It would be great if we could finalise the proposal for the uniqueness 
quantifier.

I was planning to do this in a strictly upward compatible way, so with no 
implications for the existing quantifier notations and no changes to existing 
theorems, but a few new theorems. For that I think that "∃⇩≤⇩1” is a standard 
notation and works well enough. The notation “∃!” for unique existence is also 
absolutely standard and surely does not need to change.

Larry

> On 2 May 2020, at 18:17, Makarius <[email protected]> wrote:
> 
> In contrast, the other idea "∃⇩≤⇩1" from Mathoverflow would come out for Ex1
> as "∃⇩=⇩1" or "∃⇩1", and thus introduce an incoherence of notation.
> 

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