Theorems · Theorem · category theory

CategoryTheory.Square.IsPushout.of_map

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {D : Type u'} [inst_1 : CategoryTheory.Category.{v', u'} D]
  {sq : CategoryTheory.Square C} (F : CategoryTheory.Functor C D)
  [CategoryTheory.Limits.ReflectsColimit (CategoryTheory.Limits.span sq.f₁₂ sq.f₁₃) F],
  (sq.map F).IsPushout → sq.IsPushout

Defined in

Mathlib.CategoryTheory.Limits.Preserves.Shapes.Square

Cited by

1 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.ReflectsColimit