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Signature symbols in this unit

Symbol	Specification	Kind	Type
# .	list-data	f	List → Nat
# .	stream	f	Stream → Natinf
# .	stream-of-streams	f	Streamlist → Nat
# .	stream-of-streams	f	Streamstream → Natinf
. '	list	f	Elem → List
. '	stream-of-streams	f	Stream → Streamlist
. + .	nat-basic	f	Nat × Nat → Nat
. + .	list-data	f	Elem × List → List
. + .	list	f	List × List → List
. + .	list	f	List × Elem → List
. + .	nat-inf	f	Natinf × Natinf → Natinf
. + .	stream	f	Elem × Stream → Stream
. + .	stream	f	Stream × Stream → Stream
. + .	stream-of-streams	f	Stream × Streamlist → Streamlist
. + .	stream-of-streams	f	Streamlist × Streamlist → Streamlist
. + .	stream-of-streams	f	Streamlist × Stream → Streamlist
. + .	stream-of-streams	f	Stream × Streamstream → Streamstream
. + .	stream-of-streams	f	Streamstream × Streamstream → Streamstream
. ++ .	list-dup	f	List × Elem → List
. ++ .	stream-of-streams	f	Streamlist × Stream → Streamlist
. +1	nat-basic	f	Nat → Nat
. +2 .	list	f	Elem × Elem → List
. +l .	stream-of-streams	f	Stream × Stream → Streamlist
. - .	nat	pf	Nat × Nat → Nat with λ n, m. n ≥ m
. -1	nat-basic	pf	Nat → Nat with λ n. n ≠ 0
. -1l .	list-del	f	List × Elem → List
. -1l .	stream-of-streams	f	Streamlist × Stream → Streamlist
. -l .	list-del	f	List × Elem → List
. -l .	stream-of-streams	f	Streamlist × Stream → Streamlist
. -p .	list-del	f	List × Nat → List
. -p .	stream-of-streams	f	Streamlist × Nat → Streamlist
. .butlast	list-last	pf	List → List with λ x. x ≠ []
. .butlast	stream-of-streams	pf	Streamlist → Streamlist with λ x. x ≠ []
. .f	stream-basic	pf	Stream → Nat → Elem with λ σ. λ m. ∃ nf. σ = ⌜nf⌝
. .f	stream-of-streams	pf	Streamstream → Nat → Stream with λ σ. λ m. ∃ nf. σ = ⌜nf⌝
. .head	list-data	pf	List → Elem with λ x. x ≠ []
. .head	stream-of-streams	pf	Streamlist → Stream with λ x. x ≠ []
. .l	stream-basic	pf	Stream → List with λ σ. finp(σ)
. .l	stream-of-streams	pf	Streamstream → Streamlist with λ σ. finp(σ)
. .last	list-last	pf	List → Elem with λ x. x ≠ []
. .last	stream-of-streams	pf	Streamlist → Stream with λ x. x ≠ []
. .n	nat-inf	pf	Natinf → Nat with λ n∞. n∞ ≠ ∞
. .tail	list-data	pf	List → List with λ x. x ≠ []
. .tail	stream-of-streams	pf	Streamlist → Streamlist with λ x. x ≠ []
. < .	nat-basic	p	Nat × Nat
. < .	list-data	p	List × List
. < .	nat-inf	p	Natinf × Natinf
. < .	stream-of-streams	p	Streamlist × Streamlist
. > .	nat	p	Nat × Nat
. [ . ]	list-getput	pf	List × Nat → Elem with λ x, n. n < # x
. [ . ]	list-getput	pf	List × Nat × Elem → List with λ x, n, a. n < # x
. [ . ]	stream	pf	Stream × Nat → Elem with λ σ, n. finp(σ) → ⌜n⌝ < # σ
. [ . ]	stream	pf	Stream × Nat × Elem → Stream with λ σ, n, a. finp(σ) → ⌜n⌝ < # σ
. [ . ]	stream-of-streams	pf	Streamlist × Nat → Stream with λ x, n. n < # x
. [ . ]	stream-of-streams	pf	Streamlist × Nat × Stream → Streamlist with λ x, n, a. n < # x
. [ . ]	stream-of-streams	pf	Streamstream × Nat → Stream with λ σ, n. finp(σ) → ⌜n⌝ < # σ
. [ . ]	stream-of-streams	pf	Streamstream × Nat × Stream → Streamstream with λ σ, n, a. finp(σ) → ⌜n⌝ < # σ
. ∈ .	list	p	Elem × List
. ∈ .	stream-of-streams	p	Stream × Streamlist
. ≤ .	nat	p	Nat × Nat
. ≥ .	nat	p	Nat × Nat
. ⊑ .	list-last	p	List × List
. ⊑ .	stream	p	Stream × Stream
. ⊑ .	stream-of-streams	p	Streamlist × Streamlist
. ⊑ .	stream-of-streams	p	Streamstream × Streamstream
. ⊒ .	list-last	p	List × List
. ⊒ .	stream-of-streams	p	Streamlist × Streamlist
. from .	stream	f	(Nat → Elem) × Nat → Nat → Elem
. from .	stream-of-streams	f	(Nat → Stream) × Nat → Nat → Stream
