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Theorems · Theorem · category theory

CategoryTheory.Limits.hasPushout_ofHasPushoutsAgainst

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {P P' : CategoryTheory.MorphismProperty C} {c c' c'' : C}
  {f : c ⟶ c'} {g : c ⟶ c''} [P.HasPushoutsAgainst P'], P f → P' g → CategoryTheory.Limits.HasPushout f g
Defined in
Mathlib.CategoryTheory.MorphismProperty.Limits
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Foundations
Depth 19 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.MorphismProperty.HasPushoutsAgainst
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CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.Limits.HasPushout · cited by 192Limits.HasPushoutCategoryTheory.MorphismProperty.HasPushoutsAgainst · cited by 3MorphismProperty.HasPusho…CategoryTheory.MorphismProperty.HasPushoutsAlong.hasPushout · cited by 2HasPushoutsAlong.hasPusho…Limits.hasPushout_ofHasPushou…CITED BYCITES

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