Theorems · Definition · category theory

CategoryTheory.Equivalence.congrRight

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {E : Type u₃} →
          [inst_2 : CategoryTheory.Category.{v₃, u₃} E] →
            (C ≌ D) → (CategoryTheory.Functor E C ≌ CategoryTheory.Functor E D)

If C is equivalent to D, then E ⥤ C is equivalent to E ⥤ D.

Defined in

Mathlib.CategoryTheory.Equivalence

Cited by

14 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category