Theorems · Theorem · number theory
PadicInt.unitCoeff_coe
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] {x : ℤ_[p]} (hx : x ≠ 0), ↑↑(PadicInt.unitCoeff hx) = ↑x * ↑p ^ (-↑x.valuation)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 184 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.
- Realstatement · cited by 25,697
- Norm.normstatement · cited by 5,413
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Units.valstatement · cited by 1,966
- PadicIntstatement and proof · cited by 179
- Padicstatement · cited by 151
- PadicInt.valuationstatement · cited by 19
- PadicInt.unitCoeffstatement · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- PadicInt.unitCoeff_specproof · cited by 2