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Proof step 29 from proof fits-law-mul (previous step)

32768 = ~256 * ~128, 32768 ≤ b2i(by1) * b2i(by2), b2i(by1) < 0, 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 30:
~256 * ~128 ≤ b2i(by1) * b2i(by2), b2i(by1) < 0, b2i(by2) < 0 ⊦ b2i(by1) * b2i(by2) = s2i(i2s(b2i(by1) * b2i(by2)))

Rule argument

pos: left 1 flags: discard

Additional information