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Proof step 21 from proof prepost-init-vols-mappings (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: ubi-base name: valid-vtbl seq: ⊦ valid-vtbl(apebs, vols, wlar, n0) ↔ n0 < # apebs ∧ n0 < # wlar ∧ wlar[n0].status = used ∧ apebs[n0].vidhdr.vol = VTBL_VOLID ∧ apebs[n0].vidhdr.leb = VTBL_LNUM ∧ is-encoded(to-vtbl(vols), apebs[n0].data) subst: [n0, wlar, vols, apebs] → [n, wlar, vols, apebs] flags: <all paths>

Additional information

Used simplifier rules: ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)% ⊦ wl-entry(m, stat).status = stat; (s)% ⊦ v × m = v0 × m0 ↔ v = v0 ∧ m = m0; (ws) Used terms: n, wlar, vols, apebs