1.
that means; so; which is to say
Used at the head of a sentence to draw a conclusion from what was just said or noticed. The speaker is working out an implication aloud, often with a note of realization.
2.
the fact that ~ (means)
Placed after a clause to turn it into the topic — "the fact that X" — with the sentence then stating what that fact shows or entails.
Related Words
Compare:
つまり (in other words)
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だとすると (if that is the case)
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すなわち (namely, that is)
Compare:
てことは (so that means, in other words)