Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.HasPushoutsAlong.hasPushout
∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {P : CategoryTheory.MorphismProperty C} {X Y : C} {f : X ⟶ Y}
[self : P.HasPushoutsAlong f] {W : C} (g : X ⟶ W), P g → CategoryTheory.Limits.HasPushout 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.HasPushoutstatement · cited by 192
- CategoryTheory.MorphismProperty.HasPushoutsAlongstatement and proof · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.hasPushout_ofHasPushoutsAgainstproof · cited by 0
- CategoryTheory.MorphismProperty.hasPushoutsAgainst_top_iffproof · cited by 0