# Why are direct proofs often considered better than indirect proofs?

Why are direct proofs often considered better than indirect proofs?
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Momellaxi
A direct proof often provides more information: if, for example, you want to show that there exists a number with some property, then a direct proof is much more likely than an indirect proof to tell you what that number actually is. This is also true for more complicated statements: if you want to prove "For all $x$ there is some $y$ such that [stuff]," you probably also want to know a particular function spitting out such a $y$ for each given $x$. Again, a direct proof is much more likely to provide that information to you.