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Theorems · Definition · category theory

CategoryTheory.Limits.codiag

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    (X : C) → [inst_1 : CategoryTheory.Limits.HasBinaryCoproduct X X] → X ⨿ X ⟶ X

codiagonal arrow of the binary coproduct

Defined in
Mathlib.CategoryTheory.Limits.Shapes.BinaryProducts
Cited by
13 results in Mathlib
Foundations
Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasBinaryCoproduct
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Dashed lines are statement dependencies; solid lines are citations in proofs.

HomotopicalAlgebra.Cylinder.ofFactorizationData · cited by 6Cylinder.ofFactorizationD…HomotopicalAlgebra.Cylinder.exists_very_good · cited by 2Cylinder.exists_very_goodCategoryTheory.Limits.coprod.map_codiag · cited by 1coprod.map_codiagCategoryTheory.Limits.coprod.map_comp_inl_inr_codiag · cited by 1coprod.map_comp_inl_inr_c…CategoryTheory.Limits.coprod.map_inl_inr_codiag · cited by 1coprod.map_inl_inr_codiagHomotopicalAlgebra.Cylinder.ofFactorizationData_i₀ · cited by 1Cylinder.ofFactorizationD…HomotopicalAlgebra.Cylinder.ofFactorizationData_i₁ · cited by 1Cylinder.ofFactorizationD…CategoryTheory.Limits.coprod.map_codiag_assoc · cited by 0coprod.map_codiag_assocCategoryTheory.Limits.coprod.map_comp_inl_inr_codiag_assoc · cited by 0coprod.map_comp_inl_inr_c…CategoryTheory.Limits.coprod.map_inl_inr_codiag_assoc · cited by 0coprod.map_inl_inr_codiag…HomotopicalAlgebra.Cylinder.ofFactorizationData_I · cited by 0Cylinder.ofFactorizationD…HomotopicalAlgebra.Cylinder.ofFactorizationData_i · cited by 0Cylinder.ofFactorizationD…HomotopicalAlgebra.Cylinder.ofFactorizationData_π · cited by 0Cylinder.ofFactorizationD…CategoryTheory.Limits.coprod.diag_comp · cited by 0coprod.diag_compCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.Limits.coprod · cited by 252Limits.coprodCategoryTheory.Limits.HasBinaryCoproduct · cited by 81Limits.HasBinaryCoproductCategoryTheory.Limits.coprod.desc · cited by 69coprod.descLimits.codiagCITED BYCITES

Cites6

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Cited by14

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