Theorems · Definition · category theory
HomotopicalAlgebra.RightHomotopyRel
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] → [HomotopicalAlgebra.CategoryWithWeakEquivalences C] → HomRel CThe right homotopy relation on morphisms in a category with weak equivalences.
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- HomotopicalAlgebra.CategoryWithWeakEquivalencesstatement and proof · cited by 77
- HomRelstatement · cited by 49
- HomotopicalAlgebra.PathObjectproof · cited by 32
- HomotopicalAlgebra.PathObject.RightHomotopyproof · cited by 14
Cited by30
Results whose statement or proof uses this declaration.
- HomotopicalAlgebra.BifibrantObject.homRelproof · cited by 22
- HomotopicalAlgebra.CofibrantObject.homRelproof · cited by 20
- HomotopicalAlgebra.RightHomotopyClass.mkproof · cited by 17
- HomotopicalAlgebra.RightHomotopyClassproof · cited by 16
- HomotopicalAlgebra.RightHomotopyClass.mk_eq_mk_iffstatement · cited by 5
- HomotopicalAlgebra.leftHomotopyClassEquivRightHomotopyClassproof · cited by 4
- HomotopicalAlgebra.BifibrantObject.HoCat.homEquivRightproof · cited by 4
- HomotopicalAlgebra.PathObject.RightHomotopy.rightHomotopyRelstatement · cited by 3
- HomotopicalAlgebra.RightHomotopyRel.exists_good_pathObjectstatement and proof · cited by 3
- HomotopicalAlgebra.RightHomotopyRel.exists_very_good_pathObjectstatement and proof · cited by 3
- HomotopicalAlgebra.leftHomotopyRel_iff_rightHomotopyRelstatement and proof · cited by 2
- HomotopicalAlgebra.CofibrantObject.homRel_iff_rightHomotopyRelstatement · cited by 2