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Proof step 46 from proof refine-write (previous step)

# apebs0 = # wlar0, # apebs = # wlar, LEB_SIZE = (n2 + vtblpnum5) + n, apebs0[n3] = mkpeb(aehdr, avhdr, buf0, 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, 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 ≤ LEB_SIZE, n + n4 ≤ # buf, n4 + n ≤ # buf, vtblpnum5 + n ≤ LEB_SIZE, q0.lebrefs ⊆ q.lebrefs ++ (v × vtblpnum3), ⌊err1⌋ ⊦ n = 0, avols[v][vtblpnum3].mapped?, abs(avols[v, avols[v][vtblpnum3, unmapped]], apebs0, vols, q0), VTBL_VOLID ∈ vols

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: ubi-abs name: abs-lebrefs-subset-noterased-some seq: ⊦ q1.lebrefs ⊆ q0.lebrefs ++ (v × m) ∧ abs(avols, apebs, vols, q0) ∧ v ∈ avols ∧ m < # avols[v] ∧ avols[v][m] ≠ erased → abs(avols, apebs, vols, q1) subst: [q0, v, m, q1, vols, apebs, avols] → [q, v, vtblpnum3, q0, vols, apebs0, avols[v, avols[v][vtblpnum3, unmapped]]] flags: <all paths>

Additional information

Used simplifier rules: ⊦ v ∈ vols ∧ m < # vols[v] ∧ vols[v][m] = unmapped ∧ abs(avols, apebs, vols, q) → abs(avols[v, avols[v][m, unmapped]], apebs, vols, q); (ss)% ⊦ v ∈ avols[v, evol]; (s)% ⊦ avols[v, evol][v] = evol; (s)% ⊦ # evol[n, leb] = # evol; (s)%⊦ v ∈ vols ∧ m < # vols[v] ∧ abs(avols, apebs, vols, q) → m < # avols[v]; (ss)% ⊦ m < # evol → evol[m, leb][m] = leb; (s)% ⊦ unmapped ≠ erased; (s) Used terms: q, v, vtblpnum3, q0, vols, apebs0, avols[v, avols[v][vtblpnum3, unmapped]]