Theorems · Theorem · category theory

CategoryTheory.Linear.comp_units_smul

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C] {R : Type w}
  [inst_2 : Semiring R] [inst_3 : CategoryTheory.Linear R C] {X Y Z : C} (f : X ⟶ Y) (r : Rˣ) (g : Y ⟶ Z),
  CategoryTheory.CategoryStruct.comp f (r • g) = r • CategoryTheory.CategoryStruct.comp f g

Defined in

Mathlib.CategoryTheory.Linear.Basic

Cited by

37 results in Mathlib

Foundations

Depth 9 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveSemiringCategoryTheory.Linear