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Proof step 3 from proof refine-write-vidhdr (previous step)

apebs[m].vidhdr = empty, apebs[m].echdr.valid?, avhdr.valid?, m < # apebs, abs(pebs, apebs), mtd-cons(pebs), ubi-io-inv(apebs), ¬ apebs[m].bad ⊦ ⟪ubi_io_write_vidhdr#(m, avhdr, EB_PAGE_SIZE; pebs; err)⟫ ⟨aubi_io_write_vidhdr#(m, avhdr; apebs; err0)⟩ (abs(pebs, apebs) ∧ err = err0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
apebs[m] = mkpeb(aehdr, avhdr0, buf, m0, boolvar), avhdr0 = empty, ¬ boolvar, avhdr.valid?, aehdr.valid?, m < # apebs, abs(pebs, apebs), mtd-cons(pebs), ubi-io-inv(apebs) ⊦ ⟪ubi_io_write_vidhdr#(m, avhdr, EB_PAGE_SIZE; pebs; err)⟫ ⟨aubi_io_write_vidhdr#(m, avhdr; apebs; err0)⟩ (abs(pebs, apebs) ∧ err = err0)

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[m], aehdr, avhdr0, buf, m0, 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[m], aehdr, avhdr0, buf, m0, boolvar