Theorems · Definition · category theory
TopPair.Homotopy.snd
{X Y : TopPair} → {f g : X ⟶ Y} → TopPair.Homotopy f g → TopCat.Homotopy (TopPair.Hom.snd f) (TopPair.Hom.snd g)The homotopy on the second space.
- Defined in
- Mathlib.Topology.Category.TopPair
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Top.topstatement · cited by 9,680
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- TopCatstatement · cited by 1,889
- TopCat.isEmbeddingstatement · cited by 67
- TopPairstatement and proof · cited by 67
- TopPair.sndstatement · cited by 21
- TopPair.Homotopystatement and proof · cited by 19
- TopCat.Homotopystatement · cited by 18
- TopPair.Hom.sndstatement · cited by 16
Cited by15
Results whose statement or proof uses this declaration.
- TopPair.Homotopy.symmproof · cited by 6
- TopPair.Homotopy.transproof · cited by 4
- TopPair.Homotopy.extstatement and proof · cited by 3
- TopPair.Homotopy.compproof · cited by 2
- TopPair.Homotopy.wstatement · cited by 2
- TopPair.Homotopy.symm_sndstatement and proof · cited by 1
- TopPair.Homotopy.symm_symmproof · cited by 1
- TopPair.Homotopy.w_applystatement and proof · cited by 1
- TopPair.Homotopy.comp_sndstatement and proof · cited by 0
- TopPair.Homotopy.ext_iffstatement and proof · cited by 0
- TopPair.Homotopy.refl_sndstatement and proof · cited by 0
- TopPair.Homotopy.symm_transproof · cited by 0