Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.colimitsClosure_eq_unop_limitsClosure

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (P : CategoryTheory.ObjectProperty C) {α : Type t}
  (J : α → Type u') [inst_1 : (a : α) → CategoryTheory.Category.{v', u'} (J a)],
  P.colimitsClosure J = (P.op.limitsClosure fun a => (J a)ᵒᵖ).unop

Defined in

Mathlib.CategoryTheory.ObjectProperty.ColimitsClosure

Cited by

0 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category