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Proof step 2 from proof sgn-mklist (previous step)

∀ boolvar, bits. sgn(mklist(boolvar, m) + sgn(boolvar ' + bits)) = sgn(boolvar ' + bits) ⊦ sgn(mklist(boolvar, m +1) + sgn(boolvar ' + bits)) = sgn(boolvar ' + bits)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ m + n = n + m;% ⊦ (m + n0) + n1 = m + n0 + n1;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ mklist(boolvar, n) + boolvar ' = boolvar ' + mklist(boolvar, n);% ⊦ mklist(boolvar, 1) = boolvar ';% ⊦ mklist(boolvar, m + n) = mklist(boolvar, m) + mklist(boolvar, n);% ⊦ m +1 = m + 1;