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