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Proof step 64 from proof recovery (previous step)

# wlar = # wlar0, # apebs0 = # wlar0, abs(avols0, apebs0, vols, q), 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 ∈ absf(avols0, apebs0, vols0, q0), vols ⊆ vols0, q0.lebrefs ⊆ q.lebrefs, vols0⌈vols, q⌉ ⊦ VTBL_VOLID ∈ vols, VTBL_VOLID ∈ vols0, ∀ m. m < # absf(avols0, apebs0, vols0, q0)[v] → valid-leb(absf(avols0, apebs0, vols0, q0)[v][m])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 65:
# wlar = # wlar0, # apebs0 = # wlar0, absf(avols0, apebs0, vols0, q0)[v][m].mapped?, m < # absf(avols0, apebs0, vols0, q0)[v], abs(avols0, apebs0, vols, q), 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 ∈ absf(avols0, apebs0, vols0, q0), vols ⊆ vols0, q0.lebrefs ⊆ q.lebrefs, vols0⌈vols, q⌉ ⊦ VTBL_VOLID ∈ vols, VTBL_VOLID ∈ vols0, # absf(avols0, apebs0, vols0, q0)[v][m].data = LEB_SIZE ∧ absf(avols0, apebs0, vols0, q0)[v][m].fill ≤ LEB_SIZE ∧ is-aligned(absf(avols0, apebs0, vols0, q0)[v][m].fill, EB_PAGE_SIZE) ∧ range= (absf(avols0, apebs0, vols0, q0)[v][m].data, absf(avols0, apebs0, vols0, q0)[v][m].fill, emptyleb, 0, LEB_SIZE - absf(avols0, apebs0, vols0, q0)[v][m].fill)

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%⊦ valid-leb(leb) ↔ leb.mapped? → # leb.data = LEB_SIZE ∧ leb.fill ≤ LEB_SIZE ∧ is-aligned(leb.fill, EB_PAGE_SIZE) ∧ range=(leb.data, leb.fill, emptyleb, 0, LEB_SIZE - leb.fill); (s)