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Proof step 27 from proof int2bytes-len-neg-01 (previous step)

j + 2 ^ (8 * (n→i(n0) - 1)) ≤ j + 2 ^ (n→i(n0) * 8 - 2), 0 < j + 2 ^ (8 * (n→i(n0) - 1)), j + 2 ^ (8 * (i + 1)) < j + 2 ^ (8 * (n→i(n0) - 1)), i + 2 < n→i(n0), 0 ≤ i, 0 < j + 2 ^ (8 * (i + 1)), j + 2 ^ (8 * (i + 1) - 1) < 0, j + 2 ^ (n→i(n0) * 8 - 2) < 0, 0 ≤ 2 ^ (n→i(n0) * 8 - 1) + j, j < 0 ⊦ 0 < j + 2 ^ (n→i(n0) * 8 - 2), n0 = 0, n0 * 8 = 1, n0 = 2 + i→n(i)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 28:
⊦ i < j ∧ j ≤ j0 → i < j0
Proof step 29:
¬(0 < j + 2 ^ (8 * (n→i(n0) - 1)) ∧ j + 2 ^ (8 * (n→i(n0) - 1)) ≤ j + 2 ^ (n→i(n0) * 8 - 2)), j + 2 ^ (8 * (n→i(n0) - 1)) ≤ j + 2 ^ (n→i(n0) * 8 - 2), 0 < j + 2 ^ (8 * (n→i(n0) - 1)), j + 2 ^ (8 * (i + 1)) < j + 2 ^ (8 * (n→i(n0) - 1)), i + 2 < n→i(n0), 0 ≤ i, 0 < j + 2 ^ (8 * (i + 1)), j + 2 ^ (8 * (i + 1) - 1) < 0, j + 2 ^ (n→i(n0) * 8 - 2) < 0, 0 ≤ 2 ^ (n→i(n0) * 8 - 1) + j, j < 0 ⊦ 0 < j + 2 ^ (n→i(n0) * 8 - 2), n0 = 0, n0 * 8 = 1, n0 = 2 + i→n(i)

Rule argument

seq: ⊦ i < j ∧ j ≤ j0 → i < j0 subst: [i, j, j0] → [0, j + 2 ^ (8 * (n→i(n0) - 1)), j + 2 ^ (n→i(n0) * 8 - 2)] rotate: F spec: int-abs inst: name: forward-lsle

Additional information

Used terms: 0, j + 2 ^ (8 * (n→i(n0) - 1)), j + 2 ^ (n→i(n0) * 8 - 2)