Question: Prove that the distance values extracted from the heap (priority queue) over the entire execution of Dijkstras single source shortest path algorithm, in a directed

Prove that the distance values extracted from the heap (priority queue) over the entire execution of Dijkstras single source shortest path algorithm, in a directed connected graph with positive edge weights, is a NON-Decreasing sequence. Where is this fact used in the correctness of the algorithm?

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