Definition of subject to phrasal verb from the Oxford Advanced American Dictionary

 

subject to

 phrasal verb
phrasal verb
 
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Phrasal Verbs

subject somebody/something to something

[often passive]
 
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to make someone or something experience, suffer, or be affected by something, usually something unpleasant to be subjected to ridicule The city was subjected to heavy bombing. The defense lawyers claimed that the prisoners had been subjected to cruel and degrading treatment.
See the Oxford Advanced Learner's Dictionary entry: subject to