Language question



Hi!
I often use phrases like:
it holds x=y
(Probably it comes from the fact, that in Slovak one says "plati x=y";
I guess something similar can be saind in German "es gillt x=y").

My advisor thinks that the phrase "it holds x=y" is incorrect (from the
viewpoint of English grammar) and that I should use "x=y holds"
instead.

Of course, this is no big deal, but sometimes it is a problem. Example:
For any x in C it holds x>=y.
For any x in C x>=y holds.
There are two formulars one after the others - I don't find this good.
(As well Knuth doesn't recommend this in his lecture notes on
mathematical writing.)
Of course one can say:
For any x in C the inequality x>=y holds.
But I don't like including the inequality, the equality, the inclusion
etc. all the time.

I thought that instead of looking in various grammar books, it is
bettter to ask here - since plenty of native speakers which are active
mathematicians.

So what do you think?
Is the phrase "it holds x in A" wrong?
What about "it holds that x in A"?

TIA
Martin

.



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