Theorems · Theorem · category theory

CategoryTheory.CartesianMonoidalCategory.lift_fst

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

Defined in

Mathlib.CategoryTheory.Monoidal.Cartesian.Basic

Cited by

36 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategory