Theorems · Theorem · category theory

CategoryTheory.CartesianMonoidalCategory.associator_inv_fst_fst

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

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Basic

Cited by

7 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategory