Theorems · Definition · category theory
CategoryTheory.Limits.pullback.cone
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
{X Y Z : C} →
(f : X ⟶ Z) → (g : Y ⟶ Z) → [CategoryTheory.Limits.HasPullback f g] → CategoryTheory.Limits.PullbackCone f gThe cone associated to the pullback of f and g
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses Classical.choice
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 and proof · cited by 32,603
- CategoryTheory.Limits.cospanproof · cited by 467
- CategoryTheory.Limits.HasPullbackstatement and proof · cited by 434
- CategoryTheory.Limits.PullbackConestatement · cited by 136
- CategoryTheory.Limits.limit.coneproof · cited by 97
Cited by20
Results whose statement or proof uses this declaration.
- CategoryTheory.Over.cartesianMonoidalCategoryproof · cited by 68
- CategoryTheory.Limits.pullback.isLimitstatement · cited by 24
- CategoryTheory.Over.whiskerLeft_left_sndproof · cited by 2
- CategoryTheory.Over.whiskerRight_left_fstproof · cited by 2
- CategoryTheory.Over.whiskerRight_left_sndproof · cited by 2
- CategoryTheory.Over.whiskerLeft_left_fstproof · cited by 2
- CategoryTheory.Over.prodComparisonIso_pullback_inv_left_fst_fstproof · cited by 1
- CategoryTheory.Over.μ_pullback_left_fst_fstproof · cited by 1
- CategoryTheory.Over.μ_pullback_left_fst_sndproof · cited by 1
- CategoryTheory.Over.associator_hom_left_fstproof · cited by 1
- CategoryTheory.Over.associator_hom_left_snd_fstproof · cited by 1