The phrase "proves resistant to" is correct and usable in written English.
You can use it when something is difficult or cannot be influenced or changed easily. For example, "The government's policies have proved resistant to change, even after decades of public pressure."
When humankind proves resistant to improvement, it is because forces of darkness – wicked priests, demagogic politicians, predatory corporations and the like – are working to thwart the universal struggle for freedom and enlightenment.
If Congress proves resistant to Sanders' appeal, "we will turn the midterm elections in 2018 into the largest referendum in the history of midterms," Devine added.
If the Franco-German axis proves resistant to this idea, then it might be time for the Greeks, Portuguese, Italians, Spanish, Irish, etc., to send a different message to Chancellor Angela Merkel.
The only part of the town that proves resistant to the attack is the headquarters of the Esoteric Order of Dagon, a religious organization devoted to two undersea demigods and Cthulhu that holds the whole town under its grip.
When Gadreel proves resistant to their efforts to expel him, Dean tries to have Castiel possess Sam to let him know of the situation but he can't without Sam's permission.
This cough is typically dry and proves resistant to conventional anti-tussive therapies[ 2].
Berea has proved resistant to regeneration.
But shareholders have proved resistant to the entrepreneur's charms.
So far, he has proved resistant to their efforts.
Early this year, her son Iker had a series of infections that proved resistant to treatment.
One group in society appears to be proving resistant to this positive influence, however.
