Theorems · Theorem · category theory
CategoryTheory.Arrow.RightHomotopy.ext
∀ {V : Type u_1} {inst : CategoryTheory.Category.{v_1, u_1} V} {inst_1 : CategoryTheory.Preadditive V}
{u v : CategoryTheory.Arrow V} {f g : u ⟶ v} {x y : CategoryTheory.Arrow.RightHomotopy f g}, x.hom = y.hom → x = y- Cited by
- 1 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.Arrowstatement and proof · cited by 713
- CategoryTheory.Arrow.leftstatement and proof · cited by 426
- CategoryTheory.Arrow.rightstatement and proof · cited by 423
- CategoryTheory.Arrow.homproof · cited by 335
- CategoryTheory.Arrow.Hom.rightproof · cited by 176
- CategoryTheory.Arrow.RightHomotopystatement and proof · cited by 22
- CategoryTheory.Arrow.RightHomotopy.homstatement and proof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Arrow.RightHomotopy.ext_iffproof · cited by 0