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Proof step 1 from proof lebrefs-append-none (conclusion)

⊦ (q + eq-entry(n, none) ').lebrefs = q.lebrefs

Heuristic structural induction applied rule structural induction

And obtained the following new goals

Proof step 2:
∀ n. (q0 + eq-entry(n, none) ').lebrefs = q0.lebrefs ⊦ ((eqent + q0) + eq-entry(n, none) ').lebrefs = (eqent + q0).lebrefs

Rule argument

term: q

Additional information

Used simplifier rules: lebrefs-none: ⊦ eq-entry(n, none) '.lebrefs = ∅;%lebrefs-base: ⊦ [].lebrefs = ∅;%queue freely generated by [], +;;% ⊦ [] + q = q; (s)%a: ⊦ (q + q0) + q1 = q + q0 + q1; from specification list[erasequeue-base]