. from .	stream	pf	Stream × Nat → Stream with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ
. from .	stream	pf	List × Nat → List with λ x, n. n ≤ # x
. from .	stream-of-streams	pf	Streamstream × Nat → Streamstream with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ
. from .	stream-of-streams	pf	Streamlist × Nat → Streamlist with λ x, n. n ≤ # x
. to .	stream	f	(Nat → Elem) × Nat → List
. to .	stream-of-streams	f	(Nat → Stream) × Nat → Streamlist
. to .	stream	pf	Stream × Nat → Stream with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ
. to .	stream	pf	List × Nat → List with λ x, n. n ≤ # x
. to .	stream-of-streams	pf	Streamstream × Nat → Streamstream with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ
. to .	stream-of-streams	pf	Streamlist × Nat → Streamlist with λ x, n. n ≤ # x
. to∞ .	stream	pf	Stream × Natinf → Stream with λ σ, n∞. finp(σ) → n∞ < # σ ∨ n∞ = # σ
. to∞ .	stream-of-streams	pf	Streamstream × Natinf → Streamstream with λ σ, n∞. finp(σ) → n∞ < # σ ∨ n∞ = # σ
[]	list-data	c	List
[]	stream	c	Stream
[]	stream-of-streams	c	Streamlist
[]	stream-of-streams	c	Streamstream
σ	streamseq-mon-lim	v	Stream
σσ	streamseq-mon-lim	v	Streamstream
∞	nat-inf	c	Natinf
⌜ . ⌝	stream-basic	f	List → Stream
⌜ . ⌝	stream-basic	f	(Nat → Elem) → Stream
⌜ . ⌝	nat-inf	f	Nat → Natinf
⌜ . ⌝	stream-of-streams	f	Streamlist → Streamstream
⌜ . ⌝	stream-of-streams	f	(Nat → Stream) → Streamstream
Elem	elem	s
List	list-data	s
Nat	nat-basic	s
Natinf	nat-inf	s
Stream	stream-basic	s
Streamlist	stream-of-streams	s
Streamstream	stream-of-streams	s
butlastn	list-last	pf	Nat × List → List with λ n, x. n ≤ # x
butlastn	stream-of-streams	pf	Nat × Streamlist → Streamlist with λ n, x. n ≤ # x
disj	list-dup	p	List × List
disj	stream-of-streams	p	Streamlist × Streamlist
dups	list-dup	p	List
dups	stream-of-streams	p	Streamlist
f	streamseq-mon-lim	v	Stream → Stream
fillfirst	list-last	f	Nat × Elem × List → List
fillfirst	stream-of-streams	f	Nat × Stream × Streamlist → Streamlist
finp	stream-basic	p	Stream
finp	stream-of-streams	p	Streamstream
firstn	list-del	pf	Nat × List → List with λ n, x. n ≤ # x
firstn	stream-of-streams	pf	Nat × Streamlist → Streamlist with λ n, x. n ≤ # x
frome	list-del	f	List × Elem → List
frome	stream-of-streams	f	Streamlist × Stream → Streamlist
hd	stream	pf	Stream → Elem with λ σ. σ ≠ []
hd	stream-of-streams	pf	Streamstream → Stream with λ σ. σ ≠ []
lastn	list-del	pf	Nat × List → List with λ n, x. n ≤ # x
lastn	stream-of-streams	pf	Nat × Streamlist → Streamlist with λ n, x. n ≤ # x
lf	streamseq-mon-lim	v	Nat → List
lim	streamseq-mon-lim	pf	Streamstream → Stream with λ σσ. mon(σσ) ∧ σσ ≠ []
m	streamseq-mon-lim	v	Nat
min	nat-inf	f	Natinf × Natinf → Natinf
mklist	list-last	f	Elem × Nat → List
mklist	stream-of-streams	f	Stream × Nat → Streamlist
mon	streamseq-mon-lim	p	Streamstream
n	streamseq-mon-lim	v	Nat
nf	streamseq-mon-lim	v	Nat → Elem
pos	list-del	f	Elem × List → Nat
pos	stream-of-streams	f	Stream × Streamlist → Nat
restn	list-del	pf	Nat × List → List with λ n, x. n ≤ # x
restn	stream-of-streams	pf	Nat × Streamlist → Streamlist with λ n, x. n ≤ # x
rev	list-last	f	List → List
rev	stream-of-streams	f	Streamlist → Streamlist
rmdup	list-dup	f	List → List
rmdup	stream-of-streams	f	Streamlist → Streamlist
sublist	list-del	pf	Nat × Nat × List → List with λ n, m, x. n + m ≤ # x
sublist	stream-of-streams	pf	Nat × Nat × Streamlist → Streamlist with λ n, m, x. n + m ≤ # x
tl	stream	pf	Stream → Stream with λ σ. σ ≠ []
tl	stream-of-streams	pf	Streamstream → Streamstream with λ σ. σ ≠ []
x	streamseq-mon-lim	v	List