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Proof step 48 from proof recovery (previous step)

# vols[v] = # vols0[v], # wlar = # wlar0, # apebs0 = # wlar0, # avols0[v] = # vols0[v], vols[v][m] = unmapped, apebs0[unmapped.pnum] = mkpeb(aehdr, avhdr, buf, m0, boolvar), avols0[v][m] = erased, m < # vols0[v], bflipset-cons(bflipset0, wlar0), bflipset-cons(bflipset, wlar), ebm-cons(avols0), is-max(apebs0, vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum), ubi-io-inv(apebs0), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar0, vols0, vtblpnum3), valid-ebatbl(apebs0, wlar, vols, vtblpnum), valid-eraseq(apebs0, q0), valid-eraseq(wlar0, q0), valid-eraseq(q0), valid-eraseq(apebs0, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs0, sqnum), valid-global-sqn(apebs0, vtblpnum0), valid-vtbl(apebs0, vols0, wlar0, vtblpnum3), valid-vtbl(apebs0, vols, wlar, vtblpnum), valid-wl(apebs0, wlar0), valid-wl(apebs0, wlar), v ∈ avols0, v ∈ vols, v ∈ vols0, q0.lebrefs ⊆ q.lebrefs, vols0⌈vols, q⌉ ⊦ vols0[v][m] = unmapped, mapped(apebs0[vols0[v][m].pnum].data, apebs0[vols0[v][m].pnum].fill) = erased, VTBL_VOLID ∈ vols, VTBL_VOLID ∈ vols0, v × m ∈ q

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 49:
# vols[v] = # vols0[v], # wlar = # wlar0, # apebs0 = # wlar0, # avols0[v] = # vols0[v], vols[v][m] = unmapped, apebs0[unmapped.pnum] = mkpeb(aehdr, avhdr, buf, m0, boolvar), avols0[v][m] = erased, vols0[v][m] = ⌜n⌝ , m < # vols0[v], n < # wlar0, bflipset-cons(bflipset0, wlar0), bflipset-cons(bflipset, wlar), ebm-cons(avols0), is-max(apebs0, vols0, wlar0, q0, bflipset0, vtblpnum3, sqnum), ubi-io-inv(apebs0), unique-sqns(apebs0), valid-ebatbl(apebs0, wlar0, vols0, vtblpnum3), valid-ebatbl(apebs0, wlar, vols, vtblpnum), valid-eraseq(apebs0, q0), valid-eraseq(wlar0, q0), valid-eraseq(q0), valid-eraseq(apebs0, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs0, sqnum), valid-global-sqn(apebs0, vtblpnum0), valid-vtbl(apebs0, vols0, wlar0, vtblpnum3), valid-vtbl(apebs0, vols, wlar, vtblpnum), valid-wl(apebs0, wlar0), valid-wl(apebs0, wlar), v ∈ avols0, v ∈ vols, v ∈ vols0, q0.lebrefs ⊆ q.lebrefs, vols0⌈vols, q⌉ ⊦ VTBL_VOLID ∈ vols, VTBL_VOLID ∈ vols0, v × m ∈ q

Rule argument

Additional information

Used simplifier rules: lf-elim-unmapped: ⊦ vols[v][m] ≠ unmapped → (∃ n. vols[v][m] = ⌜n⌝ );%lf-mapped-in-apebs: ⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = ⌜n⌝ ∧ valid-ebatbl(apebs, wlar, vols, n0) → n < # apebs;% ⊦ 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)% ⊦ erased ≠ mapped(buf, m); (s)