[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
# .streamfStream('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
. + .streamf'a × Stream('a) → Stream('a)
. + .streamfStream('a) × Stream('a) → Stream('a)
. + .streamfList('a) × (Nat → 'a) → Nat → '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 ( . )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
. .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 ( . )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)
[]list-datacList('a)
[]streamcStream('a)
σstreamseq-mon-limvStream('a)
σσstreamseq-mon-limvStream(Stream('a))
σfstreamseq-mon-limvNat → 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-limv'a
bstreamseq-mon-limv'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)
hdstreampfStream('a) → 'a with λ σ. σ ≠ []
iistreamseq-mon-limvNat → Nat
lfstreamseq-mon-limvNat → List('a)
limstreamseq-mon-limpfStream(Stream('a)) → Stream('a) with λ σσ. mon(σσ) ∧ σσ ≠ []
mstreamseq-mon-limvNat
minnat-inffNatinf × Natinf → Natinf
mklistlist-lastf'a × Nat → List('a)
monstreamseq-mon-limpStream(Stream('a))
nstreamseq-mon-limvNat
n∞streamseq-mon-limvNatinf
nfstreamseq-mon-limvNat → 'a
nnfstreamseq-mon-limvNat → Nat
npstreamseq-mon-limvNat → Bool
pstreamseq-mon-limv'a → Bool
revlist-lastfList('a) → List('a)
tlstreampfStream('a) → Stream('a) with λ σ. σ ≠ []
xstreamseq-mon-limvList('a)