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Proof step 20 from proof mapped-pebs-remap (previous step)

wlar[n0].status = used, apebs[n0] = mkpeb(aehdr, avidhdr(v0, m1, m2, m3, m4), buf, m5, boolvar), vols[v0][m1] = ⌜n0⌝ , vols[v0][m] = ⌜n0⌝ , m1 < # vols[v0], n0 < # wlar, n0 < # apebs, m < # vols[v0], v0 ∈ vols, ∀ v, m, n1. vols[v][m] = ⌜n1⌝ ∧ v ∈ vols ∧ m < # vols[v] ↔ wlar[n1].status = used ∧ n1 < # apebs ∧ n1 < # wlar ∧ apebs[n1].vidhdr.valid? ∧ apebs[n1].vidhdr.vol = v ∧ apebs[n1].vidhdr.leb = m ∧ n1 ≠ m0 ⊦ m1 = m, n0 = m0, n0 = n1

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 21:
vols[v0][m] = ⌜n0⌝ , vols[v0][m1] = ⌜n0⌝ , apebs[n0] = mkpeb(aehdr, avidhdr(v0, m1, m2, m3, m4), buf, m5, boolvar), wlar[n0] = wl-entry(m6, stat), stat = used, m < # vols[v0], n0 < # apebs, n0 < # wlar, m1 < # vols[v0], v0 ∈ vols, ∀ v, m, n1. vols[v][m] = ⌜n1⌝ ∧ v ∈ vols ∧ m < # vols[v] ↔ wlar[n1].status = used ∧ n1 < # apebs ∧ n1 < # wlar ∧ apebs[n1].vidhdr.valid? ∧ apebs[n1].vidhdr.vol = v ∧ apebs[n1].vidhdr.leb = m ∧ n1 ≠ m0 ⊦ m1 = m, n0 = n1, n0 = m0

Rule argument

spec: wlentry name: elim-02 seq: ⊦ m = wle.ec ∧ stat = wle.status ↔ wle = wl-entry(m, stat) subst: [wle, m, stat] → [wlar[n0], m6, stat]

Additional information

Used simplifier rules: ⊦ m = wle.ec ∧ stat = wle.status ↔ wle = wl-entry(m, stat); (elim) Used terms: wlar[n0], m6, stat