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Proof step 21 from proof band-associativity (previous step)

bitsand(int2bits(i0), int2bits(j)) ≠ [] ∧ int2bits(i) ≠ [] ⊦ bitsand(sgn(bitsand(int2bits(i), int2bits(i0))), int2bits(j)) = [], sgn(bitsand(bitsand(int2bits(i0), int2bits(j)), int2bits(i))) = sgn(bitsand(bitsand(int2bits(i), int2bits(i0)), int2bits(j)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: and-notempty-09: ⊦ bitsand(int2bits(i), int2bits(i0)) ≠ [];% ⊦ int2bits(j) ≠ [];