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r - How to detect that a vector is subset of specific vector?

I have two vectors (sets) like this:

first<-c(1,2,3,4,5)
second<-c(2,4,5)

how can I detect that whether second is subset of first or not? is there any function for this?

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Here's one way

> all(second %in% first)
[1] TRUE

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