Theorems · Theorem · commutative algebra
Ideal.ramificationIdx_pos
∀ {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] [Module.Finite R S], 0 < q.ramificationIdx R- Cited by
- 5 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites59
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Semiringproof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringproof · cited by 10,911
- RingHomproof · cited by 10,189
- Top.topproof · cited by 9,680
- Set.Elemproof · cited by 7,166
- ENatproof · cited by 4,985
- Idealstatement and proof · cited by 4,748
- Algebra.algebraMapproof · cited by 4,706
- Submonoidproof · cited by 3,086
Cited by5
Results whose statement or proof uses this declaration.
- Ideal.ramificationIdxIn_ne_zeroproof · cited by 1
- Ideal.ramificationIdx_above_leproof · cited by 1
- Ideal.ramificationIdx_below_leproof · cited by 1
- IsDecompositionField.ramificationIdx_eqproof · cited by 0
- Ideal.ramificationIdx'_posproof · cited by 0