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Proof step 175 from proof delta-atomic-leb-change (previous step)

0 = datasize(buf, n), apebs[n2] = mkpeb(aehdr, empty, buf0, m, false), vols[v][m2] = ⌜m3⌝ , wlar[n2] = wl-entry(m0, stat), wlar[m3, wl-entry(m6, erasing)][n1] = wl-entry(m5, stat2), wlar[m3] = wl-entry(m6, stat3), wlar[n1] = wl-entry(m1, stat0), aehdr.valid?, n2 < # wlar, m3 < # wlar, m2 < # vols[v], n1 < # wlar, n2 < # apebs, v ∈ vols, m3 = n1 ∨ v = VTBL_VOLID ∧ m2 = VTBL_LNUM ∧ vtblpnum1 = n1 ⊦ m5 = m1, n2 = m3, n2 = n1, v = VTBL_VOLID ∧ m2 = VTBL_LNUM

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: array, inst: wlarray-base name: Put-other seq: ⊦ m ≠ n → wlar[n, wle][m] = wlar[m] subst: [m, wle, n, wlar] → [n1, wl-entry(m6, erasing), m3, 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) Used terms: n1, wl-entry(m6, erasing), m3, wlar