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Proof step 14 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) ⊦ mkznode(rp, zbrar, true, false, nused).dirty, adr ∈ iast1 ∧ iast1[adr] = save(mkznode(rp, zbrar, true, false, nused))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
# 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))

Rule argument

Additional information

Used simplifier rules: restrict-add-subseteq-in: ⊦ iast0 | (as ++ adr) ⊆ iast1 ∧ adr ∈ iast0 → adr ∈ iast1;% ⊦ mkznode(r, zbrar, boolvar, boolvar0, m).dirty ↔ boolvar0; (s)