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Proof step 1 from proof sgn-mklist-02 (conclusion)

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

Heuristic structural induction applied rule structural induction

And obtained the following new goals

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

Rule argument

term: n

Additional information

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