| Some definitions of interest. |
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hall | Def all == p:'a  .  x:'a. (p(x)) |
| | Thm* 'a:S. all (('a  hbool)  hbool) |
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assert | Def b == if b True else False fi |
| | Thm* b: . b Prop |
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hand | Def and == p: . q: . p q |
| | Thm* and (hbool  hbool  hbool) |
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hcons | Def cons == x:'a. l:'a List. cons(x; l) |
| | Thm* 'a:S. cons ('a  hlist('a)  hlist('a)) |
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hlist | Def hlist('a) == 'a List |
| | Thm* 'a:S. hlist('a) S |
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hnil | Def nil == nil |
| | Thm* 'a:S. nil hlist('a) |
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hnot | Def not == p: .  p |
| | Thm* not (hbool  hbool) |
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hnull | Def null == l:'a List. null(l) |
| | Thm* 'a:S. null (hlist('a)  hbool) |
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stype | Def S == {T:Type| x:T. True } |
| | Thm* S Type{2} |
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tlambda | Def ( x:T. b(x))(x) == b(x) |