Theorems · Definition · category theory

CategoryTheory.SymmetricCategory.ofFullyFaithful

{C : Type u_1} →
  {D : Type u_2} →
    [inst : CategoryTheory.Category.{v_1, u_1} C] →
      [inst_1 : CategoryTheory.Category.{v_2, u_2} D] →
        [inst_2 : CategoryTheory.MonoidalCategory C] →
          [inst_3 : CategoryTheory.MonoidalCategory D] →
            (F : CategoryTheory.Functor C D) →
              [F.Monoidal] →
                [F.Full] → [F.Faithful] → [CategoryTheory.SymmetricCategory D] → CategoryTheory.SymmetricCategory C

Pull back a symmetric braiding along a fully faithful monoidal functor.

Defined in

Mathlib.CategoryTheory.Monoidal.Braided.Basic

Cited by

0 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.MonoidalCategoryCategoryTheory.Functor.MonoidalCategoryTheory.Functor.FullCategoryTheory.Functor.FaithfulCategoryTheory.SymmetricCategory