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Proof step 5 from proof sgn-base-05 (previous step)

bits0 = boolvar + bits ⊦ sgn((¬ boolvar)' + bits0) = (¬ boolvar)' + bits0, bits0 = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
⊦ sgn((¬ boolvar)' + boolvar ' + bits) = (¬ boolvar)' + boolvar ' + bits

Rule argument

Additional information

Used simplifier rules: ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ boolvar ' + bits ≠ [];% ⊦ boolvar + bits = boolvar ' + bits;