Theorems · Definition · general topology
SeparationQuotient.map
{α : Type u} →
{β : Type v} →
[inst : UniformSpace α] → [inst_1 : UniformSpace β] → (α → β) → SeparationQuotient α → SeparationQuotient βThe separation quotient functor acting on functions.
- Defined in
- Mathlib.Topology.UniformSpace.Separation
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 87 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.
Cites4
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
- SeparationQuotientstatement · cited by 128
- SeparationQuotient.mkproof · cited by 94
- SeparationQuotient.lift'proof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- SeparationQuotient.map_mkstatement · cited by 2
- SeparationQuotient.map_uniquestatement · cited by 2
- SeparationQuotient.map_compstatement and proof · cited by 0
- SeparationQuotient.map_idstatement · cited by 0
- SeparationQuotient.uniformContinuous_mapstatement · cited by 0