Theorems · Theorem · category theory
CategoryTheory.SemiadditiveOfBinaryBiproducts.comp_add
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
[inst_2 : CategoryTheory.Limits.HasBinaryBiproducts C] {X Y Z : C} (f : X ⟶ Y) (g h : Y ⟶ Z),
CategoryTheory.CategoryStruct.comp f (g + h) =
CategoryTheory.CategoryStruct.comp f g + CategoryTheory.CategoryStruct.comp f h- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.CategoryStructproof · cited by 343
- CategoryTheory.Limits.biprodproof · cited by 312
- CategoryTheory.Limits.HasBinaryBiproductsstatement and proof · cited by 165
- CategoryTheory.Limits.biprod.sndproof · cited by 132
- CategoryTheory.Limits.biprod.fstproof · cited by 121
- CategoryTheory.Limits.biprod.liftproof · cited by 79
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