Theorems · Definition · category theory
CategoryTheory.Limits.coprod
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] → (X Y : C) → [CategoryTheory.Limits.HasBinaryCoproduct X Y] → CIf we have a coproduct of X and Y, we can access it using coprod X Y or X ⨿ Y.
- Cited by
- 252 results in Mathlib
- Foundations
- Depth 15 from the axioms, rests on 83 definitions · uses propext, Classical.choice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- CategoryTheory.Limits.pairproof · cited by 536
- CategoryTheory.Limits.colimitproof · cited by 453
- CategoryTheory.Limits.HasBinaryCoproductstatement and proof · cited by 81
Cited by310
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.coprod.inlstatement · cited by 137
- CategoryTheory.Limits.coprod.inrstatement · cited by 132
- CategoryTheory.Limits.coprod.descstatement · cited by 69
- CategoryTheory.Limits.coprod.mapstatement · cited by 49
- CategoryTheory.Limits.coprodComparisonstatement · cited by 22
- CategoryTheory.Limits.coprod.desc_compstatement · cited by 22
- CategoryTheory.Limits.coprod.hom_extstatement and proof · cited by 21
- CategoryTheory.Limits.opProdIsoCoprodstatement · cited by 16
- CategoryTheory.Limits.coprod.map_descstatement · cited by 16
- AlgebraicGeometry.Scheme.Hom.normalizationCoprodIsostatement · cited by 15
- HomotopicalAlgebra.Precylinder.istatement · cited by 13
- CategoryTheory.Limits.codiagstatement · cited by 13
Showing the 200 most cited of 310.