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Proof step 4 from proof sgn-true-mklist (previous step)

¬(mklist(false, i→n(i)) + bits ≠ [] ∧ ((mklist(false, i→n(i)) + bits).first ↔ ¬ true)), 0 < i ⊦ sgn(true ' + mklist(false, i→n(i)) + bits) = true ' + mklist(false, i→n(i)) + bits

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
0 < i ⊦ sgn(true ' + mklist(false, i→n(i)) + bits) = true ' + mklist(false, i→n(i)) + bits, ¬ (mklist(false, i→n(i)) + bits).first ∧ (bits ≠ [] ∨ i ≠ 0)

Rule argument

Additional information

Used simplifier rules: ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;% ⊦ i→n(i) = 0 ↔ i = 0;% ⊦ mklist(boolvar, m) = [] ↔ m = 0;% ⊦ ¬ bits + bits0 ≠ [] ↔ bits = [] ∧ bits0 = [];