| Symbol | Specification | Kind | Type |
|---|
| # . | datastream | f | datastream → natinf |
| # . | datastream | f | datalist → nat |
| . ' | datastream | f | data → datalist |
| . + . | nat-basic | f | nat × nat → nat |
| . + . | datastream | f | datastream × datastream → datastream |
| . + . | datastream | f | data × datalist → datalist |
| . + . | datastream | f | data × datastream → datastream |
| . + . | datastream | f | datalist × datalist → datalist |
| . + . | nat-inf | f | natinf × natinf → natinf |
| . + . | datastream | f | datalist × data → datalist |
| . ++ . | datastream | f | datalist × data → datalist |
| . +1 | nat-basic | f | nat → nat |
| . +2 . | datastream | f | data × data → datalist |
| . - . | nat | pf | nat × nat → nat with λ n, m. n ≥ m |
| . -1 | nat-basic | pf | nat → nat with λ n. n ≠ 0 |
| . -1l . | datastream | f | datalist × data → datalist |
| . -l . | datastream | f | datalist × data → datalist |
| . -p . | datastream | f | datalist × nat → datalist |
| . .butlast | datastream | pf | datalist → datalist with λ dx. dx ≠ [] |
| . .f | datastream | pf | datastream → nat → data with λ σ0. λ m. ∃ nf0. σ0 = ⌜nf0⌝ |
| . .head | datastream | pf | datalist → data with λ dx. dx ≠ [] |
| . .l | datastream | pf | datastream → datalist with λ σ0. finp(σ0) |
| . .last | datastream | pf | datalist → data with λ dx. dx ≠ [] |
| . .n | nat-inf | pf | natinf → nat with λ n∞. n∞ ≠ ∞ |
| . .tail | datastream | pf | datalist → datalist with λ dx. dx ≠ [] |
| . < . | nat-basic | p | nat × nat |
| . < . | nat-inf | p | natinf × natinf |
| . < . | datastream | p | datalist × datalist |
| . > . | nat | p | nat × nat |
| . [ . ] | datastream | pf | datastream × nat × data → datastream with λ σ, n, d. finp(σ) → ⌜n⌝ < # σ |
| . [ . ] | datastream | pf | datastream × nat → data with λ σ, n. finp(σ) → ⌜n⌝ < # σ |
| . [ . ] | datastream | pf | datalist × nat × data → datalist with λ dx, n, d. n < # dx |
| . [ . ] | datastream | pf | datalist × nat → data with λ dx, n. n < # dx |
| . ∈ . | datastream | p | data × datalist |
| . ≤ . | nat | p | nat × nat |
| . ≤ . | datastream | p | datastream × datastream |
| . ≥ . | nat | p | nat × nat |
| . ⊑ . | datastream | p | datalist × datalist |
| . ⊒ . | datastream | p | datalist × datalist |
| . from . | datastream | pf | datalist × nat → datalist with λ dx, n. n ≤ # dx |
| . from . | datastream | f | (nat → data) × nat → nat → data |
| . from . | datastream | pf | datastream × nat → datastream with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ |
| . to . | datastream | pf | datalist × nat → datalist with λ dx, n. n ≤ # dx |
| . to . | datastream | f | (nat → data) × nat → datalist |
| . to . | datastream | pf | datastream × nat → datastream with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ |
| . to∞ . | datastream | pf | datastream × natinf → datastream with λ σ, n∞. finp(σ) → n∞ < # σ ∨ n∞ = # σ |
| [] | datastream | c | datalist |
| [] | datastream | c | datastream |
| σ | datastream | v | datastream |
| σ1 | datastream | v | datastream |
| σ2 | datastream | v | datastream |
| ∞ | nat-inf | c | natinf |
| ⌜ . ⌝ | nat-inf | f | nat → natinf |
| ⌜ . ⌝ | datastream | f | datalist → datastream |
| ⌜ . ⌝ | datastream | f | (nat → data) → datastream |
| butlastn | datastream | pf | nat × datalist → datalist with λ n, dx. n ≤ # dx |
| d | data | v | data |
| d0 | data | v | data |
| d1 | data | v | data |
| d2 | data | v | data |
| data | data | s | |
| datalist | datastream | s | |
| datastream | datastream | s | |
| disj | datastream | p | datalist × datalist |
| dups | datastream | p | datalist |
| dx | datastream | v | datalist |
| dx0 | datastream | v | datalist |
| dx1 | datastream | v | datalist |
| dx3 | datastream | v | datalist |
| dx7 | datastream | v | datalist |
| fillfirst | datastream | f | nat × data × datalist → datalist |
| finp | datastream | p | datastream |
| firstn | datastream | pf | nat × datalist → datalist with λ n, dx. n ≤ # dx |
| frome | datastream | f | datalist × data → datalist |
| hd | datastream | pf | datastream → data with λ σ. σ ≠ [] |
| lastn | datastream | pf | nat × datalist → datalist with λ n, dx. n ≤ # dx |
| m | nat-basic | v | nat |
| m0 | nat-inf | v | nat |
| min | nat-inf | f | natinf × natinf → natinf |
| mklist | datastream | f | data × nat → datalist |
| n | nat-basic | v | nat |
| n∞ | nat-inf | v | natinf |
| n∞0 | nat-inf | v | natinf |
| n0 | nat-basic | v | nat |
| n1 | nat-basic | v | nat |
| nat | nat-basic | s | |
| natinf | nat-inf | s | |
| nf | datastream | v | nat → data |
| nf0 | datastream | v | nat → data |
| pos | datastream | f | data × datalist → nat |
| restn | datastream | pf | nat × datalist → datalist with λ n, dx. n ≤ # dx |
| rev | datastream | f | datalist → datalist |
| rmdup | datastream | f | datalist → datalist |
| sublist | datastream | pf | nat × nat × datalist → datalist with λ n, m, dx. n + m ≤ # dx |
| tl | datastream | pf | datastream → datastream with λ σ. σ ≠ [] |