Theorems · Definition · category theory

MonCat.shrinkFunctor

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    (F : CategoryTheory.Functor C MonCat) → [∀ (X : C), Small.{w, w'} ↑(F.obj X)] → CategoryTheory.Functor C MonCat

A functor F : C ⥤ MonCat.{w'} factors through MonCat.{w} if all the monoids are w-small.

Defined in

Mathlib.Algebra.Category.MonCat.Shrink

Cited by

6 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategorySmall