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Proof step 1 from proof range-extend (conclusion)

n + m1 ≤ # ar, n0 + m0 + m1 ≤ # ar0 ⊦ range=(copy(ar, n, ar0, n0 + m0, m1), n0, ar1, n1, m0 + m1) ↔ range=(ar0, n0, ar1, n1, m0) ∧ range=(ar, n, ar1, n1 + m0, m1)

System applied rule normalize

And obtained the following new goals

Proof step 2:
n0 + m0 + m1 ≤ # ar0, n + m1 ≤ # ar ⊦ range=(copy(ar, n, ar0, n0 + m0, m1), n0, ar1, n1, m0 + m1) ↔ range=(ar0, n0, ar1, n1, m0) ∧ range=(ar, n, ar1, n1 + m0, m1)

Proof step 1 from proof range-extend (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information