Theorems · Theorem · category theory
CategoryTheory.Limits.coprod.inr_desc
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {W X Y : C}
[inst_1 : CategoryTheory.Limits.HasBinaryCoproduct X Y] (f : X ⟶ W) (g : Y ⟶ W),
CategoryTheory.CategoryStruct.comp CategoryTheory.Limits.coprod.inr (CategoryTheory.Limits.coprod.desc f g) = g- Cited by
- 10 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- CategoryTheory.Limits.coprodstatement · cited by 252
- CategoryTheory.Limits.colimit.ι_descproof · cited by 170
- CategoryTheory.Limits.coprod.inrstatement · cited by 132
- CategoryTheory.Limits.BinaryCofan.mkproof · cited by 83
- CategoryTheory.Limits.HasBinaryCoproductstatement and proof · cited by 81
- CategoryTheory.Limits.coprod.descstatement · cited by 69
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.coprodComparison_inrproof · cited by 3
- AlgebraicGeometry.coprodSpec_inrproof · cited by 2
- CategoryTheory.coprod_inr_leftDistrib_homproof · cited by 2
- CategoryTheory.coprod_inr_rightDistrib_homproof · cited by 2
- CategoryTheory.Limits.coprod.inr_desc_assocproof · cited by 2
- AlgebraicGeometry.coprodSpec_coprodMkproof · cited by 1
- CategoryTheory.NormalEpiCategory.hasColimit_parallelPairproof · cited by 0
- HomotopicalAlgebra.LeftHomotopyRel.precompproof · cited by 0