Don Cheadle has said starring in the Broadway revival of Proof has deepened his understanding of how grief can leave families struggling to understand one another.

The Hotel Rwanda and Crash star, 61, is currently appearing as Robert in David Auburn's Pulitzer Prize and Tony Award-winning drama at the Booth Theatre in New York, and the Oscar-nominated actor has now reflected on the play's themes ahead of the production's final performances.

Don made the remarks when he joined co-stars Ayo Edebiri, Jin Ha, Adrienne Warren and Project Healthy Minds founder and chief executive Phil Schermer for a post-show discussion attended by People.

Reflecting on the central conflicts in the play, Don said each character believes they are acting from a position of truth.

He said: "One of the fascinations of the play is that everyone from their perspective is right."

The actor continued: "And that there is really no objective truth in this and that people carry their own truths."

In Proof, Don portrays Robert, a once-celebrated mathematician whose battle with mental illness continues to shape the lives of those around him after his death.

His daughter Catherine, played by Ayo, insists she has written a groundbreaking mathematical proof discovered among Robert's papers, while her sister Claire, played by Adrienne, and Robert's former student Hal, portrayed by Jin, question whether her claims can be believed.

Discussing the emotional impact of performing the play each night, Don said it had reinforced how often people fail to truly understand one another.

He added: "It's rare that we step back and really can just see someone and challenge our own sort of preconceptions about what that person is supposed to be and actually see what they are."

He added: "And give people the grace that you hope that you would receive... not be misunderstood, not be unseen, not be overlooked."

Summing up the play's central message, Don said: "People miss each other a lot."

Asked what he hopes audiences will take away from the production after it closes on 19 July, Don said the story ultimately offers a measure of optimism despite its exploration of trauma and loss.

He added: "I do like that it kind of culminates in this grace note."

Don continued: "There does feel like there's some sort of a slight grace note. A bit of breath where it's like, maybe there'll be something that comes out of this that isn't just calamity and trauma on top of trauma."

Don also said: "Sometimes that's kind of the best people can hope for, is the breath to hope that there will be an opportunity to get somewhere."

The Proof revival, directed by Thomas Kail, marks the first Broadway revival of the production since it premiered in 2000.

Alongside his acclaimed stage work, Don remains best known for films including Hotel Rwanda, the Iron Man and Avengers franchises as James 'Rhodey' Rhodes, and the Showtime series House of Lies. He is also expected to reprise Rhodey in future Marvel projects, with Armor Wars remaining in development.

Proof first opened on Broadway in 2000 starring Mary-Louise Parker, Larry Bryggman, Johanna Day and Ben Shenkman, winning both the Pulitzer Prize for Drama and the Tony Award for Best Play.

The current production reunites Don with one of Broadway's most celebrated dramas while continuing a career that has spanned stage, television and film, from his Academy Award-nominated performance in Hotel Rwanda to his long-running role in the Marvel Cinematic Universe.