| Symbol | Specification | Kind | Type |
|---|
| # . | array | f | array → nat |
| # . | nat-list-set | f | nat-set → nat |
| # . | nat-list-set | f | nat-list → nat |
| . ' | nat-list-set | f | nat → nat-list |
| . + . | nat-basic | f | nat × nat → nat |
| . + . | nat-list-set | f | nat × nat-list → nat-list |
| . + . | nat-list-set | f | nat-list × nat → nat-list |
| . + . | nat-list-set | f | nat-list × nat-list → nat-list |
| . ++ . | nat-list-set | f | nat-set × nat → nat-set |
| . ++ . | nat-list-set | f | nat-list × nat → nat-list |
| . +1 | nat-basic | f | nat → nat |
| . +2 . | nat-list-set | f | nat × nat → nat-list |
| . - . | nat | pf | nat × nat → nat with λ n, m. n ≥ m |
| . -- . | nat-list-set | f | nat-set × nat → nat-set |
| . -1 | nat-basic | pf | nat → nat with λ n. n ≠ 0 |
| . -1l . | nat-list-set | f | nat-list × nat → nat-list |
| . -l . | nat-list-set | f | nat-list × nat → nat-list |
| . -p . | nat-list-set | f | nat-list × nat → nat-list |
| . .butlast | nat-list-set | pf | nat-list → nat-list with λ nx. nx ≠ [] |
| . .filter ( . ) | array-indices | f | nat-set × (nat → bool) → nat-set |
| . .head | nat-list-set | pf | nat-list → nat with λ nx. nx ≠ [] |
| . .indicesWhere ( . ) | array-indices | f | array × (elem → bool) → nat-list |
| . .indicesWhere ( . ) | array-indices | f | array × (elem → bool) × nat → nat-list |
| . .last | nat-list-set | pf | nat-list → nat with λ nx. nx ≠ [] |
| . .map ( . ) | array-indices | f | array × (elem → elem) → array |
| . .map ( . ) | array-indices | f | nat-set × (nat → nat) → nat-set |
| . .mapIf ( . ) | array-indices | f | array × (elem → bool) × (elem → elem) → array |
| . .mapIf ( . ) | array-indices | f | array × (elem → bool) × (elem → elem) × nat → array |
| . .mapIndices ( . ) | array-indices | f | array × nat-list × (elem → elem) → array |
| . .mapIndices ( . ) | array-indices | f | array × nat-set × (elem → elem) → array |
| . .tail | nat-list-set | pf | nat-list → nat-list with λ nx. nx ≠ [] |
| . .toSet | nat-list-set | f | nat-list → nat-set |
| . < . | nat-list-less | p | nat-list × nat |
| . < . | nat-basic | p | nat × nat |
| . < . | nat-list-set | p | nat-list × nat-list |
| . > . | nat | p | nat × nat |
| . [ . ] | array | pf | array × nat × elem → array with λ ar, n, a. n < # ar |
| . [ . ] | array | pf | array × nat → elem with λ ar, n. n < # ar |
| . [ . ] | nat-list-set | pf | nat-list × nat × nat → nat-list with λ nx, n, n0. n < # nx |
| . [ . ] | nat-list-set | pf | nat-list × nat → nat with λ nx, n. n < # nx |
| . \ . | nat-list-set | f | nat-set × nat-set → nat-set |
| . ∈ . | array-copy | p | elem × array |
| . ∈ . | nat-list-set | p | nat × nat-list |
| . ∈ . | nat-list-set | p | nat × nat-set |
| . ∩ . | nat-list-set | f | nat-set × nat-set → nat-set |
| . ∪ . | nat-list-set | f | nat-set × nat-set → nat-set |
| . ≤ . | nat | p | nat × nat |
| . ≥ . | nat | p | nat × nat |
| . ⊆ . | nat-list-set | p | nat-set × nat-set |
| . ⊑ . | nat-list-set | p | nat-list × nat-list |
| . ⊒ . | nat-list-set | p | nat-list × nat-list |
| [] | nat-list-set | c | nat-list |
