Theorems · Theorem · category theory
CategoryTheory.Limits.prod.lift_snd
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {W X Y : C}
[inst_1 : CategoryTheory.Limits.HasBinaryProduct X Y] (f : W ⟶ X) (g : W ⟶ Y),
CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.prod.lift f g) CategoryTheory.Limits.prod.snd = 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.prodstatement · cited by 364
- CategoryTheory.Limits.limit.lift_πproof · cited by 266
- CategoryTheory.Limits.prod.sndstatement · cited by 185
- CategoryTheory.Limits.HasBinaryProductstatement and proof · cited by 169
- CategoryTheory.Limits.prod.liftstatement · cited by 123
- CategoryTheory.Limits.BinaryFan.mkproof · cited by 112
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.prodComparison_sndproof · cited by 5
- CategoryTheory.Limits.snd_opProdIsoCoprod_homproof · cited by 2
- CategoryTheory.NonPreadditiveAbelian.lift_sub_liftproof · cited by 1
- HomotopicalAlgebra.RightHomotopyRel.postcompproof · cited by 0
- CategoryTheory.isSubterminal_of_isIso_diagproof · cited by 0
- CategoryTheory.NormalMonoCategory.hasLimit_parallelPairproof · cited by 0
- CategoryTheory.NormalMonoCategory.pullback_of_monoproof · cited by 0
- CategoryTheory.Limits.prod.lift_snd_assocproof · cited by 0