| Symbol | Specification | Kind | Type |
|---|
| # . | map | f | Map[A, B] → Nat |
| # . | set-basic | f | Set[A] → Nat |
| . ( . ) | map | pf | Map[A, B] × A → B with λ st, a. a ∈ st |
| . ( . := . ) | map | f | Map[A, B] × A × B → Map[A, B] |
| . + . | 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 |
| . -- . | map | f | Map[A, B] × A → Map[A, B] |
| . -- . | set-union | f | Set[A] × A → Set[A] |
| . -1 | nat-basic | pf | Nat → Nat with λ n. n ≠ 0 |
| . < . | nat-basic | p | Nat × Nat |
| . > . | nat | p | Nat × Nat |
| . \ . | set-union | f | Set[A] × Set[A] → Set[A] |
| . \ . | map+set | f | Map[A, B] × Set[A] → Map[A, B] |
| . | . | map+set | f | Map[A, B] × Set[A] → Map[A, B] |
| . ∈ . | map | p | 'A × Map('A, 'B) |
| . ∈ . | set-basic | p | 'A × Set('A) |
| . ∈v . | map+set | p | 'B × Map('A, 'B) |
| . ∩ . | 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 |
| . ⊆ . | map | p | Map('A, 'B) × Map('A, 'B) |
| . ⊆ . | set-basic | p | Set('A) × Set('A) |
| . ⊕ . | map+set | f | Map[A, B] × Map[A, B] → Map[A, B] |
| . 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] |
| { . } | set-union | f | A → Set[A] |
| ∅ | map | c | Map[A, B] |
| ∅ | set-basic | c | Set[A] |
| Map | map | s | |
| Nat | nat-basic | s | |
| Set | set-basic | s | |
| a | map+set | v | A |
| d | map+set | v | B |
| disjoint | set-union | p | Set('A) × Set('A) |
| dom . | map+set | f | Map[A, B] → Set[A] |
| s | map+set | v | Set[A] |
| st | map+set | v | Map[A, B] |