Theorems · Theorem · general topology
isUniformInducing_iff_uniformSpace
∀ {α : Type u} {β : Type v} [inst : UniformSpace α] [inst_1 : UniformSpace β] {f : α → β},
IsUniformInducing f ↔ UniformSpace.comap f inst_1 = inst- Cited by
- 3 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpaceUniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- UniformSpacestatement and proof · cited by 2,040
- uniformityproof · cited by 765
- Filter.comapproof · cited by 546
- IsUniformInducingstatement · cited by 128
- UniformSpace.comapstatement and proof · cited by 61
- Filter.ext_iffproof · cited by 6
- isUniformInducing_iffproof · cited by 5
- UniformSpace.ext_iffproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- IsUniformInducing.comap_uniformSpaceproof · cited by 4
- EquicontinuousOn.isUniformInducing_uniformOnFun_iff_pi'proof · cited by 1
- Equicontinuous.isUniformInducing_uniformFun_iff_piproof · cited by 0