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Proof step 16 from proof prepost-update (previous step)

kar[m1] = key-index(key0, m), ar[m] = elemindex(a, m1), key-index(key0, m) = kar[m2], 2exp-size(# kar), m2 < m1, m2 < # kar, m2 < m0, heap-order(kar, m0), no-dups-idx(kar, m0), m0 ≤ m1, m0 ≤ # kar, ∀ m. m < m0 → kar[m].idx < # ar ∧ ar[kar[m].idx].idx = m ⊦ # keyset(kar, m0) = 0, keyset(kar, m0) = ∅

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 17:
ar[m] = elemindex(a, m1), kar[m1] = key-index(key0, m), key-index(key0, m) = kar[m2], 2exp-size(# kar), m2 < m0, m2 < # kar, m2 < m1, heap-order(kar, m0), no-dups-idx(kar, m0), m0 ≤ # kar, m0 ≤ m1, ∀ m. m < m0 → kar[m].idx < # ar ∧ ar[kar[m].idx].idx = m ⊦ # keyset(kar, m0) = 0, keyset(kar, m0) = ∅

Proof step 16 from proof prepost-update (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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