Theorems · Theorem · category theory
CategoryTheory.Limits.coprod.diag_comp
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C}
[inst_1 : CategoryTheory.Limits.HasBinaryCoproduct X X] (f : X ⟶ Y),
CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.codiag X) f = CategoryTheory.Limits.coprod.desc f f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Category.id_compproof · cited by 1,998
- CategoryTheory.Limits.coprodstatement · cited by 252
- CategoryTheory.Limits.HasBinaryCoproductstatement and proof · cited by 81
- CategoryTheory.Limits.coprod.descstatement and proof · cited by 69
- CategoryTheory.Limits.coprod.desc_compproof · cited by 22
- CategoryTheory.Limits.codiagstatement · cited by 13
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