Theorems · Theorem · category theory
CategoryTheory.AddGrpObj.lift_addConj_eq_add_add_neg_assoc
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] {X G : C}
[inst_2 : CategoryTheory.AddGrpObj G] (f₁ f₂ : X ⟶ G) {Z : C} (h : G ⟶ Z),
CategoryTheory.CategoryStruct.comp (CategoryTheory.CartesianMonoidalCategory.lift f₁ f₂)
(CategoryTheory.CategoryStruct.comp (CategoryTheory.AddGrpObj.addConj G) h) =
CategoryTheory.CategoryStruct.comp (f₁ + f₂ + -f₁) h- Cited by
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- Foundations
- Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.CartesianMonoidalCategory.liftstatement and proof · cited by 160
- CategoryTheory.AddGrpObjstatement and proof · cited by 88
- CategoryTheory.Hom.addMonoidstatement · cited by 44
- CategoryTheory.Hom.addGroupstatement · cited by 25
- CategoryTheory.AddGrpObj.addConjstatement and proof · cited by 7
- CategoryTheory.AddGrpObj.lift_addConj_eq_add_add_negproof · cited by 2
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