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assumption  n 
a  (supposition)  supposizione  f , ipotesi  f inv  
on the assumption that  partendo dal presupposto che 
to work on the assumption that  partire dal presupposto che 
b the Assumption   (Rel) l'Assunzione  f  

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"Collins Italian Dictionary 2nd Edition 2005 © HarperCollins Publishers 2005"