Theorems · Theorem · general topology
Topology.IsInducing.completelyNormalSpace
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [CompletelyNormalSpace Y]
{e : X → Y}, Topology.IsInducing e → CompletelyNormalSpace X- Defined in
- Mathlib.Topology.Separation.Regular
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Compl.complproof · cited by 2,925
- Disjointproof · cited by 2,201
- closureproof · cited by 1,254
- Topology.IsInducingstatement and proof · cited by 266
- Set.image_subset_iffproof · cited by 203
- Set.preimage_complproof · cited by 43
- Set.subset_compl_iff_disjoint_rightproof · cited by 17
- Topology.IsInducing.closure_eq_preimage_closure_imageproof · cited by 11
- CompletelyNormalSpacestatement and proof · cited by 9
- Set.subset_compl_iff_disjoint_leftproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- Topology.IsEmbedding.t5Spaceproof · cited by 1