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Proof step 9 from proof btree-adrs (previous step)

# zbrar = BRANCH_SIZE, ((r => mkznode(rp, zbrar, true, false, nused) * P))(zh0), nsize(nused, nstat), sorted(zbrar, 0, nused), unmodified(adr0, mkznode(rp, zbrar, true, false, nused), iast), nused ≤ BRANCH_SIZE, (rp0 = null ⊃ P(zh);r = rp0 ∧ zh0 = zh) ⊦ adr0 ∈ iast

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: zbranch-array-ops name: unmodified seq: ⊦ unmodified(adr, znd, iast) ↔ ¬ znd.dirty → adr ∈ iast ∧ iast[adr] = save(znd) subst: [iast, znd, adr, r, rp] → [iast, mkznode(rp, zbrar, true, false, nused), adr0, rp0, rp] flags: <all paths>

Additional information

Used simplifier rules: ⊦ mkznode(r, zbrar, boolvar, boolvar0, m).dirty ↔ boolvar0; (s) Used terms: iast, mkznode(rp, zbrar, true, false, nused), adr0, rp0, rp