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satisfied 
1  adj If you are satisfied with  something, you are happy because you have got what you wanted or needed. 
usu v-link ADJ, oft ADJ with n 
We are not satisfied with these results., ...satisfied customers.  
2  adj If you are satisfied that something is true or has been done properly, you are convinced about this after checking it. 
v-link ADJ, oft ADJ that 
People must be satisfied that the treatment is safe.  


self-satisfied  
If you describe someone as self-satisfied, you mean that they are too pleased with themselves about their achievements or their situation and they think that nothing better is possible.  adj 
 (disapproval)  
(=smug) 
She handed the cigar back to Jason with a self-satisfied smile.