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Proof step 18 from proof inv-read (previous step)

# apebs = # wlar, vols[v][vtblpnum4] = ⌜m⌝ , wlar[m] = wl-entry(m0, used), m ≠ vtblpnum5, vtblpnum4 < # vols[v], m < # wlar, bflipset-cons(bflipset, wlar), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum5), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-peb(v, vtblpnum4, apebs[m]), valid-vtbl(apebs, vols, wlar, vtblpnum5), valid-wl(apebs, wlar), v ∈ vols, vtblpnum3 + n ≤ LEB_SIZE, n0 + n ≤ # buf, ¬ apebs[m].bad, ¬ VTBL_VOLID ∈ vols, ¬ vtblpnum5 ∈ q, ¬ m ∈ q ⊦ ⟪fail_or_success#(; ; err); bitflips := ?; if err = ESUCCESS then buf := copy(apebs[m].data, vtblpnum3, buf, n0, n) else choose buf1 with # buf1 = # buf ∧ range=(buf1, 0, buf, 0, n0) ∧ range=(buf1, n0 + n, buf, n0 + n, # buf - n0 + n) in buf := buf1; if err = ESUCCESS ∧ bitflips then bflipset := bflipset ++ m⟫ bflipset-cons(bflipset, wlar)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 19:
# apebs = # wlar, wlar[m] = wl-entry(m0, used), vols[v][vtblpnum4] = ⌜m⌝ , apebs[m] = mkpeb(aehdr, avhdr, buf0, m1, boolvar), ¬ boolvar, m < # wlar, vtblpnum4 < # vols[v], bflipset-cons(bflipset, wlar), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum5), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-peb(v, vtblpnum4, apebs[m]), valid-vtbl(apebs, vols, wlar, vtblpnum5), valid-wl(apebs, wlar), v ∈ vols, n0 + n ≤ # buf, vtblpnum3 + n ≤ LEB_SIZE ⊦ ⟪fail_or_success#(; ; err); bitflips := ?; if err = ESUCCESS then buf := copy(buf0, vtblpnum3, buf, n0, n) else choose buf1 with # buf1 = # buf ∧ range=(buf1, 0, buf, 0, n0) ∧ range=(buf1, n0 + n, buf, n0 + n, # buf - n0 + n) in buf := buf1; if err = ESUCCESS ∧ bitflips then bflipset := bflipset ++ m⟫ bflipset-cons(bflipset, wlar), m = vtblpnum5, VTBL_VOLID ∈ vols, vtblpnum5 ∈ q, m ∈ q

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, buf0, m1, 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, buf0, m1, boolvar