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Proof step 8 from proof fits-law-mul (previous step)

b2i(by1) * b2i(by2) < ~32768, 0 < b2i(by1) ∧ b2i(by2) < 0 ∨ b2i(by1) < 0 ∧ 0 < b2i(by2) ⊦ b2i(by1) * b2i(by2) = s2i(i2s(b2i(by1) * b2i(by2)))

User applied rule case distinction

And obtained the following new goals

Proof step 9:
0 < b2i(by1) ∧ b2i(by2) < 0, b2i(by1) * b2i(by2) < ~32768 ⊦ b2i(by1) * b2i(by2) = s2i(i2s(b2i(by1) * b2i(by2)))
Proof step 14:
b2i(by1) < 0 ∧ 0 < b2i(by2), b2i(by1) * b2i(by2) < ~32768 ⊦ b2i(by1) * b2i(by2) = s2i(i2s(b2i(by1) * b2i(by2)))

Rule argument

pos: left 2

Additional information