Silman calls the Lucena Position “The Holy Grail of Rook Endings”. In this position Regardless of who’s turn it is to move, White wins.
1.Rf2+ Forcing Black’s King to leave the scene of the battle.
1…Kg7 [1…Kg6 2.Rf4 Kg5 3.Rd4 Kf6 4.Ke8 Re1+ 5.Kf8 Rf1 6.d8Q+ Ke5+ 7.Ke7 ]
2.Rf4 Building a bridge.
2…Kg6 3.Ke7 Only now should White leave the cover of his pawn. Since promotion is threatened Black must go into checking mode.
3…Re1+ 4.Kd6 Rd1+ 5.Ke6 Re1+ 6.Kd5 Rd1+ 7.Rd4 Rxd4+ 8.Kxd4 Kf6 9.d8Q+ 1-0
Thanks for this. Very clearly put.