| | Some definitions of interest. |
|
| eval_factorization | Def   {a..b }(f) == i:{a..b}. if(i) |
| | | Thm*  a,b: , f:({a..b}  ). {a..b}(f)  |
|
| 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 |
|
| int_seg | Def {i..j} == {k:| i  k < j } |
| | | Thm* m,n:. {m..n} Type |
|
| int_upper | Def {i...} == {j:| ij } |
| | | Thm* n:. {n...} Type |
|
| lelt | Def i j < k == ij & j<k |
|
| nat | Def == {i:| 0i } |
| | | Thm* Type |
|
| le | Def AB ==  B<A |
| | | Thm* i,j:. (ij) Prop |
|
| prime | Def prime(a) == a = 0 & (a ~ 1) & (b,c:. a | b c a | b  a | c) |
| | | Thm* a:. prime(a) Prop |
