Theorems · Theorem · category theory
CategoryTheory.Preadditive.isColimitCoforkOfCokernelCofork_desc
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C] {X Y : C} {f g : X ⟶ Y}
{c : CategoryTheory.Limits.CokernelCofork (f - g)} (i : CategoryTheory.Limits.IsColimit c)
(s : CategoryTheory.Limits.Cofork f g),
(CategoryTheory.Preadditive.isColimitCoforkOfCokernelCofork i).desc s =
i.desc (CategoryTheory.Preadditive.cokernelCoforkOfCofork s)- Defined in
- Mathlib.CategoryTheory.Preadditive.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.Limits.Cocone.ptstatement · cited by 1,354
- CategoryTheory.Limits.WalkingParallelPairstatement · cited by 781
- CategoryTheory.Limits.IsColimitstatement and proof · cited by 773
- CategoryTheory.Limits.parallelPairstatement · cited by 766
- CategoryTheory.Limits.IsColimit.descstatement · cited by 144
- CategoryTheory.Limits.CokernelCoforkstatement and proof · cited by 108
- CategoryTheory.Limits.Coforkstatement and proof · cited by 80
- CategoryTheory.Preadditive.coforkOfCokernelCoforkstatement · cited by 6
- CategoryTheory.Preadditive.cokernelCoforkOfCoforkstatement · cited by 5
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