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Proof step 12 from proof valid-recs-next-samerecs (previous step)

# wlar = # apebs, wlar[m1].status = used, subarray(wlar[m, wl-entry(m0, stat)], 0, m + 1)[m1] = wl-entry(m6, stat0), recs[apebs[m1].vidhdr.vol × apebs[m1].vidhdr.leb] = recovery-entry(m1, m4), subarray(apebs, 0, m + 1)[m1] = mkpeb(aehdr, avhdr, buf, m5, boolvar), m1 + 1 < # apebs, m < # apebs, m1 < m, m1 < # apebs, apebs[m1].vidhdr.vol × apebs[m1].vidhdr.leb ∈ recs ⊦ stat = used, stat0 = used ∧ avhdr.vol = apebs[m1].vidhdr.vol ∧ avhdr.leb = apebs[m1].vidhdr.leb

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 13:
# wlar = # apebs, wlar[m1].status = used, subarray(apebs, 0, m + 1)[m1] = mkpeb(aehdr, avhdr, buf, m5, boolvar), recs[avhdr0.vol × avhdr0.leb] = recovery-entry(m1, m4), subarray(wlar[m, wl-entry(m0, stat)], 0, m + 1)[m1] = wl-entry(m6, stat0), apebs[m1] = mkpeb(aehdr0, avhdr0, buf0, m2, boolvar0), m1 < # apebs, m1 < m, m < # apebs, m1 + 1 < # apebs, avhdr0.vol × avhdr0.leb ∈ recs ⊦ stat = used, stat0 = used ∧ avhdr.vol = avhdr0.vol ∧ avhdr.leb = avhdr0.leb

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[m1], aehdr0, avhdr0, buf0, m2, boolvar0]

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[m1], aehdr0, avhdr0, buf0, m2, boolvar0