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Some definitions of interest.
array
Def
array(T) == n:
n
T
Thm*
T:Type. array(T)
Type
array-update
Def
a[i:=v] == < |a|,
j.if j=
i
v else a[j] fi >
array-length
Def
|a| == 1of(a)
array-select
Def
a[i] == 2of(a)(i)
eq_int
Def
i=
j == if i=j
true
; false
fi
Thm*
i,j:
. (i=
j)
int_seg
Def
{i..j
} == {k:
| i
k < j }
Thm*
m,n:
. {m..n
}
Type
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