| { . } | nat-list-set | f | nat → nat-set |
| φ | array-indices | v | elem → bool |
| φn | array-indices | v | nat → bool |
| ∅ | nat-list-set | c | nat-set |
| a | elem | v | elem |
| ar | array | v | array |
| ar0 | array | v | array |
| ar1 | array | v | array |
| ar2 | array | v | array |
| array | array | s | |
| b | elem | v | elem |
| butlastn | nat-list-set | pf | nat × nat-list → nat-list with λ n, nx. n ≤ # nx |
| c | elem | v | elem |
| cmp | array-copy | pp | array × elem × nat × nat with λ ar, a, m, n. m + n ≤ # ar |
| cmp | array-copy | pp | array × nat × array × nat × nat with λ ar, m, ar0, m0, n. m + n ≤ # ar ∧ m0 + n ≤ # ar0 |
| copy | array-copy | pf | array × nat × array × nat × nat → array with λ ar, m, ar0, m0, n. m + n ≤ # ar ∧ m0 + n ≤ # ar0 |
| disj | nat-list-set | p | nat-list × nat-list |
| dropn | nat-list-set | f | nat × nat-list → nat-list |
| dups | nat-list-set | p | nat-list |
| elem | elem | s | |
| f | array-indices | v | elem → elem |
| fill | array-copy | pf | array × elem × nat × nat → array with λ ar, a, n, m. n + m ≤ # ar |
| fill | array-copy | f | array × elem → array |
| fillfirst | nat-list-set | f | nat × nat × nat-list → nat-list |
| firstn | nat-list-set | pf | nat × nat-list → nat-list with λ n, nx. n ≤ # nx |
| fn | array-indices | v | nat → nat |
| frome | nat-list-set | f | nat-list × nat → nat-list |
| id○ | array-copy | p | array × array × nat |
| idrange | array-copy | pp | array × nat × nat with λ ar, m, n. m + n ≤ # ar |
| lastn | nat-list-set | pf | nat × nat-list → nat-list with λ n, nx. n ≤ # nx |
| m | nat-basic | v | nat |
| m0 | array-copy | v | nat |
| mkarray | array | f | nat → array |
| mklist | nat-list-set | f | nat × nat → nat-list |
| n | nat-basic | v | nat |
| n0 | nat-basic | v | nat |
| n1 | nat-basic | v | nat |
| n2 | nat-list-set | v | nat |
| n3 | nat-list-set | v | nat |
| n4 | nat-list-set | v | nat |
| n5 | nat-list-set | v | nat |
| nat | nat-basic | s | |
| nat-list | nat-list-set | s | |
| nat-set | nat-list-set | s | |
| ns | nat-list-set | v | nat-set |
| ns0 | nat-list-set | v | nat-set |
| ns1 | nat-list-set | v | nat-set |
| ns2 | nat-list-set | v | nat-set |
| nx | nat-list-set | v | nat-list |
| nx0 | nat-list-set | v | nat-list |
| nx1 | nat-list-set | v | nat-list |
| ny | nat-list-set | v | nat-list |
| nz | nat-list-set | v | nat-list |
| pos | nat-list-set | f | nat × nat-list → nat |
| prefixn | nat-list-set | f | nat × nat-list → nat-list |
| restn | nat-list-set | pf | nat × nat-list → nat-list with λ n, nx. n ≤ # nx |
| rev | array-copy | pf | array × nat → array with λ ar, n. n ≤ # ar |
| rev | array-copy | f | array → array |
| rev | nat-list-set | f | nat-list → nat-list |
| rmdup | nat-list-set | f | nat-list → nat-list |
| slice | nat-list-set | f | nat × nat × nat-list → nat-list |
| subarray | array-copy | pf | array × nat × nat → array with λ ar, m, n. m + n ≤ # ar |
| sublist | nat-list-set | pf | nat × nat × nat-list → nat-list with λ n, m, nx. n + m ≤ # nx |
| valid-indices | array-indices | p | array × nat-list |