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Proof step 3 from proof prepost-init-vols-mappings (previous step)

# wlar = # apebs, q0 = q, bflipset-cons(bflipset, wlar), unique-sqns(apebs), unmapped-vols(vols), valid-eraseq(wlar, q), valid-eraseq-stronger(apebs, q), valid-recs(apebs, wlar, recs), valid-vtbl(apebs, vols, wlar, n), valid-wl(apebs, wlar), ¬ VTBL_VOLID ∈ vols, ¬ n ∈ q ⊦ ⟪ubi_init_vols_mappings#(n, apebs; recs, vols, wlar, q, bflipset)⟫ ( valid-ebatbl(apebs, wlar, vols, n) ∧ valid-vtbl(apebs, vols, wlar, n) ∧ ¬ VTBL_VOLID ∈ vols ∧ # apebs = # wlar ∧ bflipset-cons(bflipset, wlar) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(wlar, q) ∧ q0 ⊆ q ∧ (∃ vtbl. is-encoded(vtbl, apebs[n].data) ∧ valid-eraseq-strong(apebs, vtbl, q)))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

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[n], 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[n], aehdr, avhdr, buf, m, boolvar