Theorems · Theorem · number theory
Padic.norm_p
∀ {p : ℕ} [hp : Fact (Nat.Prime p)], ‖↑p‖ = (↑p)⁻¹- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 110 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.
- Realstatement and proof · cited by 25,697
- Norm.normstatement and proof · cited by 5,413
- Factstatement and proof · cited by 2,726
- Nat.cast_oneproof · cited by 2,501
- Nat.Primestatement and proof · cited by 2,059
- Nat.cast_zeroproof · cited by 1,870
- sub_zeroproof · cited by 938
- pow_oneproof · cited by 894
- Fact.outproof · cited by 328
- zpow_negproof · cited by 198
- Padicstatement and proof · cited by 151
- zpow_ofNatproof · cited by 144
Cited by5
Results whose statement or proof uses this declaration.
- Padic.norm_intCast_lt_one_iffproof · cited by 3
- PadicInt.norm_pproof · cited by 2
- PadicAlgCl.valuation_pproof · cited by 1
- Padic.norm_p_zpowproof · cited by 1
- Padic.norm_p_lt_oneproof · cited by 0