Fiorentina loanee Pedro put the visitors ahead in just the second minute by pouncing on an errant pass and sliding home from close range.
"This is not the way I'd imagined taking the yellow jersey," Yates said, "If I'm honest, no one wants to take the jersey like this."
"I was really focused each game and each point. Especially against top players, one point can make the difference. So I had to stay very calm and keep going," the world number 50 added.
World number one Djokovic struck 51 winners to notch up the win against Edmund, extending his unbeaten run this year to 25 matches.
There were also second round wins for fourth seed Stefanos Tsitsipas of Greece, fifth seed Alexander Zverev of Germany and seventh seed David Goffin of Belgium.
Members of the US women's team filed a lawsuit against their federation in March because of alleged discrimination over wages. A federal judge ruled against the players, who have since lodged an appeal.
"There have been other instances where we have tried to go but the club won't allow it, or they've done something. I want to play football, I am still motivated to play football, so I guess it's on the club. They are in control of everything. I have a contract, all I can do is carry on what I am doing and hopefully something comes up," said Bale. Enditem
American rider Quinn Simmons took silver and bronze went to Damien Howson from Australia. Enditem
The hosts added their third goal when Daniel Sampaio latched onto Marco Antonio's pass to slot home in stoppage time.
BUDAPEST, Sept. 2 (Xinhua) -- Hungary's Attila Valter won the Tour de Hongrie cycling race on Wednesday, beating American and Australian rivals.
He doubled Flamengo's lead with a low shot that rebounded in off the post before Rodriguinho pegged a goal back for the hosts.