Theorems · Theorem · algebraic geometry
CommAlgCat.FiniteEtale.finiteSpec_obj_obj
∀ (k : Type u) [inst : Field k] (R : (CommAlgCat.FiniteEtale k)ᵒᵖ), ((CommAlgCat.FiniteEtale.finiteSpec k).obj R).obj = PrimeSpectrum ↑(Opposite.unop R).obj
- Defined in
- Mathlib.RingTheory.Etale.Finite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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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 and proof · cited by 8,081
- Fieldstatement and proof · cited by 7,404
- Finitestatement · cited by 3,029
- Opposite.unopstatement · cited by 2,231
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement and proof · cited by 1,316
- PrimeSpectrumstatement · cited by 625
- FintypeCatstatement · cited by 217
- CommAlgCatstatement · cited by 96
- CommAlgCat.carrierstatement · cited by 77
- CommAlgCat.finiteEtalestatement · cited by 11
- CommAlgCat.FiniteEtalestatement and proof · cited by 10
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