| Symbol | Specification | Kind | Type |
|---|---|---|---|
| . + . | 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 |
| . .leb | lebref | pf | lebref → nat with λ lref. lref ≠ none |
| . .leb:= . | lebref | pf | lebref × nat → lebref with λ lref, m. lref ≠ none |
| . .vol | lebref | pf | lebref → volid with λ lref. lref ≠ none |
| . .vol:= . | lebref | pf | lebref × volid → lebref with λ lref, v. lref ≠ none |
| . < . | nat-basic | p | nat × nat |
| . > . | nat | p | nat × nat |
| . × . | lebref | f | volid × nat → lebref |
| . ≤ . | nat | p | nat × nat |
| . ≥ . | nat | p | nat × nat |
| lebref | lebref | s | |
| lref | lebref | v | lebref |
| m | nat-basic | v | nat |
| m0 | lebref | v | nat |
| n | nat-basic | v | nat |
| n0 | nat-basic | v | nat |
| n1 | nat-basic | v | nat |
| nat | nat-basic | s | |
| none | lebref | c | lebref |
| v | volid | v | volid |
| v0 | volid | v | volid |
| v1 | volid | v | volid |
| v2 | volid | v | volid |
| volid | volid | s |