Theorems · Theorem · commutative algebra
Algebra.FormallyUnramified.of_equiv
∀ {R : Type u_1} [inst : CommRing R] {A : Type u_2} {B : Type u_3} [inst_1 : CommRing A] [inst_2 : Algebra R A]
[inst_3 : CommRing B] [inst_4 : Algebra R B] [Algebra.FormallyUnramified R A] (e : A ≃ₐ[R] B),
Algebra.FormallyUnramified R B- Defined in
- Mathlib.RingTheory.Unramified.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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
- Semiringproof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringproof · cited by 10,911
- Idealproof · cited by 4,748
- Bot.botproof · cited by 4,720
- AlgHomproof · cited by 3,236
- HasQuotient.Quotientproof · cited by 2,301
- AlgEquivstatement and proof · cited by 1,681
- AlgEquiv.symmproof · cited by 615
- AlgHom.compproof · cited by 501
- AlgEquiv.toAlgHomproof · cited by 273
Cited by4
Results whose statement or proof uses this declaration.
- Algebra.FormallyEtale.of_equivproof · cited by 3
- Algebra.IsUnramifiedAt.exists_hasStandardEtaleSurjectionOnproof · cited by 1
- Algebra.FormallyUnramified.iff_of_equivproof · cited by 1
- Algebra.Unramified.of_equivproof · cited by 0