padicNorm.nonarchimedean

∀ {p : ℕ} [hp : Fact (Nat.Prime p)] {q r : ℚ}, padicNorm p (q + r) ≤ max (padicNorm p q) (padicNorm p r)

The p-adic norm is nonarchimedean: the norm of p + q is at most the max of the norm of p and the norm of q.

Defined in: Mathlib.NumberTheory.Padics.PadicNorm
Cited by: 5 results in Mathlib
Foundations: Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Fact

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