| | 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 |
|
| prime_nats | Def Prime == {x:| prime(x) } |
|
| nat | Def == {i:| 0i } |
| | | Thm* Type |
|
| prime_mset_complete | Def prime_mset_complete(f)(x) == if is_prime(x) f(x) else 0 fi |
| | | Thm* f:(Prime). prime_mset_complete(f) |
