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Some definitions of interest.
no_repeats Def no_repeats(T;l) == i,j:. i < ||l|| j < ||l|| i = j l[i] = l[j] T
Thm* T:Type, l:T List. no_repeats(T;l) Prop
nat Def == {i:| 0i }
Thm* Type
upto Def upto(i;j) == if i < j [i / upto(i+1;j)] else nil fi (recursive)
Thm* i,j:. upto(i;j) {i..j} List

About:
listconsnilifthenelseintnatural_numberaddless_thanset
recursive_def_noticeuniverseequalmemberpropimpliesall!abstraction

Definitions graph 1 1 Sections Graphs Doc