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Proof step 60 from proof delta-atomic-leb-change (previous step)

wlar[vtblpnum1] = wl-entry(m3, stat3), wlar[n1] = wl-entry(m1, stat0), wlar[n2] = wl-entry(m0, stat), apebs0[n2] = mkpeb(aehdr, empty, buf1, 0, false), wlar[vtblpnum1, wl-entry(m3, erasing)][n2] = wl-entry(m, stat1), wlar[vtblpnum1, wl-entry(m3, erasing)][n1] = wl-entry(m2, stat2), align↑(datasize(buf, n0), EB_PAGE_SIZE) = align↑(datasize(buf, align↑(datasize(buf, n0), EB_PAGE_SIZE)), EB_PAGE_SIZE), aehdr.valid?, n2 < # wlar, vtblpnum1 < # wlar, n1 < # wlar, n2 < # apebs0, align↑(datasize(buf, n0), EB_PAGE_SIZE) ≤ LEB_SIZE, align↑(datasize(buf, n0), EB_PAGE_SIZE) ≤ # buf, VTBL_VOLID ∈ vols ∧ VTBL_LNUM < # vols[VTBL_VOLID] ∧ vols[VTBL_VOLID][VTBL_LNUM] = ⌜n1⌝ ∨ vtblpnum1 = n1 ⊦ datasize(buf, n0) = 0, datasize(buf, align↑(datasize(buf, n0), EB_PAGE_SIZE)) = 0, n2 = n1, m = m0 ∧ m2 = m1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 61:
⊦ m ≠ n → wlar[n, wle][m] = wlar[m]
Proof step 62:
wlar[vtblpnum1, wl-entry(m3, erasing)][n1] = wl-entry(m2, stat2), wlar[n2] = wl-entry(m, stat1), apebs0[n2] = mkpeb(aehdr, empty, buf1, 0, false), wlar[n2] = wl-entry(m0, stat), wlar[n1] = wl-entry(m1, stat0), wlar[vtblpnum1] = wl-entry(m3, stat3), align↑(datasize(buf, n0), EB_PAGE_SIZE) = align↑(datasize(buf, align↑(datasize(buf, n0), EB_PAGE_SIZE)), EB_PAGE_SIZE), aehdr.valid?, n2 < # apebs0, n1 < # wlar, vtblpnum1 < # wlar, n2 < # wlar, align↑(datasize(buf, n0), EB_PAGE_SIZE) ≤ # buf, align↑(datasize(buf, n0), EB_PAGE_SIZE) ≤ LEB_SIZE, VTBL_VOLID ∈ vols ∧ VTBL_LNUM < # vols[VTBL_VOLID] ∧ vols[VTBL_VOLID][VTBL_LNUM] = ⌜n1⌝ ∨ vtblpnum1 = n1 ⊦ datasize(buf, align↑(datasize(buf, n0), EB_PAGE_SIZE)) = 0, datasize(buf, n0) = 0, n2 = n1, n2 = vtblpnum1, m = m0 ∧ m2 = m1

Rule argument

spec: array, inst: wlarray-base name: Put-other seq: ⊦ m ≠ n → wlar[n, wle][m] = wlar[m] subst: [m, wle, n, wlar] → [n2, wl-entry(m3, erasing), vtblpnum1, wlar] flags: <all paths>

Additional information

Used simplifier rules: ⊦ m < # wlar → wlar[m, wle][m] = wle; (s)% ⊦ wl-entry(m, stat) = wl-entry(m0, stat0) ↔ m = m0 ∧ stat = stat0; (ws)% ⊦ m ≠ n → wlar[n, wle][m] = wlar[m]; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m < n → n ≠ 0; (s) Used terms: n2, wl-entry(m3, erasing), vtblpnum1, wlar