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Signature symbols in this unit

Symbol Specification Kind Type
# .list-dataflist('a) → nat
#oclist-permf'a × list('a) → nat
. '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)
. ++ .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 ≠ []
. .foldLeft ( . )listflist('a) × 'b × ('b × 'a → 'b) → 'b
. .headlist-datapflist('a) → 'a with λ x. x ≠ []
. .lastlist-lastpflist('a) → 'a with λ x. x ≠ []
. .taillist-datapflist('a) → list('a) with λ x. x ≠ []
. < .nat-basicpnat × nat
. < .list-dataplist('a) × list('a)
. < .tordptord × tord
. > .natpnat × nat
. [ . := . ]list-getputpflist('a) × nat × 'a → list('a) with λ x, n, a. n < # x
. [ . ]list-getputpflist('a) × nat → 'a with λ x, n. n < # x
. \ .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)
. map .listflist('a) × ('a → 'b) → list('b)
. zip .filter-countflist('a) × list('b) → list(('a, 'b))
[]list-dataclist('a)
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
butlastnlist-lastpfnat × list('a) → list('a) with λ n, x. n ≤ # x
countfilter-countflist('a) × ('a → bool) → nat
countfilter-countpflist('a) × nat × nat × ('a → bool) → nat with λ x, m, n, p. m ≤ n ∧ n ≤ # x
disjlist-dupplist('a) × list('a)
dupslist-dupplist('a)
fillfirstlist-lastfnat × 'a × list('a) → list('a)
filterlist-setflist('a) × list('a) → list('a)
filterfilter-countflist('a) × ('a → bool) → list('a)
firstnlist-delpfnat × list('a) → list('a) with λ n, x. n ≤ # x
fromelist-delflist('a) × 'a → list('a)
ins≤olistftord × list(tord) → list(tord)
lastnlist-delpfnat × list('a) → list('a) with λ n, x. n ≤ # x
listlist-datas
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-lastf'a × nat → list('a)
nolist-min-maxvnat
natnat-basics
ordered<olistplist(tord)
ordered≤olistplist(tord)
permlist-permplist('a) × list('a)
poslist-delf'a × list('a) → nat
restnlist-delpfnat × list('a) → list('a) with λ n, x. n ≤ # x
revlist-lastflist('a) → list('a)
rmduplist-dupflist('a) → list('a)
sortolist-sortflist(tord) → list(tord)
sublistlist-delpfnat × nat × list('a) → list('a) with λ n, m, x. n + m ≤ # x
tordtords
xolist-min-maxvlist(tord)
yolist-min-maxvlist('a)