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The phrase "a small proof of" is correct and usable in written English.
It can be used when referring to a minor or limited piece of evidence or demonstration supporting a claim or idea.
Example: "The study provided a small proof of the effectiveness of the new treatment."
Alternatives: "a minor indication of" or "a slight demonstration of".
Exact(4)
Margolis stresses that this is just a small "proof of concept" study.
A prototype of the platform has been developed and tested between NEES Purdue Universityy, in the US), the University of Oxford (in UK) and EUCENTRE (in Italy), and a small proof of concept has enabled integrated experimental data from Oxford and EUCENTRE through the NEES cyberenvironment.
Similar effects were observed in a small proof of concept study in patients with acute decompensated heart failure [ 56].
A small proof of concept study of a single dose of the HDACi, vorinostat in HIV-infected patients on suppressive cART resulted in an increase in both histone acetylation and cell-associated HIV RNA in resting memory CD4+ T cells.
Similar(56)
Then he found a small proof-of-concept study online about the impact of psilocybin the active, psychedelic ingredient in magic mushrooms on OCD, and was inspired to embark on his own journey of self-experimentation.
Recently, a small proof-of-concept study assessed the multiplex assay using DBS samples from QFT-TB stimulated blood [ 32].
Here we present a small proof-of-concept study, designed to explore the efficacy of the FUSION regimen.
A small proof-of-concept trial reported the clinical benefit and relative safety of low-dose once weekly oral methotrexate for treatment of canine AD [ 55 ].
A small proof-of-concept randomised controlled trial found that tenofovir (a nucleotide reverse transcriptase inhibitor) significantly reduces the risk of HIV acquisition (889 women: RR 0.63, 95% CI 0.43 to 0.93).
In a small proof-of-concept study published in the present issue of Critical Care, Deane and colleagues report on a novel therapeutic agent to treat hyperglycemia in critically ill patients [ 1].
13 A small proof-of-principle study (nine patients) showed that LAMP could detect DNA levels as low as 14 copies/µL compared with 3 copies/µL for real-time PCR).
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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