[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 275 from proof inv-recover (previous step)

# apebs0 = # wlar, # wlar1 = # wlar, avhdr0.sqn = valid-sqns(VTBL_VOLID, VTBL_LNUM, apebs0).max, recs0[VTBL_VOLID × VTBL_LNUM] = recovery-entry(m, avhdr.sqn), apebs0[m] = mkpeb(aehdr, avhdr, buf0, m0, boolvar), apebs0[vtblpnum1] = mkpeb(aechdr(m2), avhdr0, buf, m1, false), wlar1[vtblpnum1] = wl-entry(m2, used), wlar[vtblpnum1] = wl-entry(m3, stat), nx < # wlar, vtblpnum1 < # wlar, bflipset-cons(bflipset1, wlar1), bflipset-cons(bflipset, wlar), indices-erasing(wlar, nx), is-encoded(to-vtbl(vols1), buf), ubi-io-inv(apebs0), ubi-io-peb-inv(mkpeb(aechdr(m2), avhdr0, buf, m1, false)), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar1, vols1, vtblpnum1), valid-eraseq(q1), valid-eraseq(wlar1, q1), valid-eraseq(apebs0, q1), valid-eraseq(wlar, q), valid-eraseq-stronger(apebs0, q), valid-global-sqn(apebs0, vtblpnum5), valid-global-sqn(apebs0, sqnum), valid-peb(VTBL_VOLID, VTBL_LNUM, mkpeb(aechdr(m2), avhdr0, buf, m1, false)), valid-recs-sqns(apebs0, recs0), VTBL_VOLID × VTBL_LNUM ∈ recs0, stat ≠ erasing → m2 = m3 ⊦ avhdr0 = empty, m = vtblpnum1, stat = used, stat = erroneous, stat = free, dups(nx), m ∈ q, vtblpnum1 ∈ q1, VTBL_VOLID ∈ vols1

User applied rule constructor cut

And obtained the following new goals

Proof step 276:
# wlar1 = # wlar, # apebs0 = # wlar, avhdr0.sqn = valid-sqns(VTBL_VOLID, VTBL_LNUM, apebs0).max, wlar[vtblpnum1] = wl-entry(m3, stat), wlar1[vtblpnum1] = wl-entry(m2, used), apebs0[vtblpnum1] = mkpeb(aechdr(m2), avhdr0, buf, m1, false), apebs0[m] = mkpeb(aehdr, avhdr, buf0, m0, boolvar), recs0[VTBL_VOLID × VTBL_LNUM] = recovery-entry(m, avhdr.sqn), stat = erasing, vtblpnum1 < # wlar, nx < # wlar, bflipset-cons(bflipset, wlar), bflipset-cons(bflipset1, wlar1), indices-erasing(wlar, nx), is-encoded(to-vtbl(vols1), buf), ubi-io-inv(apebs0), ubi-io-peb-inv(mkpeb(aechdr(m2), avhdr0, buf, m1, false)), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar1, vols1, vtblpnum1), valid-eraseq(wlar, q), valid-eraseq(apebs0, q1), valid-eraseq(wlar1, q1), valid-eraseq(q1), valid-eraseq-stronger(apebs0, q), valid-global-sqn(apebs0, sqnum), valid-global-sqn(apebs0, vtblpnum5), valid-peb(VTBL_VOLID, VTBL_LNUM, mkpeb(aechdr(m2), avhdr0, buf, m1, false)), valid-recs-sqns(apebs0, recs0), VTBL_VOLID × VTBL_LNUM ∈ recs0, stat ≠ erasing → m2 = m3 ⊦ avhdr0 = empty, m = vtblpnum1, stat = free, stat = erroneous, stat = used, dups(nx), VTBL_VOLID ∈ vols1, vtblpnum1 ∈ q1, m ∈ q

Rule argument

var: stat

Additional information

Used simplifier rules: wlstatus freely generated by used, free, erroneous, erasing;;