| Some definitions of interest. |
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bijection_type | Def A bij B == {f:(A B)| Bij(A; B; f) } |
| | Thm* A,B:Type. A bij B Type |
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exteq | Def A =ext B == ( x:A. x B) & ( x:B. x A) |
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injection_type | Def A inj B == {f:(A B)| Inj(A; B; f) } |
| | Thm* A,B:Type. A inj B Type |
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int_seg | Def {i..j } == {k: | i k < j } |
| | Thm* m,n: . {m..n } Type |
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nat | Def == {i: | 0 i } |
| | Thm* 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 |