Theorems · Theorem · category theory

CategoryTheory.AddGrpObj.ofRepresentableBy_yonedaAddGrpObjRepresentableBy

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] (G : C)
  [inst_2 : CategoryTheory.AddGrpObj G],
  CategoryTheory.AddGrpObj.ofRepresentableBy G (CategoryTheory.yonedaAddGrpObj G)
      (CategoryTheory.yonedaAddGrpObjRepresentableBy G) =
    inst_2

Defined in: Mathlib.CategoryTheory.Monoidal.Cartesian.Grp
Cited by: 0 results in Mathlib
Foundations: Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.CartesianMonoidalCategory CategoryTheory.AddGrpObj

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homproof · cited by 32,603
CategoryTheory.CategoryStruct.compproof · cited by 17,999
CategoryTheory.MonoidalCategoryStruct.tensorObjproof · cited by 3,106
CategoryTheory.Category.id_compproof · cited by 1,998
CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
CategoryTheory.AddMonObj.addproof · cited by 134
CategoryTheory.AddGrpObjstatement and proof · cited by 88
CategoryTheory.CartesianMonoidalCategory.lift_fst_sndproof · cited by 10
CategoryTheory.yonedaAddGrpObjstatement and proof · cited by 9
CategoryTheory.AddGrpObj.ofRepresentableBystatement and proof · cited by 4
CategoryTheory.AddMonObj.extproof · cited by 3

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