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Proof step 3 from proof in-valid-eraseqp-valid-lref (previous step)

valid-eraseq(apebs, q), valid-peb(v, m, apebs[n]), eq-entry(n, lref) ∈ q ⊦ lref = v × m

Heuristic structural induction applied rule structural induction

And obtained the following new goals

Proof step 4:
valid-eraseq(apebs, eqent + q0), valid-peb(v, m, apebs[n]), eq-entry(n, lref) ∈ eqent + q0, ∀ apebs, v, m, n, lref. valid-eraseq(apebs, q0) ∧ valid-peb(v, m, apebs[n]) ∧ eq-entry(n, lref) ∈ q0 → lref = v × m ⊦ lref = v × m

Rule argument

term: q

Additional information

Used simplifier rules: queue freely generated by [], +;;% ⊦ ¬ eqent ∈ []; (s)