Keep Coding

I am trying to find a way to do operations based on whether there exists a node which has two children with special attributes. So given this data:
<A>
<B attribute1="X"/>
<B attribute2="Y"/>
</A>
<A>
<B/>
</A>
I only want to get true if there exists an element A which has one element B with attribute1="X" and one element B with attribute2="Y", like in the data example.
So my start was
<xsl:if test="(boolean(//A/B[#attribute1='X'] and B[#attribute2='Y'))">
This does not work, and the best I could do so far is to evaluate if there is one Node A1 with a child that has attribute1 = X and one Node A2 with a child that has attribute2 = Y, but A1 and A2 can be different Nodes.

'boolean(//A[B[#attribute1="X"] and B[#attribute2="Y"]])'