Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.HasPushouts.hasPushout
∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {P : CategoryTheory.MorphismProperty C} [self : P.HasPushouts]
{X Y S : C} {f : S ⟶ X} (g : S ⟶ Y), P f → CategoryTheory.Limits.HasPushout f g- Cited by
- 1 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 · cited by 32,603
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Limits.HasPushoutstatement · cited by 192
- CategoryTheory.MorphismProperty.HasPushoutsstatement and proof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.hasPushoutproof · cited by 0