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Proof step 2 from proof prepost-get-peb (previous step)

apebs0 = apebs, q0 = q, wlar0 = wlar, ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum, sqnum), ubi-io-inv(apebs) ⊦ ⟪ubi_wl_get_peb#(; n, wlar, q, apebs; err)⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ (err ≠ ESUCCESS → ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum, sqnum)) ∧ ubi-io-inv(apebs) ∧ q.lebrefs ⊆ q0.lebrefs ∧ id(apebs, apebs0, mapped-pebs(vols)) ∧ ( err = ESUCCESS → n < # apebs ∧ wlar[n].status = free ∧ (apebs0 = apebs ∧ wlar0 = wlar ∧ q0 = q ∨ id○(apebs0, apebs, n) ∧ id○(wlar0, wlar, n) ∧ q0 ≠ [] ∧ q0 = eq-entry(n, q0.head.lebref) + q) ∧ ubi-cons(apebs, vols, wlar, q, bflipset, vtblpnum, sqnum)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
# apebs = # wlar, apebs0 = apebs, q0 = q, wlar0 = wlar, bflipset-cons(bflipset, wlar), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum), valid-eraseq(q), valid-eraseq(wlar, q), valid-eraseq(apebs, q), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum), valid-wl(apebs, wlar), ¬ VTBL_VOLID ∈ vols, ¬ vtblpnum ∈ q ⊦ ⟪ubi_wl_get_peb#(; n, wlar, q, apebs; err)⟫ ( (err = ESUCCESS ∨ ⌊err⌋ ) ∧ ( err ≠ ESUCCESS → # 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, vtblpnum) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum)) ∧ ubi-io-inv(apebs) ∧ q.lebrefs ⊆ q0.lebrefs ∧ id(apebs, apebs0, mapped-pebs(vols)) ∧ ( err = ESUCCESS → n < # apebs ∧ wlar[n].status = free ∧ (apebs0 = apebs ∧ wlar0 = wlar ∧ q0 = q ∨ id○(apebs0, apebs, n) ∧ id○(wlar0, wlar, n) ∧ q0 ≠ [] ∧ q0 = eq-entry(n, q0.head.lebref) ' + q) ∧ # 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, vtblpnum) ∧ valid-vtbl(apebs, vols, wlar, vtblpnum)))

Rule argument

Additional information

Used simplifier rules: lf-vtbl-info: ⊦ valid-vtbl(apebs, vols, wlar, n) ∧ valid-eraseq(wlar, q) → ¬ n ∈ q;% ⊦ eqent + q = eqent ' + q; (s)%⊦ 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)