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Proof step 27 from proof fits-law-mul (previous step)

b2i(by1) < 0, 0 < b2i(by1) * b2i(by2), b2i(by2) ≤ 0, 32768 ≤ b2i(by1) * b2i(by2) ⊦ b2i(by1) * b2i(by2) = s2i(i2s(b2i(by1) * b2i(by2))), ¬ b2i(by1) < 0 ∧ ¬ b2i(by2) < 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ j < i ∧ i ≤ 0 → j < 0; (forward)% ⊦ i < 0 ∧ 0 ≤ j → i < j;% ⊦ i < 0 ∧ 0 ≤ j → i ≤ j;% ⊦ i * j = j * i;% ⊦ i * j * j0 = (i * j) * j0;% ⊦ i < 0 → (0 < i * j ↔ j < 0);