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

j + 2 ^ (8 * i) = 0, j < 0, 2 ^ (8 * i) ≤ 2 ^ (8 * (i + 1) - 1), 0 ≤ i, 0 ≤ 2 ^ (8 * (i + 1) - 1) + j ⊦ # int2bits(j) / 8 = i→n(i), # int2bits(j) % 8 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 28:
⊦ i + j = i0 ↔ i = i0 - j
Proof step 29:
j = 0 - 2 ^ (8 * i), j < 0, 2 ^ (8 * i) ≤ 2 ^ (8 * (i + 1) - 1), 0 ≤ i, 0 ≤ 2 ^ (8 * (i + 1) - 1) + j ⊦ # int2bits(j) / 8 = i→n(i), # int2bits(j) % 8 = 0

Rule argument

seq: ⊦ i + j = i0 ↔ i = i0 - j subst: [i0, j, i] → [0, 2 ^ (8 * i), j] rotate: F spec: int-abs inst: name: add-shift

Additional information

Used terms: 0, 2 ^ (8 * i), j