Theorems · Theorem · commutative algebra
Ideal.ramificationIdx_of_not_isPrime
∀ {S : Type u_1} [inst : CommRing S] (q : Ideal S) (R : Type u_2) [inst_1 : CommRing R] [inst_2 : Algebra R S],
¬q.IsPrime → q.ramificationIdx R = 0- Cited by
- 4 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Ideal.ramificationIdxstatement · cited by 59
Cited by4
Results whose statement or proof uses this declaration.
- Ideal.ramificationIdx_towerproof · cited by 5
- Ideal.ramificationIdx_smulproof · cited by 2
- Ideal.IsDedekindDomain.ramificationIdx_eq_factors_countproof · cited by 2
- Ideal.ramificationIdx'_of_not_isPrimeproof · cited by 0