The statement of the theorem is/has been/<nothing> proved
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The statement of the theorem is/has been/ proved

 
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M_r. Q_u_e_s_t_i_o_n
Guest





Posted: Wed Oct 06, 2004 4:05 pm    Post subject: The statement of the theorem is/has been/ proved Reply with quote

Theorem. <Text of the proof>.

How to end?:
(1) The statement of the theorem is proved
(2) The statement of the theorem has been proved
(3) The statement of the theorem proved

Q.

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Don Phillipson
Guest





Posted: Wed Oct 06, 2004 5:20 pm    Post subject: Re: The statement of the theorem is/has been/ prove Reply with quote

"M_r. Q_u_e_s_t_i_o_n" <me@question.com> wrote in message
news:2shubuF1k9ua0U1@uni-berlin.de...

Quote:
Theorem. <Text of the proof>.

How to end?:
(1) The statement of the theorem is proved
(2) The statement of the theorem has been proved
(3) The statement of the theorem proved

Why not simply:
The theorem is proved.

--
Don Phillipson
Carlsbad Springs
(Ottawa, Canada)
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Christopher Green
Guest





Posted: Wed Oct 06, 2004 10:54 pm    Post subject: Re: The statement of the theorem is/has been/ prove Reply with quote

"M_r. Q_u_e_s_t_i_o_n" <me@question.com> wrote in message news:<2shubuF1k9ua0U1@uni-berlin.de>...
Quote:
Theorem. <Text of the proof>.

How to end?:
(1) The statement of the theorem is proved
(2) The statement of the theorem has been proved
(3) The statement of the theorem proved

Q.

The theorem has been proved.

"The statement of the theorem" is meaningless, unless you wish to
invite a debate over whether a theorem and the way it's expressed are
the same thing (they aren't).

Or you can, with great economy, write:

Q.E.D.

--
Chris Green

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