Theorems · Theorem · category theory
CategoryTheory.Limits.biprod.isoCoprod_inv
∀ {C : Type uC} [inst : CategoryTheory.Category.{uC', uC} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
{X Y : C} [inst_2 : CategoryTheory.Limits.HasBinaryBiproduct X Y],
(CategoryTheory.Limits.biprod.isoCoprod X Y).inv =
CategoryTheory.Limits.coprod.desc CategoryTheory.Limits.biprod.inl CategoryTheory.Limits.biprod.inr- Cited by
- 1 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
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 · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Iso.invstatement and proof · cited by 6,514
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.Limits.biprodstatement · cited by 312
- CategoryTheory.Limits.coprodstatement · cited by 252
- CategoryTheory.Limits.HasBinaryBiproductstatement and proof · cited by 251
- CategoryTheory.Limits.colimit.ι_descproof · cited by 170
- CategoryTheory.Limits.coprod.inlproof · cited by 137
- CategoryTheory.Limits.coprod.inrproof · cited by 132
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.biprod_isoCoprod_homproof · cited by 0