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Theorems · Theorem · commutative algebra

Algebra.FormallyEtale.iff_of_equiv

∀ {R : Type u} {A : Type v} {B : Type u_1} [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : Algebra R A]
  [inst_3 : CommRing B] [inst_4 : Algebra R B] (e : A ≃ₐ[R] B), Algebra.FormallyEtale R A ↔ Algebra.FormallyEtale R B
Defined in
Mathlib.RingTheory.Etale.Basic
Cited by
1 results in Mathlib
Foundations
Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommRingAlgebraCommRingAlgebra
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Around this declaration

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Algebra.FormallyEtale.iff_exists_algEquiv_prod · cited by 1FormallyEtale.iff_exists_…CommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraAlgEquiv · cited by 1681AlgEquivAlgEquiv.symm · cited by 615AlgEquiv.symmAlgebra.FormallyEtale · cited by 37Algebra.FormallyEtaleAlgebra.FormallyEtale.of_equiv · cited by 3FormallyEtale.of_equivFormallyEtale.iff_of_equivCITED BYCITES

Cites6

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Cited by1

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