Did the Grateful Dead play at the original Woodstock concert?

Woodstock Music and Art Fair, commonly referred to as Woodstock, was a music festival held during August 15–18, 1969, on Max Yasgur's dairy farm in Bethel, New York, United States,[3][4] 40 miles (65 km) southwest of the town of Woodstock. Billed as "an Aquarian Exposition: 3 Days of Peace & Music" and alternatively referred to as the Woodstock Rock Festival, it attracted an audience of more than 400,000 attendees.[3][5][6][7] Thirty-two acts performed outdoors despite sporadic rain.[8] It was one of the largest music festivals held in history.

Yes, the Grateful Dead played a 1 hour and 35 minute set on Saturday, August 16 1969, that ended after a fifty-minute version of "Turn On Your Love Light".