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Discover LudwigThe phrase "we first introduce" is grammatically correct and commonly used in written English.
It is often used to signal the beginning of a sequence or list of items or ideas that will be discussed. Example: "In this paper, we will first introduce the main theories of psychology before examining their practical applications in real-life settings."
Exact(60)
We first introduce some notions related to manifold geometry that are required to develop our methodology.
We first introduce some lemmas.
We first introduce two lemmas.
We first introduce Distance function.
We first introduce some assumptions.
We first introduce some inequalities.
We first introduce some notations.
We first introduce some marks.
We first introduce some definitions.
We first introduce a parallel superimposed algorithm.
We first introduce some classical notations.
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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