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Proof step 12 from proof vols-is-max-is-min-eraseq (previous step)

# apebs = # wlar1, # wlar0 = # wlar1, apebs[n0] = mkpeb(aehdr, avhdr, buf, m2, boolvar), bflipset-cons(bflipset0, wlar0), bflipset-cons(bflipset, wlar1), is-encoded(vtbl, buf), unique-sqns(apebs), valid-ebatbl(apebs, wlar0, vols0, n0), valid-ebatbl(apebs, wlar1, vols1, m0), valid-eraseq(apebs, q0), valid-eraseq(wlar0, q0), valid-eraseq(q0), valid-eraseq(apebs, q1), valid-eraseq(wlar1, q1), valid-eraseq(q1), valid-eraseq-strong(apebs, vtbl, q0), valid-global-sqn(apebs, n1), valid-global-sqn(apebs, m1), valid-vtbl(apebs, vols0, wlar0, n0), valid-vtbl(apebs, vols1, wlar1, m0), valid-wl(apebs, wlar0), valid-wl(apebs, wlar1), lref ∈ q0, ∀ v. (v ∈ vols1 ↔ v ∈ vols0) ∧ (v ∈ vols1 → # vols1[v] = # vols0[v] ∧ (∀ m. m < # vols1[v] ∧ vols1[v][m] ≠ unmapped → vols1[v][m] = vols0[v][m])) ⊦ lref = none, VTBL_VOLID ∈ vols0, VTBL_VOLID ∈ vols1, lref ∈ q1

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: erasequeue name: queue-in-vl seq: ⊦ lref ∈ q ↔ (∃ n. eq-entry(n, lref) ∈ q) subst: [q, lref] → [q0, lref] flags: <all paths>

Additional information

Used terms: q0, lref