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Proof step 13 from proof ubi-is-max-unique (previous step)

# apebs = # wlar1, apebs[m0] = mkpeb(aehdr, avhdr, buf, m, boolvar), bflipset-cons(bflipset1, wlar1), is-encoded(vtbl, buf), is-max(apebs, vols0, wlar0, q0, bflipset0, n0, n1), unique-sqns(apebs), valid-ebatbl(apebs, wlar1, vols1, m0), valid-eraseq(q1), valid-eraseq(wlar1, q1), valid-eraseq(apebs, q1), valid-eraseq-strong(apebs, vtbl, q1), valid-global-sqn(apebs, m1), valid-vtbl(apebs, vols1, wlar1, m0), valid-wl(apebs, wlar1), vols1 ⊆ vols0 ⊦ VTBL_VOLID ∈ vols1, m0 ∈ q1, vols0 ⊆ vols1, # wlar1 = # wlar0 ∧ valid-global-sqn(apebs, n1) ∧ valid-wl(apebs, wlar0) ∧ valid-eraseq(q0) ∧ valid-eraseq(wlar0, q0) ∧ valid-eraseq(apebs, q0) ∧ ¬ VTBL_VOLID ∈ vols0 ∧ bflipset-cons(bflipset0, wlar0) ∧ valid-ebatbl(apebs, wlar0, vols0, n0) ∧ valid-vtbl(apebs, vols0, wlar0, n0)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: ubi-crash-recovery-base name: vols-is-max-weak seq: ⊦ is-max(apebs, vols, wlar, q, bflipset, n0, n1) ↔ ubi-cons(apebs, vols, wlar, q, bflipset, n0, n1) ∧ (∃ vtbl. is-encoded(vtbl, apebs[n0].data) ∧ valid-eraseq-strong(apebs, vtbl, q)) subst: [n1, n0, bflipset, q, wlar, vols, apebs] → [n1, n0, bflipset0, q0, wlar0, vols0, apebs] flags: <all paths>

Additional information

Used simplifier rules: lf-vtbl-info: ⊦ valid-vtbl(apebs, vols, wlar, n) ∧ valid-eraseq(wlar, q) → ¬ n ∈ q;%⊦ 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)% ⊦ valid-eraseq-strong(apebs, vtbl, q) → valid-eraseq(q); (ss)% ⊦ valid-eraseq-strong(apebs, vtbl, q) → valid-eraseq(apebs, q); (ss) Used terms: n1, n0, bflipset0, q0, wlar0, vols0, apebs