Given a sentence in English language, translate the sentence to Tagalog language keeping the meaning of the original sentence intact.

Let me give you an example: English sentence: Roger Federer was the first player to win 20 Grand Slams
The answer to this example can be: Si Roger Federer ang unang manlalaro na nanalo ng 20 Grand Slams
Here is why: The output is an exact translation of the English sentence to it's Tagalog equivalent and meaning remains the same.

OK. solve this:
English sentence: One is the fact that he gives the Hahn - Banach theorem for the space C[a, b], while he is providing a simpler proof of a theorem which Riesz had published the previous year.
Answer:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
Ang isa ay ang katunayan na siya ay nagbibigay ng Hahn - Banach teorama para sa space C [a, b], habang siya ay nagbibigay ng isang simple na patunay ng isang teorama na Riesz ay nai-publish ang mga nakaraang taon.