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Proof step 10 from proof rightshift-8 (previous step)

0 ≤ i ⊦ # (~128 ≤ i ∧ i < 128 ⊃ i2b(i) ' ;(128 ≤ i ∧ i < 256 ⊃ i2b(0) ' + i2b(i - 256) ' ;(~256 < i ∧ i < ~128 ⊃ i2b(~1) ' + i2b(i) ' ;(i < ~256 ∧ i % 256 = 0 ⊃ int2bytes(i / 256) + int2bytes(i % 256).last ' ;(i < ~256 ∧ i % 256 ≠ 0 ⊃ int2bytes(i / 256 - 1) + int2bytes(i % 256).last ';int2bytes(i / 256) + int2bytes(i % 256).last ') ) ) ) ) = 1, i / 256 = bytes2int ((~128 ≤ i ∧ i < 128 ⊃ i2b(i) ' ;(128 ≤ i ∧ i < 256 ⊃ i2b(0) ' + i2b(i - 256) ' ;(~256 < i ∧ i < ~128 ⊃ i2b(~1) ' + i2b(i) ' ;(i < ~256 ∧ i % 256 = 0 ⊃ int2bytes(i / 256) + int2bytes(i % 256).last ' ;(i < ~256 ∧ i % 256 ≠ 0 ⊃ int2bytes(i / 256 - 1) + int2bytes(i % 256).last ';int2bytes(i / 256) + int2bytes(i % 256).last ') ) ) ) ) .butlast)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
0 ≤ i ⊦ # (¬ 128 ≤ i ⊃ i2b(i) ';(¬ 256 ≤ i ⊃ i2b(0) ' + i2b(i - 256) ';int2bytes(i / 256) + i2b(i % 256) ')) = 1, i / 256 = bytes2int((¬ 128 ≤ i ⊃ i2b(i) ';(¬ 256 ≤ i ⊃ i2b(0) ' + i2b(i - 256) ';int2bytes(i / 256) + i2b(i % 256) ')).butlast)

Rule argument

Additional information

Used simplifier rules: int2bytes-last-01: ⊦ int2bytes(i).last = i2b(i);%i0 ≠ 0, i0 < i ⊦ (* i) ≤ j → (* i0) < j;% ⊦ ¬ i < j ↔ j ≤ i;%i0 ≠ 0, i0 ≤ i ⊦ (* i) ≤ j → (* i0) ≤ j;