Theorems · Theorem · algebraic geometry
CommAlgCat.FiniteEtale.of_obj
∀ (R : Type u) [inst : CommRing R] (S : Type v) [inst_1 : CommRing S] [inst_2 : Algebra R S] [inst_3 : Module.Finite R S] [inst_4 : Algebra.Etale R S], (CommAlgCat.FiniteEtale.of R S).obj = CommAlgCat.of R S
- Defined in
- Mathlib.RingTheory.Etale.Finite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement and proof · cited by 1,316
- Module.Finitestatement and proof · cited by 1,032
- CommAlgCatstatement · cited by 96
- Algebra.Etalestatement and proof · cited by 34
- CommAlgCat.ofstatement · cited by 33
- CommAlgCat.finiteEtalestatement · cited by 11
- CommAlgCat.FiniteEtale.ofstatement and proof · cited by 6
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