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Proof step 4 from proof valid-vtbl-update-vols (previous step)

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)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 5:
avhdr.leb = VTBL_LNUM, avhdr.vol = VTBL_VOLID, apebs[n0] = mkpeb(aehdr, avhdr, buf, m, boolvar), wlar[n0] = wl-entry(m0, stat), stat = used, n0 < # wlar, n0 < # apebs, v ∈ vols ⊦ is-encoded(to-vtbl(vols)[v, # vols[v]], buf) ↔ is-encoded(to-vtbl(vols), buf)

Rule argument

spec: wlentry name: elim-02 seq: ⊦ m = wle.ec ∧ stat = wle.status ↔ wle = wl-entry(m, stat) subst: [wle, m, stat] → [wlar[n0], m0, stat]

Additional information

Used simplifier rules: ⊦ m = wle.ec ∧ stat = wle.status ↔ wle = wl-entry(m, stat); (elim) Used terms: wlar[n0], m0, stat