| | Some definitions of interest. |
|
| hselect | Def select ==  p:'a   . @ x:'a. (p(x)) |
| | | Thm*  'a:S. select  (('a hbool) 'a) |
|
| bchoose | Def @x:'a. p(x) == @x:'a.  p(x) |
| | | Thm* 'a:S, p:('a). (@x:'a. p(x)) 'a |
|
| assert | Def b == if b True else False fi |
| | | Thm* b:. b Prop |
|
| habs_list | Def abs_list == r:( 'a) . @a:'a List. (r = rep_list('a;a)) |
| | | Thm* 'a:S. abs_list (hprod((hnum 'a); hnum) hlist('a)) |
|
| hequal | Def equal == x:'a. y:'a. x = y |
| | | Thm* 'a:S. equal ('a 'a hbool) |
|
| hfun | Def 'a 'b == 'a'b |
| | | Thm* 'a,'b:S. ('a 'b) S |
|
| 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 |
|
| hpair | Def pair == x:'a. y:'b. <x,y> |
| | | Thm* 'a,'b:S. pair ('a 'b hprod('a; 'b)) |
|
| ht | Def t == true |
| | | Thm* t hbool |
|
| label | Def t ...$L == t |
|
| stype | Def S == {T:Type|  x:T. True } |
| | | Thm* S Type{2} |
|
| tlambda | Def (x:T. b(x))(x) == b(x) |
