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Proof step 9 from proof refine-read-vidhdr (previous step)

apebs[m2] = mkpeb(aehdr, avhdr1, buf0, m1, false), buf = mkbuf(EB_PAGE_SIZE), m2 < # apebs, m2 < # pebs, abs(pebs, apebs), mtd-cons(pebs), ubi-io-inv(apebs), ¬ pebs[m2].bad ⊦ ⟪ubi_io_read#(m2, EB_PAGE_SIZE, 0, EB_PAGE_SIZE, pebs; buf; bitflips, err); avhdr := avhdr0; if err = ESUCCESS then if buf = mkempbuf(# buf) then avhdr := empty else let vhdr = ? in {decode_vidheader#(EB_PAGE_SIZE, buf; vhdr; err); if err = ESUCCESS then avhdr := avidhdr(vhdr.vol, vhdr.leb, vhdr.sqn, vhdr.size, vhdr.checksum)}⟫ ⟨aubi_io_read_vidhdr#(m2, apebs; avhdr0; isbad, err0)⟩ (avhdr = avhdr0 ∧ (bitflips ↔ isbad) ∧ err = err0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 10:
apebs[m2] = mkpeb(aehdr, avhdr1, buf0, m1, false), pebs[m2] = mkpeb(buf1, m, boolvar), ¬ boolvar, buf = mkbuf(EB_PAGE_SIZE), m2 < # pebs, m2 < # apebs, abs(pebs, apebs), mtd-cons(pebs), ubi-io-inv(apebs) ⊦ ⟪ubi_io_read#(m2, EB_PAGE_SIZE, 0, EB_PAGE_SIZE, pebs; buf; bitflips, err); avhdr := avhdr0; if err = ESUCCESS then if buf = mkempbuf(# buf) then avhdr := empty else let vhdr = ? in {decode_vidheader#(EB_PAGE_SIZE, buf; vhdr; err); if err = ESUCCESS then avhdr := avidhdr(vhdr.vol, vhdr.leb, vhdr.sqn, vhdr.size, vhdr.checksum)}⟫ ⟨aubi_io_read_vidhdr#(m2, apebs; avhdr0; isbad, err0)⟩ (avhdr = avhdr0 ∧ (bitflips ↔ isbad) ∧ err = err0)

Rule argument

spec: peb name: elim seq: ⊦ (buf = peb.data ∧ m = peb.fill) ∧ (boolvar ↔ peb.bad) ↔ peb = mkpeb(buf, m, boolvar) subst: [peb, buf, m, boolvar] → [pebs[m2], buf1, m, boolvar]

Additional information

Used simplifier rules: ⊦ (buf = peb.data ∧ m = peb.fill) ∧ (boolvar ↔ peb.bad) ↔ peb = mkpeb(buf, m, boolvar); (elim) Used terms: pebs[m2], buf1, m, boolvar