| Some definitions of interest. |
|
bijection_type | Def A bij B == {f:(AB)| Bij(A; B; f) } |
| | Thm* A,B:Type. A bij B Type |
|
eq_int | Def i=j == if i=j true ; false fi |
| | Thm* i,j:. (i=j) |
|
int_seg | Def {i..j} == {k:| i k < j } |
| | Thm* m,n:. {m..n} Type |
|
inv_pair | Def AB == {fg:((AB)(BA))| fg/f,g. InvFuns(A;B;f;g) } |
| | Thm* A,B:Type. AB Type |
|
least | Def least i:. p(i) == if p(0) 0 else (least i:. p(i+1))+1 fi (recursive) |
| | Thm* k:, p:{p:(k)| i:k. p(i) }. (least i:. p(i)) k |
| | Thm* p:{p:()| i:. p(i) }. (least i:. p(i)) |
|
nat | Def == {i:| 0i } |
| | Thm* Type |