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Proof step 255 from proof inv-format (previous step)

# wlar = # apebs1, apebs1[vtblpnum2] = mkpeb(aehdr0, empty, buf0, 0, false), wlar[vtblpnum2] = wl-entry(aehdr0.ec, free), 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 ⊦ vtblpnum2 = # apebs1, aehdr0 = aechdr(aehdr0.ec) ∧ (∃ v, m. valid-peb(v, m, mkpeb(aechdr(aehdr0.ec), avidhdr(VTBL_VOLID, VTBL_LNUM, 0, 0, 0), buf, LEB_SIZE, false)) ∧ 0 = valid-sqns(v, m, apebs1[vtblpnum2, mkpeb(aechdr(aehdr0.ec), avidhdr(VTBL_VOLID, VTBL_LNUM, 0, 0, 0), buf, LEB_SIZE, false)]).max)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 256:
# wlar = # apebs1, wlar[vtblpnum2] = wl-entry(m0, free), apebs1[vtblpnum2] = mkpeb(aehdr0, empty, buf0, 0, false), aehdr0 = aechdr(m0), 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, aehdr0 = aechdr(m0) ∧ (∃ v, m. valid-peb(v, m, mkpeb(aechdr(m0), avidhdr(VTBL_VOLID, VTBL_LNUM, 0, 0, 0), buf, LEB_SIZE, false)) ∧ 0 = valid-sqns(v, m, apebs1[vtblpnum2, mkpeb(aechdr(m0), avidhdr(VTBL_VOLID, VTBL_LNUM, 0, 0, 0), buf, LEB_SIZE, false)]).max)

Rule argument

spec: aecheader name: elim seq: ⊦ aehdr.valid? → (m = aehdr.ec ↔ aehdr = aechdr(m)) subst: [aehdr, m] → [aehdr0, m0]

Additional information

Used simplifier rules: ⊦ aehdr.valid? → (m = aehdr.ec ↔ aehdr = aechdr(m)); (elim) Used terms: aehdr0, m0