| Some definitions of interest. |
|
assert | Def b == if b True else False fi |
| | Thm* b: . b Prop |
|
eq_rat | Def a =q b == a.num b.den= b.num a.den |
| | Thm* x,y: . x =q y  |
|
eq_int | Def i= j == if i=j true ; false fi |
| | Thm* i,j: . (i= j)  |
|
iff | Def P  Q == (P  Q) & (P  Q) |
| | Thm* A,B:Prop. (A  B) Prop |
|
qadd | Def a +q b == (a.num b.den+b.num a.den)/(a.den b.den) |
| | Thm* p,q: . p +q q  |
|
qmul | Def a *q b == (a.num b.num)/(a.den b.den) |
| | Thm* p,q: . p *q q  |
|
qdenom | Def q.den == 2of(q) |
| | Thm* q: . q.den   |
|
qnumer | Def q.num == 1of(q) |
| | Thm* q: . q.num  |
|
rat | Def ==     |
| | Thm* Type |