Theorems · Definition · category theory

CategoryTheory.IsPullback.lift

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {P X Y Z : C} →
      {fst : P ⟶ X} →
        {snd : P ⟶ Y} →
          {f : X ⟶ Z} →
            {g : Y ⟶ Z} →
              CategoryTheory.IsPullback fst snd f g →
                {W : C} →
                  (h : W ⟶ X) →
                    (k : W ⟶ Y) →
                      CategoryTheory.CategoryStruct.comp h f = CategoryTheory.CategoryStruct.comp k g → (W ⟶ P)

API for PullbackCone.IsLimit.lift for IsPullback

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Pullback.IsPullback.Defs

Cited by

28 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category