| Some definitions of interest. |
|
assert | Def b == if b True else False fi |
| | Thm* b: . b Prop |
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eq_rat | Def a =q b == a.num b.den= b.num a.den |
| | Thm* x,y: . x =q y ![](FONT/bool.png) |
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eq_int | Def i= j == if i=j true ; false fi |
| | Thm* i,j: . (i= j) ![](FONT/bool.png) |
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iff | Def P ![](FONT/if_big.png) Q == (P ![](FONT/eq.png) Q) & (P ![](FONT/if_big.png) Q) |
| | Thm* A,B:Prop. (A ![](FONT/if_big.png) B) Prop |
|
qmul | Def a *q b == (a.num b.num)/(a.den b.den) |
| | Thm* p,q: . p *q q ![](FONT/rat.png) |
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qdenom | Def q.den == 2of(q) |
| | Thm* q: . q.den ![](FONT/nat.png) ![](FONT/plus.png) |
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qnumer | Def q.num == 1of(q) |
| | Thm* q: . q.num ![](FONT/int.png) |
|
rat | Def == ![](FONT/int.png) ![](FONT/x_big.png) ![](FONT/nat.png) ![](FONT/plus.png) |
| | Thm* Type |