I have only recently proved a result of this sort, and thinking back, the need 
to write out

        !x y. P x & P y —> x=y

has always been one of my pet bugbears.

I don’t think a fancy symbol is needed for something that will be fairly 
lightly used however.

Larry

> On 27 Apr 2020, at 11:58, Tobias Nipkow <[email protected]> wrote:
> 
> I don't recall feeling the need for it, although I may just be too used to 
> what we have to conceive of notions beyond. But I have (almost) never seen it 
> anywhere else. There are of course the counting quantifiers.
> 
> Having said that, I wouldn't object to an "at most one" quantifier provided 
> it has a decent syntax. See 
> https://math.stackexchange.com/questions/1205464/quantifier-for-there-is-at-most-one

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