apply round_eq_of_trunc_eq npos hfaithful₀
d : ℕ
round : ℕ → ℕ
n a b : ℕ
npos : 0 < n
hfaithful₀ : faithful₀ n round
hfaithful₁ : faithful₁ n round
hfa : trunc n a = a
hfb : trunc n b = b
hfd : trunc n d = d
hba : b ≤ a
hbd : b ≤ d
hab : ulp n a ≤ 2 * b
hbc : b < round (a - round (a - b))
hdc : d ≤ round (a - round (a - b))
⊢ round (a - round (a - b)) = a - round (a - b)
d : ℕ
round : ℕ → ℕ
n a b : ℕ
npos : 0 < n
hfaithful₀ : faithful₀ n round
hfaithful₁ : faithful₁ n round
hfa : trunc n a = a
hfb : trunc n b = b
hfd : trunc n d = d
hba : b ≤ a
hbd : b ≤ d
hab : ulp n a ≤ 2 * b
hbc : b < round (a - round (a - b))
hdc : d ≤ round (a - round (a - b))
⊢ trunc n (a - round (a - b)) = a - round (a - b)