| Symbol | Specification | Kind | Type |
|---|---|---|---|
| # . | sparsearray | f | sparsearray → nat |
| # . | sparsearray | f | npset → nat |
| . * . | ring | f | elem × elem → elem |
| . + . | nat-basic | f | nat × nat → nat |
| . + . | ring | f | elem × elem → elem |
| . ++ . | sparsearray | f | npset × natpair → npset |
| . +1 | nat-basic | f | nat → nat |
| . - . | nat | pf | nat × nat → nat with λ n, m. n ≥ m |
| . -- . | sparsearray | f | sparsearray × natpair → sparsearray |
| . -- . | sparsearray | f | npset × natpair → npset |
| . -1 | nat-basic | pf | nat → nat with λ n. n ≠ 0 |
| . .c | natpair | f | natpair → nat |
| . .r | natpair | f | natpair → nat |
| . < . | nat-basic | p | nat × nat |
| . > . | nat | p | nat × nat |
| . [ . ] | sparsearray | f | sparsearray × natpair × elem → sparsearray |
| . [ . ] | sparsearray | pf | sparsearray × natpair → elem with λ st, a. a ∈ st |
| . \ . | sparsearray | f | npset × npset → npset |
| . \ . | sparsearray | f | sparsearray × npset → sparsearray |
| . | . | sparsearray | f | sparsearray × npset → sparsearray |
| . × . | natpair | f | nat × nat → natpair |
| . ∈ . | sparsearray | p | natpair × sparsearray |
| . ∈ . | sparsearray | p | natpair × npset |
| . ∈ . | sparsearray | p | elem × sparsearray |
| . ∩ . | sparsearray | f | npset × npset → npset |
| . ∪ . | sparsearray | f | npset × npset → npset |
| . ≤ . | nat | p | nat × nat |
| . ≥ . | nat | p | nat × nat |
| . ⊆ . | sparsearray | p | sparsearray × sparsearray |
| . ⊆ . | sparsearray | p | npset × npset |
| . ⊕ . | sparsearray | f | sparsearray × sparsearray → sparsearray |
| { . } | sparsearray | f | natpair → npset |
| ∅ | sparsearray | c | sparsearray |
| ∅ | sparsearray | c | npset |
| I | ring | c | elem |
| O | ring | c | elem |
| O- . | ring | f | elem → elem |
| dom . | sparsearray | f | sparsearray → npset |
| elem | elem | s | |
| nat | nat-basic | s | |
| natpair | natpair | s | |
| npset | sparsearray | s | |
| sparsearray | sparsearray | s |