Theorems · Theorem · category theory

CategoryTheory.GrpObj.ofRepresentableBy_yonedaGrpObjRepresentableBy

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C] (G : C)
  [inst_2 : CategoryTheory.GrpObj G],
  CategoryTheory.GrpObj.ofRepresentableBy G (CategoryTheory.yonedaGrpObj G)
      (CategoryTheory.yonedaGrpObjRepresentableBy 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.GrpObj

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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.MonObj.mulproof · cited by 230
CategoryTheory.GrpObjstatement and proof · cited by 99
CategoryTheory.CartesianMonoidalCategory.lift_fst_sndproof · cited by 10
CategoryTheory.yonedaGrpObjstatement and proof · cited by 9
CategoryTheory.GrpObj.ofRepresentableBystatement and proof · cited by 4
CategoryTheory.MonObj.extproof · cited by 3

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