Theorems · Theorem · algebraic geometry
CommAlgCat.FiniteEtale.fiber_obj_obj
∀ (R : Type u) [inst : CommRing R] (Ω : Type w) [inst_1 : Field Ω] [inst_2 : Algebra R Ω] (S : (CommAlgCat.FiniteEtale R)ᵒᵖ), ((CommAlgCat.FiniteEtale.fiber R Ω).obj S).obj = (↑(Opposite.unop S).obj →ₐ[R] Ω)
- Defined in
- Mathlib.RingTheory.Etale.Finite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites15
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
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Oppositestatement and proof · cited by 8,081
- Fieldstatement and proof · cited by 7,404
- AlgHomstatement · cited by 3,236
- Finitestatement · cited by 3,029
- Opposite.unopstatement · cited by 2,231
- CategoryTheory.ObjectProperty.FullSubcategory.objstatement and proof · cited by 1,316
- FintypeCatstatement · cited by 217
- CommAlgCatstatement · cited by 96
- CommAlgCat.carrierstatement · cited by 77
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