀ {Γ : Type u_4} [inst : AddGroup Γ] {T : Type u_5} [inst_1 : TopologicalSpace T] [inst_2 : AddAction Γ T]
[ContinuousConstVAdd Γ T], IsOpenQuotientMap (Quotient.mk (AddAction.orbitRel Γ T))- Defined in
- Mathlib.Topology.Algebra.ConstMulAction
- Cited by
- 2 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.
Cites9
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
- AddActionstatement and proof · cited by 820
- ContinuousConstVAddstatement and proof · cited by 97
- IsOpenQuotientMapstatement · cited by 65
- AddAction.orbitRelstatement · cited by 47
- Quot.mk_surjectiveproof · cited by 34
- continuous_quot_mkproof · cited by 11
- isOpenMap_quotient_mk'_addproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- QuotientAddGroup.isOpenQuotientMap_mkproof · cited by 4
- TopologicalAddGroup.IsSES.ofClosedAddSubgroupproof · cited by 0