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Proof step 35 from proof fits-law-shr (previous step)

2 ^ band(i, 31) ≠ ~1 ∧ 2 ^ band(i, 31) ≠ 0 → b2i(by) / 2 ^ band(i, 31) = b2i(i2b(b2i(by) / 2 ^ band(i, 31))), band(i, 31) < 32, 0 ≤ b2i(by), 0 < band(i, 31) ⊦ b2i(by) / 2 ^ band(i, 31) = b2i(i2b(b2i(by) / 2 ^ band(i, 31)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ ~ i = j ↔ i + j = 0;% ⊦ i / ~1 = ~ i;% ⊦ band(i, j) = band(j, i);% ⊦ 0 < j → (i ^ j = 0 ↔ i = 0);