Theorems · Definition · number theory
PadicComplexInt
(p : ℕ) → [hp : Fact (Nat.Prime p)] → ValuationSubring ℂ_[p]
We define 𝓞_ℂ_[p] as the valuation subring of ℂ_[p], consisting of those elements with
valuation ≤ 1.
- Defined in
- Mathlib.NumberTheory.Padics.Complex
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 239 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement · cited by 4,310
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- ValuationSubringstatement · cited by 187
- Valued.vproof · cited by 163
- Padicstatement · cited by 151
- Valuation.valuationSubringproof · cited by 56
- PadicAlgClstatement · cited by 21
- PadicComplexstatement · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- PadicComplexInt.integersstatement · cited by 0