Theorems · Theorem · category theory
TopPair.Homotopy.symm_symm
∀ {X Y : TopPair} {f₀ f₁ : X ⟶ Y} (F : TopPair.Homotopy f₀ f₁), F.symm.symm = F- Defined in
- Mathlib.Topology.Category.TopPair
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- Top.topstatement · cited by 9,680
- Set.Elemproof · cited by 7,166
- CategoryTheory.Functor.idstatement · cited by 3,333
- TopCat.carrierproof · cited by 3,184
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- TopCatstatement · cited by 1,889
- unitIntervalproof · cited by 607
- TopPairstatement and proof · cited by 67
- TopCat.isEmbeddingstatement · cited by 67
- TopPair.fstproof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- TopPair.Homotopy.symm_bijectiveproof · cited by 0