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Theorems · Definition · category theory

CategoryTheory.Limits.pointwiseBinaryBicone

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
      [CategoryTheory.Limits.HasBinaryBiproducts C] →
        {D : Type u_2} →
          [inst_3 : CategoryTheory.Category.{v_2, u_2} D] →
            (F G : CategoryTheory.Functor D C) → CategoryTheory.Limits.BinaryBicone F G

The binary bicone associated to the biproduct of functors F and G

Defined in
Mathlib.CategoryTheory.Limits.FunctorCategory.BinaryBiproducts
Cited by
9 results in Mathlib
Foundations
Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.Limits.HasBinaryBiproductsCategoryTheory.Category

Around this declaration

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CategoryTheory.Limits.pointwiseBinaryBicone.isBilimit · cited by 2pointwiseBinaryBicone.isB…CategoryTheory.Limits.pointwiseBinaryBiproductData · cited by 1Limits.pointwiseBinaryBip…CategoryTheory.Limits.pointwiseBinaryBicone_fst_app · cited by 0Limits.pointwiseBinaryBic…CategoryTheory.Limits.pointwiseBinaryBicone_inl_app · cited by 0Limits.pointwiseBinaryBic…CategoryTheory.Limits.pointwiseBinaryBicone_inr_app · cited by 0Limits.pointwiseBinaryBic…CategoryTheory.Limits.pointwiseBinaryBicone_pt_map · cited by 0Limits.pointwiseBinaryBic…CategoryTheory.Limits.pointwiseBinaryBicone_pt_obj · cited by 0Limits.pointwiseBinaryBic…CategoryTheory.Limits.pointwiseBinaryBicone_snd_app · cited by 0Limits.pointwiseBinaryBic…CategoryTheory.Limits.pointwiseBinaryBiproductData_bicone · cited by 0Limits.pointwiseBinaryBip…CategoryTheory.Limits.pointwiseBinaryBicone.isBilimit_isColimit · cited by 0pointwiseBinaryBicone.isB…CategoryTheory.Limits.pointwiseBinaryBicone.isBilimit_isLimit · cited by 0pointwiseBinaryBicone.isB…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.map · cited by 8698Functor.mapCategoryTheory.Limits.HasZeroMorphisms · cited by 3275Limits.HasZeroMorphismsCategoryTheory.Limits.biprod · cited by 312Limits.biprodCategoryTheory.Limits.HasBinaryBiproducts · cited by 165Limits.HasBinaryBiproductsCategoryTheory.Limits.biprod.snd · cited by 132biprod.sndCategoryTheory.Limits.biprod.inl · cited by 127biprod.inlCategoryTheory.Limits.biprod.fst · cited by 121biprod.fstCategoryTheory.Limits.BinaryBicone · cited by 111Limits.BinaryBiconeCategoryTheory.Limits.biprod.inr · cited by 109biprod.inrCategoryTheory.Limits.biprod.map · cited by 27biprod.mapLimits.pointwiseBinaryBiconeCITED BYCITES

Cites14

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Cited by11

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