Statement 1: A full-time candidate for the degree may be permitted to undertake part-time work in the University subject to such conditions as may be prescribed by the University.
Let Work-at-University () be divided into full time work
and part-time work
such that
.
Also, we classify the students () as full time students (
) and part-time students (
) where
.
We wish to investigate the relation between and
.
Accordingly, we interpret Statement 1 as
Statement 2: Full time students can (only) take part-time work (in University) i.e. .
By contrapositive,
Statement 3: Non-part-time work (in University) can be carried out by non-full-time students i.e. .
Since and
, we say,
Statement 4: Full-time work can be carried out by part-time students i.e. .
Lastly, since being lecturer is full-time work in university, you can only be part-time student (postgraduate) in University.
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Special thanks to Tan for helping me proof theory … -_- …
S_f \to W_p but is W_p \to S_f ? if cannot prove the latter then ur statement is not correct…
by the way, the sentence before statement 4 has typo?
You have good eyes. I think only man man will check my equations one by one. Anyway, I like it.
Yes. It is a typo and I have corrected it.
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I lazy to prove the sentence. I was told “it is like that according to policy”. So I just follow.
lol~ policy is not to be proved, it is to be broken, muahahah!