| Symbol | Specification | Kind | Type |
|---|---|---|---|
| # . | bag-union | f | Bag('a) → Nat |
| . + . | nat-basic | f | Nat × Nat → Nat |
| . ++ . | bag-basic | f | Bag('a) × 'a → Bag('a) |
| . +1 | nat-basic | f | Nat → Nat |
| . - . | nat | pf | Nat × Nat → Nat with λ n, m. n ≥ m |
| . -- . | bag-union | f | Bag('a) × 'a → Bag('a) |
| . -1 | nat-basic | pf | Nat → Nat with λ n. n ≠ 0 |
| . .count ( . ) | bag-basic | f | Bag('a) × 'a → Nat |
| . < . | nat-basic | p | Nat × Nat |
| . > . | nat | p | Nat × Nat |
| . \ . | bag-union | f | Bag('a) × Bag('a) → Bag('a) |
| . ∈ . | bag-union | p | 'a × Bag('a) |
| . ∪ . | bag-union | f | Bag('a) × Bag('a) → Bag('a) |
| . ≤ . | nat | p | Nat × Nat |
| . ≥ . | nat | p | Nat × Nat |
| . ⊆ . | bag-union | p | Bag('a) × Bag('a) |
| { . } | bag-union | f | 'a → Bag('a) |
| ∅ | bag-basic | c | Bag('a) |
| Bag | bag-basic | s | |
| Nat | nat-basic | s | |
| a | bag-union | v | 'a |
| b | bag-union | v | 'a |
| bag | bag-union | v | Bag('a) |