| Symbol | Specification | Kind | Type |
|---|---|---|---|
| # . | nat-set | f | nat-set → nat |
| . + . | nat-basic | f | nat × nat → nat |
| . ++ . | nat-set | f | nat-set × nat → nat-set |
| . +1 | nat-basic | f | nat → nat |
| . - . | nat | pf | nat × nat → nat with λ n, m. n ≥ m |
| . -- . | nat-set | f | nat-set × nat → nat-set |
| . -1 | nat-basic | pf | nat → nat with λ n. n ≠ 0 |
| . .butmax | nat-set | pf | nat-set → nat-set with λ ns. ns ≠ ∅ |
| . .butmin | nat-set | pf | nat-set → nat-set with λ ns. ns ≠ ∅ |
| . .max | nat-set | pf | nat-set → nat with λ ns. ns ≠ ∅ |
| . .min | nat-set | pf | nat-set → nat with λ ns. ns ≠ ∅ |
| . < . | nat-set | p | nat-set × nat |
| . < . | nat-set | p | nat × nat-set |
| . < . | nat-basic | p | nat × nat |
| . > . | nat | p | nat × nat |
| . \ . | nat-set | f | nat-set × nat-set → nat-set |
| . ∈ . | nat-set | p | nat × nat-set |
| . ∩ . | nat-set | f | nat-set × nat-set → nat-set |
| . ∪ . | nat-set | f | nat-set × nat-set → nat-set |
| . ≤ . | nat | p | nat × nat |
| . ≥ . | nat | p | nat × nat |
| . ⊆ . | nat-set | p | nat-set × nat-set |
| { . } | nat-set | f | nat → nat-set |
| ∅ | nat-set | c | nat-set |
| m | nat-basic | v | nat |
| n | nat-basic | v | nat |
| n0 | nat-basic | v | nat |
| n1 | nat-basic | v | nat |
| n2 | nat-set | v | nat |
| n3 | nat-set | v | nat |
| n4 | nat-set | v | nat |
| nat | nat-basic | s | |
| nat-set | nat-set | s | |
| ns | nat-set | v | nat-set |
| ns0 | nat-set | v | nat-set |
| ns1 | nat-set | v | nat-set |
| ns2 | nat-set | v | nat-set |