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Proof step 17 from proof subarray-split-size (previous step)

n2 < n0 + n1, n2 < # copy(ar, n, mkarray(n0), 0, n0) + # copy(ar, n + n0, mkarray(n1), 0, n1) ⊦ ar[n2 + n] = (n2 < # copy(ar, n, mkarray(n0), 0, n0) ⊃ copy(ar, n, mkarray(n0), 0, n0)[n2] ;copy(ar, n + n0, mkarray(n1), 0, n1)[n2 - # copy(ar, n, mkarray(n0), 0, n0)] )

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
n2 < n0 + n1 ⊦ ar[n2 + n] = (n2 < n0 ⊃ copy(ar, n, mkarray(n0), 0, n0)[n2];copy(ar, n + n0, mkarray(n1), 0, n1)[n2 - n0])

Rule argument

Additional information

Used simplifier rules: ⊦ # mkarray(n) = n; (s)% ⊦ # copy(ar, m, ar0, m0, n) = # ar0; (s)