| Symbol | Specification | Kind | Type |
|---|---|---|---|
| . + . | nat-inf | f | natinf × natinf → natinf |
| . + . | nat-basic | f | nat × nat → nat |
| . +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 |
| . .n | nat-inf | pf | natinf → nat with λ n∞. n∞ ≠ ∞ |
| . < . | nat-inf | p | natinf × natinf |
| . < . | nat-basic | p | nat × nat |
| . > . | nat | p | nat × nat |
| . ≤ . | nat | p | nat × nat |
| . ≥ . | nat | p | nat × nat |
| ∞ | nat-inf | c | natinf |
| ⌜ . ⌝ | nat-inf | f | nat → natinf |
| m | nat-basic | v | nat |
| m0 | nat-inf | v | nat |
| min | nat-inf | f | natinf × natinf → natinf |
| n | nat-basic | v | nat |
| n∞ | nat-inf | v | natinf |
| n∞0 | nat-inf | v | natinf |
| n0 | nat-basic | v | nat |
| n1 | nat-basic | v | nat |
| nat | nat-basic | s | |
| natinf | nat-inf | s |