Theorems · Theorem · category theory
CategoryTheory.Limits.snd_opProdIsoCoprod_hom
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {A B : C}
[inst_1 : CategoryTheory.Limits.HasBinaryProduct A B],
CategoryTheory.CategoryStruct.comp CategoryTheory.Limits.prod.snd.op (CategoryTheory.Limits.opProdIsoCoprod A B).hom =
CategoryTheory.Limits.coprod.inr- Cited by
- 2 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- Oppositestatement · cited by 8,081
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.Isoproof · cited by 3,963
- Opposite.unopproof · cited by 2,231
- Quiver.Hom.opstatement and proof · cited by 1,948
- Quiver.Hom.unopproof · cited by 903
- CategoryTheory.Limits.pairproof · cited by 536
- CategoryTheory.Limits.prodstatement and proof · cited by 364
- CategoryTheory.Limits.coprodstatement and proof · cited by 252
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.inr_opProdIsoCoprod_invproof · cited by 2
- CategoryTheory.Limits.snd_opProdIsoCoprod_hom_assocproof · cited by 0