No.
Note that the design of many curried-function APIs takes argument order into careful consideration so that the most-common-case of partial application has those arguments first so that the partial application is 'for free'. But if you need to fix a subset of arguments that aren't the first arguments, then you must introduce a lambda ('fun'), as you have.
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I make constant use out of the ability to partially apply a function. For example
let f x y = x + y
let g = f 4
What I'd like to to do is be able to choose arbitrarily which parameter to bind the value to. What is the best idiom for doing this? Lately I've found myself doing things like this:
let g = (fun y -> f 4 x)
but it just "feels" weird. Is there a better way?