Theorems · Definition · category theory

CategoryTheory.ChosenPullbacksAlong.pullbackIsoOverPullback

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {Z X : C} →
      (g : Z ⟶ X) →
        [inst_1 : CategoryTheory.ChosenPullbacksAlong g] →
          CategoryTheory.ChosenPullbacksAlong.pullback g ≅ CategoryTheory.Over.pullback g

The computable ChosenPullbacksAlong.pullback g is naturally isomorphic to the noncomputable Over.pullback g.

Defined in

Mathlib.CategoryTheory.LocallyCartesianClosed.ChosenPullbacksAlong

Cited by

8 results in Mathlib

Foundations

Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.ChosenPullbacksAlong