An uncomfortable event wherein a bro who is in possession of significant religious beliefs commences to incant a prayer (I.E. saying grace at the table, or offering succor to another bro in the hospital after a terrible monster truck accident) in the presence of one or more overwhelmingly non-religious bros. Regardless of belief systems of those present, it is inappropriate for true bros to interrupt a bro giving an inbrocation, unless a hot chick in a bikini walks by, or a bro opening a craft beer needs to ask the location a bottle opener.
"Went to Andy's place for Thanksgiving. Dude gave a SICK inbrocation. Uncomfortable, truly. His mom is smokin', though."