Originally Posted by Phobetor
click to show Proving that it must be the solution doesn't show that it is indeed the solution.
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Wrong! you didn't understand (or read) anything of what i was saying before.

I will not repeat since i was very clear.
At least can you answer me the question:
You don't accept as true of what the author says about "there is a mate in 2 in this position for white".
Why is that?
He said that clearly: "THERE IS A MATE IN 2 FOR WHITE IN THIS POSITION!"
So the problem is easier than you think it is.
IF he didn't give the HINT,
THEN you would be right that we COULD NOT USE the statement that white has a mate in 2 as true.
BUT he gave the HINT! He added a new parameter to the problem. That makes the whole problem different.
I repeat:
If he
gave a position and
asked us to find if there is a mate in 2 then you would be right that we could NOT use my first proof.
But
he gave a position, said
THERE is a mate in 2 and
asked us to find this mate in 2.
The first one should have us to prove that black can't castle with the way i shown in my 2nd proof.
BUT the second case which is the problem we investigate, you can solve it with the way i said also.
I hope you understand now.....