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Proof step 28 from proof shiftright-shift (previous step)

0 ≤ i >> j ∧ 0 ≤ j0, 0 ≤ j + j0, 0 ≤ i, 0 ≤ j0, 0 ≤ j, j + j0 < 32 ⊦ (i >> j) / 2 ^ j0 = i / (2 ^ j * 2 ^ j0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 29:
0 ≤ j + j0, 0 ≤ i, 0 ≤ j0, 0 ≤ j, j + j0 < 32, 0 ≤ i >> j ⊦ (i >> j) / 2 ^ j0 = i / (2 ^ j * 2 ^ j0)

Rule argument

Additional information

Used simplifier rules: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward)% ⊦ i + j = j + i;