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Proof step 8 from proof unmodified-clean-fwd-zbrar (previous step)

# zbrar0 = BRANCH_SIZE, BRANCH_SIZE = # zbrar1, zbrar0[n] = mkzbranch(key, adr0, r2), iast[adr] = indexnode(save(zbrar1, 0, nused), bv, nused), indexnode(save(zbrar1, 0, nused), bv, nused) = indexnode (save(mkznode(rp0, zbrar0, bv, false, nused).zbranches, 0, mkznode(rp0, zbrar0, bv, false, nused).usedsize), mkznode(rp0, zbrar0, bv, false, nused).leaf, mkznode(rp0, zbrar0, bv, false, nused).usedsize), n < nused, n < BRANCH_SIZE, 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 9:
# zbrar0 = BRANCH_SIZE, BRANCH_SIZE = # zbrar1, iast[adr] = indexnode(save(zbrar0, 0, nused), bv, nused), zbrar0[n] = mkzbranch(key, adr0, r2), save(zbrar1, 0, nused) = save(zbrar0, 0, 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: ⊦ indexnode(brar, boolvar, m) = indexnode(brar0, boolvar0, m0) ↔ brar = brar0 ∧ (boolvar ↔ boolvar0) ∧ m = m0; (ws)% ⊦ 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)