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Synonyms
un·der·mine (ŭńdər-mīń)

transitive verb: -mined, -min·ing, -mines. 

  1. To weaken by wearing away a base or foundation: Water has undermined the stone foundations.
  2. To weaken, injure, or impair, often by degrees or imperceptibly; sap: Late hours can undermine one's health.
  3. To dig a mine or tunnel beneath.