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Discover LudwigThe phrase 'by induction' is a correct and usable form of English.
It typically refers to a process of reasoning by which a conclusion or fact is reached through logical steps from specific known facts or general theories. For example, "By induction, we can surmise that the same pattern will continue in the future."
Exact(60)
So the claim immediately follows by induction.
By induction.
The general case follows by induction.
By induction again, (2.5).
Then by induction, (3.19).
Proof Follows by induction.
Thus, by induction, (4.7).
Hence,, and by induction,.
We follow by induction.
We prove by induction.
We do this by induction.
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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