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Some definitions of interest.
increasing Def increasing(f;k) == i:(k-1). f(i) < f(i+1)
Thm* k:, f:(k). increasing(f;k) Prop
int_seg Def {i..j} == {k:| i k < j }
Thm* m,n:. {m..n} Type
nat Def == {i:| 0i }
Thm* Type

About:
intnatural_numberaddsubtractless_thansetapply
functionuniversememberpropall
!abstraction

Definitions graph 1 1 Sections Graphs Doc