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Proof step 1 from proof mk-in (conclusion)

⊦ a ∈ mklist(a, m) ↔ m ≠ 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ m = 0, a ∈ mklist(a, m)

Rule argument

Additional information

Used simplifier rules: mk-zero: ⊦ mklist(a, 0) = [];%in-empty: ⊦ ¬ a ∈ []; from specification list