carry=wMarked_condadmit.Marked_admitcondsumtruenilvuzyxadmit(x,nil)niladmit(x,.(u,.(v,.(w,z))))cond(=(sum(x,u,v),w),.(u,.(v,.(w,admit(carry(x,u,v),z)))))cond(true,y)yadmit(x,nil)niladmit(x,.(u,.(v,.(w,z))))cond(=(sum(x,u,v),w),.(u,.(v,.(w,admit(carry(x,u,v),z)))))cond(true,y)yMarked_admit(x,.(u,.(v,.(w,z))))Marked_cond(=(sum(x,u,v),w),.(u,.(v,.(w,admit(carry(x,u,v),z)))))Marked_admit(x,.(u,.(v,.(w,z))))Marked_admit(carry(x,u,v),z)admit(x,nil)niladmit(x,.(u,.(v,.(w,z))))cond(=(sum(x,u,v),w),.(u,.(v,.(w,admit(carry(x,u,v),z)))))cond(true,y)yMarked_admit(x,.(u,.(v,.(w,z))))Marked_admit(carry(x,u,v),z)Marked_admit2Marked_admit(x,.(u,.(v,.(w,z))))Marked_admit(carry(x,u,v),z)admit(x,nil)niladmit(x,.(u,.(v,.(w,z))))cond(=(sum(x,u,v),w),.(u,.(v,.(w,admit(carry(x,u,v),z)))))cond(true,y)y