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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:
| 0
i }
Thm*
Type
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