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please give me answer in 10 min I will rate for sure If f: (M,p) > (No) is a continuous function between two metric spaces,

please give me answer in 10 min I will rate for sure

If f: (M,p) > (No) is a continuous function between two metric spaces, then f: (M, Tp ) > (N, T0) is a continuous function between the topological spaces with the topologies induced by the metrics. how can I prove it rigorously

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