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Proof step 13 from proof refine-write-echdr (previous step)

apebs[m2] = mkpeb(empty, avhdr, buf0, m1, false), pebs[m2] = mkpeb(buf1, 0, false), buf = mkbuf(EB_PAGE_SIZE), m2 < # pebs, m2 < # apebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, 0, false), mkpeb(empty, avhdr, buf0, m1, false)), 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, aechdr(m); apebs; err0)⟩ (abs(pebs, apebs) ∧ err = err0)

User applied rule insert program lemma

And obtained the following new goals

Proof step 14:
EB_PAGE_SIZE ≤ # buf, buf0 = buf ⊦ ⟪encode_echeader#(EB_PAGE_SIZE, ehdr; buf; err)⟫ ((err = ESUCCESS ∨ ⌊err⌋ ) ∧ # buf = # buf0 ∧ (err = ESUCCESS → is-encoded(ehdr, subarray(buf, 0, EB_PAGE_SIZE))))
Proof step 15:
pebs[m2] = mkpeb(buf1, 0, false), apebs[m2] = mkpeb(empty, avhdr, buf0, m1, false), buf = mkbuf(EB_PAGE_SIZE), buf = buf, buf2 = buf, ehdr0 = echdr(m), m2 < # apebs, m2 < # pebs, abs(pebs, apebs), abs-peb(mkpeb(buf1, 0, false), mkpeb(empty, avhdr, buf0, m1, false)), mtd-cons(pebs), ubi-io-inv(apebs), EB_PAGE_SIZE ≤ # buf ⊦ [encode_echeader#(EB_PAGE_SIZE, echdr(m); buf; err)] ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ # buf = # buf2 ∧ (err = ESUCCESS → is-encoded(ehdr0, subarray(buf, 0, EB_PAGE_SIZE))) → ⟪if err = ESUCCESS then mtd_asm_write#(m2, 0, 0, EB_PAGE_SIZE, buf; pebs; err)⟫ ⟨aubi_io_write_echdr#(m2, aechdr(m); apebs; err0)⟩ (abs(pebs, apebs) ∧ err = err0))

Rule argument

spec: encoding-page-size-nonempty, inst: encoding-echeader name: encode-contract seq: EB_PAGE_SIZE ≤ # buf, buf0 = buf ⊦ ⟪encode_echeader#(EB_PAGE_SIZE, ehdr; buf; err)⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ # buf = # buf0 ∧ ( err = ESUCCESS → is-encoded(ehdr, subarray(buf, 0, EB_PAGE_SIZE)))) subst: [ehdr, buf, err, buf0] → [echdr(m), buf, err, buf] flags: <all paths>

Additional information

Used simplifier rules: ⊦ # mkbuf(n) = n; (s)% ⊦ m ≤ m; (s)