| | Some definitions of interest. |
|
| hall | Def all ==  p:'a   .   x:'a. (p(x)) |
| | | Thm* 'a:S. all  (('a hbool) hbool) |
|
| hexists | Def exists == p:'a.  x:'a. (p(x)) |
| | | Thm* 'a:S. exists (('a hbool) hbool) |
|
| assert | Def  b == if b True else False fi |
| | | Thm* b:. b Prop |
|
| hand | Def and == p:. q:. p  q |
| | | Thm* and (hbool hbool hbool) |
|
| hbool | Def hbool == |
| | | Thm* hbool S |
|
| 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) |
|
| hlength | Def length == l:'a List. ||l|| |
| | | Thm* 'a:S. length (hlist('a) hnum) |
|
| hlist | Def hlist('a) == 'a List |
| | | Thm* 'a:S. hlist('a) S |
|
| hnum | Def hnum ==  |
| | | Thm* hnum S |
|
| hsuc | Def suc == n:. n+1 |
| | | Thm* suc (hnum hnum) |
|
| stype | Def S == {T:Type| x:T. True } |
| | | Thm* S Type{2} |
|
| tlambda | Def (x:T. b(x))(x) == b(x) |
