Theorems · Definition · category theory

CategoryTheory.PreGaloisCategory.functorToAction

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    (F : CategoryTheory.Functor C FintypeCat) → CategoryTheory.Functor C (Action FintypeCat (CategoryTheory.Aut F))

Any (fiber) functor F : C ⥤ FintypeCat naturally factors via the forgetful functor from Action FintypeCat (Aut F) to FintypeCat.

Defined in

Mathlib.CategoryTheory.Galois.Action

Cited by

8 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category