Given the document below, you have to determine if "Yes" or "No", the summary is factually consistent with the document.

Document:
Twice French Open champion NAME_1 said her struggle to beat NAME_2 Errani in the Fed Cup on Sunday had been a real 'eye-opener' as the claycourt season gets into full swing. World No 1 NAME_3 eventually prevailed 4-6 7-6(3) 6-3 against the dogged Italian to take her career record over her to 8-0 but the American was not impressed. The US were beaten 3-2 as NAME_3 and NAME_4 were thrashed 6-0 6-3 in the doubles rubber by Errani and NAME_5, meaning they were relegated to World Group II. American tennis star NAME_1 fought back to beat Italian NAME_2 Errani in the Fed Cup play-off on Sunday . Tough weather conditions made it difficult for both players who had to keep on re-tossing their serves . Errani gave NAME_3 a real scare but in the end the world No 1's power proved to be too much .

Summary:
1. NAME_1 beat NAME_2 errani 4-6 7-6(3) 6-3 in the fed cup play-off .
2. the world no 1 eventually won the match to take her career record to 8-0 . NAME_3 and NAME_4 were thrashed 6-0 6-3 in the doubles rubber .

Is the summary factually consistent with the document? (Yes/No)
Start your answer explicitly with "Yes" or "No", and if you answer no, explain which sentence is inconsistent and why.
 Write your response with at least 500 words.
user