Theorems · Theorem · general topology
SeparationQuotient.isClosedMap_mk
∀ {X : Type u_1} [inst : TopologicalSpace X], IsClosedMap SeparationQuotient.mk- Defined in
- Mathlib.Topology.Inseparable
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 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
- IsClosedproof · cited by 1,639
- IsClosedMapstatement · cited by 138
- SeparationQuotientstatement and proof · cited by 128
- SeparationQuotient.mkstatement · cited by 94
- isClosed_univproof · cited by 43
- SeparationQuotient.isInducing_mkproof · cited by 7
- Topology.IsInducing.isClosedMapproof · cited by 2
- SeparationQuotient.range_mkproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- SeparationQuotient.image_mk_closureproof · cited by 0