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Theorem commit-inv

⊦ commit-inv(n, pstate, istore1, istore0, nx, gstore, gstore0, ginval, bv, err, rp, r, adr, height, dirty, ri, istore, as, as0, alladrs, P, zh) ↔ (∃ as1. refsize-cons(istore, as0 ∪ as1) ∧ as1 ∩ dom nodes(istore1) ⊆ as ∧ as1 ∩ as0 = ∅ ∧ ((btree(rp, r, adr, height, dirty, ri, nodes(istore) | as1, as1, alladrs, ok) * P))(zh)) ∧ istore1 ⊑ istore ∧ r ∈ zh ∧ n ≤ zh[r].usedsize ∧ zh[r].dirty ∧ ¬ zh[r].leaf ∧ inv-journal(nx, gstore, gstore0, ginval) ∧ inv-index(istore, istore0) ∧ inv-state(pstate, nx, gstore, istore, bv) ∧ (err = ESUCCESS → pstate.index? ∧ btree-sub-clean(r, n, zh))