Theorems · Theorem · category theory

CategoryTheory.Limits.HasPushout.of_createsColimit

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {D : Type u_2}
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] (F : CategoryTheory.Functor C D) {X Y S : C} (f : S ⟶ X) (g : S ⟶ Y)
  [CategoryTheory.CreatesColimit (CategoryTheory.Limits.span f g) F]
  [CategoryTheory.Limits.HasPushout (F.map f) (F.map g)], CategoryTheory.Limits.HasPushout f g

Defined in

Mathlib.CategoryTheory.Limits.Preserves.Creates.Pullbacks

Cited by

0 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CreatesColimitCategoryTheory.Limits.HasPushout