p : ℕ
hp : Fact (Nat.Prime p)
q r : ℚ
⊢ padicNorm p (q + -r) ≤ max (padicNorm p q) (padicNorm p (-r))
p : ℕ
hp : Fact (Nat.Prime p)
q r : ℚ
⊢ padicNorm p (q - r) ≤ max (padicNorm p q) (padicNorm p r)
rw [sub_eq_add_neg, ← padicNorm.neg r]
no goals
p : ℕ
hp : Fact (Nat.Prime p)
q r : ℚ
⊢ padicNorm p (q + -r) ≤ max (padicNorm p q) (padicNorm p (-r))
exact padicNorm.nonarchimedean