| Symbol | Specification | Kind | Type |
|---|---|---|---|
| # . | bag-union | f | bag → nat |
| . + . | nat-basic | f | nat × nat → nat |
| . ++ . | bag-basic | f | bag × elem → bag |
| . +1 | nat-basic | f | nat → nat |
| . - . | nat | pf | nat × nat → nat with λ n, m. n ≥ m |
| . -- . | bag-union | f | bag × elem → bag |
| . -1 | nat-basic | pf | nat → nat with λ n. n ≠ 0 |
| . < . | nat-basic | p | nat × nat |
| . > . | nat | p | nat × nat |
| . \ . | bag-union | f | bag × bag → bag |
| . ∈ . | bag-union | p | elem × bag |
| . ∪ . | bag-union | f | bag × bag → bag |
| . ≤ . | nat | p | nat × nat |
| . ≥ . | nat | p | nat × nat |
| . ⊆ . | bag-union | p | bag × bag |
| { . } | bag-union | f | elem → bag |
| ∅ | bag-basic | c | bag |
| a | elem | v | elem |
| b | elem | v | elem |
| bag | bag-basic | s | |
| bag | bag-basic | v | bag |
| bag0 | bag-basic | v | bag |
| bag1 | bag-basic | v | bag |
| bag2 | bag-basic | v | bag |
| c | elem | v | elem |
| count | bag-basic | f | elem × bag → nat |
| elem | elem | s | |
| m | nat-basic | v | nat |
| n | nat-basic | v | nat |
| n0 | nat-basic | v | nat |
| n1 | nat-basic | v | nat |
| nat | nat-basic | s |