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Proof step 6 from proof fits-law-shr (previous step)

⊦ b2i(by) i>> band(i, 31) = b2i(i2b(b2i(by) i>> band(i, 31))), ¬ b2i(by) < 0 ∧ ¬ band(i, 31) ≤ 0

User applied rule cut formula

And obtained the following new goals

Proof step 7:
band(i, 31) ≤ 0 ⊦ b2i(by) i>> band(i, 31) = b2i(i2b(b2i(by) i>> band(i, 31))), ¬ b2i(by) < 0 ∧ ¬ band(i, 31) ≤ 0
Proof step 9:
⊦ band(i, 31) ≤ 0, b2i(by) i>> band(i, 31) = b2i(i2b(b2i(by) i>> band(i, 31))), ¬ b2i(by) < 0 ∧ ¬ band(i, 31) ≤ 0

Rule argument

fma: band(i, 31) ≤ 0

Additional information

Used formulas: band(i, 31) ≤ 0