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Signature symbols in this unit

Symbol Specification Kind Type
# .list-datafList[A] → Nat
# .stream-oldfStream[A] → Natinf
. 'listfA → List[A]
. ( . )list-getputpfList[A] × Nat → A with λ x, n. n < # x
. ( . )stream-oldpfStream[A] × Nat → A with λ σ, n. finp(σ) → ⌜n⌝ < # σ
. ( . := . )list-getputpfList[A] × Nat × A → List[A] with λ x, n, a. n < # x
. ( . := . )stream-oldpfStream[A] × Nat × A → Stream[A] with λ σ, n, a. finp(σ) → ⌜n⌝ < # σ
. + .nat-basicfNat × Nat → Nat
. + .list-datafA × List[A] → List[A]
. + .listfList[A] × List[A] → List[A]
. + .listfList[A] × A → List[A]
. + .nat-inffNatinf × Natinf → Natinf
. + .stream-oldfA × Stream[A] → Stream[A]
. + .stream-oldfStream[A] × Stream[A] → Stream[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)
. < .nat-infpNatinf × Natinf
. > .natpNat × Nat
. ∈ .listp'A × List('A)
. ≤ .natpNat × Nat
. ≥ .natpNat × Nat
. ⊑ .list-lastpList('A) × List('A)
. ⊑ .stream-oldpStream('A) × Stream('A)
. ⊒ .list-lastpList('A) × List('A)
. butlastlist-lastpfList[A] → List[A] with λ x. x ≠ []
. distinctlist-dupfList[A] → List[A]
. drop ( . )stream-oldf(Nat → A) × Nat → Nat → A
. drop ( . )list-delpfList[A] × Nat → List[A] with λ x, n. n ≤ # x
. drop ( . )stream-oldpfStream[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
. 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 ( . )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 ( . )stream-oldf(Nat → A) × Nat → List[A]
. take ( . )list-delpfList[A] × Nat → List[A] with λ x, n. n ≤ # x
. take ( . )stream-oldpfStream[A] × Nat → Stream[A] with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ
. take ( . )stream-oldpfStream[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
[]list-datacList[A]
[]stream-oldcStream[A]
σstreamseq-mon-lim-oldvStream[A]
σσstreamseq-mon-lim-oldvStream[Stream[A]]
σfstreamseq-mon-lim-oldvNat → Stream[A]
∞nat-infcNatinf
⌜ . ⌝stream-basicfList[A] → Stream[A]
⌜ . ⌝stream-basicf(Nat → A) → Stream[A]
⌜ . ⌝nat-inffNat → Natinf
Listlist-datas
Natnat-basics
Natinfnat-infs
Streamstream-basics
astreamseq-mon-lim-oldvA
bstreamseq-mon-lim-oldvA
disjlist-duppList('A) × List('A)
dupslist-duppList('A)
fillfirstlist-lastfNat × A × List[A] → List[A]
finpstream-basicpStream('A)
fromelist-delfList[A] × A → List[A]
hdstream-oldpfStream[A] → A with λ σ. σ ≠ []
limstreamseq-mon-lim-oldpfStream[Stream[A]] → Stream[A] with λ σσ. mon(σσ) ∧ σσ ≠ []
mstreamseq-mon-lim-oldvNat
minnat-inffNatinf × Natinf → Natinf
mklistlist-lastfA × Nat → List[A]
monstreamseq-mon-lim-oldpStream(Stream('A))
nstreamseq-mon-lim-oldvNat
n∞streamseq-mon-lim-oldvNatinf
nfstreamseq-mon-lim-oldvNat → A
nnfstreamseq-mon-lim-oldvNat → Nat
npstreamseq-mon-lim-oldvNat → Bool
pstreamseq-mon-lim-oldvA → Bool
revlist-lastfList[A] → List[A]
tlstream-oldpfStream[A] → Stream[A] with λ σ. σ ≠ []
xstreamseq-mon-lim-oldvList[A]