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Proof step 12 from proof inv-unmap (previous step)

# apebs = # wlar, vols[v][vtblpnum0] = ⌜m⌝ , vtblpnum0 < # vols[v], bflipset-cons(bflipset, wlar), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum1), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum1), valid-wl(apebs, wlar), v ∈ vols ⊦ ⟪ubi_wl_put_peb#(v × vtblpnum0, m; wlar, q)⟫ ( # apebs = # wlar ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ bflipset-cons(bflipset -- m, wlar) ∧ valid-ebatbl(apebs, wlar, vols[v, vols[v][vtblpnum0, unmapped]], vtblpnum1) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum1)), vols[v][vtblpnum0] = unmapped, VTBL_VOLID ∈ vols, vtblpnum1 ∈ q

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
# apebs = # wlar, wlar[m].status = used, vols[v][vtblpnum0] = ⌜m⌝ , m ≠ vtblpnum1, vtblpnum0 < # vols[v], m < # wlar, bflipset-cons(bflipset, wlar), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum1), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-peb(v, vtblpnum0, apebs[m]), valid-vtbl(apebs, vols, wlar, vtblpnum1), valid-wl(apebs, wlar), v ∈ vols, ¬ vtblpnum1 ∈ q, ¬ VTBL_VOLID ∈ vols ⊦ ⟪ubi_wl_put_peb#(v × vtblpnum0, m; wlar, q)⟫ ( # apebs = # wlar ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ bflipset-cons(bflipset -- m, wlar) ∧ valid-ebatbl(apebs, wlar, vols[v, vols[v][vtblpnum0, unmapped]], vtblpnum1) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum1))

Rule argument

Additional information

Used simplifier rules: lf-mapped-valid-peb: ⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ ∧ valid-ebatbl(apebs, wlar, vols, n0) ∧ valid-wl(apebs, wlar) → valid-peb(v, m, apebs[n]);%lf-mapped-info: ⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ ∧ valid-ebatbl(apebs, wlar, vols, n0) → wlar[n].status = used ∧ n ≠ n0 ∧ n < # wlar;% ⊦ m < n → n ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ unmapped ≠ ⌜m⌝ ; (s)