Theorems · Theorem · category theory

CategoryTheory.AddGrpObj.left_neg_assoc

∀ {C : Type u₁} {inst : CategoryTheory.Category.{v₁, u₁} C} {inst_1 : CategoryTheory.CartesianMonoidalCategory C}
  (X : C) [self : CategoryTheory.AddGrpObj X] {Z : C} (h : X ⟶ Z),
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.CartesianMonoidalCategory.lift CategoryTheory.AddGrpObj.neg (CategoryTheory.CategoryStruct.id X))
      (CategoryTheory.CategoryStruct.comp CategoryTheory.AddMonObj.add h) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.SemiCartesianMonoidalCategory.toUnit X)
      (CategoryTheory.CategoryStruct.comp CategoryTheory.AddMonObj.zero h)

Defined in

Mathlib.CategoryTheory.Monoidal.Grp

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.AddGrpObj