Theorems · Theorem · category theory
CategoryTheory.Limits.opProdIsoCoprod_inv_inr
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {A B : C}
[inst_1 : CategoryTheory.Limits.HasBinaryProduct A B],
CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.opProdIsoCoprod A B).inv.unop
CategoryTheory.Limits.coprod.inr.unop =
CategoryTheory.Limits.prod.snd- Cited by
- 1 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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 · cited by 17,999
- Oppositestatement · cited by 8,081
- CategoryTheory.Iso.invstatement · cited by 6,514
- Opposite.unopstatement and proof · cited by 2,231
- Quiver.Hom.unopstatement and proof · cited by 903
- CategoryTheory.Limits.prodstatement and proof · cited by 364
- CategoryTheory.Limits.coprodstatement · cited by 252
- CategoryTheory.Limits.prod.sndstatement and proof · cited by 185
- CategoryTheory.Limits.HasBinaryProductstatement and proof · cited by 169
- CategoryTheory.Limits.coprod.inrstatement · cited by 132
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.opProdIsoCoprod_inv_inr_assocproof · cited by 0