| | Some definitions of interest. |
|
| b_exists_unique | Def b_exists_unique('a;x.p(x))
Def == ( x:'a. p(x)) ( x,y:'a. (p(x) p(y))  (x = y)) |
| | | Thm* 'a:Type, p:('a  ). b_exists_unique('a;x.p(x))  |
|
| ball | Def  x:T. P(x) ==  ( x:T. P(x)) |
| | | Thm* T:Type, P:(T  ). ( x:T. P(x))  |
|
| bexists | Def  x:T. P(x) ==  ( x:T. P(x)) |
| | | Thm* T:Type, P:(T  ). ( x:T. P(x))  |
|
| assert | Def b == if b True else False fi |
| | | Thm* b: . b Prop |
|
| band | Def p q == if p q else false fi |
| | | Thm* p,q: . (p q)  |
|
| bequal | Def x = y ==  (x = y T) |
| | | Thm* T:Type, x,y:T. (x = y)  |
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| 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) |