Theorems · Theorem · category theory

CategoryTheory.Limits.HasPullback.of_createsLimit

∀ {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 : X ⟶ S) (g : Y ⟶ S)
  [CategoryTheory.CreatesLimit (CategoryTheory.Limits.cospan f g) F]
  [CategoryTheory.Limits.HasPullback (F.map f) (F.map g)], CategoryTheory.Limits.HasPullback f g

Defined in

Mathlib.CategoryTheory.Limits.Preserves.Creates.Pullbacks

Cited by

0 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CreatesLimitCategoryTheory.Limits.HasPullback