Theorems · Theorem · category theory
TopPair.Homotopy.ext
∀ {X Y : TopPair} {f g : X ⟶ Y} {x y : TopPair.Homotopy f g}, x.fst = y.fst → x.snd = y.snd → x = y- Defined in
- Mathlib.Topology.Category.TopPair
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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.compproof · 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.MonoidalCategoryStruct.whiskerRightproof · cited by 903
- TopPairstatement and proof · cited by 67
- TopCat.isEmbeddingstatement · cited by 67
- TopCat.Iproof · cited by 64
- TopPair.fststatement · cited by 21
- TopPair.sndstatement · cited by 21
Cited by3
Results whose statement or proof uses this declaration.
- TopPair.Homotopy.symm_symmproof · cited by 1
- TopPair.Homotopy.ext_iffproof · cited by 0
- TopPair.Homotopy.symm_transproof · cited by 0