Theorems · Definition · category theory

CategoryTheory.ModObj.ofIso

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      {D : Type u₂} →
        [inst_2 : CategoryTheory.Category.{v₂, u₂} D] →
          [inst_3 : CategoryTheory.MonoidalCategory.MonoidalLeftAction C D] →
            {M : C} →
              [inst_4 : CategoryTheory.MonObj M] →
                {X : D} →
                  {N : C} →
                    [inst_5 : CategoryTheory.MonObj N] →
                      (e₁ : M ≅ N) →
                        [CategoryTheory.IsMonHom e₁.hom] →
                          {Y : D} → (X ≅ Y) → [CategoryTheory.ModObj M X] → CategoryTheory.ModObj N Y

Transfer a MulActionObj along isomorphisms.

Defined in

Mathlib.CategoryTheory.Monoidal.Mod

Cited by

1 results in Mathlib

Foundations

Depth 12 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategory.MonoidalLeftActionCategoryTheory.MonObjCategoryTheory.MonObjCategoryTheory.IsMonHomCategoryTheory.ModObj