Re: properties
Josef Urban <[email protected]>
| Newsgroups | gmane.comp.mathematics.mizar |
|---|---|
| Message-ID | <CAFP4q17ozevxk4tdagJ4ezWkGpimxAQxySPhZc-dCLrBqOJkqw@mail.gmail.com> |
identity? Aren't these all keywords obsolete now that there is "identify" in Mizar? Best, Josef On Wed, Aug 10, 2011 at 3:12 PM, Artur Kornilowicz <[email protected]> wrote: > In mathematics there are unary operations (let say f) satisfying property > > f^m(x) = f^n(x). > > Some of them have commonly used names, like > > for m = 2, n = 1, that is f(f(x)) = f(x) - projectivity > > for m = 2, n = 0, that is f(f(x)) = x - involutiveness > > > > In the MML there are theorems about operations satisfying the property > for m = 1 and n = 0, for example: > > theorem > for m being Nat holds m = abs m > > theorem > for T being non empty TopSpace, a being Point of T, > P being constant Path of a,a > holds - P = P > > We are thinking about implementation of the property (m=1,n=0) in Mizar, and > we are looking for an appropriate name for it. > > Any suggestions? > > Best regards > Artur >