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

pebs[m0] = mkpeb(buf0, EB_PAGE_SIZE, false), buf = mkbuf(EB_PAGE_SIZE), avhdr.valid?, m0 < # pebs, mtd-cons(pebs) ⊦ ⟪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#(m0, EB_PAGE_SIZE, 0, EB_PAGE_SIZE, buf; pebs; err)⟫ mtd-cons(pebs)

User applied rule insert program lemma

And obtained the following new goals

Proof step 10:
EB_PAGE_SIZE ≤ # buf, buf0 = buf ⊦ ⟪encode_vidheader#(EB_PAGE_SIZE, vhdr; buf; err)⟫ ((err = ESUCCESS ∨ ⌊err⌋ ) ∧ # buf = # buf0 ∧ (err = ESUCCESS → is-encoded(vhdr, subarray(buf, 0, EB_PAGE_SIZE))))
Proof step 11:
pebs[m0] = mkpeb(buf0, EB_PAGE_SIZE, false), buf = mkbuf(EB_PAGE_SIZE), buf = buf, buf1 = buf, vhdr0 = vidhdr(avhdr.vol, avhdr.leb, avhdr.sqn, avhdr.size, avhdr.checksum), avhdr.valid?, m0 < # pebs, mtd-cons(pebs), EB_PAGE_SIZE ≤ # buf ⊦ [encode_vidheader#(EB_PAGE_SIZE, vidhdr(avhdr.vol, avhdr.leb, avhdr.sqn, avhdr.size, avhdr.checksum); buf; err)] ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ # buf = # buf1 ∧ (err = ESUCCESS → is-encoded(vhdr0, subarray(buf, 0, EB_PAGE_SIZE))) → ⟪if err = ESUCCESS then mtd_asm_write#(m0, EB_PAGE_SIZE, 0, EB_PAGE_SIZE, buf; pebs; err)⟫ mtd-cons(pebs))

Rule argument

spec: encoding-page-size-nonempty, inst: encoding-vidheader name: encode-contract seq: EB_PAGE_SIZE ≤ # buf, buf0 = buf ⊦ ⟪encode_vidheader#(EB_PAGE_SIZE, vhdr; buf; err)⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ # buf = # buf0 ∧ ( err = ESUCCESS → is-encoded(vhdr, subarray(buf, 0, EB_PAGE_SIZE)))) subst: [vhdr, buf, err, buf0] → [vidhdr (avhdr.vol, avhdr.leb, avhdr.sqn, avhdr.size, avhdr.checksum), buf, err, buf] flags: <all paths>

Additional information

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