Mathlib Map

Theorems · Definition · general topology

SeparationQuotient.map

{α : Type u} →
  {β : Type v} →
    [inst : UniformSpace α] → [inst_1 : UniformSpace β] → (α → β) → SeparationQuotient α → SeparationQuotient β

The 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.

Cited by5

Results whose statement or proof uses this declaration.