What is a simple proof that something is np complete that does not use np completeness of something else?

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What is a simple proof that something is NP complete that does not use NP completeness of something else? Every proof seems to reduce to something else being NP complete.

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The simplest example I know of is the cook Levin theorem which states that the Boolean satisfiability problem is NP-complete. The proof is quite involved but basically involves trying model any problem as a series of true false decision problems>