Theorems · Theorem · general topology
SeparationQuotient.comap_mk_nhds_mk
∀ {X : Type u_1} [inst : TopologicalSpace X] {x : X},
Filter.comap SeparationQuotient.mk (nhds (SeparationQuotient.mk x)) = nhds x- Defined in
- Mathlib.Topology.Inseparable
- Cited by
- 2 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.
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
- Filterstatement · cited by 8,121
- nhdsstatement · cited by 5,554
- Filter.comapstatement · cited by 546
- SeparationQuotientstatement · cited by 128
- SeparationQuotient.mkstatement · cited by 94
- Topology.IsInducing.nhds_eq_comapproof · cited by 39
- SeparationQuotient.isInducing_mkproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- SeparationQuotient.map_mk_nhdsproof · cited by 2
- SeparationQuotient.t2Space_iffproof · cited by 0