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Proof step 3 from proof valid-peb-write-valid-peb (previous step)

n < # apebs, ubi-io-inv(apebs), valid-peb(apebs[n]), apebs[n].fill ≤ LEB_SIZE, apebs[n].fill ≤ m0, m0 ≤ LEB_SIZE ⊦ valid-peb(mkpeb(apebs[n].echdr, apebs[n].vidhdr, subarray(apebs[n].data, 0, m0) + buf1, m1, false))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
apebs[n] = mkpeb(aehdr, avhdr, buf, m, boolvar), n < # apebs, ubi-io-inv(apebs), valid-peb(apebs[n]), m0 ≤ LEB_SIZE, m ≤ m0, m ≤ LEB_SIZE ⊦ valid-peb(mkpeb(aehdr, avhdr, subarray(buf, 0, m0) + buf1, m1, false))

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], aehdr, avhdr, buf, m2, 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], aehdr, avhdr, buf, m2, boolvar