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What's that word meaning 'thus more strongly'? As in X applies to Y, and thus even more strongly to Z. E.g.:

The body's immune system needs warmth, so adequate heating is good for you (and [this conclusion follows with even more force] for sick people)

I seem to remember that there is such a word, and it's Latin, though I could be wrong.

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up vote 10 down vote accepted

a fortiori

(It has an entry in Wikipedia.)

In Hebrew, we call it a Kal Vachomer (if this is true in a lenient case, it is all the more true in a strict case).

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I'm sure this is just me, but I like the other answers a lot better, as I've never heard of this phrase. – Mr Lister Feb 18 '13 at 8:23
OP did ask for a Latin phrase, but it sounds like something only a lawyer or someone who learned Latin would ever think to say. The other answers sound more natural in everyday speech. – Iain Elder Feb 18 '13 at 17:07
I'm not a lawyer but I occasionally teach Rhetoric to my high school students. – Dan Feb 18 '13 at 17:16
@IainElder I did learn Latin and I'd never think to say this. – KRyan Apr 28 '13 at 13:38

Perhaps a simpler, non-Latin phrase?

Adequate heating is good for you, and particularly for sick people


Adequate heating is good for you, and doubly so for sick people

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Or especially, while we're sticking to the actual words people are most likely to use. – FumbleFingers Feb 18 '13 at 0:12
"Time is an illusion; lunchtime doubly so." – Hammerite Feb 18 '13 at 10:55

A further option in addition to those already posted:

Adequate heating is good for you, and moreso/more so for sick people.

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