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Proof step 227 from proof inv-recover (previous step)

# apebs0 = # wlar, # wlar1 = # wlar, recs0[VTBL_VOLID × VTBL_LNUM] = recovery-entry(vtblpnum1, avhdr.sqn), apebs0[vtblpnum1] = mkpeb(aehdr, avhdr, buf1, m0, false), wlar[vtblpnum1] = wl-entry(m, stat), stat ≠ used, nx < # wlar, vtblpnum1 < # wlar, bflipset-cons(bflipset1, wlar1), bflipset-cons(bflipset, wlar), indices-erasing(wlar, nx), ubi-io-inv(apebs0), ubi-io-peb-inv(mkpeb(aehdr, avhdr, buf1, m0, 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-recs-sqns(apebs0, recs0), valid-vtbl(apebs0, vols1, wlar1, vtblpnum1), valid-wl(apebs0, wlar1), valid-wl(apebs0, wlar), VTBL_VOLID × VTBL_LNUM ∈ recs0, ¬ dups(nx), ¬ vtblpnum1 ∈ q1, ¬ VTBL_VOLID ∈ vols1, ¬ vtblpnum1 ∈ q, ∀ ladr, m. ladr ∈ recs0 ∧ recs0[ladr].pnum = m ↔ wlar[m].status = used ∧ m < # wlar ∧ apebs0[m].vidhdr.vol = ladr.vol ∧ apebs0[m].vidhdr.leb = ladr.leb ⊦ ⟪decode_vtbl#(copy(apebs0[vtblpnum1].data, 0, mkbuf(LEB_SIZE), 0, LEB_SIZE); ; vtbl, err); vols := ∅; bflipset0 := bflipset ++ vtblpnum1; if err = ESUCCESS then {ubi_init_vols_sizes#(recs0, wlar, apebs0; vtbl, vols); ubi_init_vols_mappings#(vtblpnum1, apebs0; recs0, vols, wlar, q, bflipset0); let n = 0 in ubi_fix_ecs#(n; nx, wlar)}⟫ ( ( err = ESUCCESS → # wlar1 = # wlar ∧ valid-wl(apebs0, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs0, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset0, wlar) ∧ valid-ebatbl(apebs0, wlar, vols, vtblpnum1) ∧ valid-vtbl(apebs0, vols, wlar, vtblpnum1)) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err = ESUCCESS → is-max(apebs0, vols, wlar, q, bflipset0, vtblpnum1, sqnum) ∧ q.lebrefs ⊆ q1.lebrefs ∧ vols1 ⊆ vols ∧ vols⌈vols1, q1⌉))

User applied rule all left

And closed the goal!

Rule argument

pos: left 32 terms: VTBL_VOLID × VTBL_LNUM, vtblpnum1 abort: F discard: T computed: T

Additional information

Used simplifier rules: ⊦ (v × m).vol = v; (s)% ⊦ (v × m).leb = m; (s)% ⊦ recovery-entry(m, m0).pnum = m; (s)% ⊦ wl-entry(m, stat).status = stat; (s) Used terms: VTBL_VOLID × VTBL_LNUM, vtblpnum1