| Symbol | Specification | Kind | Type |
|---|
| # . | list-data | f | List('a) → Nat |
| # . | stream-old | f | Stream('a) → Natinf |
| . ' | list | f | 'a → List('a) |
| . + . | nat-basic | f | Nat × Nat → Nat |
| . + . | list-data | f | 'a × List('a) → List('a) |
| . + . | list | f | List('a) × List('a) → List('a) |
| . + . | list | f | List('a) × 'a → List('a) |
| . + . | nat-inf | f | Natinf × Natinf → Natinf |
| . + . | stream-old | f | 'a × Stream('a) → Stream('a) |
| . + . | stream-old | f | Stream('a) × Stream('a) → Stream('a) |
| . ++ . | list-dup | f | List('a) × 'a → List('a) |
| . +1 | nat-basic | f | Nat → Nat |
| . +2 . | list | f | 'a × 'a → List('a) |
| . - . | 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('a) × 'a → List('a) |
| . -l . | list-del | f | List('a) × 'a → List('a) |
| . -p . | list-del | f | List('a) × Nat → List('a) |
| . .butlast | list-last | pf | List('a) → List('a) with λ x. x ≠ [] |
| . .distinct | list-dup | f | List('a) → List('a) |
| . .drop ( . ) | stream-old | f | (Nat → 'a) × Nat → Nat → 'a |
| . .drop ( . ) | list-del | pf | List('a) × Nat → List('a) with λ x, n. n ≤ # x |
| . .drop ( . ) | stream-old | pf | Stream('a) × Nat → Stream('a) with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ |
| . .dropRight ( . ) | list-last | pf | List('a) × Nat → List('a) with λ x, n. n ≤ # x |
| . .f | stream-basic | pf | Stream('a) → Nat → 'a with λ σ. λ m. ∃ nf. σ = ⌜nf⌝ |
| . .filter ( . ) | mon-lim-filter-count-old | f | Stream('a) × ('a → Bool) → Stream('a) |
| . .foldLeft ( . ) | list | f | List('a) × 'b × ('b × 'a → 'b) → 'b |
| . .head | list-data | pf | List('a) → 'a with λ x. x ≠ [] |
| . .indexOf ( . ) | list-del | f | List('a) × 'a → Nat |
| . .l | stream-basic | pf | Stream('a) → List('a) with λ σ. finp(σ) |
| . .last | list-last | pf | List('a) → 'a with λ x. x ≠ [] |
| . .map ( . ) | list | f | List('a) × ('a → 'b) → List('b) |
| . .n | nat-inf | pf | Natinf → Nat with λ n∞. n∞ ≠ ∞ |
| . .sublist ( . ) | list-del | pf | List('a) × Nat × Nat → List('a) with λ x, n, m. n + m ≤ # x |
| . .tail | list-data | pf | List('a) → List('a) with λ x. x ≠ [] |
| . .take ( . ) | stream-old | f | (Nat → 'a) × Nat → List('a) |
| . .take ( . ) | list-del | pf | List('a) × Nat → List('a) with λ x, n. n ≤ # x |
| . .take ( . ) | stream-old | pf | Stream('a) × Nat → Stream('a) with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ |
| . .take ( . ) | stream-old | pf | Stream('a) × Natinf → Stream('a) with λ σ, n∞. finp(σ) → n∞ < # σ ∨ n∞ = # σ |
| . .takeRight ( . ) | list-del | pf | List('a) × Nat → List('a) with λ x, n. n ≤ # x |
| . < . | nat-basic | p | Nat × Nat |
| . < . | list-data | p | List('a) × List('a) |
| . < . | nat-inf | p | Natinf × Natinf |
| . > . | nat | p | Nat × Nat |
| . [ . := . ] | list-getput | pf | List('a) × Nat × 'a → List('a) with λ x, n, a. n < # x |
| . [ . := . ] | stream-old | pf | Stream('a) × Nat × 'a → Stream('a) with λ σ, n, a. finp(σ) → ⌜n⌝ < # σ |
| . [ . ] | list-getput | pf | List('a) × Nat → 'a with λ x, n. n < # x |
| . [ . ] | stream-old | pf | Stream('a) × Nat → 'a with λ σ, n. finp(σ) → ⌜n⌝ < # σ |
| . ∈ . | list | p | 'a × List('a) |
| . ≤ . | nat | p | Nat × Nat |
| . ≥ . | nat | p | Nat × Nat |
| . ⊑ . | list-last | p | List('a) × List('a) |
| . ⊑ . | stream-old | p | Stream('a) × Stream('a) |
| . ⊒ . | list-last | p | List('a) × List('a) |
| [] | list-data | c | List('a) |
| [] | stream-old | c | Stream('a) |
| σf | stut-mon-old | v | Nat → Stream('a) |
| ∞ | nat-inf | c | Natinf |
| ⌜ . ⌝ | stream-basic | f | List('a) → Stream('a) |
| ⌜ . ⌝ | stream-basic | f | (Nat → 'a) → Stream('a) |
| ⌜ . ⌝ | nat-inf | f | Nat → Natinf |
| List | list-data | s | |
| Nat | nat-basic | s | |
| Natinf | nat-inf | s | |
| Stream | stream-basic | s | |
| cnt | mon-lim-filter-count-old | f | 'a × Stream('a) → Natinf |
| disj | list-dup | p | List('a) × List('a) |
| dups | list-dup | p | List('a) |
| fillfirst | list-last | f | Nat × 'a × List('a) → List('a) |
| finp | stream-basic | p | Stream('a) |
| frome | list-del | f | List('a) × 'a → List('a) |
| hd | stream-old | pf | Stream('a) → 'a with λ σ. σ ≠ [] |
| inv | stut-mon-old | pf | Stream(Nat) → Stream(Nat) with λ nσ. stutf(nσ) |
| lastoc | mon-lim-filter-count-old | f | 'a × Stream('a) → Natinf |
| leninv | stut-mon-old | f | Stream(Nat) → Natinf |
| lim | mon-lim-filter-count-old | pf | (Nat → Stream('a)) → Stream('a) with λ σf. mon(σf) |
| m | stut-mon-old | v | Nat |
| max∞ | stut-mon-old | f | (Nat → Bool) → Natinf |
| min | nat-inf | f | Natinf × Natinf → Natinf |
| min | stut-mon-old | pf | Stream(Nat) × Nat → Nat with λ nσ, n. mon<(nσ) |
| mklist | list-last | f | 'a × Nat → List('a) |
| mon | mon-lim-filter-count-old | p | (Nat → Type(Stream('a))) |
| mon< | stut-mon-old | p | Stream(Nat) |
| mon≤ | stut-mon-old | p | Stream(Nat) |
| n | stut-mon-old | v | Nat |
| nσ | stut-mon-old | v | Stream(Nat) |
| nσf | stut-mon-old | v | Nat → Stream(Nat) |
| n∞ | stut-mon-old | v | Natinf |
| nf | stut-mon-old | v | Nat → Nat |
| nl | stut-mon-old | v | List(Nat) |
| nnf | stut-mon-old | v | Nat → Nat |
| np | stut-mon-old | v | Nat → Bool |
| p | stut-mon-old | v | 'a → Bool |
| rem | mon-lim-filter-count-old | f | Stream('a) × (Nat → Bool) → Stream('a) |
| rev | list-last | f | List('a) → List('a) |
| stutf | stut-mon-old | p | Stream(Nat) |
| tl | stream-old | pf | Stream('a) → Stream('a) with λ σ. σ ≠ [] |