Theorems · Definition · category theory

CategoryTheory.Functor.toPreimages

{J : Type u} →
  [inst : CategoryTheory.Category.{v_1, u} J] →
    (F : CategoryTheory.Functor J (Type v)) → {i : J} → Set (F.obj i) → CategoryTheory.Functor J (Type v)

The subfunctor of F obtained by restricting to the preimages of a set s ∈ F.obj i.

Defined in

Mathlib.CategoryTheory.CofilteredSystem

Cited by

5 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.Category