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Proof step 15 from proof cast-band (previous step)

int2bits(j) ≠ [] ∧ false ' = false ' ⊦ bits2int(bitsand(int2bits(bits2int([])), false ')) = bits2int(false ')

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
⊦ bits2int(bitsand(int2bits(bits2int([])), false ')) = 0

Rule argument

Additional information

Used simplifier rules: ⊦ int2bits(j) ≠ [];% ⊦ bits2int(false ') = 0;