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Proof step 1 from proof and-rec-09 (conclusion)

⊦ bits ≠ [] → bitsand(boolvar ' + boolvar0 ', boolvar1 ' + bits) = bitsand(boolvar ', boolvar1 ' + bits.butlast) + (boolvar0 ∧ bits.last)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ bits = [], bitsand(boolvar ' + boolvar0 ', boolvar1 ' + bits) = bitsand(boolvar ', boolvar1 ' + bits.butlast) + (boolvar0 ∧ bits.last)'

Rule argument

Additional information

Used simplifier rules: ⊦ bits + boolvar = bits + boolvar ';