Theorems · Theorem · category theory

CategoryTheory.MonObj.comp_pow

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v, u_1} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  {M X Y : C} [inst_2 : CategoryTheory.MonObj M] (f : X ⟶ M) (n : ℕ) (h : Y ⟶ X),
  CategoryTheory.CategoryStruct.comp h (f ^ n) = CategoryTheory.CategoryStruct.comp h f ^ n

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Mon

Cited by

2 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.MonObj