Alas, not much call for that in mathematics - the failure section would be two lines: "if I made a math mistake in this paper, my results are wrong. If not, then not."

Actually, the failure section would be: "If my results are wrong, I made a math mistake in this paper. If I made no mistake in this paper, my results are correct."

Indeed! :-) But I was taking "my results" to mean "the claim that I have proved the results of this paper." Mea Culpa - very sloppy use of language.