two passed pawn v two protected passed pawns

Here is another neat study for someone to solve if they are interested. Its a win for white.

In this position six things are important. First: the white pawns can't promote without help of the white king. Second: the white king can advance to f4 without leaving the square of the passed pawn c4. Third: the black king has to guard the connected passed pawns. He has to stop them from advancing, so he is stuck on the kingside. Fourth: the black king isn't able to capture the defending passed pawn, because the other passed pawn would then be unstoppable. Fifth: the white king may step out of the square if he can help his pawns promote before the black pawn does. Sixth, and this is the thing you have to know already (or to calculate for yourself during a real game): if the white pawn queens, the black king can be mated. Armed with this knowledge, you'll be able to come up with a plan.  Good luck

Good pawn ending but didn't you already give us the lesson and the plan?

I may have posted the diagram elsewhere but I cannot recall giving anyone any hints.  Its possible but I cannot remember doing so. Its just for anyone that would like to try to solve it and this seems the appropriate place to post it.  This is the endgame study forum, right  Where people post endgame studies that they like?

I meant to say that the text accompanying the puzzle pratically gave away the solution. It might be better to restrict it to the analysis column where you put it as well. Leaves a lesson to learn for the solver by his own effort.

I don't think so, they were only clues, one still had to solve the position.   It might be better to put it in puzzle mode though so that people can try it.  Its a great pity that the site where I learned this puzzle is no longer there.