Theorems · Theorem · commutative algebra
IsDedekindDomain.HeightOneSpectrum.isNonarchimedean_intAdicAbvDef
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : IsDedekindDomain R] (v : IsDedekindDomain.HeightOneSpectrum R)
{b : NNReal} (hb : 1 < b), IsNonarchimedean (v.intAdicAbvDef hb)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingIsDedekindDomain
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.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- NNRealstatement and proof · cited by 4,310
- Monotoneproof · cited by 1,397
- IsDedekindDomainstatement and proof · cited by 668
- IsDedekindDomain.HeightOneSpectrumstatement and proof · cited by 338
- StrictMono.monotoneproof · cited by 118
- IsNonarchimedeanstatement · cited by 77
- Monotone.map_maxproof · cited by 55
- IsDedekindDomain.HeightOneSpectrum.intValuationproof · cited by 53
- LT.lt.ne_zeroproof · cited by 34
- WithZeroMulInt.toNNRealproof · cited by 28
Cited by1
Results whose statement or proof uses this declaration.
- IsDedekindDomain.HeightOneSpectrum.isNonarchimedean_intAdicAbvproof · cited by 0