Theorems · Definition · category theory

CategoryTheory.Over.postEquiv

{T : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} T] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        (X : T) → (F : T ≌ D) → CategoryTheory.Over X ≌ CategoryTheory.Over (F.functor.obj X)

An equivalence of categories induces an equivalence on over categories.

Defined in

Mathlib.CategoryTheory.Comma.Over.Basic

Cited by

4 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category