Theorems · Theorem · algebraic geometry
CommAlgCat.FiniteEtale.equivOfIsSepClosed_inverse_obj
∀ (Ω : Type u) [inst : Field Ω] [inst_1 : IsSepClosed Ω] (X : FintypeCat), (CommAlgCat.FiniteEtale.equivOfIsSepClosed Ω).inverse.obj X = Opposite.op (CommAlgCat.FiniteEtale.of Ω (X.obj → Ω))
- Defined in
- Mathlib.RingTheory.Etale.Finite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldIsSepClosed
Around this declaration
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Oppositestatement · cited by 8,081
- Fieldstatement and proof · cited by 7,404
- Finitestatement · cited by 3,029
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement · cited by 1,316
- CategoryTheory.Equivalence.inversestatement and proof · cited by 1,130
- FintypeCatstatement and proof · cited by 217
- CommAlgCatstatement · cited by 96
- IsSepClosedstatement and proof · cited by 41
- CommAlgCat.finiteEtalestatement · cited by 11
- CommAlgCat.FiniteEtalestatement · cited by 10
- CommAlgCat.FiniteEtale.ofstatement · cited by 6
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