Theorems · Definition · category theory
CategoryTheory.Limits.coprod.inl
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{X Y : C} → [inst_1 : CategoryTheory.Limits.HasBinaryCoproduct X Y] → X ⟶ X ⨿ YThe inclusion map from the first component of the coproduct.
- Cited by
- 137 results in Mathlib
- Foundations
- Depth 24 from the axioms, rests on 137 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.Limits.pairproof · cited by 536
- CategoryTheory.Limits.colimit.ιproof · cited by 397
- CategoryTheory.Limits.coprodstatement · cited by 252
- CategoryTheory.Limits.HasBinaryCoproductstatement and proof · cited by 81
Cited by162
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.coprodComparisonproof · cited by 22
- CategoryTheory.Limits.coprod.hom_extstatement and proof · cited by 21
- CategoryTheory.Limits.opProdIsoCoprodproof · cited by 16
- CategoryTheory.coprodMonadproof · cited by 15
- CategoryTheory.Limits.coprodIsCoprodstatement · cited by 11
- CategoryTheory.Limits.coprod.inl_mapstatement · cited by 11
- CategoryTheory.Limits.coprod.braidingproof · cited by 10
- CategoryTheory.Limits.coprod.inl_descstatement · cited by 10
- HomotopicalAlgebra.Cylinder.ofFactorizationDataproof · cited by 6
- CategoryTheory.Limits.pushoutZeroZeroIsoproof · cited by 5
- HomotopicalAlgebra.Precylinder.inl_istatement · cited by 5
- CategoryTheory.algebraToUnderproof · cited by 5