Theorems · Inductive type · category theory

CategoryTheory.Reflective

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

A functor is reflective, or a reflective inclusion, if it is fully faithful and right adjoint.

Defined in

Mathlib.CategoryTheory.Adjunction.Reflective

Cited by

27 results in Mathlib

Foundations

Depth 2 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category