| Symbol | Specification | Kind | Type |
|---|---|---|---|
| # . | set-basic | f | set → nat |
| . + . | nat-basic | f | nat × nat → nat |
| . ++ . | set-basic | f | set × elem → set |
| . +1 | nat-basic | f | nat → nat |
| . - . | nat | pf | nat × nat → nat with λ n, m. n ≥ m |
| . -1 | nat-basic | pf | nat → nat with λ n. n ≠ 0 |
| . < . | nat-basic | p | nat × nat |
| . > . | nat | p | nat × nat |
| . ∈ . | set-basic | p | elem × set |
| . ≤ . | nat | p | nat × nat |
| . ≥ . | nat | p | nat × nat |
| . ⊆ . | set-basic | p | set × set |
| ∅ | set-basic | c | set |
| elem | elem | s | |
| nat | nat-basic | s | |
| s | set-basic | v | set |
| set | set-basic | s |