Webster's English Dictionary

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undermine

Cross references:
  1. weaken                
 
un.der.mine \.*n-d*r-'mi-n\ vt 1: to excavate the earth beneath : from a 
   mine under : SAP  2: to wash away supporting material from under  3: to 
   subvert or weaken insidiously or secretly  4: to weaken or ruin by degrees