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Proof step 65 from proof prepost-resize (previous step)

(m * 2 ≤ m1 ⊃ mkkeyarray(n0)[m1 / 2];kar[m1 / 2]) = key-index(key0, m2), kar[1 + m1] = key-index(key, m0), 2exp-size(# kar), 2exp-size(n0), m1 + 1 < # kar, m1 + 1 < minsize, m < n0, m < minsize, m1 + 1 < m, key < key0, 2 + m1 < n0, 2 + m1 < minsize, m1 + 1 < n0, m1 / 2 < n0, heap-order(kar, m), no-dups-idx(kar, m), valid-idx(kar, ar, m), m ≤ # kar, minsize ≤ n0 ⊦

Heuristic if-then-else split applied rule case distinction

And obtained the following new goals

Rule argument

pos: left 1

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