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Discover Ludwig"we first give" is a perfectly acceptable phrase in written English.
It can be used when describing the order of events in a story or when prompting someone to take action first. For example, "We first give thanks to the hosts before we enjoy the festivities."
Exact(60)
We first give two definitions.
We first give a lemma.
We first give some definitions.
We first give some notation.
We first give exact solutions.
We first give a generalized Wirtinger's inequality.
For convenience, we first give some lemmas.
We first give proof for (30).
We first give the following theorem.
Proof We first give some denotations.
We first give some preliminary results.
More suggestions(4)
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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