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Theorems · Theorem · category theory

CategoryTheory.AddGrpObj.neg_eq_neg

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] {G : C}
  [inst_2 : CategoryTheory.AddGrpObj G], CategoryTheory.AddGrpObj.neg = -CategoryTheory.CategoryStruct.id G
Defined in
Mathlib.CategoryTheory.Monoidal.Cartesian.Grp
Cited by
1 results in Mathlib
Foundations
Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.AddGrpObj
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.AddGrpObj.zero_neg · cited by 1AddGrpObj.zero_negCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.Category.id_comp · cited by 1998Category.id_compCategoryTheory.CartesianMonoidalCategory · cited by 947CategoryTheory.CartesianM…CategoryTheory.AddGrpObj · cited by 88CategoryTheory.AddGrpObjCategoryTheory.AddGrpObj.neg · cited by 44AddGrpObj.negCategoryTheory.Hom.addGroup · cited by 25Hom.addGroupAddGrpObj.neg_eq_negCITED BYCITES

Cites8

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Cited by1

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