Theorems · Theorem · general topology
UniformSpace.Completion.continuous_map
∀ {α : Type u_1} [inst : UniformSpace α] {β : Type u_2} [inst_1 : UniformSpace β] {f : α → β},
Continuous (UniformSpace.Completion.map f)- Defined in
- Mathlib.Topology.UniformSpace.Completion
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 95 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Continuousstatement · cited by 2,592
- UniformSpacestatement and proof · cited by 2,040
- UniformSpace.Completionstatement · cited by 192
- UniformSpace.Completion.mapstatement · cited by 23
- UniformSpace.Completion.cPkgproof · cited by 23
- AbstractCompletion.continuous_mapproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- AddMonoidHom.continuous_completionproof · cited by 2
- UniformSpace.Completion.extension_mapproof · cited by 1
- NumberField.LiesOver.continuous_completionMapproof · cited by 0
- Isometry.isometry_mapRingHomproof · cited by 0
- UniformSpace.Completion.map_smul_eq_mul_coeproof · cited by 0