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Proof step 13 from proof valid-recs-in-nonempty-sqns (previous step)

# wlar = # apebs, wlar[m0] = wl-entry(m3, used), recs[avhdr.vol × avhdr.leb] = recovery-entry(m0, m1), apebs[m0] = mkpeb(aehdr, avhdr, buf, m2, boolvar), valid-sqns(avhdr.vol, avhdr.leb, apebs, m) = ∅, m0 + 1 < # apebs, m0 < # apebs, m < # apebs, m0 < m, avhdr.vol × avhdr.leb ∈ recs, ∀ n. n < m → (wlar[n].status = erroneous ↔ apebs[n].bad) ∧ (wlar[n].status = free → apebs[n].vidhdr = empty) ∧ (wlar[n].status ≠ erroneous ∧ wlar[n].status ≠ erasing → apebs[n].echdr = aechdr(wlar[n].ec)) ∧ (wlar[n].status = used → (∃ v, m4. valid-peb(v, m4, apebs[n]) ∧ apebs[n].vidhdr.sqn = valid-sqns(v, m4, apebs, m).max)) ⊦

User applied rule all left

And obtained the following new goals

Proof step 14:
# wlar = # apebs, apebs[m0] = mkpeb(aehdr, avhdr, buf, m2, boolvar), recs[avhdr.vol × avhdr.leb] = recovery-entry(m0, m1), wlar[m0] = wl-entry(m3, used), valid-sqns(avhdr.vol, avhdr.leb, apebs, m) = ∅, m0 < m, m < # apebs, m0 < # apebs, m0 + 1 < # apebs, avhdr.vol × avhdr.leb ∈ recs, m0 < m → (wlar[m0].status = erroneous ↔ apebs[m0].bad) ∧ (wlar[m0].status = free → apebs[m0].vidhdr = empty) ∧ (wlar[m0].status ≠ erroneous ∧ wlar[m0].status ≠ erasing → apebs[m0].echdr = aechdr(wlar[m0].ec)) ∧ (wlar[m0].status = used → (∃ v, m4. valid-peb(v, m4, apebs[m0]) ∧ apebs[m0].vidhdr.sqn = valid-sqns(v, m4, apebs, m).max)) ⊦

Rule argument

pos: left 11 terms: m0 abort: F discard: T computed: T

Additional information

Used terms: m0