The accomplishment of the Rebbe Rashab in founding the Yeshiva Tomchei Temimim is explained in the well-known discourse "All Who Go Out to the Wars of House of David." The students of the Yeshiva Tomchei Temimim are the "soldiers of the House of David" who fight the wars of the House of David against those "who revile the footsteps of your anointed."
In the words of the Rambam in his Laws of Kings and their Wars and the King Moshiach:
"He [Moshiach] will fight the wars of G-d" until he is "victorious."
[That Moshiach will be victorious] is also indicated by what follows after "who revile the footsteps of your anointed," in the words "Blessed is the L-rd forever Amen and Amen."
For "Amen" (and all the more so when Amen is repeated) testifies to victory in war, through which the coming and revelation of Dovid, Melech HaMoshiach will be accomplished in actual reality. Our generation, the third generation from the Rebbe Rashab and his students, the soldiers of the House of David, will be witnesses to the conclusion and completion of their Divine service to bring the BESURAS HAGEULO.
The Announcement Of The Redemption
1. [The founder of the Yeshiva Tomchei Temimim was the Rebbe Rashab, father of the Previous Rebbe and the fifth Lubavitcher Rebbe. Translator's note.]
2. The discourse of Simchas Torah 5661 - Likkutei Dibburim vol. 4, 787b and following. Sefer HaSichos 5702 end of p. 141 and following.
3. Tehillim 89:52. [The word for "anointed" in Hebrew is "Moshiach." Thus this verse is seen as a reference to the king Moshiach, descendent of King David, who will bring Redemption. Translator's note.]
4. End of chapter 11.
5. [Clearly Moshiach will not fight the wars all by himself. Rather, as the king, he will direct his soldiers, the students of the Yeshiva Tomchei Temimim, in battle. This is the connection between the passage from the Rambam and the directive given at the founding of the yeshiva. Translator's note.]
6. Ibid, 53.
7. See Nazir at the end. See there for cross references.