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Proof step 35 from proof prepost-get-peb (previous step)

# apebs = # wlar, # apebs1 = # wlar, # wlar1 = # wlar, err = ESUCCESS, free-ecs(wlar) = ∅, q = eq-entry(m, lref) ' + q1, vtblpnum = m, m < # wlar, bflipset-cons(bflipset, wlar), id(apebs1, apebs, mapped-pebs(vols)), id○(wlar1, wlar, m), id○(apebs1, apebs, m), ubi-io-inv(apebs1), ubi-io-inv(apebs), unique-sqns(apebs), valid-ebatbl(apebs, wlar, vols, vtblpnum0), valid-eraseq(apebs, eq-entry(m, lref) ' + q1), valid-eraseq(wlar, eq-entry(m, lref) ' + q1), valid-eraseq(eq-entry(m, lref) ' + q1), valid-global-sqn(apebs, sqnum), valid-vtbl(apebs, vols, wlar, vtblpnum0), valid-wl(apebs, wlar), err = ESUCCESS → unique-sqns(apebs1) ∧ valid-global-sqn(apebs1, sqnum) ∧ valid-wl(apebs1, wlar1) ∧ valid-eraseq(q1) ∧ valid-eraseq(wlar1, q1) ∧ valid-eraseq(apebs1, q1) ∧ bflipset-cons(bflipset, wlar1) ∧ valid-ebatbl(apebs1, wlar1, vols, vtblpnum0) ∧ valid-vtbl(apebs1, vols, wlar1, vtblpnum0), err ≠ ESUCCESS → unique-sqns(apebs1) ∧ valid-global-sqn(apebs1, sqnum) ∧ valid-wl(apebs1, wlar1) ∧ valid-eraseq(wlar1, eq-entry(m, lref) ' + q1) ∧ valid-eraseq(apebs1, eq-entry(m, lref) ' + q1) ∧ bflipset-cons(bflipset, wlar1) ∧ valid-ebatbl(apebs1, wlar1, vols, vtblpnum0) ∧ valid-vtbl(apebs1, vols, wlar1, vtblpnum0), err = ESUCCESS ∨ ⌊err⌋ ⊦ wlar1[m].status = used, q = [], vtblpnum0 = m, vtblpnum < # wlar1, VTBL_VOLID ∈ vols, vtblpnum0 ∈ q1

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: lf-vtbl-info: ⊦ valid-vtbl(apebs, vols, wlar, n) ∧ valid-eraseq(wlar, q) → ¬ n ∈ q;% ⊦ ¬ n < n; (s)%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat% ⊦ m < n ↔ ¬ n ≤ m; (ss)%a: ⊦ (q + q0) + q1 = q + q0 + q1; from specification list[erasequeue-base]% ⊦ eqent ' + q ≠ []; (s)