| 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 |
| . < . | 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) |
| . count ( . ) | bag-basic | f | Bag[A] × A → Nat |
| . exists ( . ) | bag-union | p | Bag('A) × ('A → Bool) |
| . filter ( . ) | bag-union | f | Bag[A] × (A → Bool) → Bag[A] |
| . forall ( . ) | bag-union | p | Bag('A) × ('A → Bool) |
| . map ( . ) | bag-union | f | Bag[A] × (A → B) → Bag[B] |
| { . } | 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] |
| p | bag-union | v | A → Bool |