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

pebs[m2].fill = 0, apebs[m2] = mkpeb(empty, avhdr, buf0, m1, false), buf = mkbuf(EB_PAGE_SIZE), aehdr.valid?, m2 < # apebs, m2 < # pebs, abs(pebs, apebs), mtd-cons(pebs), ubi-io-inv(apebs), ¬ pebs[m2].bad ⊦ ⟪encode_echeader#(EB_PAGE_SIZE, echdr(aehdr.ec); buf; err); if err = ESUCCESS then mtd_asm_write#(m2, 0, 0, EB_PAGE_SIZE, buf; pebs; err)⟫ ⟨aubi_io_write_echdr#(m2, aehdr; 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 = 0, apebs[m2] = mkpeb(empty, avhdr, buf0, m1, false), aehdr = aechdr(m), buf = mkbuf(EB_PAGE_SIZE), aehdr.valid?, m2 < # pebs, m2 < # apebs, abs(pebs, apebs), mtd-cons(pebs), ubi-io-inv(apebs) ⊦ ⟪encode_echeader#(EB_PAGE_SIZE, echdr(m); buf; err); if err = ESUCCESS then mtd_asm_write#(m2, 0, 0, EB_PAGE_SIZE, buf; pebs; err)⟫ ⟨aubi_io_write_echdr#(m2, aehdr; apebs; err0)⟩ (abs(pebs, apebs) ∧ err = err0), pebs[m2].bad

Rule argument

spec: aecheader name: elim seq: ⊦ aehdr.valid? → (m = aehdr.ec ↔ aehdr = aechdr(m)) subst: [aehdr, m] → [aehdr, m1]

Additional information

Used simplifier rules: ⊦ aehdr.valid? → (m = aehdr.ec ↔ aehdr = aechdr(m)); (elim) Used terms: aehdr, m1