Theorems · Definition · category theory

CategoryTheory.Limits.pullback.fst

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {X Y Z : C} →
      (f : X ⟶ Z) →
        (g : Y ⟶ Z) → [inst_1 : CategoryTheory.Limits.HasPullback f g] → CategoryTheory.Limits.pullback f g ⟶ X

The first projection of the pullback of f and g.

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Pullback.HasPullback

Cited by

639 results in Mathlib

Foundations

Depth 24 from the axioms, rests on 150 definitions · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPullback