Definition of not bat or without batting an eyelid or North American eye or eyelash in English:

not bat (or without batting) an eyelid (or North American eye or eyelash)

informal Show (or showing) no surprise or concern: she paid the bill without batting an eyelid
More example sentences
  • But to my surprise, the kids didn't bat an eyelid.
  • When I say they didn't bat an eyelid, I'm not exaggerating because I was looking at them.
  • MacGyver, err… our driver, didn't bat an eye despite our extensive arm waving.
See parent entry: bat

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Word of the day demoralize
Pronunciation: dəˈmôrəˌlīz
verb
cause (someone) to lose confidence or hope; dispirit