| Some definitions of interest. |
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assert | Def b == if b True else False fi |
| | Thm* b: . b Prop |
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compose | Def (f o g)(x) == f(g(x)) |
| | Thm* A,B,C:Type, f:(B C), g:(A B). f o g A C |
| | Thm* A,B,C:Type, f:(B inj C), g:(A inj B). f o g A inj C |
| | Thm* f:(B onto C), g:(A onto B). f o g A onto C |
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iff | Def P  Q == (P  Q) & (P  Q) |
| | Thm* A,B:Prop. (A  B) Prop |
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int_seg | Def {i..j } == {k: | i k < j } |
| | Thm* m,n: . {m..n } Type |
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is_discrete | Def A Discrete == x,y:A. Dec(x = y) |
| | Thm* A:Type. (A Discrete) Prop |
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nat | Def == {i: | 0 i } |
| | Thm* Type |
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surjection_type | Def A onto B == {f:(A B)| Surj(A; B; f) } |
| | Thm* A,B:Type. A onto B Type |
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surject | Def Surj(A; B; f) == b:B. a:A. f(a) = b |
| | Thm* A,B:Type, f:(A B). Surj(A; B; f) Prop |