To stand out bravely against; to face up to courageously.(verb)
To surpass or outrival.(verb)
To be more brave than.(verb)
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Use "outbrave" in a sentence
"For some time she endeavoured to outbrave me; neither the fiddler nor she desisted; but at last she gave over, and the musician laid aside his instrument. . ."
"But Jed was bound to outbrave me, and I was equally bound to outbrave him."
"What a deal of money did Henry VIII. and Francis I. king of France, spend at that  famous interview? and how many vain courtiers, seeking each to outbrave other, spent themselves, their livelihood and fortunes, and died beggars?"