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Proof step 99 from proof delta-atomic-leb-change (previous step)

apebs0[n2] = mkpeb(aehdr, empty, buf1, 0, false), wlar[n2] = wl-entry(m0, stat), wlar[n1] = wl-entry(m1, stat0), align↑(datasize(buf, n0), EB_PAGE_SIZE) = align↑(datasize(buf, align↑(datasize(buf, n0), EB_PAGE_SIZE)), EB_PAGE_SIZE), wlar0 = wlar, datasize(buf, n0) ≠ 0, datasize(buf, align↑(datasize(buf, n0), EB_PAGE_SIZE)) ≠ 0, n2 ≠ n1, aehdr.valid?, n2 < # wlar, n1 < # wlar, n2 < # apebs0, is-aligned(# buf2, EB_PAGE_SIZE), align↑(datasize(buf, n0), EB_PAGE_SIZE) ≤ # buf, align↑(datasize(buf, n0), EB_PAGE_SIZE) ≤ LEB_SIZE, # buf2 ≤ align↑(datasize(buf, n0), EB_PAGE_SIZE), # buf2 ≤ # buf, # buf2 ≤ LEB_SIZE, ⌊err0⌋ , v ∈ vols ∧ m2 < # vols[v] ∧ vols[v][m2] = ⌜n1⌝ ∨ v = VTBL_VOLID ∧ m2 = VTBL_LNUM ∧ vtblpnum1 = n1, datasize(buf2, # buf2) < datasize(buf, align↑(datasize(buf, n0), EB_PAGE_SIZE)) ∨ checksum(buf2 + mkempbuf(align↑(datasize(buf, n0), EB_PAGE_SIZE) - # buf2), datasize(buf, align↑(datasize(buf, n0), EB_PAGE_SIZE))) ≠ checksum(buf, datasize(buf, align↑(datasize(buf, n0), EB_PAGE_SIZE))) ⊦ [ubi_wl_put_peb#(none, n2; wlar, q)] (sum-of-differences(ecs(wlar).max, ecs(wlar)) = sum-of-differences(ecs(wlar0).max, ecs(wlar0)) ∧ ecs(wlar) = ecs(wlar0))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 100:
wlar[n1] = wl-entry(m1, stat0), wlar[n2] = wl-entry(m0, stat), apebs0[n2] = mkpeb(aehdr, empty, buf1, 0, false), align↑(datasize(buf, n0), EB_PAGE_SIZE) = align↑(datasize(buf, align↑(datasize(buf, n0), EB_PAGE_SIZE)), EB_PAGE_SIZE), align↑(datasize(buf, n0), EB_PAGE_SIZE) = n3 + # buf2, wlar0 = wlar, aehdr.valid?, n2 < # apebs0, n1 < # wlar, n2 < # wlar, is-aligned(# buf2, EB_PAGE_SIZE), # buf2 ≤ LEB_SIZE, # buf2 ≤ # buf, # buf2 ≤ align↑(datasize(buf, n0), EB_PAGE_SIZE), align↑(datasize(buf, n0), EB_PAGE_SIZE) ≤ LEB_SIZE, align↑(datasize(buf, n0), EB_PAGE_SIZE) ≤ # buf, ⌊err0⌋ , datasize(buf2, # buf2) < datasize(buf, align↑(datasize(buf, n0), EB_PAGE_SIZE)) ∨ checksum(buf2 + mkempbuf(n3), datasize(buf, align↑(datasize(buf, n0), EB_PAGE_SIZE))) ≠ checksum(buf, datasize(buf, align↑(datasize(buf, n0), EB_PAGE_SIZE))), v ∈ vols ∧ m2 < # vols[v] ∧ vols[v][m2] = ⌜n1⌝ ∨ v = VTBL_VOLID ∧ m2 = VTBL_LNUM ∧ vtblpnum1 = n1 ⊦ [ubi_wl_put_peb#(none, n2; wlar, q)] (sum-of-differences(ecs(wlar).max, ecs(wlar)) = sum-of-differences(ecs(wlar0).max, ecs(wlar0)) ∧ ecs(wlar) = ecs(wlar0)), datasize(buf, n0) = 0, datasize(buf, align↑(datasize(buf, n0), EB_PAGE_SIZE)) = 0, n2 = n1

Rule argument

spec: nat name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [n, m, n0] → [# buf2, align↑(datasize(buf, n0), EB_PAGE_SIZE), n]

Additional information

Used simplifier rules: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: # buf2, align↑(datasize(buf, n0), EB_PAGE_SIZE), n