Theorems · Theorem · category theory
UniformSpaceCat.Hom.mk.inj
∀ {X : UniformSpaceCat} {Y : UniformSpaceCat} {hom' hom'_1 : { f // UniformContinuous f }},
{ hom' := hom' } = { hom' := hom'_1 } → hom' = hom'_1- Defined in
- Mathlib.Topology.Category.UniformSpace
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- UniformContinuousstatement and proof · cited by 410
- UniformSpaceCatstatement and proof · cited by 20
- UniformSpaceCat.carrierstatement and proof · cited by 20
- UniformSpaceCat.Homstatement · cited by 5
- UniformSpaceCat.Hom.mk.noConfusionproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- UniformSpaceCat.Hom.mk.injEqproof · cited by 0