Theorems · Theorem · category theory
CategoryTheory.Grothendieck.grothendieckTypeToCatInverse_map_base
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (G : CategoryTheory.Functor C (Type w)) {X Y : G.Elements}
(f : X ⟶ Y), ((CategoryTheory.Grothendieck.grothendieckTypeToCatInverse G).map f).base = ↑f- Defined in
- Mathlib.CategoryTheory.Grothendieck
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- 0 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites15
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- DFunLike.coestatement · cited by 62,936
- 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
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- TypeCat.Funstatement · cited by 1,307
- CategoryTheory.Catstatement · cited by 884
- CategoryTheory.Functor.Elementsstatement and proof · cited by 141
- CategoryTheory.Grothendieckstatement · cited by 138
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