Theorems · Theorem · number theory
Padic.eq_padicNorm
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] (q : ℚ), ‖↑q‖ = ↑(padicNorm p q)- Defined in
- Mathlib.NumberTheory.Padics.PadicNumbers
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 106 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.
- DFunLike.coeproof · cited by 62,936
- 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
- Padicstatement · cited by 151
- padicNormstatement · cited by 83
- padicNormEproof · cited by 18
- padicNormE.eq_padic_norm'proof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- Padic.norm_intCast_lt_one_iffproof · cited by 3
- Padic.valuation_ratCastproof · cited by 3
- Padic.norm_rat_le_oneproof · cited by 2
- Padic.isUniformInducing_cast_withValproof · cited by 2
- Padic.norm_int_le_pow_iff_dvdproof · cited by 2
- padicNorm_two_harmonicproof · cited by 0