Theorems · Definition · category theory

CategoryTheory.Equivalence.core

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] → (C ≌ D) → (CategoryTheory.Core C ≌ CategoryTheory.Core D)

Equivalent categories have equivalent cores.

Defined in

Mathlib.CategoryTheory.Core

Cited by

14 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category