Theorems · Theorem · category theory
CategoryTheory.Limits.inr_opProdIsoCoprod_inv
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {A B : C}
[inst_1 : CategoryTheory.Limits.HasBinaryProduct A B],
CategoryTheory.CategoryStruct.comp CategoryTheory.Limits.coprod.inr (CategoryTheory.Limits.opProdIsoCoprod A B).inv =
CategoryTheory.Limits.prod.snd.op- Cited by
- 2 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Quiver.Hom.opstatement · cited by 1,948
- CategoryTheory.Limits.prodstatement · cited by 364
- CategoryTheory.Limits.coprodstatement and proof · cited by 252
- CategoryTheory.Limits.prod.sndstatement · cited by 185
- CategoryTheory.Limits.HasBinaryProductstatement and proof · cited by 169
- CategoryTheory.Limits.coprod.inrstatement and proof · cited by 132
- CategoryTheory.Iso.comp_inv_eqproof · cited by 41
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.opProdIsoCoprod_inv_inrproof · cited by 1
- CategoryTheory.Limits.inr_opProdIsoCoprod_inv_assocproof · cited by 0