Theorems · Theorem · general topology
CauchyFilter.denseRange_pureCauchy
∀ {α : Type u} [inst : UniformSpace α], DenseRange CauchyFilter.pureCauchy- Defined in
- Mathlib.Topology.UniformSpace.Completion
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 82 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.
Cites33
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Set.ofPredproof · cited by 6,101
- Set.rangeproof · cited by 4,705
- Set.Nonemptyproof · cited by 2,627
- UniformSpacestatement and proof · cited by 2,040
- SProd.sprodproof · cited by 1,750
- Filter.NeBotproof · cited by 853
- uniformityproof · cited by 765
- Filter.principalproof · cited by 740
- Set.mem_range_selfproof · cited by 328
- Set.inter_commproof · cited by 291
- DenseRangestatement · cited by 164
Cited by5
Results whose statement or proof uses this declaration.
- UniformSpace.Completion.denseRange_coeproof · cited by 9
- CauchyFilter.isDenseEmbedding_pureCauchyproof · cited by 1
- CauchyFilter.extend_pureCauchyproof · cited by 0
- CauchyFilter.uniformContinuous_extendproof · cited by 0
- CauchyFilter.isDenseInducing_pureCauchyproof · cited by 0