An illocutionary conditional is a complex illocutionary act that consists of
(English)
If Carter is the next Democratic candidate, I bet you five dollars that the Republicans will win.
The illocutionary act of betting is performed only if the condition, that Carter is the next Democratic candidate, is true.
Searle, John, and Daniel Vanderveken. 1985.Foundations of illocutionary logic. Cambridge, England: Cambridge University.