Theorems · Theorem · commutative algebra
Ideal.inertiaDeg_pos
∀ {S : Type u_1} [inst : CommRing S] (q : Ideal S) (R : Type u_2) [inst_1 : CommRing R] [inst_2 : Algebra R S]
[hq : q.IsPrime] [Module.Finite R S], 0 < q.inertiaDeg R- Cited by
- 8 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Module.Finitestatement and proof · cited by 1,032
- Ideal.IsPrimestatement and proof · cited by 827
- Localization.AtPrimeproof · cited by 299
- Ideal.underproof · cited by 170
- Module.finrank_posproof · cited by 62
- Ideal.inertiaDegstatement · cited by 60
- Localization.AtPrime.algebraOfLiesOverproof · cited by 30
- Ideal.inertiaDeg_defproof · cited by 4
Cited by8
Results whose statement or proof uses this declaration.
- NumberField.not_dvd_discr_iff_forall_liesOverproof · cited by 2
- Ideal.absNorm_pow_inertiaDegproof · cited by 2
- Ideal.inertiaDeg_above_leproof · cited by 1
- Ideal.inertiaDeg_below_leproof · cited by 1
- Ideal.relNorm_eq_pow_of_isMaximalproof · cited by 1
- Ideal.relNorm_eq_pow_of_isPrime_isGaloisproof · cited by 1
- Ideal.inertiaDegIn_ne_zeroproof · cited by 1