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undermine

[ˌʌndərˈmaɪn]

v. erode the base or foundation; lessen the effectiveness, power, or ability of something

Termites silently eating a house's wooden foundations

Constant criticism can undermine a child's confidence.

"Sabotage" by Beastie Boys

To sabotage is to undermine and weaken something from within.

mine v. n. Conservatives often lament the role Hollywood plays in undermining morality.