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Proof step 32 from proof absexpt-idset (previous step)

# apebs1 = # apebs0, # vols[v0] = # avols[v0], wlar[n] = wl-entry(m8, used), apebs0[n] = mkpeb(aehdr0, avidhdr(v1, m4, m5, m6, m7), buf0, m3, boolvar0), vols[v0][m0] = ⌜n⌝ , avols[v0][m0] = mapped(buf0, m2), apebs1[n] = mkpeb(aehdr, avhdr, buf, m1, boolvar), vols[v1][m4] = ⌜n⌝ , n < # apebs0, m4 < # vols[v1], n < # wlar, m0 < # avols[v0], v0 ∈ vols, v0 ∈ avols, v1 ∈ vols, m3 ≤ m2, ∀ v, m, n. vols[v][m] = ⌜n⌝ ∧ v ∈ vols ∧ m < # vols[v] ↔ wlar[n].status = used ∧ n < # apebs0 ∧ n < # wlar ∧ apebs0[n].vidhdr.valid? ∧ apebs0[n].vidhdr.vol = v ∧ apebs0[n].vidhdr.leb = m ∧ n ≠ n0, v0 ≠ v1 ∨ m0 ≠ m4 ⊦ n = n0, buf0 = buf ∧ m1 ≤ m2

User applied rule all left

And closed the goal!

Rule argument

pos: left 17 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