| Some definitions of interest. |
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compose_list | Def compose_list(L) == reduce( p,q. p o q; x.x;L) |
| | Thm* T:Type, L:(T T) List. compose_list(L) T T |
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flip | Def (i, j)(x) == if x= i j ; x= j i else x fi |
| | Thm* k: , i,j: k. (i, j) k  k |
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eq_int | Def i= j == if i=j true ; false fi |
| | Thm* i,j: . (i= j)  |
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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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not | Def A == A  False |
| | Thm* A:Prop. ( A) Prop |