Theorems · Theorem · commutative algebra
Algebra.FormallyEtale.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] [Algebra.FormallyEtale R A] (e : A ≃ₐ[R] B), Algebra.FormallyEtale R B- Defined in
- Mathlib.RingTheory.Etale.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 130 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- AlgEquivstatement and proof · cited by 1,681
- Algebra.FormallyEtalestatement and proof · cited by 37
- Algebra.FormallyEtale.iff_formallyUnramified_and_formallySmoothproof · cited by 8
- Algebra.FormallySmooth.of_equivproof · cited by 8
- Algebra.FormallyUnramified.of_equivproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- Algebra.FormallyEtale.of_formallyUnramified_of_fieldproof · cited by 1
- Algebra.Etale.of_equivproof · cited by 1
- Algebra.FormallyEtale.iff_of_equivproof · cited by 1