| Symbol | Specification | Kind | Type |
|---|---|---|---|
| . + . | nat-basic | f | Nat × Nat → Nat |
| . +1 | nat-basic | f | Nat → Nat |
| . - . | nat | pf | Nat × Nat → Nat with λ n, m. n ≥ m |
| . -1 | nat-basic | pf | Nat → Nat with λ n. n ≠ 0 |
| . < . | nat-basic | p | Nat × Nat |
| . > . | nat | p | Nat × Nat |
| . ^* | relops | f | (A × A → Bool) → A × A → Bool |
| . ^-1 | relops | f | (A × B → Bool) → B × A → Bool |
| . ≤ . | nat | p | Nat × Nat |
| . ≥ . | nat | p | Nat × Nat |
| . o . | relops | f | (A × B → Bool) × (B × C → Bool) → A × C → Bool |
| . toFun | relops | pf | (A × B → Bool) → A → B with λ rel. λ a. funp(rel) |
| Nat | nat-basic | s | |
| a | relops | v | A |
| b | relops | v | B |
| c | relops | v | C |
| cod . | relops | f | (A × B → Bool) → B → Bool |
| dom . | relops | f | (A × B → Bool) → A → Bool |
| f | relops | v | A → B |
| funp | relops | p | ('A × 'B → Bool) |
| inj | relops | p | ('A × 'B → Bool) |
| irel | relops | v | B × A → Bool |
| n | relops | v | Nat |
| pelem | relops | v | A × A → Bool |
| pfunp | relops | p | ('A × 'B → Bool) |
| rel | relops | v | A × B → Bool |
| relac | relops | v | A × C → Bool |
| relbc | relops | v | B × C → Bool |
| rtc | relops | f | Nat × (A × A → Bool) → A × A → Bool |
| surj | relops | p | ('A × 'B → Bool) |
| total | relops | p | ('A × 'B → Bool) |