Theorems · Definition · category theory
TopCat.Homotopy.refl
{X Y : TopCat} → (f : X ⟶ Y) → (TopCat.Hom.hom f).Homotopy (TopCat.Hom.hom f)The identity homotopy of a morphism f : X ⟶ Y in TopCat.
- Defined in
- Mathlib.Topology.Homotopy.TopCat.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Quiver.Homstatement and proof · cited by 32,603
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement and proof · cited by 1,889
- TopCat.Hom.homstatement and proof · cited by 169
- ContinuousMap.Homotopystatement · cited by 65
- ContinuousMap.Homotopy.reflproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- TopPair.Homotopy.reflproof · cited by 3
- TopPair.Homotopy.refl_fststatement · cited by 0
- TopPair.Homotopy.refl_sndstatement · cited by 0
- TopCat.Homotopy.h_reflstatement · cited by 0