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Proof step 6 from proof lf-valid-eraseq-stronger-notin-recs (previous step)

# apebs = # wlar, apebs[n].vidhdr.sqn = valid-sqns(v, m, apebs).max, n < # wlar, valid-eraseq(wlar, q), valid-eraseq-stronger(apebs, q), valid-peb(v, m, apebs[n]), valid-recs(apebs, wlar, recs), valid-wl(apebs, wlar) ⊦ v × m ∈ recs

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 7:
# apebs = # wlar, avhdr.sqn = valid-sqns(v, m, apebs).max, apebs[n] = mkpeb(aehdr, avhdr, buf, m0, boolvar), n < # wlar, valid-eraseq(wlar, q), valid-eraseq-stronger(apebs, q), valid-peb(v, m, apebs[n]), valid-recs(apebs, wlar, recs), valid-wl(apebs, wlar) ⊦ v × m ∈ recs

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, m0, 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, m0, boolvar