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Proof step 2 from proof int2bytes-rec-neg-04 (previous step)

j % 2 ^ (i * 8) = 0, j + 2 ^ (i * 8 - 1) < 0, 0 < i ⊦ int2bytes(j) = int2bytes(j / 2 ^ (i * 8)) + fix(i→n(i) + 1, i2b(0) ').rest

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
j ≠ 0 ⊦ i % j = 0 ↔ (∃ j0. i = j0 * j)
Proof step 4:
¬ 2 ^ (i * 8) ≠ 0, j % 2 ^ (i * 8) = 0, j + 2 ^ (i * 8 - 1) < 0, 0 < i ⊦ int2bytes(j) = int2bytes(j / 2 ^ (i * 8)) + fix(i→n(i) + 1, i2b(0) ').rest
Proof step 7:
2 ^ (i * 8) ≠ 0, ∃ j0. j = j0 * 2 ^ (i * 8), j + 2 ^ (i * 8 - 1) < 0, 0 < i ⊦ int2bytes(j) = int2bytes(j / 2 ^ (i * 8)) + fix(i→n(i) + 1, i2b(0) ').rest

Rule argument

seq: j ≠ 0 ⊦ i % j = 0 ↔ (∃ j0. i = j0 * j) subst: [j, i] → [2 ^ (i * 8), j] rotate: F spec: int-div inst: name: modex

Additional information

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