| | Some definitions of interest. |
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| decidable | Def Dec(P) == P P |
| | | Thm* A:Prop. Dec(A) Prop |
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| fun_over_st | Def x:A st P(x) B(x) == x:{x:A| P(x) } B(x) |
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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 |
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| not | Def A == A  False |
| | | Thm* A:Prop. ( A) Prop |