| | Some definitions of interest. |
|
| band | Def p q == if p q else false fi |
| | | Thm* p,q: . (p q)  |
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| bequal | Def x = y ==  (x = y T) |
| | | Thm* T:Type, x,y:T. (x = y)  |
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| hbool | Def hbool ==  |
| | | Thm* hbool S |
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| hfun | Def 'a  'b == 'a 'b |
| | | Thm* 'a,'b:S. ('a  'b) S |
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| hprod | Def hprod('a; 'b) == 'a 'b |
| | | Thm* 'a,'b:S. hprod('a; 'b) S |
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| pi1 | Def 1of(t) == t.1 |
| | | Thm* A:Type, B:(A Type), p:(a:A B(a)). 1of(p) A |
|
| pi2 | Def 2of(t) == t.2 |
| | | Thm* A:Type, B:(A Type), p:(a:A B(a)). 2of(p) B(1of(p)) |
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| stype | Def S == {T:Type| x:T. True } |
| | | Thm* S Type{2} |
|
| tlambda | Def ( x:T. b(x))(x) == b(x) |