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Proof step 8 from proof valid-recs-next-update (previous step)

# wlar = # apebs, subarray(apebs, 0, m + 1)[m6] = mkpeb(aehdr0, avhdr, buf0, m10, boolvar0), recs[v × n] = recovery-entry(m3, m4), apebs[m] = mkpeb(aehdr, avidhdr(v, n, m0, m1, m5), buf, m2, boolvar), recs[v × n, recovery-entry(m, m0)][v0 × m7] = recovery-entry(m8, m9), subarray(wlar[m, wl-entry(n0, used)][m3, wl-entry(n1, erasing)], 0, m + 1)[m6] = wl-entry(m11, stat), m < # apebs, v × n ∈ recs, ∀ ladr, m6. ladr ∈ recs ∧ recs[ladr].pnum = m6 ↔ wlar[m6].status = used ∧ m6 < m ∧ apebs[m6].vidhdr.vol = ladr.vol ∧ apebs[m6].vidhdr.leb = ladr.leb ⊦ v0 × m7 ∈ recs[v × n, recovery-entry(m, m0)] ∧ m8 = m6 ↔ stat = used ∧ ¬ m < m6 ∧ avhdr.vol = v0 ∧ avhdr.leb = m7

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: right 1

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