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

8 < # int2bits(band(b2i(by1), b2i(by2))) ⊦ # int2bits(b2i(by1)) < 9 ∧ # int2bits(b2i(by2)) < 9, band(b2i(by1), b2i(by2)) = cast(8, band(b2i(by1), b2i(by2)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
8 < # int2bits(band(b2i(by1), b2i(by2))) ⊦ band(b2i(by1), b2i(by2)) = cast(8, band(b2i(by1), b2i(by2))), ¬ 9 ≤ # int2bits(b2i(by1)) ∧ ¬ 9 ≤ # int2bits(b2i(by2))

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ m < n ↔ n ≤ m;