I wonder if it is correct to say:
- From A there follows B
if you want to say that A entails B (or B is a consequence of A).
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I would avoid this construction.
The problem with "From A, there follows B" is that there is being used as a sort of relative pronoun that already implies from whatever its antecedent is. If you think of a similar construction using the more common "there goes", you could not say, "Into the sky, there goes the airplane." You could, however, say, "There goes the airplane into the sky."
So while I can't cite a firm grammatical rule, I do think it's an awkward joining of two types of sentences or phrases that are better off used alone. You could say, as alternatives, "There follows B, from A" or, "A, and there follows B" or even, "A. There follows also B."
In mathematics, especially logic, there is a useful expression meaning "when A is correct, B is also (or always) correct" and this is "B follows A", or, "from A follows B", or "supposing A is true, then B is true as well". It is highly technical,in no way it may imply that "B being true" means "A might be true". The expression mostly used in lectures is "B follows from A", given the Russian or Chinese or English origin of speakers, and all others following them.