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Proof step 11 from proof refine-unmap (previous step)

# apebs = # wlar, vols[v][vtblpnum2] = ⌜n⌝ , avols[v][vtblpnum2].mapped?, vtblpnum2 < # vols[v], vtblpnum2 < # avols[v], n < # wlar, abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), ubi-io-inv(apebs), 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, v ∈ avols, ¬ VTBL_VOLID ∈ vols ⊦ ⟪ubi_wl_put_peb#(v × vtblpnum2, vols[v][vtblpnum2].pnum; wlar, q)⟫ ⟨ebm_unmap#(v, vtblpnum2; avols)⟩ abs(avols, apebs, vols[v, vols[v][vtblpnum2, unmapped]], q)

Heuristic weak unfold applied rule call right

And obtained the following new goals

Proof step 12:
# apebs = # wlar, vols[v][vtblpnum2] = ⌜n⌝ , lref = v × vtblpnum2, vtblpnum = vols[v][vtblpnum2].pnum, avols[v][vtblpnum2].mapped?, n < # wlar, vtblpnum2 < # avols[v], vtblpnum2 < # vols[v], abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), ubi-io-inv(apebs), 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-vtbl(apebs, vols, wlar, vtblpnum1), valid-wl(apebs, wlar), v ∈ avols, v ∈ vols ⊦ ⟪wlar[vtblpnum].status := erasing; q := q + eq-entry(vtblpnum, lref)⟫ ⟨ebm_unmap#(v, vtblpnum2; avols)⟩ abs(avols, apebs, vols[v, vols[v][vtblpnum2, unmapped]], q), vols[v][vtblpnum2] = unmapped, VTBL_VOLID ∈ vols

Rule argument

pos: right 1

Additional information

Used simplifier rules: ubi_wl_put_peb#(LREF, PNUM; WLARRAY, ERASEQ) {WLARRAY[PNUM].status := erasing; ERASEQ := ERASEQ + eq-entry(PNUM, LREF) };%⊦ v ∈ avols ∧ m < # avols[v] ∧ abs(avols, apebs, vols, q) → m < # vols[v]; (ss)% ⊦ v ∈ avols ∧ abs(avols, apebs, vols, q) → v ∈ vols; (ss)%abs-vols-unmapped: ⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = unmapped ∧ abs(avols, apebs, vols, q) → ¬ avols[v][m].mapped?; (forward) from specification ubi-abs