CSL Intersection CFL is CSL only.
Example.
cfl ={anbncm | n,m>= 1}
{ abc,aabbc,aabbcccc, aaabbbc, aabbcc, ...}
Csl= {anbncn | n>=1}
{abc,aabbcc,aaabbbccc,...}
cfl intersection csl:
{abc,aabbcc,aaabbbccc,aaaabbbbcccc,...}
wiz. A csl
Therefore
CFL intersection CSL= CSL