how to apply not exists function in r inside sapply

I was using this exists function to see if an object is in my environment or not. However, when I apply !exists inside the sapply, it throws an error. Does anyone know why this is happening?
code is below

x <- c(2,3,4)
y <- c(5,6,9)
any(sapply(c("x", "y"), exists)) # it works but
any(sapply(c("x", "y"), !exists)) # not working

Thank you!

I think the problem is that !exists is not a function. This does not throw an error

x <- c(2,3,4)
y <- c(5,6,9)
any(sapply(c("x", "y"), function(thing) !exists(thing)))

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