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The phrase 'we first present' is correct and can be used in written English.
You could use it to introduce a topic or idea that you are going to discuss further. For example, "We first present an overview of the historical development of the city."
Exact(60)
We first present some lemmas.
For convenience, we first present some notation.
In this section, we first present an overview of CBTC.
In this paper, we first present the architecture of MMSNs.
To solve (P2), we first present the following lemma.
To prove our results, we first present the following definitions.
In this section, we first present our assumptions.
For this purpose, we first present the calmness property.
In this section, we first present an estimator of parameter.
In this section, we first present a lemma (Lemma 2.1).
For proving our theorem, we first present a lemma.
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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