Theorems · Theorem · number theory
padicNorm.nonneg
∀ {p : ℕ} (q : ℚ), 0 ≤ padicNorm p qThe p-adic norm is nonnegative.
- Defined in
- Mathlib.NumberTheory.Padics.PadicNorm
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.cast_zeroproof · cited by 1,870
- padicNormstatement · cited by 83
- padicValRatproof · cited by 49
- zpow_nonnegproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- padicNorm.triangle_ineqproof · cited by 0