Theorems · Theorem · general topology
CauchyFilter.isUniformInducing_pureCauchy
∀ {α : Type u} [inst : UniformSpace α], IsUniformInducing CauchyFilter.pureCauchy- Defined in
- Mathlib.Topology.UniformSpace.Completion
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
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.
- Set.ofPredproof · cited by 6,101
- Set.preimageproof · cited by 4,946
- Set.extproof · cited by 2,266
- UniformSpacestatement and proof · cited by 2,040
- uniformityproof · cited by 765
- SetRelproof · cited by 581
- IsUniformInducingstatement · cited by 128
- Filter.lift'proof · cited by 99
- Prod.mk.etaproof · cited by 84
- Filter.prod_pureproof · cited by 30
- CauchyFilterstatement · cited by 19
- CauchyFilter.pureCauchystatement and proof · cited by 9
Cited by6
Results whose statement or proof uses this declaration.
- UniformSpace.Completion.isUniformInducing_coeproof · cited by 2
- CauchyFilter.isUniformEmbedding_pureCauchyproof · cited by 1
- IsUltraUniformity.cauchyFilter_iffproof · cited by 1
- CauchyFilter.extend_pureCauchyproof · cited by 0
- CauchyFilter.uniformContinuous_extendproof · cited by 0
- CauchyFilter.isDenseInducing_pureCauchyproof · cited by 0