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Proof step 6 from proof valid-vtbl-map-indices-erasing (previous step)

apebs[m].vidhdr.leb = VTBL_LNUM, wlar[m].status = used, apebs[m].vidhdr.vol = VTBL_VOLID, m < # apebs, m < # wlar, indices-erasing(wlar, nx), is-encoded(to-vtbl(vols), apebs[m].data), valid-indices(wlar, nx) ⊦ dups(nx), valid-vtbl(apebs, vols, wlar.mapIndices(nx, f), m)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 7:
avhdr.leb = VTBL_LNUM, wlar[m].status = used, avhdr.vol = VTBL_VOLID, apebs[m] = mkpeb(aehdr, avhdr, buf, m0, boolvar), m < # wlar, m < # apebs, indices-erasing(wlar, nx), is-encoded(to-vtbl(vols), buf), valid-indices(wlar, nx) ⊦ dups(nx), valid-vtbl(apebs, vols, wlar.mapIndices(nx, f), m)

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[m], 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[m], aehdr, avhdr, buf, m0, boolvar