| | Some definitions of interest. |
|
| band | Def p q == if p q else false fi |
| | | Thm* p,q: . (p q)  |
|
| bchoose | Def @ x:'a. p(x) == @x:'a. p(x) |
| | | Thm* 'a:S, p:('a  ). (@ x:'a. p(x)) 'a |
|
| bequal | Def x = y ==  (x = y T) |
| | | Thm* T:Type, x,y:T. (x = y)  |
|
| bif | Def bif(b; bx.x(bx); by.y(by)) == if b x(*) else y( x.x) fi |
| | | Thm* A:Type, b: , x:(b A), y:(( b) A). bif(b; bx.x(bx); by.y(by)) A |
|
| bimplies | Def p  q ==  p  q |
| | | Thm* p,q: . p  q  |
|
| stype | Def S == {T:Type| x:T. True } |
| | | Thm* S Type{2} |
|
| tlambda | Def ( x:T. b(x))(x) == b(x) |