Q == (P 
Q) & (P Q)
A,B:Prop. (A B) 
Propx:A. g(f(x)) = x) & (y:B. f(g(y)) = y)f:(A
B), g:(BA). InvFuns(A;B;f;g) Propx:A. 
!y:B. R(x;y)) & (y:B. !x:A. R(x;y))A,B:Type, R:(ABProp). (1-1-Corr x:A,y:B. R(x;y)) Prop| Some definitions of interest. | |
| iff | Q == (P Q) & (P Q) |
| A,B:Prop. (A B) Prop | |
| inv_funs_2 | x:A. g(f(x)) = x) & (y:B. f(g(y)) = y) |
| f:(AB), g:(BA). InvFuns(A;B;f;g) Prop | |
| is_one_one_corr_rel | x:A. !y:B. R(x;y)) & (y:B. !x:A. R(x;y)) |
| A,B:Type, R:(ABProp). (1-1-Corr x:A,y:B. R(x;y)) Prop |
About:
 |  |  |  |  |  |  |  |  |  |