| | Some definitions of interest. |
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| comment | Def Kind of comment: $kind == a |
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| is_prime_factorization | Def is_prime_factorization(a; b; f) ==  i:{a..b }. 0<f(i)   prime(i) |
| | | Thm* a,b: , f:({a..b}   ). is_prime_factorization(a; b; f)  Prop |
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| prime | Def prime(a) ==  a = 0 & (a ~ 1) & (b,c:. a | b c a | b  a | c) |
| | | Thm* a:. prime(a) Prop |
|
| divides | Def b | a ==  c:. a = bc |
| | | Thm* a,b:. (a | b) Prop |
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| eval_factorization | Def   {a..b}(f) == i:{a..b}. if(i) |
| | | Thm* a,b:, f:({a..b}). {a..b}(f) |
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| int_seg | Def {i..j} == {k:| i  k < j } |
| | | Thm* m,n:. {m..n} Type |
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| int_upper | Def {i...} == {j:| ij } |
| | | Thm* n:. {n...} Type |
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| nat | Def == {i:| 0i } |
| | | Thm* Type |
