Theorems · Theorem · general topology
CauchyFilter.isDenseEmbedding_pureCauchy
∀ {α : Type u} [inst : UniformSpace α], IsDenseEmbedding CauchyFilter.pureCauchy- Defined in
- Mathlib.Topology.UniformSpace.Completion
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- UniformSpacestatement and proof · cited by 2,040
- IsDenseEmbeddingstatement · cited by 24
- CauchyFilterstatement · cited by 19
- CauchyFilter.pureCauchystatement · cited by 9
- CauchyFilter.denseRange_pureCauchyproof · cited by 5
- IsUniformEmbedding.isDenseEmbeddingproof · cited by 4
- CauchyFilter.isUniformEmbedding_pureCauchyproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- CauchyFilter.nonempty_cauchyFilter_iffproof · cited by 0