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Proof step 5 from proof unmodified-clean-fwd-zbrar (previous step)

# zbrar0 = BRANCH_SIZE, BRANCH_SIZE = # zbrar1, iast[adr] = save(mkznode(rp0, zbrar0, bv, false, nused)), iast[adr] = indexnode (save(mkznode(rp1, zbrar1, bv, false, nused).zbranches, 0, mkznode(rp1, zbrar1, bv, false, nused).usedsize), mkznode(rp1, zbrar1, bv, false, nused).leaf, mkznode(rp1, zbrar1, bv, false, nused).usedsize), zbrar0[n] = mkzbranch(key, adr0, r2), n < BRANCH_SIZE, n < nused, adr ∈ iast, nused ≤ BRANCH_SIZE ⊦ ∃ r0. zbrar1[n] = mkzbranch(key, adr0, r0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
# zbrar0 = BRANCH_SIZE, BRANCH_SIZE = # zbrar1, iast[adr] = indexnode(save(zbrar1, 0, nused), bv, nused), zbrar0[n] = mkzbranch(key, adr0, r2), indexnode(save(zbrar1, 0, nused), bv, nused) = save(mkznode(rp0, zbrar0, bv, false, nused)), n < BRANCH_SIZE, n < nused, adr ∈ iast, nused ≤ BRANCH_SIZE ⊦ ∃ r0. zbrar1[n] = mkzbranch(key, adr0, r0)

Rule argument

Additional information

Used simplifier rules: save-properties: ⊦ save(znd) = indexnode(brar, bv, n) → (bv ↔ znd.leaf) ∧ n = znd.usedsize; (forward) from specification znode-ops% ⊦ mkznode(r, zbrar, boolvar, boolvar0, m).leaf ↔ boolvar; (s)% ⊦ mkznode(r, zbrar, boolvar, boolvar0, m).usedsize = m; (s)% ⊦ mkznode(r, zbrar, boolvar, boolvar0, m).zbranches = zbrar; (s)