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Proof step 1 from proof sgn-mklist (conclusion)

⊦ sgn(mklist(boolvar, n) + sgn(boolvar ' + bits)) = sgn(boolvar ' + bits)

User applied rule structural induction

And obtained the following new goals

Proof step 2:
∀ boolvar, bits. sgn(mklist(boolvar, m) + sgn(boolvar ' + bits)) = sgn(boolvar ' + bits) ⊦ sgn(mklist(boolvar, m +1) + sgn(boolvar ' + bits)) = sgn(boolvar ' + bits)

Rule argument

indvar: n

Additional information

Used simplifier rules: sgn-sgn: ⊦ sgn(sgn(bits)) = sgn(bits);%nat freely generated by 0, +1;;% ⊦ mklist(boolvar, 0) = [];% ⊦ [] + bits = bits;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;