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Proof step 8 from proof sgn-mklist-03 (previous step)

mklist(boolvar, m) ≠ [] ∧ (mklist(boolvar, m).first ↔ 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

Proof step 9:
mklist(boolvar, m).first ↔ boolvar, ∀ boolvar. sgn(mklist(boolvar, m)) = boolvar ' ⊦ sgn(mklist(boolvar, m)) = boolvar ', m = 0

Rule argument

Additional information

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