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Proof step 32 from proof int2bytes-last-01 (previous step)

256 ≤ i, 0 < i, 0 ≤ i ⊦ ~256 = i, int2bytes(i % 256).last = i2b(i)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 33:
0 ≤ i, i ≤ 127 ⊦ int2bytes(i) = i2b(i) '
Proof step 34:
¬(0 ≤ i % 256 ∧ i % 256 ≤ 127), 256 ≤ i, 0 < i, 0 ≤ i ⊦ ~256 = i, int2bytes(i % 256).last = i2b(i)
Proof step 42:
0 ≤ i % 256 ∧ i % 256 ≤ 127, 256 ≤ i, 0 < i, 0 ≤ i ⊦ ~256 = i, i2b(i % 256) '.last = i2b(i)

Rule argument

name: int2bytes-le127 rotate: F subst: [i] → [i % 256]

Additional information

Used terms: i % 256