Theorems · Theorem · category theory
TopPair.Homotopy.comp_snd
∀ {X Y Z : TopPair} {f₀ f₁ : X ⟶ Y} {g₀ g₁ : Y ⟶ Z} (G : TopPair.Homotopy g₀ g₁) (F : TopPair.Homotopy f₀ f₁),
(G.comp F).snd = G.snd.comp F.snd- Defined in
- Mathlib.Topology.Category.TopPair
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 127 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- Top.topstatement · cited by 9,680
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- TopCatstatement · cited by 1,889
- CategoryTheory.CommaMorphism.leftstatement · cited by 526
- CategoryTheory.MorphismProperty.Comma.toCommastatement · cited by 260
- CategoryTheory.MorphismProperty.Comma.Hom.toCommaMorphismstatement · cited by 142
- TopPairstatement and proof · cited by 67
- TopCat.isEmbeddingstatement · cited by 67
- TopPair.sndstatement · cited by 21
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.