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Proof step 36 from proof refine-write (previous step)

# apebs0 = # wlar0, # apebs = # wlar, LEB_SIZE = (n2 + vtblpnum5) + n, LEB_SIZE = n1 + vtblpnum5, apebs0[n3] = mkpeb(aehdr, avhdr, mkempbuf(vtblpnum5) + subarray(buf, n4, n) + mkempbuf(n2), m, boolvar), vols[v][vtblpnum3] = unmapped, n1 = n0 + n, vtblpnum3 < # vols[v], vtblpnum3 < # avols[v], abs(avols, apebs, vols, q), abs(avols, apebs0, vols, q), bflipset-cons(bflipset, wlar0), bflipset-cons(bflipset, wlar), ebm-cons(avols), id(apebs0, apebs, mapped-pebs(vols)), is-aligned(n, EB_PAGE_SIZE), is-aligned(vtblpnum5, EB_PAGE_SIZE), ubi-io-inv(apebs0), ubi-io-inv(apebs), unique-sqns(apebs0), unique-sqns(apebs), valid-ebatbl(apebs0, wlar0, vols[v, vols[v][vtblpnum3, ⌜n3⌝ ]], vtblpnum4), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-eraseq(q0), valid-eraseq(wlar0, q0), valid-eraseq(apebs0, q0), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs0, sqnum0), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs0, vols, wlar0, vtblpnum4), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-wl(apebs0, wlar0), valid-wl(apebs, wlar), v ∈ vols, v ∈ avols, n + vtblpnum5 ≤ LEB_SIZE, vtblpnum5 ≤ LEB_SIZE, n ≤ LEB_SIZE, n + n4 ≤ # buf, n4 + n ≤ # buf, vtblpnum5 + n ≤ LEB_SIZE, q0.lebrefs ⊆ q.lebrefs ++ (v × vtblpnum3), n = 0 → q0.lebrefs ⊆ q.lebrefs, n ≠ 0 → m = vtblpnum5 + n, n = 0 → m = 0 ⊦ avols[v][vtblpnum3].mapped?, abs (avols[v, avols[v][vtblpnum3, mapped(mkempbuf(vtblpnum5) + subarray(buf, n4, n) + mkempbuf(n0), vtblpnum5 + n)]], apebs0, vols[v, vols[v][vtblpnum3, ⌜n3⌝ ]], q0), VTBL_VOLID ∈ vols

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 37:
# apebs0 = # wlar0, # apebs = # wlar, LEB_SIZE = (n0 + n) + vtblpnum5, apebs0[n3] = mkpeb(aehdr, avhdr, mkempbuf(vtblpnum5) + subarray(buf, n4, n) + mkempbuf(n0), m, boolvar), vols[v][vtblpnum3] = unmapped, vtblpnum3 < # vols[v], vtblpnum3 < # avols[v], abs(avols, apebs, vols, q), abs(avols, apebs0, vols, q), bflipset-cons(bflipset, wlar0), bflipset-cons(bflipset, wlar), ebm-cons(avols), id(apebs0, apebs, mapped-pebs(vols)), is-aligned(n, EB_PAGE_SIZE), is-aligned(vtblpnum5, EB_PAGE_SIZE), ubi-io-inv(apebs0), ubi-io-inv(apebs), unique-sqns(apebs0), unique-sqns(apebs), valid-ebatbl(apebs0, wlar0, vols[v, vols[v][vtblpnum3, ⌜n3⌝ ]], vtblpnum4), valid-ebatbl(apebs, wlar, vols, vtblpnum4), valid-eraseq(q0), valid-eraseq(wlar0, q0), valid-eraseq(apebs0, q0), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs0, sqnum0), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs0, vols, wlar0, vtblpnum4), valid-vtbl(apebs, vols, wlar, vtblpnum4), valid-wl(apebs0, wlar0), valid-wl(apebs, wlar), v ∈ vols, v ∈ avols, n + vtblpnum5 ≤ LEB_SIZE, vtblpnum5 ≤ LEB_SIZE, n ≤ LEB_SIZE, n + n4 ≤ # buf, n4 + n ≤ # buf, vtblpnum5 + n ≤ LEB_SIZE, q0.lebrefs ⊆ q.lebrefs ++ (v × vtblpnum3), n = 0 → q0.lebrefs ⊆ q.lebrefs, n ≠ 0 → m = vtblpnum5 + n, n = 0 → m = 0 ⊦ avols[v][vtblpnum3].mapped?, abs (avols[v, avols[v][vtblpnum3, mapped(mkempbuf(vtblpnum5) + subarray(buf, n4, n) + mkempbuf(n0), vtblpnum5 + n)]], apebs0, vols[v, vols[v][vtblpnum3, ⌜n3⌝ ]], q0), VTBL_VOLID ∈ vols

Rule argument

Additional information

Used simplifier rules: eqs: ⊦ m = n + n0 ∧ m = n + n1 → n0 = n1; (forward) from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic