Gwyneth Paltrow gives a career performance in the powerful character drama Proof. In the wake of her father’s death after a prolonged struggle with Alzheimer’s disease Catherine starts to question her own sanity, which gets exacerbated when her father’s former grad student discovers a mathematical proof that she claims to have written but looks like her father’s work. Accompanying Paltrow are Anthony Hopkins and Jake Gyllenhaal, who both deliver extraordinary performances. But it’s Paltrow’s outstanding work that carries the film, as she gives a brilliant introspective look into the mind of Catherine as she struggles to find the truth and come to terms with her fears. Yet some credit needs to go to director John Madden, who does an incredible job at drawing the audience into Catherine’s struggle, and keeps the question of her mental illness and the authorship the proof constantly in question. Proof is an exceptionally well-crafted and transcendent film that deals with some provocative and controversial issues.

I thought not much happened in this movie and the characters were a bit overdramatic. Not a bad movie but not great either.

narration just didn’t work imo

It's so funny how I can relate to both women in this movie. I feel like both of them have really real strong acceptable reasons why they are the way they are and why they act the way they act.
I can defend them both individually. When I saw the movie on my own, I had real strong feelings for Catherine, because she's misunderstood and people think she's crazy. When I saw it with my sister, she had the same feelings for Catherine, which made me feel like I had to stand up for Hope Davis' character: she's just trying to live her life and help Catherine the way she thinks it's best.
I do really feel like both of them are perfectly right to do what they do.
Great movie!