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Proof step 3 from proof crash-neutral-write-echdr (previous step)

apebs[n].echdr = empty, apebs0 = apebs, aehdr.valid?, n < # apebs, ubi-io-inv(apebs), ¬ apebs[n].bad ⊦ ⟨aubi_io_write_echdr#(n, aehdr; apebs; err)⟩ (apebs0 = apebs)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
apebs[n] = mkpeb(aehdr0, avhdr, buf, m, boolvar), aehdr0 = empty, apebs0 = apebs, ¬ boolvar, aehdr.valid?, n < # apebs, ubi-io-inv(apebs) ⊦ ⟨aubi_io_write_echdr#(n, aehdr; apebs; err)⟩ (apebs0 = apebs)

Rule argument

spec: apeb name: elim seq: ⊦ ( ( (aehdr = apeb.echdr ∧ avhdr = apeb.vidhdr) ∧ buf = apeb.data) ∧ m = apeb.fill) ∧ (boolvar ↔ apeb.bad) ↔ apeb = mkpeb(aehdr, avhdr, buf, m, boolvar) subst: [apeb, aehdr, avhdr, buf, m, boolvar] → [apebs[n], aehdr0, avhdr, buf, m, boolvar]

Additional information

Used simplifier rules: ⊦ ( ((aehdr = apeb.echdr ∧ avhdr = apeb.vidhdr) ∧ buf = apeb.data) ∧ m = apeb.fill) ∧ (boolvar ↔ apeb.bad) ↔ apeb = mkpeb(aehdr, avhdr, buf, m, boolvar); (elim) Used terms: apebs[n], aehdr0, avhdr, buf, m, boolvar