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Proof step 57 from proof refine-erase (previous step)

# apebs = # wlar, apebs = apebs, apebs1 = apebs, bflipset0 = bflipset, q = q, q1 = q, sqnum0 = sqnum, unmapped = vols[v][vtblpnum2], vols0 = vols, vtblpnum0 = vtblpnum1, vtblpnum2 < # vols[v], vtblpnum2 < # avols[v], abs(avols, apebs, vols, q), bflipset-cons(bflipset, wlar), ebm-cons(avols), ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum1, sqnum), 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 ⊦ [ubi_erase_all#(vols, bflipset, vtblpnum1, sqnum; wlar, q, apebs; err)] ( ubi-cons(apebs, vols0, wlar, q, bflipset0, vtblpnum0, sqnum0) ∧ ubi-io-inv(apebs) ∧ id(apebs, apebs1, mapped-pebs(vols0)) ∧ q ⊆ q1 ∧ (err = ESUCCESS → q = []) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) → ⟨ebm_erase#(v, vtblpnum2; avols; err0)⟩ (abs(avols, apebs, vols, q) ∧ err = err0)), avols[v][vtblpnum2].mapped?, VTBL_VOLID ∈ vols

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 58:
# apebs = # wlar, apebs1 = apebs, q1 = q, unmapped = vols[v][vtblpnum2], 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, ¬ avols[v][vtblpnum2].mapped?, ¬ VTBL_VOLID ∈ vols ⊦ [ubi_erase_all#(vols, bflipset, vtblpnum1, sqnum; wlar, q, apebs; err)] ( # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, sqnum) ∧ valid-wl(apebs, wlar) ∧ valid-eraseq(q) ∧ valid-eraseq(wlar, q) ∧ valid-eraseq(apebs, q) ∧ bflipset-cons(bflipset, wlar) ∧ valid-ebatbl(apebs, wlar, vols, vtblpnum1) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum1) ∧ ubi-io-inv(apebs) ∧ id(apebs, apebs1, mapped-pebs(vols)) ∧ q ⊆ q1 ∧ (err = ESUCCESS → q = []) ∧ (err = ESUCCESS ∨ ⌊err⌋ ) → ⟨ebm_erase#(v, vtblpnum2; avols; err0)⟩ (abs(avols, apebs, vols, q) ∧ err = err0))

Rule argument

Additional information

Used simplifier rules: ⊦ ubi-cons(apebs, vols, wlar, q, bflipset, n0, n1) ↔ # apebs = # wlar ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, n1) ∧ 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, n0) ∧ valid-vtbl(apebs, vols, wlar, n0); (s)