Theorems · Theorem · general topology
CauchyFilter.monotone_gen
∀ {α : Type u} [inst : UniformSpace α], Monotone CauchyFilter.gen- Defined in
- Mathlib.Topology.UniformSpace.Completion
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 63 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
- Monotonestatement · cited by 1,397
- SetRelstatement · cited by 581
- CauchyFilterstatement and proof · cited by 19
- CauchyFilter.genstatement · cited by 6
- Set.monotone_ofPredproof · cited by 2
- Filter.monotone_memproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- CauchyFilter.denseRange_pureCauchyproof · cited by 5
- CauchyFilter.mem_uniformityproof · cited by 1
- CauchyFilter.basis_uniformityproof · cited by 1