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Proof step 16 from proof abs-idset-fwd (previous step)

# apebs1 = # apebs0, # vols[v] = # avols[v], vols[v][m] = ⌜m3⌝ , avols[v][m] = mapped(buf0, m1), apebs1[m3] = mkpeb(aehdr, avhdr, buf, m0, boolvar), apebs0[m3] = mkpeb(aehdr0, avhdr0, buf0, m2, boolvar0), m < # avols[v], valid-ebatbl(apebs0, wlar, vols, n0), v ∈ avols, v ∈ vols, m2 ≤ m1, ∀ n. n ∈ mapped-pebs(vols) ∧ n < # apebs0 → apebs1[n] = apebs0[n] ⊦ buf0 = buf ∧ m0 ≤ m1

User applied rule all left

And obtained the following new goals

Proof step 17:
# vols[v] = # avols[v], # apebs1 = # apebs0, apebs0[m3] = mkpeb(aehdr0, avhdr0, buf0, m2, boolvar0), apebs1[m3] = mkpeb(aehdr, avhdr, buf, m0, boolvar), avols[v][m] = mapped(buf0, m1), vols[v][m] = ⌜m3⌝ , m < # avols[v], valid-ebatbl(apebs0, wlar, vols, n0), v ∈ vols, v ∈ avols, m2 ≤ m1, m3 ∈ mapped-pebs(vols) ∧ m3 < # apebs0 → apebs1[m3] = apebs0[m3] ⊦ buf0 = buf ∧ m0 ≤ m1

Rule argument

pos: left 12 terms: m3 abort: F discard: T computed: F

Additional information

Used terms: m3