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Signature symbols in this unit

Symbol Specification Kind Type
# .list-datafList('a) → Nat
# .streamfStream('a) → Natinf
. !remtauf('a → Option('e)) → Stream('a) → Stream('e)
. !remtauf('a → Option('e)) → List('a) → List('e)
. 'listf'a → List('a)
. + .nat-basicfNat × Nat → Nat
. + .list-dataf'a × List('a) → List('a)
. + .listfList('a) × List('a) → List('a)
. + .listfList('a) × 'a → List('a)
. + .nat-inffNatinf × Natinf → Natinf
. + .streamf'a × Stream('a) → Stream('a)
. + .streamfStream('a) × Stream('a) → Stream('a)
. + .streamfList('a) × (Nat → 'a) → Nat → 'a
. + .remtaufOption('e) × Stream('e) → Stream('e)
. ++ .list-dupfList('a) × 'a → List('a)
. +1nat-basicfNat → Nat
. +2 .listf'a × 'a → List('a)
. - .natpfNat × Nat → Nat with λ n, m. n ≥ m
. -1nat-basicpfNat → Nat with λ n. n ≠ 0
. -1l .list-delfList('a) × 'a → List('a)
. -l .list-delfList('a) × 'a → List('a)
. -p .list-delfList('a) × Nat → List('a)
. .butlastlist-lastpfList('a) → List('a) with λ x. x ≠ []
. .distinctlist-dupfList('a) → List('a)
. .drop ( . )streamf(Nat → 'a) × Nat → Nat → 'a
. .drop ( . )list-delpfList('a) × Nat → List('a) with λ x, n. n ≤ # x
. .drop ( . )streampfStream('a) × Nat → Stream('a) with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ
. .dropRight ( . )list-lastpfList('a) × Nat → List('a) with λ x, n. n ≤ # x
. .fstream-basicpfStream('a) → Nat → 'a with λ σ. λ m. ∃ nf. σ = ⌜nf⌝
. .foldLeft ( . )listfList('a) × 'b × ('b × 'a → 'b) → 'b
. .getoptionpfOption('a) → 'a with λ opt. opt ≠ None
. .getOrElse ( . )optionfOption('a) × 'a → 'a
. .headlist-datapfList('a) → 'a with λ x. x ≠ []
. .indexOf ( . )list-delfList('a) × 'a → Nat
. .lstream-basicpfStream('a) → List('a) with λ σ. finp(σ)
. .lastlist-lastpfList('a) → 'a with λ x. x ≠ []
. .map ( . )optionfOption('a) × ('a → 'b) → Option('b)
. .map ( . )listfList('a) × ('a → 'b) → List('b)
. .nnat-infpfNatinf → Nat with λ n∞. n∞ ≠ ∞
. .sublist ( . )list-delpfList('a) × Nat × Nat → List('a) with λ x, n, m. n + m ≤ # x
. .taillist-datapfList('a) → List('a) with λ x. x ≠ []
. .take ( . )streamf(Nat → 'a) × Nat → List('a)
. .take ( . )list-delpfList('a) × Nat → List('a) with λ x, n. n ≤ # x
. .take ( . )streampfStream('a) × Nat → List('a) with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ
. .take ( . )streampfStream('a) × Natinf → Stream('a) with λ σ, n∞. finp(σ) → n∞ < # σ ∨ n∞ = # σ
. .takeRight ( . )list-delpfList('a) × Nat → List('a) with λ x, n. n ≤ # x
. < .nat-basicpNat × Nat
. < .list-datapList('a) × List('a)
. < .nat-infpNatinf × Natinf
. > .natpNat × Nat
. [ . := . ]list-getputpfList('a) × Nat × 'a → List('a) with λ x, n, a. n < # x
. [ . := . ]streampfStream('a) × Nat × 'a → Stream('a) with λ σ, n, a. finp(σ) → ⌜n⌝ < # σ
. [ . ]list-getputpfList('a) × Nat → 'a with λ x, n. n < # x
. [ . ]streampfStream('a) × Nat → 'a with λ σ, n. finp(σ) → ⌜n⌝ < # σ
. ∈ .listp'a × List('a)
. ≤ .natpNat × Nat
. ≥ .natpNat × Nat
. ⊑ .list-lastpList('a) × List('a)
