| 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 |
| Bag | bag-basic | s | |
| Elem | elem | s | |
| Nat | nat-basic | s | |
| a | bag-union | v | Elem |
| b | bag-union | v | Elem |
| bag | bag-union | v | Bag |
| count | bag-basic | f | Elem × Bag → Nat |