| Some definitions of interest. |
|
assert | Def b == if b True else False fi |
| | Thm* b:. b Prop |
|
int_seg | Def {i..j} == {k:| i k < j } |
| | Thm* m,n:. {m..n} Type |
|
least | Def least i:. p(i) == if p(0) 0 else (least i:. p(i+1))+1 fi (recursive) |
| | Thm* k:, p:{p:(k)| i:k. p(i) }. (least i:. p(i)) k |
| | Thm* p:{p:()| i:. p(i) }. (least i:. p(i)) |
|
nat | Def == {i:| 0i } |
| | Thm* Type |
|
not | Def A == A False |
| | Thm* A:Prop. (A) Prop |
|
subtype | Def S T == x:S. x T |