. ⊑ .streampStream('a) × Stream('a)
. ⊒ .list-lastpList('a) × List('a)
. o .optionf('b → Option('c)) × ('a → Option('b)) → 'a → Option('c)
[]list-datacList('a)
[]streamcStream('a)
αremtau-contvStream('a)
βremtau-contvStream('e)
∞nat-infcNatinf
⌜ . ⌝stream-basicfList('a) → Stream('a)
⌜ . ⌝stream-basicf(Nat → 'a) → Stream('a)
⌜ . ⌝nat-inffNat → Natinf
Listlist-datas
Natnat-basics
Natinfnat-infs
NoneoptioncOption('a)
Optionoptions
Someoptionf'a → Option('a)
Streamstream-basics
aremtau-contv'a
afremtau-contvNat → 'a
alremtau-contvList('a)
contcontfun-limp(Stream('a) → Stream('b))
contcontfun-limp(Stream('s) × Stream('a) → Stream('b))
disjlist-duppList('a) × List('a)
dupslist-duppList('a)
eremtau-contv'e
efremtau-contvNat → 'e
elremtau-contvList('e)
extremtau-contv'a → Option('e)
fillfirstlist-lastfNat × 'a × List('a) → List('a)
finpstream-basicpStream('a)
fromelist-delfList('a) × 'a → List('a)
hdstreampfStream('a) → 'a with λ σ. σ ≠ []
liftcontfun-limf(List('a) → Bool) → Stream('a) → Bool
liftcontfun-limf(List('s) × List('a) → Bool) → Stream('s) × Stream('a) → Bool
liftcontfun-limpf(List('a) → List('b)) → Stream('a) → Stream('b) with λ lf. λ α. mon(lf)
liftcontfun-limpf(List('s) × List('a) → List('b)) → Stream('s) × Stream('a) → Stream('b) with λ trf. λ σ, α. mon(trf)
liftedcontfun-limf(List('a) → Bool) → (List('a) → List('b)) × (Stream('a) → Stream('b)) → Bool
liftedcontfun-limf(List('s) × List('a) → Bool) → (List('s) × List('a) → List('b)) × (Stream('s) × Stream('a) → Stream('b)) → Bool
limstreamseq-mon-limpfStream(Stream('a)) → Stream('a) with λ σσ. mon(σσ) ∧ σσ ≠ []
mremtau-contvNat
minnat-inffNatinf × Natinf → Natinf
mklistlist-lastf'a × Nat → List('a)
monstreamseq-mon-limpStream(Stream('a))
moncontfun-limp(Stream('a) → Stream('b))
moncontfun-limp(Stream('s) × Stream('a) → Stream('b))
moncontfun-limp(List('a) → List('b))
moncontfun-limp(List('s) × List('a) → List('b))
nremtau-contvNat
oeremtau-contvOption('e)
oinjoptionp('a → Option('b))
osurjoptionp('a → Option('b))
pbdcontfun-limp(Stream('a) → Stream('b))
pbdcontfun-limp(Stream('s) × Stream('a) → Stream('b))
pcontcontfun-limf(Stream('a) → Bool) → (Stream('a) → Stream('b)) → Bool
pcontcontfun-limf(Stream('s) × Stream('a) → Bool) → (Stream('s) × Stream('a) → Stream('b)) → Bool
pfxclosedcontfun-limp(Stream('a) → Bool)
pfxclosedcontfun-limp(List('a) → Bool)
pfxclosedcontfun-limp(Stream('s) × Stream('a) → Bool)
pfxclosedcontfun-limp(List('s) × List('a) → Bool)
pmoncontfun-limf(Stream('a) → Bool) → (Stream('a) → Stream('b)) → Bool
pmoncontfun-limf(List('a) → Bool) → (List('a) → List('b)) → Bool
pmoncontfun-limf(Stream('s) × Stream('a) → Bool) → (Stream('s) × Stream('a) → Stream('b)) → Bool
pmoncontfun-limf(List('s) × List('a) → Bool) → (List('s) × List('a) → List('b)) → Bool
ppbdcontfun-limf(Stream('a) → Bool) → (Stream('a) → Stream('b)) → Bool
ppbdcontfun-limf(Stream('s) × Stream('a) → Bool) → (Stream('s) × Stream('a) → Stream('b)) → Bool
revlist-lastfList('a) → List('a)
tlstreampfStream('a) → Stream('a) with λ σ. σ ≠ []