Theorems · Theorem · category theory
CategoryTheory.Comma.comp_right
∀ {B : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} B] {A : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} A]
{T : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} T] {R : CategoryTheory.Functor B T}
{L : CategoryTheory.Functor A T} {X Y Z : CategoryTheory.Comma L R} {f : Y ⟶ X} {g : Z ⟶ Y},
(CategoryTheory.CategoryStruct.comp g f).right = CategoryTheory.CategoryStruct.comp g.right f.right- Defined in
- Mathlib.CategoryTheory.Comma.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.compstatement · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Comma.rightstatement · cited by 727
- CategoryTheory.Commastatement and proof · cited by 566
- CategoryTheory.CommaMorphism.rightstatement · cited by 391
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Comma.inv_rightproof · cited by 0