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Proof step 45 from proof mapped-pebs-unmap (previous step)

vols[v][m1] = ⌜n⌝ , vols[v][m] = ⌜n0⌝ , m1 < # vols[v], m < # vols[v], v ∈ vols, ∀ v, m, n1. vols[v][m] = ⌜n1⌝ ∧ v ∈ vols ∧ m < # vols[v] ↔ wlar[n1].status = used ∧ n1 < # apebs ∧ n1 < # wlar ∧ apebs[n1].vidhdr.valid? ∧ apebs[n1].vidhdr.vol = v ∧ apebs[n1].vidhdr.leb = m ∧ n1 ≠ m0 ⊦ vols[v][m, unmapped][m1] = ⌜n⌝ , n = n0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 46:
⊦ m ≠ n → ebatbl[n, ebae][m] = ebatbl[m]

Rule argument

spec: array, inst: ebatbl name: Put-other seq: ⊦ m ≠ n → ebatbl[n, ebae][m] = ebatbl[m] subst: [m, ebae, n, ebatbl] → [m1, unmapped, m, vols[v]] flags: <all paths>

Additional information

Used simplifier rules: ⊦ m < # ebatbl → ebatbl[m, ebae][m] = ebae; (s)% ⊦ unmapped ≠ ⌜m⌝ ; (s)% ⊦ ⌜m⌝ = ⌜m0⌝ ↔ m = m0; (s) Used terms: m1, unmapped, m, vols[v]