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Proof step 8 from proof sgn-not-empty (previous step)

bits0 = boolvar0 + bits, sgn(boolvar ' + bits0) = [] ⊦ bits0 = [], sgn(bits0) = [], boolvar0 ↔ boolvar

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
sgn(boolvar ' + boolvar0 ' + bits) = [] ⊦ boolvar0 ↔ boolvar, sgn(boolvar0 ' + bits) = []

Rule argument

Additional information

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