What does the ppp-adic ultrametric inequality state?
∣x+y∣p≤∣x∣p+∣y∣p|x + y|_p \leq |x|_p + |y|_p∣x+y∣p≤∣x∣p+∣y∣p
∣x+y∣p≤max(∣x∣p,∣y∣p)|x + y|_p \leq \max(|x|_p, |y|_p)∣x+y∣p≤max(∣x∣p,∣y∣p)
∣x+y∣p=∣x∣p×∣y∣p|x + y|_p = |x|_p \times |y|_p∣x+y∣p=∣x∣p×∣y∣p
∣x+y∣p≥∣x∣p+∣y∣p|x + y|_p \geq |x|_p + |y|_p∣x+y∣p≥∣x∣p+∣y∣p