Theorems · Definition · category theory
CategoryTheory.ChosenPullbacksAlong.pullback
{C : Type u₁} →
{inst : CategoryTheory.Category.{v₁, u₁} C} →
{Y X : C} →
(f : Y ⟶ X) →
[self : CategoryTheory.ChosenPullbacksAlong f] →
CategoryTheory.Functor (CategoryTheory.Over X) (CategoryTheory.Over Y)The pullback functor along f.
- Cited by
- 62 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.Functorstatement · cited by 16,252
- CategoryTheory.Overstatement · cited by 935
- CategoryTheory.ChosenPullbacksAlongstatement and proof · cited by 73
Cited by85
Results whose statement or proof uses this declaration.
- CategoryTheory.ChosenPullbacksAlong.sndproof · cited by 45
- CategoryTheory.ChosenPullbacksAlong.pullbackObjproof · cited by 42
- CategoryTheory.ChosenPullbacksAlong.mapPullbackAdjstatement · cited by 29
- CategoryTheory.ExponentiableMorphism.pullbackPushforwardAdjstatement · cited by 16
- CategoryTheory.ChosenPullbacksAlong.pullbackIsoOverPullbackstatement · cited by 8
- CategoryTheory.ExponentiableMorphism.coevstatement · cited by 7
- CategoryTheory.ExponentiableMorphism.evstatement · cited by 7
- CategoryTheory.ChosenPullbacksAlong.pullbackIdstatement · cited by 6
- CategoryTheory.ChosenPullbacksAlong.hom_extproof · cited by 5
- CategoryTheory.ChosenPullbacksAlong.compproof · cited by 4
- CategoryTheory.ChosenPullbacksAlong.fst'statement · cited by 4
- CategoryTheory.ChosenPullbacksAlong.lift_fstproof · cited by 4