Theorems · Theorem · category theory

CategoryTheory.PreGaloisCategory.functorToContAction_obj_obj

∀ {C : Type u₁} [inst : CategoryTheory.Category.{u₂, u₁} C] (F : CategoryTheory.Functor C FintypeCat) (X : C),
  ((CategoryTheory.PreGaloisCategory.functorToContAction F).obj X).obj =
    (CategoryTheory.PreGaloisCategory.functorToAction F).obj X

Defined in: Mathlib.CategoryTheory.Galois.Equivalence
Cited by: 0 results in Mathlib
Foundations: Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functor.objstatement and proof · cited by 19,642
CategoryTheory.Functorstatement and proof · cited by 16,252
Finitestatement · cited by 3,029
CategoryTheory.ObjectProperty.FullSubcategory.objstatement and proof · 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
Action.IsContinuousstatement · cited by 20
ContActionstatement · cited by 19

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