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Proof step 26 from proof absexpt-idset (previous step)

# vols[v0] = # avols[v0], # apebs1 = # apebs0, apebs0[n] = mkpeb(aehdr0, avhdr0, buf0, m3, boolvar0), vols[v][m] = ⌜n⌝ , apebs1[n] = mkpeb(aehdr, avhdr, buf, m1, boolvar), avols[v0][m0] = mapped(buf0, m2), vols[v0][m0] = ⌜n⌝ , m < # vols[v], m0 < # avols[v0], v ∈ vols, v0 ∈ avols, v0 ∈ 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 ≠ v ∨ m0 ≠ m ⊦ buf0 = buf ∧ m1 ≤ m2

User applied rule all left

And obtained the following new goals

Proof step 27:
# apebs1 = # apebs0, # vols[v0] = # avols[v0], 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, vols[v0][m0] = ⌜n⌝ , avols[v0][m0] = mapped(buf0, m2), apebs1[n] = mkpeb(aehdr, avhdr, buf, m1, boolvar), vols[v][m] = ⌜n⌝ , apebs0[n] = mkpeb(aehdr0, avhdr0, buf0, m3, boolvar0), m0 < # avols[v0], m < # vols[v], v0 ∈ vols, v0 ∈ avols, v ∈ 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 ≠ v ∨ m0 ≠ m ⊦ buf0 = buf ∧ m1 ≤ m2

Rule argument

pos: left 14 terms: v, m, n abort: F discard: F computed: T

Additional information

Used terms: v, m, n