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Proof step 1 from proof unmodified-key-range-node (conclusion)

⊦ iast[adr] = indexnode(brar, bv0, m) ∧ n ≤ nused ∧ nused < BRANCH_SIZE ∧ # zbrar = BRANCH_SIZE ∧ unmodified(adr, mkznode(rp, zbrar, bv1, false, nused + 1), iast) → key-range(load(brar, 0, nused + 1), n, nused + 1, ri) = key-range(zbrar, n, nused + 1, ri)

System applied rule normalize

And obtained the following new goals

Proof step 2:
# zbrar = BRANCH_SIZE, iast[adr] = indexnode(brar, bv0, m), nused < BRANCH_SIZE, unmodified(adr, mkznode(rp, zbrar, bv1, false, nused + 1), iast), n ≤ nused ⊦ key-range(load(brar, 0, nused + 1), n, nused + 1, ri) = key-range(zbrar, n, nused + 1, ri)

Proof step 1 from proof unmodified-key-range-node (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information