Theorems · Theorem · category theory

CategoryTheory.IsFiltered.of_isRightAdjoint

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [CategoryTheory.IsFiltered C] {D : Type u₁}
  [inst_2 : CategoryTheory.Category.{v₁, u₁} D] (R : CategoryTheory.Functor C D) [R.IsRightAdjoint],
  CategoryTheory.IsFiltered D

If C is filtered, and we have a right adjoint functor R : C ⥤ D, then D is filtered.

Defined in

Mathlib.CategoryTheory.Filtered.Basic

Cited by

0 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.IsFilteredCategoryTheory.CategoryCategoryTheory.Functor.IsRightAdjoint