Theorems · Theorem · category theory
CategoryTheory.PreGaloisCategory.functorToContAction_map
∀ {C : Type u₁} [inst : CategoryTheory.Category.{u₂, u₁} C] (F : CategoryTheory.Functor C FintypeCat) {X Y : C}
(f : X ⟶ Y),
(CategoryTheory.PreGaloisCategory.functorToContAction F).map f =
CategoryTheory.ObjectProperty.homMk ((CategoryTheory.PreGaloisCategory.functorToAction F).map f)- 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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Cites17
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- 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
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