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Discover Ludwig"follows immediately" is a grammatically correct phrase and can be used in written English.
It means that something comes directly after or right after something else. Example: The introduction of the novel follows immediately after the table of contents.
Exact(60)
The proof of the following follows immediately.
The following property follows immediately from (2.1).
A reception follows immediately after each lecture.
Item (i) follows immediately.
Thus, (3.17) follows immediately.
hence (2.28) follows immediately.
The converse follows immediately.
Proposition 3.2 follows immediately.
Then (4.1) follows immediately.
Then, this corollary follows immediately.
This follows immediately from (8.2).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com