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Proof step 23 from proof valid-wl-use (previous step)

# apebs = # wlar, apebs[n] = mkpeb(aehdr1, avhdr1, buf1, m2, boolvar1), n < # wlar, valid-sqns(avhdr0.vol, avhdr0.leb, apebs) ≠ ∅ → valid-sqns(avhdr0.vol, avhdr0.leb, apebs).max < avhdr0.sqn, ∀ m. m < # wlar ∧ m ≠ n ∧ wlar[m].status = used → apebs[m].vidhdr.vol ≠ avhdr0.vol ∨ apebs[m].vidhdr.leb ≠ avhdr0.leb, ∀ n. n < # wlar → (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, m. valid-peb(v, m, apebs[n]) ∧ apebs[n].vidhdr.sqn = valid-sqns(v, m, apebs).max)), ∃ v, m. valid-peb(v, m, mkpeb(aehdr0, avhdr0, buf0, m1, false)) ⊦ aehdr0 = aechdr(aehdr0.ec)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 24:
# apebs = # wlar, apebs[n] = mkpeb(aehdr1, avhdr1, buf1, m2, boolvar1), n < # wlar, valid-peb(v, m, mkpeb(aehdr0, avhdr0, buf0, m1, false)), valid-sqns(v, m, apebs) ≠ ∅ → valid-sqns(v, m, apebs).max < avhdr0.sqn, ∀ n. n < # wlar → (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, m. valid-peb(v, m, apebs[n]) ∧ apebs[n].vidhdr.sqn = valid-sqns(v, m, apebs).max)), ∀ m0. m0 < # wlar ∧ m0 ≠ n ∧ wlar[m0].status = used → apebs[m0].vidhdr.vol ≠ v ∨ apebs[m0].vidhdr.leb ≠ m ⊦ aehdr0 = aechdr(aehdr0.ec)

Rule argument

Additional information

Used simplifier rules: ⊦ valid-peb(v, m, mkpeb(aehdr, avhdr, buf, m0, boolvar)) → avhdr.leb = m; (s)%⊦ valid-peb(v, m, mkpeb(aehdr, avhdr, buf, m0, boolvar)) → avhdr.vol = v; (s)