Theorems · Theorem · commutative algebra
IsDedekindDomain.HeightOneSpectrum.adicAbv_coe_le_one
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : IsDedekindDomain R] {K : Type u_2} [inst_2 : Field K]
[inst_3 : Algebra R K] [inst_4 : IsFractionRing R K] (v : IsDedekindDomain.HeightOneSpectrum R) {b : NNReal}
(hb : 1 < b) (r : R), (v.adicAbv hb) ((algebraMap R K) r) ≤ 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapstatement · cited by 4,706
- NNRealstatement and proof · cited by 4,310
- IsFractionRingstatement and proof · cited by 738
- IsDedekindDomainstatement and proof · cited by 668
- AbsoluteValuestatement · cited by 363
- IsDedekindDomain.HeightOneSpectrumstatement and proof · cited by 338
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.FinitePlace.norm_le_oneproof · cited by 1