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Proof step 15 from proof btree-istore-reduce-refed (previous step)

# zbrar = BRANCH_SIZE, ((r => mkznode(rp, zbrar, true, false, nused) * P))(zh0), nsize(nused, nstat), sorted(zbrar, 0, nused), unmodified(adr, mkznode(rp, zbrar, true, false, nused), iast0), adr ∈ iast0, nused ≤ BRANCH_SIZE, iast0 | (∅ ++ adr) ⊆ iast1, (rp0 = null ⊃ P(zh);r = rp0 ∧ zh0 = zh) ⊦ iast1[adr] = save(mkznode(rp, zbrar, true, false, nused))

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] → [iast0, mkznode(rp, zbrar, true, false, nused), adr] flags: <all paths>

Additional information

Used simplifier rules: restrict-add-subseteq-at: ⊦ iast0 | (as ++ adr) ⊆ iast1 ∧ adr ∈ iast0 ∧ iast0[adr] = ind → iast1[adr] = iast0[adr];% ⊦ mkznode(r, zbrar, boolvar, boolvar0, m).dirty ↔ boolvar0; (s) Used terms: iast0, mkznode(rp, zbrar, true, false, nused), adr