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Proof step 31 from proof prepost-init-vols-mappings (previous step)

# wlar = # apebs, avhdr.leb = VTBL_LNUM, avhdr0.leb = VTBL_LNUM, wlar[n].status = used, avhdr0.vol = VTBL_VOLID, avhdr.vol = VTBL_VOLID, wlar[n0] = wl-entry(m4, used), apebs[n0] = mkpeb(aehdr0, avhdr0, buf0, m1, false), apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar), recs0[VTBL_VOLID × VTBL_LNUM] = recovery-entry(n0, m3), avhdr0.valid?, n < # apebs, n0 < # apebs, bflipset-cons(bflipset, wlar), is-encoded(to-vtbl(vols), buf), unique-sqns(apebs), unmapped-vols(vols), valid-eraseq(wlar, q), valid-eraseq-stronger(apebs, q), valid-wl(apebs, wlar), VTBL_VOLID × VTBL_LNUM ∈ recs0 ⊦ n0 = n, n ∈ q, VTBL_VOLID ∈ vols

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 32:
# wlar = # apebs, avhdr0.leb = VTBL_LNUM, avhdr.leb = VTBL_LNUM, avhdr.vol = VTBL_VOLID, avhdr0.vol = VTBL_VOLID, recs0[VTBL_VOLID × VTBL_LNUM] = recovery-entry(n0, m3), apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar), apebs[n0] = mkpeb(aehdr0, avhdr0, buf0, m1, false), wlar[n0] = wl-entry(m4, used), wlar[n] = wl-entry(m0, stat), stat = used, avhdr0.valid?, n0 < # apebs, n < # apebs, bflipset-cons(bflipset, wlar), is-encoded(to-vtbl(vols), buf), unique-sqns(apebs), unmapped-vols(vols), valid-eraseq(wlar, q), valid-eraseq-stronger(apebs, q), valid-wl(apebs, wlar), VTBL_VOLID × VTBL_LNUM ∈ recs0 ⊦ n0 = n, VTBL_VOLID ∈ vols, n ∈ q

Rule argument

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

Additional information

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