| Symbol | Specification | Kind | Type |
|---|
| # . | natstream | f | Natlist → Nat |
| # . | natstream | f | Natstream → Natinf |
| . ' | natstream | f | Nat → Natlist |
| . ( . ) | natstream | pf | Natlist × Nat → Nat with λ x, n. n < # x |
| . ( . ) | natstream | pf | Natstream × Nat → Nat with λ σ, n. finp(σ) → ⌜n⌝ < # σ |
| . ( . := . ) | natstream | pf | Natlist × Nat × Nat → Natlist with λ x, n, a. n < # x |
| . ( . := . ) | natstream | pf | Natstream × Nat × Nat → Natstream with λ σ, n, a. finp(σ) → ⌜n⌝ < # σ |
| . + . | nat-basic | f | Nat × Nat → Nat |
| . + . | natstream | f | Nat × Natlist → Natlist |
| . + . | natstream | f | Natlist × Natlist → Natlist |
| . + . | natstream | f | Natlist × Nat → Natlist |
| . + . | nat-inf | f | Natinf × Natinf → Natinf |
| . + . | natstream | f | Nat × Natstream → Natstream |
| . + . | natstream | f | Natstream × Natstream → Natstream |
| . ++ . | natstream | f | Natlist × Nat → Natlist |
| . +1 | nat-basic | f | Nat → Nat |
| . +l . | natstream | f | Nat × Nat → Natlist |
| . - . | nat | pf | Nat × Nat → Nat with λ n, m. n ≥ m |
| . -1 | nat-basic | pf | Nat → Nat with λ n. n ≠ 0 |
| . -1l . | natstream | f | Natlist × Nat → Natlist |
| . -l . | natstream | f | Natlist × Nat → Natlist |
| . -pos . | natstream | f | Natlist × Nat → Natlist |
| . < . | nat-basic | p | Nat × Nat |
| . < . | natstream | p | Natlist × Natlist |
| . < . | nat-inf | p | Natinf × Natinf |
| . > . | nat | p | Nat × Nat |
| . ∈ . | natstream | p | Nat × Natlist |
| . ≤ . | nat | p | Nat × Nat |
| . ≥ . | nat | p | Nat × Nat |
| . ⊑ . | natstream | p | Natlist × Natlist |
| . ⊑ . | natstream | p | Natstream × Natstream |
| . ⊒ . | natstream | p | Natlist × Natlist |
| . butlast | natstream | pf | Natlist → Natlist with λ x. x ≠ [] |
| . f | natstream | pf | Natstream → Nat → Nat with λ σ. λ m. ∃ nf. σ = ⌜nf⌝ |
| . from . | natstream | f | (Nat → Nat) × Nat → Nat → Nat |
| . from . | natstream | pf | Natstream × Nat → Natstream with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ |
| . from . | natstream | pf | Natlist × Nat → Natlist with λ x, n. n ≤ # x |
| . head | natstream | pf | Natlist → Nat with λ x. x ≠ [] |
| . l | natstream | pf | Natstream → Natlist with λ σ. finp(σ) |
| . last | natstream | pf | Natlist → Nat with λ x. x ≠ [] |
| . n | nat-inf | pf | Natinf → Nat with λ n∞. n∞ ≠ ∞ |
| . tail | natstream | pf | Natlist → Natlist with λ x. x ≠ [] |
| . to . | natstream | f | (Nat → Nat) × Nat → Natlist |
| . to . | natstream | pf | Natstream × Nat → Natstream with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ |
| . to . | natstream | pf | Natlist × Nat → Natlist with λ x, n. n ≤ # x |
| . to∞ . | natstream | pf | Natstream × Natinf → Natstream with λ σ, n∞. finp(σ) → n∞ < # σ ∨ n∞ = # σ |
| [] | natstream | c | Natlist |
| [] | natstream | c | Natstream |
| ∞ | nat-inf | c | Natinf |
| ⌜ . ⌝ | natstream | f | Natlist → Natstream |
| ⌜ . ⌝ | natstream | f | (Nat → Nat) → Natstream |
| ⌜ . ⌝ | nat-inf | f | Nat → Natinf |
| Nat | nat-basic | s | |
| Natinf | nat-inf | s | |
| Natlist | natstream | s | |
| Natstream | natstream | s | |
| butlastn | natstream | pf | Nat × Natlist → Natlist with λ n, x. n ≤ # x |
| cnt | natstream | f | Nat × Natstream → Natinf |
| disj | natstream | p | Natlist × Natlist |
| dups | natstream | p | Natlist |
| fillfirst | natstream | f | Nat × Nat × Natlist → Natlist |
| filter | natstream | f | (Nat → Bool) × Natstream → Natstream |
| finp | natstream | p | Natstream |
| firstn | natstream | pf | Nat × Natlist → Natlist with λ n, x. n ≤ # x |
| frome | natstream | f | Natlist × Nat → Natlist |
| hd | natstream | pf | Natstream → Nat with λ σ. σ ≠ [] |
| lastn | natstream | pf | Nat × Natlist → Natlist with λ n, x. n ≤ # x |
| lastoc | natstream | f | Nat × Natstream → Natinf |
| lim | natstream | pf | (Nat → Natstream) → Natstream with λ σf. mon(σf) |
| min | nat-inf | f | Natinf × Natinf → Natinf |
| mklist | natstream | f | Nat × Nat → Natlist |
| mon | natstream | p | (Nat → Natstream) |
| pos | natstream | f | Nat × Natlist → Nat |
| rem | natstream | f | Natstream × (Nat → Bool) → Natstream |
| restn | natstream | pf | Nat × Natlist → Natlist with λ n, x. n ≤ # x |
| rev | natstream | f | Natlist → Natlist |
| rmdup | natstream | f | Natlist → Natlist |
| sublist | natstream | pf | Nat × Nat × Natlist → Natlist with λ n, m, x. n + m ≤ # x |
| tl | natstream | pf | Natstream → Natstream with λ σ. σ ≠ [] |