Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.colimitsClosure_monotone

∀ {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)] {Q : CategoryTheory.ObjectProperty C},
  P ≤ Q → P.colimitsClosure J ≤ Q.colimitsClosure J

Defined in

Mathlib.CategoryTheory.ObjectProperty.ColimitsClosure

Cited by

1 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category