Theorems · Definition · category theory
CategoryTheory.PreGaloisCategory.functorToContAction
{C : Type u₁} →
[inst : CategoryTheory.Category.{u₂, u₁} C] →
(F : CategoryTheory.Functor C FintypeCat) → CategoryTheory.Functor C (ContAction FintypeCat (CategoryTheory.Aut F))The induced functor from C to the category of finite, discrete Aut F-sets.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Finitestatement · cited by 3,029
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement · cited by 1,316
- TypeCat.Funstatement · cited by 1,307
- CategoryTheory.ObjectProperty.FullSubcategorystatement · cited by 726
- FintypeCatstatement and proof · cited by 217
- Actionstatement · cited by 206
- CategoryTheory.Autstatement · cited by 96
- CategoryTheory.ObjectProperty.liftproof · cited by 33
- Action.IsContinuousstatement and proof · cited by 20
- ContActionstatement · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.PreGaloisCategory.functorToContAction_mapstatement and proof · cited by 0
- CategoryTheory.PreGaloisCategory.functorToContAction_obj_objstatement and proof · cited by 0