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Proof step 8 from proof idset-mapped-pebs-write-unused (previous step)

# apebs = # apebs0, vols[v][m0] = ⌜n⌝ , wlar[n] = wl-entry(m, stat), m0 < # vols[v], n < # apebs0, n < # wlar, v ∈ vols, ∀ v, m, n1. vols[v][m] = ⌜n1⌝ ∧ v ∈ vols ∧ m < # vols[v] ↔ wlar[n1].status = used ∧ n1 < # apebs0 ∧ n1 < # wlar ∧ apebs[n1].vidhdr.valid? ∧ apebs[n1].vidhdr.vol = v ∧ apebs[n1].vidhdr.leb = m ∧ n1 ≠ n0 ⊦ apebs[n] = apebs0[n], stat = used

User applied rule all left

And closed the goal!

Rule argument

pos: left 8 terms: v, m0, n abort: F discard: T computed: T

Additional information

Used simplifier rules: lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic% ⊦ wl-entry(m, stat).status = stat; (s) Used terms: v, m0, n