| Some definitions of interest. |
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decidable | Def Dec(P) == P P |
| | Thm* A:Prop. Dec(A) Prop |
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eq_int | Def i=j == if i=j true ; false fi |
| | Thm* i,j:. (i=j) |
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exists_unique | Def !x:A. P(x) == x:A. x is the x:A. P(x) |
| | Thm* A:Type, P:(AProp). (!x:A. P(x)) Prop |
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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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not | Def A == A False |
| | Thm* A:Prop. (A) Prop |
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one_one_corr_2 | Def A ~ B == f:(AB), g:(BA). InvFuns(A;B;f;g) |
| | Thm* A,B:Type. (A ~ B) Prop |