Theorems · Definition · category theory

CategoryTheory.Sieve.shrinkFunctorUliftFunctorIso

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {X : C} →
      (S : CategoryTheory.Sieve X) →
        [inst_1 : CategoryTheory.LocallySmall.{w, v₁, u₁} C] →
          [inst_2 : CategoryTheory.LocallySmall.{max w' w, v₁, u₁} C] →
            (CategoryTheory.Sieve.shrinkFunctor.{w, v₁, u₁} S).toFunctor.comp CategoryTheory.uliftFunctor.{w', w} ≅
              (CategoryTheory.Sieve.shrinkFunctor.{max w' w, v₁, u₁} S).toFunctor

Sieve.shrinkFunctor is compatible with universe lifting.

Defined in

Mathlib.CategoryTheory.Sites.Sieves

Cited by

2 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.LocallySmallCategoryTheory.LocallySmall