Theorems · Definition · category theory
CategoryTheory.Limits.pullback.snd
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{X Y Z : C} →
(f : X ⟶ Z) →
(g : Y ⟶ Z) → [inst_1 : CategoryTheory.Limits.HasPullback f g] → CategoryTheory.Limits.pullback f g ⟶ YThe second projection of the pullback of f and g.
- Cited by
- 637 results in Mathlib
- Foundations
- Depth 24 from the axioms, rests on 150 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.Limits.pullbackstatement · cited by 864
- CategoryTheory.Limits.cospanproof · cited by 467
- CategoryTheory.Limits.HasPullbackstatement and proof · cited by 434
- CategoryTheory.Limits.limit.πproof · cited by 278
- CategoryTheory.Limits.WalkingCospan.rightproof · cited by 182
Cited by741
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.pullback.mapproof · cited by 156
- CategoryTheory.Limits.pullback.conditionstatement · cited by 122
- AlgebraicGeometry.morphismRestrictproof · cited by 90
- CategoryTheory.IsPullback.of_hasPullbackstatement · cited by 70
- CategoryTheory.Limits.pullback.hom_extstatement and proof · cited by 63
- CategoryTheory.Over.pullbackproof · cited by 53
- CategoryTheory.MorphismProperty.Over.pullbackproof · cited by 42
- AlgebraicGeometry.Scheme.Cover.pullbackHomproof · cited by 32
- CategoryTheory.Limits.pullback.lift_sndstatement · cited by 30
- AlgebraicGeometry.morphismRestrict_ιproof · cited by 25
- CategoryTheory.Limits.pullback.condition_assocstatement and proof · cited by 24
- CategoryTheory.Limits.pullbackAssocstatement and proof · cited by 23
Showing the 200 most cited of 741.