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Proof step 12 from proof fits-law-shr (previous step)

b2i(by) < 0 ∧ 0 < band(i, 31) ∧ band(i, 31) < 32, 0 < band(i, 31), b2i(by) < 0 ⊦ (b2i(by) - (2 ^ band(i, 31) - 1)) / 2 ^ band(i, 31) = b2i(i2b((b2i(by) - (2 ^ band(i, 31) - 1)) / 2 ^ band(i, 31)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
band(i, 31) < 32, 0 < band(i, 31), b2i(by) < 0 ⊦ (b2i(by) + 1 - 2 ^ band(i, 31)) / 2 ^ band(i, 31) = b2i(i2b((b2i(by) + 1 - 2 ^ band(i, 31)) / 2 ^ band(i, 31)))

Rule argument

Additional information

Used simplifier rules: ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j; (forward)% ⊦ band(i, j) = band(j, i);% ⊦ i - (j - j0) = i + j0 - j;