Theorems · Theorem · general topology
Topology.IsOpenEmbedding.accPt_comap_iff
∀ {X : Type u_1} {Y : Type u_2} {f : X → Y} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y],
Topology.IsOpenEmbedding f → ∀ {x : X} {l : Filter Y}, AccPt x (Filter.comap f l) ↔ AccPt (f x) l- Defined in
- Mathlib.Topology.Maps.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- Filterstatement and proof · cited by 8,121
- Set.preimageproof · cited by 4,946
- Compl.complproof · cited by 2,925
- Filter.principalproof · cited by 740
- Filter.comapstatement and proof · cited by 546
- Topology.IsOpenEmbeddingstatement and proof · cited by 231
- Set.image_singletonproof · cited by 174
- ClusterPtproof · cited by 138
- Topology.IsEmbedding.injectiveproof · cited by 103
- AccPtstatement and proof · cited by 75
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.isClosedBelow_iffproof · cited by 2
- Ordinal.accPt_subtypeproof · cited by 0