Theorems · Theorem · number theory
Ideal.Factors.ramificationIdx_ne_zero
Deprecated since 2026-07-01Mathlib marks this declaration as deprecated.
∀ {R : Type u} [inst : CommRing R] {S : Type v} [inst_1 : CommRing S] [inst_2 : Algebra R S] (p : Ideal R)
[inst_3 : IsDedekindDomain S] (P : ↥(UniqueFactorizationMonoid.factors (Ideal.map (algebraMap R S) p)).toFinset),
p.ramificationIdx' ↑P ≠ 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites16
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
- Finsetstatement · cited by 13,712
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Idealstatement and proof · cited by 4,748
- Algebra.algebraMapstatement and proof · cited by 4,706
- Ideal.mapstatement and proof · cited by 692
- IsDedekindDomainstatement and proof · cited by 668
- Multiset.toFinsetstatement and proof · cited by 230
- Ideal.ramificationIdx'statement · cited by 85
- UniqueFactorizationMonoid.factorsstatement and proof · cited by 55
- Multiset.mem_toFinsetproof · cited by 39
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