| | Some definitions of interest. |
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| iff | Def P  Q == (P  Q) & (P  Q) |
| | | Thm* A,B:Prop. (A  B) Prop |
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| inv_pair | Def A B == {fg:((A B) (B A))| fg/f,g. InvFuns(A;B;f;g) } |
| | | Thm* A,B:Type. A B Type |
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| one_one_corr_2 | Def A ~ B == f:(A B), g:(B A). InvFuns(A;B;f;g) |
| | | Thm* A,B:Type. (A ~ B) Prop |
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| inv_funs_2 | Def InvFuns(A;B;f;g) == ( x:A. g(f(x)) = x) & ( y:B. f(g(y)) = y) |
| | | Thm* f:(A B), g:(B A). InvFuns(A;B;f;g) Prop |