| Who Cites hevery? |
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hevery | Def every == p:'a  . l:'a List. every(p;l) |
| | Thm* 'a:S. every (('a  hbool)  hlist('a)  hbool) |
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every | Def every(p;l) == if null(l) then true else (p(head(l))) every(p;tl(l)) fi
Def (recursive) |
| | Thm* 'a:Type, p:('a  ), l:'a List. every(p;l)  |
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tlambda | Def ( x:T. b(x))(x) == b(x) |
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tl | Def tl(l) == Case of l; nil nil ; h.t t |
| | Thm* A:Type, l:A List. tl(l) A List |
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head | Def head(l) == hd(l) |
| | Thm* 'a:Type, l:'a List. mt(l)  head(l) 'a |
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band | Def p q == if p q else false fi |
| | Thm* p,q: . (p q)  |
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null | Def null(as) == Case of as; nil true ; a.as' false |
| | Thm* T:Type, as:T List. null(as)  |
| | Thm* null(nil)  |
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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 |
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hd | Def hd(l) == Case of l; nil "?" ; h.t h |
| | Thm* A:Type, l:A List. ||l|| 1  hd(l) A |