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Theorems · Theorem · category theory

CategoryTheory.GrpObj.one_inv

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] {G : C}
  [inst_2 : CategoryTheory.GrpObj G],
  CategoryTheory.CategoryStruct.comp CategoryTheory.MonObj.one CategoryTheory.GrpObj.inv = CategoryTheory.MonObj.one
Defined in
Mathlib.CategoryTheory.Monoidal.Cartesian.Grp
Cited by
1 results in Mathlib
Foundations
Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.GrpObj
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Around this declaration

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

CategoryTheory.GrpObj.one_inv_assoc · cited by 0GrpObj.one_inv_assocCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.Category.comp_id · cited by 2119Category.comp_idCategoryTheory.MonoidalCategoryStruct.tensorUnit · cited by 1384MonoidalCategoryStruct.te…CategoryTheory.CartesianMonoidalCategory · cited by 947CategoryTheory.CartesianM…inv_one · cited by 301inv_oneCategoryTheory.MonObj.one · cited by 189MonObj.oneCategoryTheory.GrpObj · cited by 99CategoryTheory.GrpObjCategoryTheory.GrpObj.inv · cited by 50GrpObj.invCategoryTheory.GrpObj.comp_inv · cited by 10GrpObj.comp_invCategoryTheory.MonObj.one_eq_one · cited by 5MonObj.one_eq_oneCategoryTheory.GrpObj.inv_eq_inv · cited by 1GrpObj.inv_eq_invGrpObj.one_invCITED BYCITES

Cites14

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Cited by1

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