| Symbol | Specification | Kind | Type |
|---|
| # . | tree | f | Tree[A] → Nat |
| . + . | 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 |
| . ≤ . | nat | p | Nat × Nat |
| . ≥ . | nat | p | Nat × Nat |
| . left | tree | pf | Tree[A] → Tree[A] with λ t. t ≠ leaf |
| . left:= . | tree | pf | Tree[A] × Tree[A] → Tree[A] with λ t, t0. t ≠ leaf |
| . right | tree | pf | Tree[A] → Tree[A] with λ t. t ≠ leaf |
| . right:= . | tree | pf | Tree[A] × Tree[A] → Tree[A] with λ t, t0. t ≠ leaf |
| . val | tree | pf | Tree[A] → A with λ t. t ≠ leaf |
| . val:= . | tree | pf | Tree[A] × A → Tree[A] with λ t, val. t ≠ leaf |
| Nat | nat-basic | s | |
| Tree | tree | s | |
| branch | tree | f | Tree[A] × A × Tree[A] → Tree[A] |
| leaf | tree | c | Tree[A] |
| left | tree | v | Tree[A] |
| right | tree | v | Tree[A] |
| t | tree | v | Tree[A] |
| val | tree | v | A |