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Theorem update

bin_min_heap_update#(n, key; bh, ar) {if ¬ n < bh.size then abort; let key0 = bh.ar[n].key in {bh.ar[n].key := key; if key < key0 then bin_min_heap_bubble_up#(n; bh, ar) else bin_min_heap_bubble_down#(n; bh, ar)} }