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Signature symbols in this unit

Symbol Specification Kind Type
# .list-datafList[A] → Nat
#oclist-permfA × List[A] → Nat
. 'listfA → List[A]
. ( . )list-getputpfList[A] × Nat → A with λ x, n. n < # x
. ( . := . )list-getputpfList[A] × Nat × A → List[A] with λ x, n, a. n < # x
. + .nat-basicfNat × Nat → Nat
. + .list-datafA × List[A] → List[A]
. + .listfList[A] × List[A] → List[A]
. + .listfList[A] × A → List[A]
. ++ .list-dupfList[A] × A → List[A]
. +1nat-basicfNat → Nat
. +2 .listfA × 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]
. < .nat-basicpNat × Nat
. < .list-datapList('A) × List('A)
. < .tordpTord × Tord
. > .natpNat × Nat
. \ .list-setfList[A] × List[A] → List[A]
. ∈ .listp'A × List('A)
. ∪ .list-setfList[A] × List[A] → List[A]
. ≤ .natpNat × Nat
. ≥ .natpNat × Nat
. ⊆ .list-setpList('A) × List('A)
. ⊆m .list-permpList('A) × List('A)
. ⊑ .list-lastpList('A) × List('A)
. ⊒ .list-lastpList('A) × List('A)
. butlastlist-lastpfList[A] → List[A] with λ x. x ≠ []
. count ( . )filter-countfList[A] × (A → Bool) → Nat
. count ( . )filter-countpfList[A] × Nat × Nat × (A → Bool) → Nat with λ x, m, n, p. m ≤ n ∧ n ≤ # x
. distinctlist-dupfList[A] → List[A]
. drop ( . )list-delpfList[A] × Nat → List[A] with λ x, n. n ≤ # x
. dropRight ( . )list-lastpfList[A] × Nat → List[A] with λ x, n. n ≤ # x
. filter ( . )filter-countfList[A] × (A → Bool) → List[A]
. foldLeft ( . )listfList[A] × B × (B × A → B) → B
. headlist-datapfList[A] → A with λ x. x ≠ []
. indexOf ( . )list-delfList[A] × A → Nat
. intersect .list-setfList[A] × List[A] → List[A]
. lastlist-lastpfList[A] → A with λ x. x ≠ []
. map ( . )listfList[A] × (A → B) → List[B]
. 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 ( . )list-delpfList[A] × Nat → List[A] with λ x, n. n ≤ # x
. takeRight ( . )list-delpfList[A] × Nat → List[A] with λ x, n. n ≤ # x
. zip .filter-countfList[A] × List[B] → List[(A, B)]
[]list-datacList[A]
Listlist-datas
Natnat-basics
Tordtords
aolist-min-maxvTord
all<olist-min-maxpList(Tord) × Tord
all<olist-min-maxpList(Tord) × Nat × Nat × Tord
all>olist-min-maxpList(Tord) × Tord
all>olist-min-maxpList(Tord) × Nat × Nat × Tord
all≤olist-min-maxpList(Tord) × Tord
all≤olist-min-maxpList(Tord) × Nat × Nat × Tord
all≥olist-min-maxpList(Tord) × Tord
all≥olist-min-maxpList(Tord) × Nat × Nat × Tord
bolist-min-maxvTord
disjlist-duppList('A) × List('A)
dupslist-duppList('A)
fillfirstlist-lastfNat × A × List[A] → List[A]
fromelist-delfList[A] × A → List[A]
ins≤olistfTord × List[Tord] → List[Tord]
molist-min-maxvNat
maxtord-min-maxfTord × Tord → Tord
maxolist-min-maxpfList[Tord] → Tord with λ x. x ≠ []
mergeolistfList[Tord] × List[Tord] → List[Tord]
mintord-min-maxfTord × Tord → Tord
minolist-min-maxpfList[Tord] → Tord with λ x. x ≠ []
mklistlist-lastfA × Nat → List[A]
nolist-min-maxvNat
ordered<olistpList(Tord)
ordered≤olistpList(Tord)
permlist-permpList('A) × List('A)
revlist-lastfList[A] → List[A]
sortolist-sortfList[Tord] → List[Tord]
xolist-min-maxvList[Tord]
yolist-min-maxvList[A]