| 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 |
| . < . | nat-basic | p | Nat × Nat |
| . < . | tord | p | Tord × Tord |
| . < . | oset | p | Tord × Set(Tord) |
| . < . | oset | p | Set(Tord) × Tord |
| . > . | 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) |
| . butmax | oset | pf | Set[Tord] → Set[Tord] with λ s. s ≠ ∅ |
| . butmin | oset | pf | Set[Tord] → Set[Tord] with λ s. s ≠ ∅ |
| . exists ( . ) | set-union | p | Set('A) × ('A → Bool) |
| . filter ( . ) | set-union | f | Set[A] × (A → Bool) → Set[A] |
| . forall ( . ) | set-union | p | Set('A) × ('A → Bool) |
| . map ( . ) | set-union | f | Set[A] × (A → B) → Set[B] |
| . max | oset | pf | Set[Tord] → Tord with λ s. s ≠ ∅ |
| . min | oset | pf | Set[Tord] → Tord with λ s. s ≠ ∅ |
| { . } | set-union | f | A → Set[A] |
| ∅ | set-basic | c | Set[A] |
| Nat | nat-basic | s | |
| Set | set-basic | s | |
| Tord | tord | s | |
| a | oset | v | Tord |
| b | oset | v | Tord |
| disjoint | set-union | p | Set('A) × Set('A) |
| s | oset | v | Set[Tord] |