Theorems · Theorem · category theory

CategoryTheory.CartesianMonoidalCategory.whiskerRight_fst_assoc

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] {X Y : C}
  (f : X ⟶ Y) (Z : C) {Z_1 : C} (h : Y ⟶ Z_1),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.MonoidalCategoryStruct.whiskerRight f Z)
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.SemiCartesianMonoidalCategory.fst Y Z) h) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.SemiCartesianMonoidalCategory.fst X Z)
      (CategoryTheory.CategoryStruct.comp f h)

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Basic

Cited by

5 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategory