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The phrase "we first provided" is correct and usable in written English.
It can be used when introducing the initial offering or delivery of something in a sequence of events or actions.
Example: "In our previous report, we first provided an overview of the project's objectives."
Alternatives: "we initially offered" or "we first supplied".
Exact(14)
In this study, we first provided a quantitative assessment of the TRMM Multisatellite Precipitation Analysis TMPAA) products (3B42V6) against the gauge rainfall from 1998 to 2008.
Specifically, we first provided a brief review of the historical development of ECE in China to contextualize our inquiry, then offered our critical analysis of the current development since 2010, from which we assess the challenges facing ECE reform in China.
In this study, we first provided a new behavioral investigation of the dynamic component of trigeminal mechanical allodynia that developed in rats after segmental removal of glycine inhibition.
We first provided a new set of gene markers for the three tissue layers of swimbladder in zebrafish and demonstrated the expression of several key genes of Wnt signaling pathway in developing swimbladder.
We first provided pharmacological and electrophysiological evidence that this reflex is organized without action potentials along the autonomic nerve fibres by an unconventional mechanism of excitation which remains unexplained [1].
With respect to female reproduction, we first provided evidence in mice for the presence of CB1 in preimplantation embryos [11], [12] and of anandamide in the oviduct and uterus [12] [15], suggesting that endocannabinoid signaling is operative during early pregnancy.
Similar(46)
We first provide the following lemma.
We first provide an analytical assessment of bending creep behavior.
To prove Theorem 3.1, we first provide the following lemma.
To proceed, we first provide the following lemma.
Towards that, we first provide the following proposition.
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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