Theorems · Theorem · number theory
PadicAlgCl.valuation_p
∀ (p : ℕ) [inst : Fact (Nat.Prime p)], Valued.v ↑p = 1 / ↑p
The valuation of p : PadicAlgCl p is 1/p.
- Defined in
- Mathlib.NumberTheory.Padics.Complex
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 240 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.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realproof · cited by 25,697
- Algebra.algebraMapproof · cited by 4,706
- NNRealstatement and proof · cited by 4,310
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- NNReal.toRealproof · cited by 1,260
- Valuationstatement · cited by 823
- one_divproof · cited by 624
- NNReal.eqproof · cited by 201
- Valued.vstatement and proof · cited by 163
- Padicstatement and proof · cited by 151
Cited by1
Results whose statement or proof uses this declaration.
- PadicComplex.valuation_pproof · cited by 0