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

pebs[m2].fill = EB_PAGE_SIZE, apebs[m2] = mkpeb(aehdr, empty, buf0, m1, false), buf = mkbuf(EB_PAGE_SIZE), avhdr.valid?, aehdr.valid?, m2 < # apebs, m2 < # pebs, abs(pebs, apebs), mtd-cons(pebs), ubi-io-inv(apebs), ¬ pebs[m2].bad ⊦ ⟪encode_vidheader#(EB_PAGE_SIZE, vidhdr(avhdr.vol, avhdr.leb, avhdr.sqn, avhdr.size, avhdr.checksum); buf; err); if err = ESUCCESS then mtd_asm_write#(m2, EB_PAGE_SIZE, 0, EB_PAGE_SIZE, buf; pebs; err)⟫ ⟨aubi_io_write_vidhdr#(m2, avhdr; apebs; err0)⟩ (abs(pebs, apebs) ∧ err = err0)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 10:
pebs[m2].fill = EB_PAGE_SIZE, apebs[m2] = mkpeb(aehdr, empty, buf0, m1, false), avhdr = avidhdr(v, m, m0, m3, m4), buf = mkbuf(EB_PAGE_SIZE), aehdr.valid?, avhdr.valid?, m2 < # pebs, m2 < # apebs, abs(pebs, apebs), mtd-cons(pebs), ubi-io-inv(apebs) ⊦ ⟪encode_vidheader#(EB_PAGE_SIZE, vidhdr(v, m, m0, m3, m4); buf; err); if err = ESUCCESS then mtd_asm_write#(m2, EB_PAGE_SIZE, 0, EB_PAGE_SIZE, buf; pebs; err)⟫ ⟨aubi_io_write_vidhdr#(m2, avhdr; apebs; err0)⟩ (abs(pebs, apebs) ∧ err = err0), pebs[m2].bad

Rule argument

spec: avidheader name: elim seq: ⊦ avhdr.valid? → ( ( ((v = avhdr.vol ∧ m = avhdr.leb) ∧ m0 = avhdr.sqn) ∧ m1 = avhdr.size) ∧ m2 = avhdr.checksum ↔ avhdr = avidhdr(v, m, m0, m1, m2)) subst: [avhdr, v, m, m0, m1, m2] → [avhdr, v, m1, m2, m3, m4]

Additional information

Used simplifier rules: ⊦ avhdr.valid? → ( ( ((v = avhdr.vol ∧ m = avhdr.leb) ∧ m0 = avhdr.sqn) ∧ m1 = avhdr.size) ∧ m2 = avhdr.checksum ↔ avhdr = avidhdr(v, m, m0, m1, m2)); (elim) Used terms: avhdr, v, m1, m2, m3, m4