Theorems · Theorem · category theory

CategoryTheory.yonedaMonObj_map

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v, u_1} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
  (M : C) [inst_2 : CategoryTheory.MonObj M] {X Y₂ : Cᵒᵖ} (φ : X ⟶ Y₂),
  (CategoryTheory.yonedaMonObj M).map φ =
    MonCat.ofHom { toFun := fun x => CategoryTheory.CategoryStruct.comp φ.unop x, map_one' := ⋯, map_mul' := ⋯ }

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Mon

Cited by

0 results in Mathlib

Foundations

Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.MonObj