Theorems · Theorem · category theory
TopPair.Homotopy.refl_fst
∀ {X Y : TopPair} (f : X ⟶ Y), (TopPair.Homotopy.refl f).fst = TopCat.Homotopy.refl (TopPair.Hom.fst f)- Defined in
- Mathlib.Topology.Category.TopPair
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- TopCat.carrierstatement · cited by 3,184
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- TopCatstatement · cited by 1,889
- TopCat.Hom.homstatement · cited by 169
- TopPairstatement and proof · cited by 67
- TopCat.isEmbeddingstatement · cited by 67
- ContinuousMap.Homotopystatement · cited by 65
- TopPair.fststatement · cited by 21
- TopPair.Hom.fststatement · cited by 16
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.