----- SUMMARY FOR THEOREM DK-FIN IN DIRECTORY Q:\dedekind ----- % DK-FIN.IN 2000 June 2 % Finite sets are Dedekind finite. formula_list(sos). % negation of Corollary DK-FIN -subclass(FINITE,DEDEKIND). end_of_list. ----- Otter 3.0.4, August 1995 ----- The job was started by ??? on ???, Fri Jun 02 21:31:20 2000 Length of proof is 1. Level of proof is 1. ---------------- PROOF ---------------- 3214 [] -member(0,x) | -subclass(image(K,x),x) | subclass(FINITE,x). 3284 [] subclass(image(K,DEDEKIND),DEDEKIND). 3287 [] member(0,DEDEKIND). 3288 [] -subclass(FINITE,DEDEKIND). 4345 [ur,3288,3214,3284] -member(0,DEDEKIND). 4346 [binary,4345.1,3287.1] $F. ------------ end of proof ------------- clauses generated 1 Kbytes malloced 2969 user CPU time 2.42 seconds