*To*: Christian Sternagel <c.sternagel at gmail.com>, "isabelle-users at cl.cam.ac.uk" <isabelle-users at cl.cam.ac.uk>*Subject*: Re: [isabelle] system of representatives of an equivalence relation*From*: Dmitriy Traytel <traytel at in.tum.de>*Date*: Fri, 11 Apr 2014 10:32:49 +0200*In-reply-to*: <5347A4DE.4080606@gmail.com>*References*: <53479EA6.9030208@gmail.com> <5347A2BF.8010602@in.tum.de> <5347A4DE.4080606@gmail.com>*User-agent*: Mozilla/5.0 (X11; Linux x86_64; rv:24.0) Gecko/20100101 Thunderbird/24.4.0

Am 11.04.2014 10:16, schrieb Christian Sternagel:

Thanks Dimitriy, That looks similar to the construction I'm currently using ;), i.e., "repsys A R = {(SOME x. x ∈ X) | X. X ∈ A // R}"I was hoping that some properties are already proved about it. E.g.,that two non-equal elements of "repsys A R" are not in relation w.r.t."R", "repsys A R" is a subset of "A", ...But it should be easy to do anyway.

Indeed.

btw: I could not find the constant "proj" in Equiv_Relations.

Dmitriy

**References**:**[isabelle] system of representatives of an equivalence relation***From:*Christian Sternagel

**Re: [isabelle] system of representatives of an equivalence relation***From:*Dmitriy Traytel

**Re: [isabelle] system of representatives of an equivalence relation***From:*Christian Sternagel

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