Theorems · Theorem · category theory

CategoryTheory.AddGrpObj.left_neg

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

Defined in

Mathlib.CategoryTheory.Monoidal.Grp

Cited by

6 results in Mathlib

Foundations

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

Assumes

CategoryTheory.AddGrpObj