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Proof step 108 from proof prepost-remove (previous step)

kar[m1] = key-index(key, m), ar[m] = elemindex(a, m1), ar0 = ar, bh = bh0.size:= (bh0.size - 1), bh0 = bin-heap(kar, m0), n = m1, 2exp-size(# kar), n < bh0.size, heap-order(kar, m0), no-dups-idx(kar, m0), valid-idx(kar, ar, m0), key-index(key, m) ∈ keyset(kar, m0), m0 ≤ # kar, bh0.size ≥ 1 ⊦ ⟪skip⟫ ( bh.size ≤ # bh.ar ∧ no-dups-idx(bh.ar, bh.size) ∧ valid-idx(bh.ar, ar, bh.size) ∧ 2exp-size(# bh.ar) ∧ heap-order(bh.ar, bh.size) ∧ id-idx(ar0, ar) ∧ keyset(bh.ar, bh.size) = keyset(kar, m0) -- key-index(key, m)), # keyset(kar, m0) = 0, keyset(kar, m0) = ∅, bh.size ≠ 0 ∧ bh.size ≠ n

Heuristic symbolic execution applied rule skip right

And obtained the following new goals

Rule argument

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