| Some definitions of interest. |
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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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iter_via_intseg | Def Iter(f;u) i:{a..b}. e(i)
Def == if a<b f((Iter(f;u) i:{a..b-1}. e(i)),e(b-1)) else u fi
Def (recursive) |
| | Thm* f:(AAA), u:A, a,b:, e:({a..b}A). (Iter(f;u) i:{a..b}. e(i)) A |
|
le | Def AB == B<A |
| | Thm* i,j:. (ij) Prop |
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not | Def A == A False |
| | Thm* A:Prop. (A) Prop |