| | Some definitions of interest. |
|
| hall | Def all ==  p:'a   .   x:'a. (p(x)) |
| | | Thm* 'a:S. all  (('a hbool) hbool) |
|
| assert | Def  b == if b True else False fi |
| | | Thm* b:. b Prop |
|
| hadd | Def add == m: . n:. m+n |
|
| 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)) |
|
| hequal | Def equal == x:'a. y:'a. x = y |
| | | Thm* 'a:S. equal ('a 'a hbool) |
|
| hit_sum | Def it_sum == l: List. it_sum(l) |
| | | Thm* it_sum (hlist(hnum) hnum) |
|
| hlist | Def hlist('a) == 'a List |
| | | Thm* 'a:S. hlist('a) S |
|
| hnil | Def nil == nil |
| | | Thm* 'a:S. nil hlist('a) |
|
| hnum | Def hnum == |
| | | Thm* hnum S |
|
| tlambda | Def (x:T. b(x))(x) == b(x) |
