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Proof step 20 from proof refine-unmap (previous step)

# apebs = # wlar, ebae = vols[v][vtblpnum0], ebae = unmapped, vtblpnum0 = vtblpnum, vtblpnum0 < # vols[v], vtblpnum < # avols[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(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 ⊦ ⟨ebm_unmap#(v, vtblpnum; avols)⟩ abs(avols, apebs, vols, q), VTBL_VOLID ∈ vols

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 21:
# apebs = # wlar, unmapped = vols[v][vtblpnum], vtblpnum < # vols[v], vtblpnum < # avols[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(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, ¬ avols[v][vtblpnum].mapped?, ¬ VTBL_VOLID ∈ vols ⊦ ⟨ebm_unmap#(v, vtblpnum; avols)⟩ abs(avols, apebs, vols, q)

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%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%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic