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Proof step 9 from proof refine-erase (previous step)

# apebs = # wlar, vtblpnum2 < # avols[v], vtblpnum2 < # vols[v], abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum1), valid-eraseq(apebs, q), valid-eraseq(wlar, q), valid-eraseq(q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum1), valid-wl(apebs, wlar), v ∈ avols, v ∈ vols, ¬ VTBL_VOLID ∈ vols ⊦ [ubi_unmap#(v, vtblpnum2; vols, wlar, q, bflipset)] ( # apebs = # wlar ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum1) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum1) → ⟪ubi_erase_all#(vols, bflipset, vtblpnum1, sqnum; wlar, q, apebs; err)⟫ ⟨ebm_erase#(v, vtblpnum2; avols; err0)⟩ (abs(avols, apebs, vols, q) ∧ err = err0))

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 10:
# apebs = # wlar, vtblpnum0 = vtblpnum2, vtblpnum2 < # vols[v], vtblpnum2 < # avols[v], abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum1), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum1), valid-wl(apebs, wlar), v ∈ vols, v ∈ avols ⊦ [if v ∈ vols ∧ vtblpnum0 < # vols[v] then let ebae = vols[v][vtblpnum0] in if ebae ≠ unmapped then let vtblpnum = ebae.pnum in {vols[v][vtblpnum0] := unmapped; bflipset := bflipset -- vtblpnum; ubi_wl_put_peb#(v × vtblpnum0, vtblpnum; wlar, q)} else abort] ( # apebs = # wlar ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ ¬ VTBL_VOLID ∈ vols ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum1) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum1) → ⟪ubi_erase_all#(vols, bflipset, vtblpnum1, sqnum; wlar, q, apebs; err)⟫ ⟨ebm_erase#(v, vtblpnum2; avols; err0)⟩ (abs(avols, apebs, vols, q) ∧ err = err0)), VTBL_VOLID ∈ vols

Rule argument

pos: right 1

Additional information

Used simplifier rules: ubi_unmap#(VOLID, LNUM; VOLS, WLARRAY, ERASEQ, BFLIPSET) {if VOLID ∈ VOLS ∧ LNUM < # VOLS[VOLID] then let EBAENT = VOLS[VOLID][LNUM] in if EBAENT ≠ unmapped then let PNUM = EBAENT.pnum in {VOLS[VOLID][LNUM] := unmapped; BFLIPSET := BFLIPSET -- PNUM; ubi_wl_put_peb#(VOLID × LNUM, PNUM; WLARRAY, ERASEQ)} else abort };