"evidence establishing" is grammatically correct and can be used in written English.
It is usually used when discussing proof or support for a claim, idea, or statement. Example: The prosecution presented overwhelming evidence establishing the defendant's guilt in the murder trial.
The government has filed a document with the judge laying out what it says is the evidence establishing Mr. Padilla's connection to Al Qaeda.
Last winter, they stumbled upon evidence establishing the house as the first known slave dwelling in what would become New York City.
The new paper (of which I am an author) reviews the evidence establishing the geological age of these older fossils, and more importantly, suggests that they can be considered part of a new fauna.
The prosecution in the aggravated manslaughter trial of Jayson Williams opened its case Wednesday with testimony and evidence establishing the fatal shooting of a chauffeur, Costas Christofi, in Mr. Williams's master bedroom nearly two years ago.
Perišić was freed immediately by ICTY appeals chamber, which concluded: "Evidence establishing a direct link between the aid provided by an accused individual and the relevant crimes committed by principal perpetrators is necessary".
We are reviewing the information to determine if there is documented evidence establishing any violations of our program and will follow up on any other information that is provided.
It stopped short, however, of saying the evidence "established" a causal relationship.
As the court explains, the medical evidence establishes that the D&E procedure is included in this definition.
"Documentary evidence established that Mrs. Clinton did participate in the drafting of the option agreement," the report said.
Pentagon officials, on the other hand, have maintained that classified evidence establishes that many of them are dangerous.
But today, the Justice Department's report concluded, "The weight of the evidence establishes that Raoul is merely Ray's creation".
