| Some definitions of interest. |
|
eq_int | Def i=j == if i=j true ; false fi |
| | Thm* i,j:. (i=j) |
|
injection_type | Def A inj B == {f:(AB)| Inj(A; B; f) } |
| | Thm* A,B:Type. A inj B Type |
|
int_seg | Def {i..j} == {k:| i k < j } |
| | Thm* m,n:. {m..n} Type |
|
one_one_corr_2 | Def A ~ B == f:(AB), g:(BA). InvFuns(A;B;f;g) |
| | Thm* A,B:Type. (A ~ B) Prop |
|
inv_funs_2 | Def InvFuns(A;B;f;g) == (x:A. g(f(x)) = x) & (y:B. f(g(y)) = y) |
| | Thm* f:(AB), g:(BA). InvFuns(A;B;f;g) Prop |
|
nat_plus | Def == {i:| 0<i } |
| | Thm* Type |
|
not | Def A == A False |
| | Thm* A:Prop. (A) Prop |