Theorems · Theorem · category theory

CategoryTheory.CartesianMonoidalCategory.whiskerLeft_fst

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

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Basic

Cited by

24 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategory