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Proof step 5 from proof in-eraseq-strong-not-valid (previous step)

avhdr.sqn = valid-sqns(v, m, apebs).max, apebs[n] = mkpeb(aehdr, avhdr, buf, m0, boolvar), m < # vols[v], valid-eraseq-strong(apebs, to-vtbl(vols), q), valid-peb(v, m, mkpeb(aehdr, avhdr, buf, m0, boolvar)), n ∈ q, v ∈ vols ⊦

User applied rule structural induction

And obtained the following new goals

Proof step 6:
avhdr.sqn = valid-sqns(v, m, apebs).max, apebs[n] = mkpeb(aehdr, avhdr, buf, m0, boolvar), m < # vols[v], valid-eraseq-strong(apebs, to-vtbl(vols), eqent + q0), valid-peb(v, m, mkpeb(aehdr, avhdr, buf, m0, boolvar)), v ∈ vols, n ∈ eqent + q0, ∀ avhdr, v, m, apebs, n, aehdr, buf, m0, boolvar, vols. ¬ ( avhdr.sqn = valid-sqns(v, m, apebs).max ∧ apebs[n] = mkpeb(aehdr, avhdr, buf, m0, boolvar) ∧ m < # vols[v] ∧ valid-eraseq-strong(apebs, to-vtbl(vols), q0) ∧ valid-peb(v, m, mkpeb(aehdr, avhdr, buf, m0, boolvar)) ∧ n ∈ q0 ∧ v ∈ vols) ⊦

Rule argument

indvar: q

Additional information

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