Theorems · Theorem · category theory
CategoryTheory.Grothendieck.grothendieckTypeToCatInverse_obj_base
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (G : CategoryTheory.Functor C (Type w)) (X : G.Elements),
((CategoryTheory.Grothendieck.grothendieckTypeToCatInverse G).obj X).base = X.fst- Defined in
- Mathlib.CategoryTheory.Grothendieck
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites10
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.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Catstatement · cited by 884
- CategoryTheory.Functor.Elementsstatement and proof · cited by 141
- CategoryTheory.Grothendieckstatement · cited by 138
- CategoryTheory.Grothendieck.basestatement and proof · cited by 80
- CategoryTheory.typeToCatstatement · cited by 20
- CategoryTheory.Grothendieck.grothendieckTypeToCatInversestatement and proof · cited by 9
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