source: [lemma=prove] □
destination: [lemma=prove] □ □
spec: If he complied with Mr Haredale 's last injunction now , it was because he had not the power to speak or move . Let 's prove by induction that after the ith pass , the items are correctly sorted according to the least i digits . Click 45006h1991.txt to view and download the text file . I am not quite sure how I would use the theorems proved by resolution provers unless they were translated into some foundational language . It is a classical result of Gentzen that the consistency of PA ( Peano arithmetic , or formal number theory ) can be proved by transfinite induction on ordinals below eps [ 0 ] . Klamath Falls completed a needs assessment and draft business plan . Time passed , and Steven grew older . It can be proved by induction e.g ., or by using the fact that they are 0-dimensional separable metric spaces in the order topology , and the Cantor set ( which is also an ordered space ) is universal for those . Below , we discuss why and also address additional arguments raised in the Motion . Because , as proven by Turing , you can do anything in any language .