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Proof step 6 from proof band-notneg-01 (previous step)

bitsand(int2bits(i), int2bits(j)) ≠ [], 0 ≤ j, bitsand(int2bits(i), int2bits(j)).first ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
0 ≤ j, bitsand(int2bits(i), int2bits(j)).first ⊦

Rule argument

Additional information

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