Suggestions(1)
Exact(17)
The statement holds for (n=1).
Therefore, from (327). the statement holds for.
An analogous statement holds for the commutativity.
The reverse statement holds for smaller values of x.
Suppose that (nge 2) and that the statement holds for (n-1).
Suppose that (n>3 k+1)) and the statement holds for (n-1) in the following.
Similar(43)
The following statements hold for.
The following statements hold for (2.4).
Analogous statements hold for ((0,q -forms with values in a vector bundle.
Now assume that is such that both statements hold for all and.
Let (Re_{0}) and (Re_{1}) be as defined in (2.6) and (2.7), the following statements hold for system (4.1).
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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