Theorems · Theorem · category theory

CategoryTheory.Equivalence.preregular

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {D : Type u_2}
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] [CategoryTheory.Preregular C] (e : C ≌ D), CategoryTheory.Preregular D

Preregular is preserved by equivalence of categories.

Defined in

Mathlib.CategoryTheory.Sites.Coherent.Equivalence

Cited by

11 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Preregular