I guess that every np-complete problem reduces to the np-hard problem, so the given statement is true. But don't know how to prove it.
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1Halting problem is not NP-hard. It is unsolvable. – user58697 Jul 29 '20 at 18:53
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Every problem in NP reduces to every NP-hard problem, and a problem is NP-complete if it's in NP and it's NP-hard. You don't prove those things. Those are the *definitions* of NP-complete and NP-hard. You *could* reduce every NP-complete problem to halting, but why? – Matt Timmermans Jul 29 '20 at 19:51