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Proof step 41 from proof valid-recs-next-update (previous step)

# wlar = # apebs, wlar[m, wl-entry(n0, used)][m6] = wl-entry(m11, used), recs[v × n, recovery-entry(m, m0)][avhdr.vol × avhdr.leb] = recovery-entry(m8, m9), apebs[m] = mkpeb(aehdr, avidhdr(v, n, m0, m1, m5), buf, m2, boolvar), recs[v × n] = recovery-entry(m3, m4), apebs[m6] = mkpeb(aehdr0, avhdr, buf0, m10, boolvar0), m < # apebs, m6 < # apebs, v × n ∈ recs, m6 ≤ m, ∀ 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 ⊦ m6 = m3, m6 = m, avhdr.vol × avhdr.leb ∈ recs[v × n, recovery-entry(m, m0)] ∧ m8 = m6

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 42:
# wlar = # apebs, apebs[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)][avhdr.vol × avhdr.leb] = recovery-entry(m8, m9), wlar[m6] = wl-entry(m11, used), m6 + 1 < # apebs, m6 < # apebs, m < # apebs, m6 < m, 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 ⊦ m6 = m, m6 = m3, avhdr.vol × avhdr.leb ∈ recs[v × n, recovery-entry(m, m0)] ∧ m8 = m6

Rule argument

Additional information

Used simplifier rules: lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ m +1 = m + 1; (s)% ⊦ m < n → n ≠ 0; (s)%lf: ⊦ m < n ∧ n < n0 → m +1 < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≠ n → (m ≤ n ↔ m < n); (s)% ⊦ m ≠ n → wlar[n, wle][m] = wlar[m]; (s)