Theorems · Theorem · number theory
Ideal.ramificationIdx_eq_one_of_isUnramifiedAt
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] {p : Ideal S}
[inst_3 : p.IsPrime] [Algebra.IsUnramifiedAt R p] [Algebra.EssFiniteType R S], p.ramificationIdx R = 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 184 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Idealstatement and proof · cited by 4,748
- Ideal.IsPrimestatement and proof · cited by 827
- Algebra.EssFiniteTypestatement and proof · cited by 68
- Ideal.ramificationIdxstatement · cited by 59
- Algebra.IsUnramifiedAtstatement and proof · cited by 35
- Ideal.ramificationIdx_eq_oneproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- not_dvd_differentIdeal_iffproof · cited by 1