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Proof step 47 from proof absexpt-pebs-write (previous step)

# vols[v0] = # avols[v0], wlar[n] = wl-entry(m8, used), avols[v0][m0] = mapped(buf0, m1), vols[v0][m0] = ⌜n⌝ , apebs[n] = mkpeb(aehdr0, avidhdr(v1, m4, m5, m6, m7), buf0, m3, boolvar0), vols[v1][m4] = ⌜n⌝ , m4 < # vols[v1], n < # wlar, n < # apebs, m0 < # avols[v0], v0 ∈ vols, v0 ∈ avols, v1 ∈ vols, m3 ≤ m1, ∀ v, m, n. vols[v][m] = ⌜n⌝ ∧ v ∈ vols ∧ m < # vols[v] ↔ wlar[n].status = used ∧ n < # apebs ∧ n < # wlar ∧ apebs[n].vidhdr.valid? ∧ apebs[n].vidhdr.vol = v ∧ apebs[n].vidhdr.leb = m ∧ n ≠ n0, v0 ≠ v1 ∨ m0 ≠ m4 ⊦ n = n0, buf0 = buf ∧ m2 ≤ m1

User applied rule all left

And closed the goal!

Rule argument

pos: left 15 terms: v0, m0, n abort: F discard: T computed: T

Additional information

Used simplifier rules: ⊦ wl-entry(m, stat).status = stat; (s)% ⊦ mkpeb(aehdr, avhdr, buf, m, boolvar).vidhdr = avhdr; (s)% ⊦ avidhdr(v, m, m0, m1, m2).valid?; (s)% ⊦ avidhdr(v, m, m0, m1, m2).vol = v; (s)% ⊦ avidhdr(v, m, m0, m1, m2).leb = m; (s) Used terms: v0, m0, n