Theorems · Theorem · number theory
PadicInt.valuation_coe
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] (x : ℤ_[p]), (↑x).valuation = ↑x.valuation- Cited by
- 1 results in Mathlib
- Foundations
- Depth 180 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
- sup_of_le_leftproof · cited by 218
- PadicIntstatement and proof · cited by 179
- Padicstatement · cited by 151
- Padic.valuationstatement and proof · cited by 28
- PadicInt.valuationstatement · cited by 19
Cited by1
Results whose statement or proof uses this declaration.
- PadicInt.norm_eq_zpow_neg_valuationproof · cited by 2