Theorems · Theorem · general topology
SeparationQuotient.isOpenMap_mk
∀ {X : Type u_1} [inst : TopologicalSpace X], IsOpenMap SeparationQuotient.mk- Defined in
- Mathlib.Topology.Inseparable
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- IsOpenproof · cited by 2,400
- IsOpenMapstatement · cited by 253
- SeparationQuotientstatement · cited by 128
- SeparationQuotient.mkstatement · cited by 94
- Topology.IsQuotientMap.isCoinducingproof · cited by 35
- Topology.IsCoinducing.isOpen_preimageproof · cited by 15
- SeparationQuotient.preimage_image_mk_openproof · cited by 2
- SeparationQuotient.isQuotientMap_mkproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- SeparationQuotient.isInducing_mkproof · cited by 7
- SeparationQuotient.isOpenQuotientMap_mkproof · cited by 1
- SeparationQuotient.preimage_mk_interiorproof · cited by 0
- SeparationQuotient.preimage_mk_closureproof · cited by 0
- SeparationQuotient.preimage_mk_frontierproof · cited by 0