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Proof step 52 from proof refine-read-vidhdr (previous step)

pebs[m2] = mkpeb(buf1, m, false), apebs[m2] = mkpeb(aehdr, avhdr1, buf0, m1, false), subarray(buf1, EB_PAGE_SIZE, EB_PAGE_SIZE) ≠ emptypage, m2 < # apebs, m2 < # pebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, m, false), mkpeb(aehdr, avhdr1, buf0, m1, false)), is-encoded(vhdr, subarray(buf1, EB_PAGE_SIZE, EB_PAGE_SIZE)), mtd-cons(pebs), ubi-io-inv(apebs), 2 * EB_PAGE_SIZE ≤ PEB_SIZE ⊦ ⟨aubi_io_read_vidhdr#(m2, apebs; avhdr0; isbad, err0)⟩ (avidhdr(vhdr.vol, vhdr.leb, vhdr.sqn, vhdr.size, vhdr.checksum) = avhdr0 ∧ (bitflips ↔ isbad) ∧ ESUCCESS = err0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 53:
apebs[m2] = mkpeb(aehdr, avhdr1, buf0, m1, false), pebs[m2] = mkpeb(buf1, m, false), vhdr = vidhdr(v, m0, m3, m4, m5), m2 < # pebs, m2 < # apebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, m, false), mkpeb(aehdr, avhdr1, buf0, m1, false)), is-encoded(vhdr, subarray(buf1, EB_PAGE_SIZE, EB_PAGE_SIZE)), mtd-cons(pebs), ubi-io-inv(apebs), 2 * EB_PAGE_SIZE ≤ PEB_SIZE ⊦ ⟨aubi_io_read_vidhdr#(m2, apebs; avhdr0; isbad, err0)⟩ (avidhdr(v, m0, m3, m4, m5) = avhdr0 ∧ (bitflips ↔ isbad) ∧ ESUCCESS = err0), subarray(buf1, EB_PAGE_SIZE, EB_PAGE_SIZE) = emptypage

Rule argument

spec: vidheader name: elim seq: ⊦ ( ((v = vhdr.vol ∧ m = vhdr.leb) ∧ m0 = vhdr.sqn) ∧ m1 = vhdr.size) ∧ m2 = vhdr.checksum ↔ vhdr = vidhdr(v, m, m0, m1, m2) subst: [vhdr, v, m, m0, m1, m2] → [vhdr, v, m0, m3, m4, m5]

Additional information

Used simplifier rules: ⊦ ( ((v = vhdr.vol ∧ m = vhdr.leb) ∧ m0 = vhdr.sqn) ∧ m1 = vhdr.size) ∧ m2 = vhdr.checksum ↔ vhdr = vidhdr(v, m, m0, m1, m2); (elim) Used terms: vhdr, v, m0, m3, m4, m5