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Proof step 48 from proof valid-ebatbl-unmap (previous step)

vols[v0][m0] = ⌜n⌝ ∧ v0 ∈ vols ∧ m0 < # vols[v0] ↔ wlar[n].status = used ∧ n < # apebs ∧ n < # wlar ∧ apebs[n].vidhdr.valid? ∧ apebs[n].vidhdr.vol = v0 ∧ apebs[n].vidhdr.leb = m0 ∧ n ≠ n0, wlar[n1] = wl-entry(m2, used), apebs[n1] = mkpeb(aehdr, avidhdr(v0, m0, m1, m4, m5), buf, m3, boolvar), vols[v0][m0] = ⌜n⌝ , apebs[n] = mkpeb(aehdr0, avidhdr(v0, m0, m6, m7, m8), buf0, m9, boolvar0), wlar[n] = wl-entry(m10, used), n1 < # wlar, n1 < # apebs, n < # apebs, n < # wlar, m0 < # 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 ≠ n0 ⊦ n = n0, n1 = n0, n1 = n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 49:
wlar[n1] = wl-entry(m2, used), apebs[n1] = mkpeb(aehdr, avidhdr(v0, m0, m1, m4, m5), buf, m3, boolvar), vols[v0][m0] = ⌜n⌝ , apebs[n] = mkpeb(aehdr0, avidhdr(v0, m0, m6, m7, m8), buf0, m9, boolvar0), wlar[n] = wl-entry(m10, used), n1 < # wlar, n1 < # apebs, n < # apebs, n < # wlar, m0 < # 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 ≠ n0 ⊦ n = n0, n1 = n0, n1 = n

Rule argument

Additional information

Used simplifier rules: ⊦ avidhdr(v, m, m0, m1, m2).valid?; (s)% ⊦ wl-entry(m, stat).status = stat; (s)% ⊦ avidhdr(v, m, m0, m1, m2).vol = v; (s)% ⊦ avidhdr(v, m, m0, m1, m2).leb = m; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic