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The phrase "a demonstrated case of" is correct and usable in written English.
It can be used when referring to a specific instance or example that has been proven or shown to exist.
Example: "The study provided a demonstrated case of the effectiveness of the new treatment in reducing symptoms."
Alternatives: "an established instance of" or "a proven example of".
Exact(1)
The inclusion of a food additive in the Community list is considered by the Commission on the basis of the opinion on its safety from EFSA and a demonstrated case of need.
Similar(58)
"It's a nicely demonstrated case," says ecologist Nico Blüthgen of the Technische Universität Darmstadt in Germany.
These novel and known transcripts form new cases of mutually overlapped transcripts as illustrated in Figure 1. Figure 5(a) demonstrates two cases of such novel antisense genes.
The aim of this report was to demonstrate a case of Coats disease in a patient with concurrent anisometropic amblyopia.
The applicability to a case study is demonstrated; the case of completely new system configuration for Austria is considered.
To summarize, we demonstrated the case of a combat patient with severe penetrating wounds after MLRS shelling from the hybrid war in East Ukraine.
The success of the recent cash for clunkers program this past summer demonstrated a clear case of consumers' desire for affordable, fuel efficient vehicles.
De Melo et al. [ 22] demonstrated a similar case of complete fibroid necrosis after limited MR-HIFU treatment, resulting in 98% volume decrease 12 months after treatment.
The concept is demonstrated by a case of designing software for a potato fryer.
The effectiveness of the DSS and decision-making models is demonstrated by a case of finished vehicle logistics (FVL).
They also described steps for creating a cell-based model and demonstrated a case study of a bridge re-decking process.
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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