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Proof step 17 from proof refine-create-volume (previous step)

# apebs = # wlar, # apebs0 = # wlar0, err = err1, err = ESUCCESS, abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), bflipset-cons(bflipset0, wlar0), ebm-cons(avols), id(apebs0, apebs, mapped-pebs(vols0)), ubi-io-inv(apebs), ubi-io-inv(apebs0), unique-sqns(apebs), unique-sqns(apebs0), valid-ebatbl(apebs, wlar, vols, vtblpnum), valid-ebatbl(apebs0, wlar0, vols0, vtblpnum0), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-eraseq(apebs0, q0), valid-eraseq(wlar0, q0), valid-eraseq(q0), valid-global-sqn(apebs, sqnum), valid-global-sqn(apebs0, sqnum0), valid-vtbl(apebs, vols, wlar, vtblpnum), valid-vtbl(apebs0, vols0, wlar0, vtblpnum0), valid-wl(apebs, wlar), valid-wl(apebs0, wlar0), err1 ≠ ESUCCESS → q0.lebrefs ⊆ q.lebrefs ∧ vols0 = vols, err1 = ESUCCESS → ¬ v ∈ vols ∧ vols0 = vols[v, fill(mkebatbl(n), unmapped)] ∧ q0.lebrefs ⊆ ∅ ++ (VTBL_VOLID × VTBL_LNUM), err1 = ESUCCESS ∨ ⌊err1⌋ ⊦ v ∈ avols, VTBL_VOLID ∈ vols, VTBL_VOLID ∈ vols0, abs(avols[v, fill(mkabstractvolume(n), erased)], apebs0, vols0, q0) ∧ err1 = err

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
# apebs = # wlar, # apebs0 = # wlar0, abs(avols, apebs, vols, q), abs(avols, apebs0, vols, q), bflipset-cons(bflipset, wlar), bflipset-cons(bflipset0, wlar0), ebm-cons(avols), id(apebs0, apebs, mapped-pebs(vols)), ubi-io-inv(apebs), ubi-io-inv(apebs0), unique-sqns(apebs), unique-sqns(apebs0), valid-ebatbl(apebs, wlar, vols, vtblpnum), valid-ebatbl(apebs0, wlar0, vols[v, fill(mkebatbl(n), unmapped)], vtblpnum0), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-eraseq(apebs0, q0), valid-eraseq(wlar0, q0), valid-eraseq(q0), valid-global-sqn(apebs, sqnum), valid-global-sqn(apebs0, sqnum0), valid-vtbl(apebs, vols, wlar, vtblpnum), valid-vtbl(apebs0, vols[v, fill(mkebatbl(n), unmapped)], wlar0, vtblpnum0), valid-wl(apebs, wlar), valid-wl(apebs0, wlar0), q0.lebrefs ⊆ ∅ ++ (VTBL_VOLID × VTBL_LNUM) ⊦ VTBL_VOLID = v, abs(avols[v, fill(mkabstractvolume(n), erased)], apebs0, vols[v, fill(mkebatbl(n), unmapped)], q0), v ∈ vols, v ∈ avols, VTBL_VOLID ∈ vols

Rule argument

Additional information

Used simplifier rules: abs-idset-fwd: ⊦ id(apebs1, apebs0, mapped-pebs(vols)) ∧ valid-ebatbl(apebs0, wlar, vols, n0) ∧ abs(avols, apebs0, vols, q) → abs(avols, apebs1, vols, q); (forward) from specification ubi-abs% ⊦ v ∈ vols[v0, ebatbl] ↔ v = v0 ∨ v ∈ vols; (ws)%⊦ ¬ v ∈ vols → mapped-pebs(vols[v, fill(mkebatbl(n), unmapped)]) = mapped-pebs(vols); (s)