Theorems · Theorem · category theory
CategoryTheory.Arrow.RightHomotopy.ext_iff
∀ {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 = y ↔ x.hom = y.hom- Cited by
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- Foundations
- Depth 20 from the axioms · uses no axioms
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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.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.Arrowstatement and proof · cited by 713
- CategoryTheory.Arrow.leftstatement · cited by 426
- CategoryTheory.Arrow.rightstatement · cited by 423
- CategoryTheory.Arrow.RightHomotopystatement and proof · cited by 22
- CategoryTheory.Arrow.RightHomotopy.homstatement and proof · cited by 15
- CategoryTheory.Arrow.RightHomotopy.extproof · cited by 1
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