How can I create a partial function application for a non-symmetric operator such as the modulus operator with regards to the first argument without any argument names in F#
You can define flip function which is common in point-free style:
let inline flip f x y = f y x
and use it like this:
let (%-) = flip (%)
let mod10 = (%-) 10
or directly like this:
let mod10 = flip (%) 10
Point-free style is not always readable (as in this example) and not popular in F# programming.