exact hcorrect₁ x hhi
case inr
n x : ℕ
round : ℕ → ℕ
npos : 0 < n
hcorrect₁ : correct₁ n round
hhi : round x = next n (trunc n x)
no_uflow : x ≥ 2 ^ n
h1 : x ≤ next n (trunc n x)
h2 : trunc n x ≤ x
⊢ next n (trunc n x) - x ≤ x - trunc n x
no goals