Theorems · Definition · category theory

CategoryTheory.Localization.SmallShiftedHom.chgUniv

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {W : CategoryTheory.MorphismProperty C} →
      {M : Type w'} →
        [inst_1 : AddMonoid M] →
          [inst_2 : CategoryTheory.HasShift C M] →
            {X Y : C} →
              {m : M} →
                [inst_3 : CategoryTheory.Localization.HasSmallLocalizedShiftedHom W M X Y] →
                  [inst_4 : CategoryTheory.Localization.HasSmallLocalizedShiftedHom W M X Y] →
                    CategoryTheory.Localization.SmallShiftedHom W X Y m ≃
                      CategoryTheory.Localization.SmallShiftedHom W X Y m

Up to an equivalence, the type SmallShiftedHom.{w} W X Y m does not depend on the universe w.

Defined in

Mathlib.CategoryTheory.Localization.SmallShiftedHom

Cited by

1 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryAddMonoidCategoryTheory.HasShiftCategoryTheory.Localization.HasSmallLocalizedShiftedHomCategoryTheory.Localization.HasSmallLocalizedShiftedHom