deter vs pull the rug (out) from under

deter

verb
  • To prevent something from happening. 

  • To persuade someone not to do something; to discourage. 

  • To distract someone from something. 

pull the rug (out) from under

How often have the words deter and pull the rug (out) from under occurred in a corpus of books? (source: Google Ngram Viewer )