Theorems · Theorem · category theory
CategoryTheory.CosimplicialObject.Augmented.hom_ext
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : CategoryTheory.CosimplicialObject.Augmented C}
(f g : X ⟶ Y), f.left = g.left → f.right = g.right → f = g- Cited by
- 1 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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.Functor.idstatement · cited by 3,333
- CategoryTheory.Comma.leftstatement · cited by 886
- CategoryTheory.Comma.rightstatement · cited by 727
- CategoryTheory.CommaMorphism.leftstatement and proof · cited by 526
- CategoryTheory.CommaMorphism.rightstatement and proof · cited by 391
- CategoryTheory.CosimplicialObjectstatement · cited by 125
- CategoryTheory.CosimplicialObject.Augmentedstatement and proof · cited by 72
- CategoryTheory.CosimplicialObject.conststatement · cited by 55
- CategoryTheory.Comma.hom_extproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.CosimplicialObject.Augmented.hom_ext_iffproof · cited by 0