deem vs prove

deem

verb
  • To hold in belief or estimation; to adjudge as a conclusion; to regard as being; to evaluate according to one's beliefs; to account. 

  • To think, judge, or have or hold as an opinion; to decide or believe on consideration; to suppose. 

noun
  • An opinion, a judgment, a surmise. 

prove

verb
  • To ascertain or establish the genuineness or validity of; to verify. 

  • To demonstrate that something is true or viable; to give proof for. 

  • To put to the test, to make trial of. 

  • To determine by experiment which effects a substance causes when ingested. 

  • simple past tense of proove 

  • To turn out; to manifest. 

  • To turn out to be. 

noun
  • The process of dough proofing. 

How often have the words deem and prove occurred in a corpus of books? (source: Google Ngram Viewer )