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Proof step 46 from proof prepost-resize (previous step)

kar[m0] = key-index(key, m1), ar[m1] = elemindex(a, m2), 2exp-size(# kar), 2exp-size(n0), m0 < n0, m0 < # kar, m0 < minsize, m0 < m, m < n0, m < minsize, m0 + 1 < minsize, m0 + 1 < n0, m1 < # ar, heap-order(kar, m), no-dups-idx(kar, m), minsize ≤ n0, m ≤ # kar, ∀ m0. m0 < m → kar[m0].idx < # ar ∧ ar[kar[m0].idx].idx = m0 ⊦ m2 = m0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 47:
ar[m1] = elemindex(a, m2), kar[m0] = key-index(key, m1), 2exp-size(n0), 2exp-size(# kar), m1 < # ar, m0 + 1 < n0, m0 + 1 < minsize, m < minsize, m < n0, m0 < m, m0 < minsize, m0 < # kar, m0 < n0, heap-order(kar, m), no-dups-idx(kar, m), m ≤ # kar, minsize ≤ n0, ∀ m0. m0 < m → kar[m0].idx < # ar ∧ ar[kar[m0].idx].idx = m0 ⊦ m2 = m0

Proof step 46 from proof prepost-resize (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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