Theorems · Theorem · category theory
CategoryTheory.Center.comp_f
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
{X Y Z : CategoryTheory.Center C} (f : X ⟶ Y) (g : Y ⟶ Z),
(CategoryTheory.CategoryStruct.comp f g).f = CategoryTheory.CategoryStruct.comp f.f g.f- Defined in
- Mathlib.CategoryTheory.Monoidal.Center
- Cited by
- 3 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.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.HalfBraidingstatement · cited by 62
- CategoryTheory.Centerstatement and proof · cited by 58
- CategoryTheory.Center.Hom.fstatement · cited by 33
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.Center.associator_inv_fproof · cited by 0
- CategoryTheory.Center.rightUnitor_inv_fproof · cited by 0
- CategoryTheory.Center.leftUnitor_inv_fproof · cited by 0