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Proof step 3 from proof valid-vtbl-update-vols (previous step)

apebs[n0].vidhdr.leb = VTBL_LNUM, wlar[n0].status = used, apebs[n0].vidhdr.vol = VTBL_VOLID, n0 < # wlar, n0 < # apebs, v ∈ vols ⊦ is-encoded(to-vtbl(vols)[v, # vols[v]], apebs[n0].data) ↔ is-encoded(to-vtbl(vols), apebs[n0].data)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
avhdr.leb = VTBL_LNUM, wlar[n0].status = used, avhdr.vol = VTBL_VOLID, apebs[n0] = mkpeb(aehdr, avhdr, buf, m, boolvar), n0 < # apebs, n0 < # wlar, v ∈ vols ⊦ is-encoded(to-vtbl(vols)[v, # vols[v]], buf) ↔ is-encoded(to-vtbl(vols), buf)

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[n0], 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[n0], aehdr, avhdr, buf, m, boolvar