on oath Idiom, Proverb
	take oath
say that something is true, give my word of honor He took an oath that he is the child's father. I believe him.
take oath|oath|take
v. phr. To promise to tell the truth or to do some task honestly, calling on God or some person or thing as a witness. 
Mary took her oath that she did not steal the watch. John took oath that he would fill the office of president faithfully.
loath
loath nothing loath not reluctant(ly); willing(ly)
oath
oath 1.   
take oath   to promise or declare by making an oath; swear solemnly
 2.   
under oath   bound or obligated by having made a formal oath, as in a court of law
on oath
Bound by a academic affiance to acquaint the complete and honest accuracy about an accident while on the attestant angle in a trial. You are on adjuration as a attestant in this trial, so you charge acknowledgment my questions absolutely truthfully! Consider your acknowledgment carefully—you're still on oath.Learn more: oath, onon/under ˈoath
 (law) accepting fabricated a academic affiance to acquaint the accuracy in a cloister of law: Is she able to accord affirmation on oath? ♢ The adjudicator reminded the attestant that he was still beneath oath.Learn more: oath, on