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Proof step 10 from proof sgn-mklist-03 (previous step)

mklist(boolvar, m) = boolvar0 + bits ∧ mklist(boolvar, m) ≠ [], boolvar0 ↔ boolvar, ∀ boolvar. sgn(mklist(boolvar, m)) = boolvar ' ⊦ sgn(mklist(boolvar, m)) = boolvar ', m = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ boolvar ∈ mklist(boolvar, m) ↔ m ≠ 0;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ boolvar ' + bits = bits0 → boolvar ∈ bits0; (forward)% ⊦ mklist(boolvar, m) = [] ↔ m = 0;% ⊦ boolvar + bits = boolvar ' + bits;