Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.HasPullbacksAlong.hasPullback
∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {P : CategoryTheory.MorphismProperty C} {X Y : C} {f : X ⟶ Y}
[self : P.HasPullbacksAlong f] {W : C} (g : W ⟶ Y), P g → CategoryTheory.Limits.HasPullback g f- Cited by
- 2 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses no axioms
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.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Limits.HasPullbackstatement · cited by 434
- CategoryTheory.MorphismProperty.HasPullbacksAlongstatement and proof · cited by 17
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.hasPullbacksAgainst_top_iffproof · cited by 0
- CategoryTheory.Limits.hasPullback_ofHasPullbacksAgainstproof · cited by 0