Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.DescendsAlong.of_isPullback
∀ {C : Type u_1} {inst : CategoryTheory.Category.{v_1, u_1} C} {P Q : CategoryTheory.MorphismProperty C}
[self : P.DescendsAlong Q] {A X Y Z : C} {fst : A ⟶ X} {snd : A ⟶ Y} {f : X ⟶ Z} {g : Y ⟶ Z},
CategoryTheory.IsPullback fst snd f g → Q f → P fst → P g- Cited by
- 2 results in Mathlib
- Foundations
- Depth 4 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 · cited by 32,603
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.IsPullbackstatement · cited by 320
- CategoryTheory.MorphismProperty.DescendsAlongstatement and proof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.of_isPullback_of_descendsAlongproof · cited by 5
- CategoryTheory.MorphismProperty.DescendsAlong.of_leproof · cited by 0