| Symbol | Specification | Kind | Type |
|---|
| # . | list-data | f | list → nat |
| # . | stream | f | stream → natinf |
| . ' | list | f | elem → list |
| . + . | nat-basic | f | nat × nat → nat |
| . + . | list-data | f | elem × list → list |
| . + . | list | f | list × list → list |
| . + . | list | f | list × elem → list |
| . + . | nat-inf | f | natinf × natinf → natinf |
| . + . | stream | f | elem × stream → stream |
| . + . | stream | f | stream × stream → stream |
| . ++ . | list-dup | f | list × elem → list |
| . +1 | nat-basic | f | nat → nat |
| . +2 . | list | f | elem × elem → list |
| . - . | nat | pf | nat × nat → nat with λ n, m. n ≥ m |
| . -1 | nat-basic | pf | nat → nat with λ n. n ≠ 0 |
| . -1l . | list-del | f | list × elem → list |
| . -l . | list-del | f | list × elem → list |
| . -p . | list-del | f | list × nat → list |
| . .butlast | list-last | pf | list → list with λ x. x ≠ [] |
| . .f | stream-basic | pf | stream → nat → elem with λ σ. λ m. ∃ nf. σ = ⌜nf⌝ |
| . .head | list-data | pf | list → elem with λ x. x ≠ [] |
| . .l | stream-basic | pf | stream → list with λ σ. finp(σ) |
| . .last | list-last | pf | list → elem with λ x. x ≠ [] |
| . .n | nat-inf | pf | natinf → nat with λ n∞. n∞ ≠ ∞ |
| . .tail | list-data | pf | list → list with λ x. x ≠ [] |
| . < . | nat-basic | p | nat × nat |
| . < . | list-data | p | list × list |
| . < . | nat-inf | p | natinf × natinf |
| . > . | nat | p | nat × nat |
| . [ . ] | list-getput | pf | list × nat → elem with λ x, n. n < # x |
| . [ . ] | list-getput | pf | list × nat × elem → list with λ x, n, a. n < # x |
| . [ . ] | stream | pf | stream × nat → elem with λ σ, n. finp(σ) → ⌜n⌝ < # σ |
| . [ . ] | stream | pf | stream × nat × elem → stream with λ σ, n, a. finp(σ) → ⌜n⌝ < # σ |
| . ∈ . | list | p | elem × list |
| . ≤ . | nat | p | nat × nat |
| . ≤ . | stream | p | stream × stream |
| . ≥ . | nat | p | nat × nat |
| . ⊑ . | list-last | p | list × list |
| . ⊒ . | list-last | p | list × list |
| . from . | stream | f | (nat → elem) × nat → nat → elem |
| . from . | stream | pf | stream × nat → stream with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ |
| . from . | stream | pf | list × nat → list with λ x, n. n ≤ # x |
| . to . | stream | f | (nat → elem) × nat → list |
| . to . | stream | pf | stream × nat → stream with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ |
| . to . | stream | pf | list × nat → list with λ x, n. n ≤ # x |
| . to∞ . | stream | pf | stream × natinf → stream with λ σ, n∞. finp(σ) → n∞ < # σ ∨ n∞ = # σ |
| [] | list-data | c | list |
| [] | stream | c | stream |
| σ | stream | v | stream |
| ∞ | nat-inf | c | natinf |
| ⌜ . ⌝ | stream-basic | f | list → stream |
| ⌜ . ⌝ | stream-basic | f | (nat → elem) → stream |
| ⌜ . ⌝ | nat-inf | f | nat → natinf |
| a | stream | v | elem |
| butlastn | list-last | pf | nat × list → list with λ n, x. n ≤ # x |
| disj | list-dup | p | list × list |
| dups | list-dup | p | list |
| elem | elem | s | |
| fillfirst | list-last | f | nat × elem × list → list |
| finp | stream-basic | p | stream |
| firstn | list-del | pf | nat × list → list with λ n, x. n ≤ # x |
| frome | list-del | f | list × elem → list |
| hd | stream | pf | stream → elem with λ σ. σ ≠ [] |
| lastn | list-del | pf | nat × list → list with λ n, x. n ≤ # x |
| list | list-data | s | |
| min | nat-inf | f | natinf × natinf → natinf |
| mklist | list-last | f | elem × nat → list |
| nat | nat-basic | s | |
| natinf | nat-inf | s | |
| nf | stream | v | nat → elem |
| pos | list-del | f | elem × list → nat |
| restn | list-del | pf | nat × list → list with λ n, x. n ≤ # x |
| rev | list-last | f | list → list |
| rmdup | list-dup | f | list → list |
| stream | stream-basic | s | |
| sublist | list-del | pf | nat × nat × list → list with λ n, m, x. n + m ≤ # x |
| tl | stream | pf | stream → stream with λ σ. σ ≠ [] |
| x | stream | v | list |
| y | stream | v | list |
| z | stream | v | list |