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Proof step 6 from proof sgn-mklist-03 (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
∀ boolvar. sgn(mklist(boolvar, m)) = boolvar ' ⊦ sgn(boolvar ' + mklist(boolvar, m)) = boolvar ', m = 0, mklist(boolvar, m).first ↔ boolvar

Rule argument

Additional information

Used simplifier rules: ⊦ mklist(boolvar, m) = [] ↔ m = 0;