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Proof step 9 from proof ubi-is-max-unique (previous step)

is-max(apebs, vols1, wlar1, q1, bflipset1, m0, m1), is-max(apebs, vols0, wlar0, q0, bflipset0, n0, n1), # apebs = # wlar1 ∧ unique-sqns(apebs) ∧ valid-global-sqn(apebs, m1) ∧ valid-wl(apebs, wlar1) ∧ valid-eraseq(q1) ∧ valid-eraseq(wlar1, q1) ∧ valid-eraseq(apebs, q1) ∧ ¬ VTBL_VOLID ∈ vols1 ∧ bflipset-cons(bflipset1, wlar1) ∧ valid-ebatbl(apebs, wlar1, vols1, m0) ∧ valid-vtbl(apebs, vols1, wlar1, m0) → vols1 ⊆ vols0, # apebs = # wlar0 ∧ unique-sqns(apebs) ∧ 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) → vols0 ⊆ vols1 ⊦ vols0 = vols1

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] → [m1, m0, bflipset1, q1, wlar1, vols1, apebs] flags: <all paths>

Additional information

Used terms: m1, m0, bflipset1, q1, wlar1, vols1, apebs