| | 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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| hbool | Def hbool ==  |
| | | Thm* hbool S |
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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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| hfun | Def 'a  'b == 'a 'b |
| | | Thm* 'a,'b:S. ('a  'b) S |
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| himplies | Def implies == p: . q: . p  q |
| | | Thm* implies (hbool  hbool  hbool) |
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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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| 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) |