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Proof step 11 from proof fits-law-mul (previous step)

~32768 = 128 * ~256, b2i(by1) * b2i(by2) < ~32768, 0 < b2i(by1), b2i(by2) < 0 ⊦ b2i(by1) * b2i(by2) = s2i(i2s(b2i(by1) * b2i(by2)))

User applied rule insert equation

And obtained the following new goals

Proof step 12:
b2i(by1) * b2i(by2) < 128 * ~256, 0 < b2i(by1), b2i(by2) < 0 ⊦ b2i(by1) * b2i(by2) = s2i(i2s(b2i(by1) * b2i(by2)))

Rule argument

pos: left 1 flags: discard

Additional information