[Imprint][Data Privacy Statement][E-Mail]

Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Signature symbols in this unit

Symbol Specification Kind Type
# .list-datafList('a) → Nat
# .stream-oldfStream('a) → Natinf
. '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
. + .stream-oldf'a × Stream('a) → Stream('a)
. + .stream-oldfStream('a) × Stream('a) → Stream('a)
. ++ .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 ( . )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
. < .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
. [ . := . ]stream-oldpfStream('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
. [ . ]stream-oldpfStream('a) × Nat → 'a with λ σ, n. finp(σ) → ⌜n⌝ < # σ
. ∈ .listp'a × List('a)
. ≤ .natpNat × Nat
. ≥ .natpNat × Nat
. ⊑ .list-lastpList('a) × List('a)
. ⊑ .stream-oldpStream('a) × Stream('a)
. ⊒ .list-lastpList('a) × List('a)
[]list-datacList('a)
[]stream-oldcStream('a)
σinfinite-append-oldvStream('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
ainfinite-append-oldv'a
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 ≠ []
iiinfinite-append-oldvNat → Nat
iigeninfinite-append-oldvNat → Nat → Nat
jjinfinite-append-oldvNat → Nat
lfinfinite-append-oldvNat → List('a)
lfgeninfinite-append-oldvNat → Nat → List('a)
minfinite-append-oldvNat
minnat-inffNatinf × Natinf → Natinf
mklistlist-lastf'a × Nat → List('a)
ninfinite-append-oldvNat
nextjinfinite-append-oldvNat × 'a → Nat
nextlinfinite-append-oldvNat × 'a → List('a)
nfinfinite-append-oldvNat → 'a
nfgeninfinite-append-oldvNat → Nat → 'a
revlist-lastfList('a) → List('a)
tlstream-oldpfStream('a) → Stream('a) with λ σ. σ ≠ []