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Proof step 20 from proof prepost-get-min (previous step)

kar[0] = key-index(key0, m0), 2exp-size(# kar), key < key0, heap-order(kar, m), no-dups-idx(kar, m), valid-idx(kar, ar, m), key-index(key, m1) ∈ keyset(kar, m), m ≤ # kar ⊦ # keyset(kar, m) = 0, # kar = 0, keyset(kar, m) = ∅

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 21:
kar[0] = key-index(key0, m0), 2exp-size(# kar), key < key0, heap-order(kar, m), no-dups-idx(kar, m), valid-idx(kar, ar, m), key-index(key, m1) ∈ keyset(kar, m), m ≤ # kar ⊦ # kar = 0, # keyset(kar, m) = 0, keyset(kar, m) = ∅

Proof step 20 from proof prepost-get-min (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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