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Proof step 253 from proof inv-format (previous step)

# wlar = # apebs1, apebs1[vtblpnum2] = mkpeb(aehdr0, empty, buf0, 0, false), wlar[vtblpnum2] = wl-entry(m3, stat), aehdr0.valid?, vtblpnum2 < # apebs1, is-aligned(LEB_SIZE, EB_PAGE_SIZE), is-encoded(∅, buf), ubi-io-initial(apebs1), ubi-io-inv(apebs1[vtblpnum2, mkpeb(aehdr0, avidhdr(VTBL_VOLID, VTBL_LNUM, 0, 0, 0), buf0, 0, false)]), ubi-io-inv(apebs1[vtblpnum2, mkpeb(aehdr0, avidhdr(VTBL_VOLID, VTBL_LNUM, 0, 0, 0), buf, LEB_SIZE, false)]), ubi-io-peb-inv(mkpeb(aehdr0, avidhdr(VTBL_VOLID, VTBL_LNUM, 0, 0, 0), buf, LEB_SIZE, false)), ENCODED_NAT_SIZE ≤ LEB_SIZE, ∀ n3. n3 < # apebs1 → (apebs1[n3].bad → wlar[n3] = wl-entry(0, erroneous)) ∧ (¬ apebs1[n3].bad → apebs1[n3].echdr.valid? ∧ wlar[n3] = wl-entry(apebs1[n3].echdr.ec, free) ∧ apebs1[n3].vidhdr = empty) ⊦ vtblpnum2 = # apebs1, aehdr0 = aechdr(m3) ∧ (∃ v, m. valid-peb(v, m, mkpeb(aechdr(m3), avidhdr(VTBL_VOLID, VTBL_LNUM, 0, 0, 0), buf, LEB_SIZE, false)) ∧ 0 = valid-sqns(v, m, apebs1[vtblpnum2, mkpeb(aechdr(m3), avidhdr(VTBL_VOLID, VTBL_LNUM, 0, 0, 0), buf, LEB_SIZE, false)]).max)

User applied rule all left

And obtained the following new goals

Proof step 254:
# wlar = # apebs1, wlar[vtblpnum2] = wl-entry(m3, stat), apebs1[vtblpnum2] = mkpeb(aehdr0, empty, buf0, 0, false), aehdr0.valid?, vtblpnum2 < # apebs1, is-aligned(LEB_SIZE, EB_PAGE_SIZE), is-encoded(∅, buf), ubi-io-initial(apebs1), ubi-io-inv(apebs1[vtblpnum2, mkpeb(aehdr0, avidhdr(VTBL_VOLID, VTBL_LNUM, 0, 0, 0), buf, LEB_SIZE, false)]), ubi-io-inv(apebs1[vtblpnum2, mkpeb(aehdr0, avidhdr(VTBL_VOLID, VTBL_LNUM, 0, 0, 0), buf0, 0, false)]), ubi-io-peb-inv(mkpeb(aehdr0, avidhdr(VTBL_VOLID, VTBL_LNUM, 0, 0, 0), buf, LEB_SIZE, false)), ENCODED_NAT_SIZE ≤ LEB_SIZE, vtblpnum2 < # apebs1 → (apebs1[vtblpnum2].bad → wlar[vtblpnum2] = wl-entry(0, erroneous)) ∧ ( ¬ apebs1[vtblpnum2].bad → apebs1[vtblpnum2].echdr.valid? ∧ wlar[vtblpnum2] = wl-entry(apebs1[vtblpnum2].echdr.ec, free) ∧ apebs1[vtblpnum2].vidhdr = empty) ⊦ vtblpnum2 = # apebs1, aehdr0 = aechdr(m3) ∧ (∃ v, m. valid-peb(v, m, mkpeb(aechdr(m3), avidhdr(VTBL_VOLID, VTBL_LNUM, 0, 0, 0), buf, LEB_SIZE, false)) ∧ 0 = valid-sqns(v, m, apebs1[vtblpnum2, mkpeb(aechdr(m3), avidhdr(VTBL_VOLID, VTBL_LNUM, 0, 0, 0), buf, LEB_SIZE, false)]).max)

Rule argument

pos: left 13 terms: vtblpnum2 abort: F discard: T computed: T

Additional information

Used terms: vtblpnum2