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Proof step 12 from proof ubi-is-max-unique (previous step)

# apebs = # wlar1, bflipset-cons(bflipset1, wlar1), is-encoded(vtbl, apebs[m0].data), is-max(apebs, vols0, wlar0, q0, bflipset0, n0, n1), unique-sqns(apebs), valid-ebatbl(apebs, wlar1, vols1, m0), valid-eraseq(apebs, q1), valid-eraseq(wlar1, q1), valid-eraseq(q1), valid-eraseq-strong(apebs, vtbl, q1), valid-global-sqn(apebs, m1), valid-vtbl(apebs, vols1, wlar1, m0), valid-wl(apebs, wlar1), vols1 ⊆ vols0 ⊦ m0 ∈ q1, VTBL_VOLID ∈ vols1, vols0 ⊆ vols1, # wlar1 = # wlar0 ∧ valid-global-sqn(apebs, n1) ∧ valid-wl(apebs, wlar0) ∧ valid-eraseq(q0) ∧ valid-eraseq(wlar0, q0) ∧ valid-eraseq(apebs, q0) ∧ ¬ VTBL_VOLID ∈ vols0 ∧ bflipset-cons(bflipset0, wlar0) ∧ valid-ebatbl(apebs, wlar0, vols0, n0) ∧ valid-vtbl(apebs, vols0, wlar0, n0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 13:
# apebs = # wlar1, apebs[m0] = mkpeb(aehdr, avhdr, buf, m, boolvar), bflipset-cons(bflipset1, wlar1), is-encoded(vtbl, buf), is-max(apebs, vols0, wlar0, q0, bflipset0, n0, n1), unique-sqns(apebs), valid-ebatbl(apebs, wlar1, vols1, m0), valid-eraseq(q1), valid-eraseq(wlar1, q1), valid-eraseq(apebs, q1), valid-eraseq-strong(apebs, vtbl, q1), valid-global-sqn(apebs, m1), valid-vtbl(apebs, vols1, wlar1, m0), valid-wl(apebs, wlar1), vols1 ⊆ vols0 ⊦ VTBL_VOLID ∈ vols1, m0 ∈ q1, vols0 ⊆ vols1, # wlar1 = # wlar0 ∧ valid-global-sqn(apebs, n1) ∧ valid-wl(apebs, wlar0) ∧ valid-eraseq(q0) ∧ valid-eraseq(wlar0, q0) ∧ valid-eraseq(apebs, q0) ∧ ¬ VTBL_VOLID ∈ vols0 ∧ bflipset-cons(bflipset0, wlar0) ∧ valid-ebatbl(apebs, wlar0, vols0, n0) ∧ valid-vtbl(apebs, vols0, wlar0, n0)

Rule argument

spec: apeb name: elim seq: ⊦ ( ( (aehdr = apeb.echdr ∧ avhdr = apeb.vidhdr) ∧ buf = apeb.data) ∧ m = apeb.fill) ∧ (boolvar ↔ apeb.bad) ↔ apeb = mkpeb(aehdr, avhdr, buf, m, boolvar) subst: [apeb, aehdr, avhdr, buf, m, boolvar] → [apebs[m0], aehdr, avhdr, buf, m, boolvar]

Additional information

Used simplifier rules: ⊦ ( ((aehdr = apeb.echdr ∧ avhdr = apeb.vidhdr) ∧ buf = apeb.data) ∧ m = apeb.fill) ∧ (boolvar ↔ apeb.bad) ↔ apeb = mkpeb(aehdr, avhdr, buf, m, boolvar); (elim) Used terms: apebs[m0], aehdr, avhdr, buf, m, boolvar