| | Who Cites even? |
|
| even | Def even(n) == if n= 0 then true else  even(n-1) fi (recursive) |
| | | Thm* n: . even(n)  |
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| bnot | Def  b == if b false else true fi |
| | | Thm* b: .  b  |
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| eq_int | Def i= j == if i=j true ; false fi |
| | | Thm* i,j: . (i= j)  |
|
| btrue | Def true == inl( ) |
| | | Thm* true  |
|
| 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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| bfalse | Def false == inr( ) |
| | | Thm* false  |
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| ifthenelse | Def if b t else f fi == InjCase(b ; t; f) |
| | | Thm* b: , A:Type, p,q:A. if b p else q fi A |