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Signature symbols in this unit

Symbol	Specification	Kind	Type
# .	list-data	f	List[A] → Nat
# .	stream-old	f	Stream[A] → Natinf
. '	list	f	A → List[A]
. ( . )	list-getput	pf	List[A] × Nat → A with λ x, n. n < # x
. ( . )	stream-old	pf	Stream[A] × Nat → A with λ σ, n. finp(σ) → ⌜n⌝ < # σ
. ( . := . )	list-getput	pf	List[A] × Nat × A → List[A] with λ x, n, a. n < # x
. ( . := . )	stream-old	pf	Stream[A] × Nat × A → Stream[A] with λ σ, n, a. finp(σ) → ⌜n⌝ < # σ
. + .	nat-basic	f	Nat × Nat → Nat
. + .	list-data	f	A × List[A] → List[A]
. + .	list	f	List[A] × List[A] → List[A]
. + .	list	f	List[A] × A → List[A]
. + .	nat-inf	f	Natinf × Natinf → Natinf
. + .	stream-old	f	A × Stream[A] → Stream[A]
. + .	stream-old	f	Stream[A] × Stream[A] → Stream[A]
. ++ .	list-dup	f	List[A] × A → List[A]
. +1	nat-basic	f	Nat → Nat
. +2 .	list	f	A × A → List[A]
. - .	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[A] × A → List[A]
. -l .	list-del	f	List[A] × A → List[A]
. -p .	list-del	f	List[A] × Nat → List[A]
. < .	nat-basic	p	Nat × Nat
. < .	list-data	p	List('A) × List('A)
. < .	nat-inf	p	Natinf × Natinf
. > .	nat	p	Nat × Nat
. ∈ .	list	p	'A × List('A)
. ≤ .	nat	p	Nat × Nat
. ≥ .	nat	p	Nat × Nat
. ⊑ .	list-last	p	List('A) × List('A)
. ⊑ .	stream-old	p	Stream('A) × Stream('A)
. ⊒ .	list-last	p	List('A) × List('A)
. butlast	list-last	pf	List[A] → List[A] with λ x. x ≠ []
. distinct	list-dup	f	List[A] → List[A]
. drop ( . )	stream-old	f	(Nat → A) × Nat → Nat → A
. drop ( . )	list-del	pf	List[A] × Nat → List[A] with λ x, n. n ≤ # x
. drop ( . )	stream-old	pf	Stream[A] × Nat → Stream[A] with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ
. dropRight ( . )	list-last	pf	List[A] × Nat → List[A] with λ x, n. n ≤ # x
. f	stream-basic	pf	Stream[A] → Nat → A with λ σ. λ m. ∃ nf. σ = ⌜nf⌝
. foldLeft ( . )	list	f	List[A] × B × (B × A → B) → B
. head	list-data	pf	List[A] → A with λ x. x ≠ []
. indexOf ( . )	list-del	f	List[A] × A → Nat
. l	stream-basic	pf	Stream[A] → List[A] with λ σ. finp(σ)
. last	list-last	pf	List[A] → A with λ x. x ≠ []
. map ( . )	list	f	List[A] × (A → B) → List[B]
. n	nat-inf	pf	Natinf → Nat with λ n∞. n∞ ≠ ∞
. sublist ( . )	list-del	pf	List[A] × Nat × Nat → List[A] with λ x, n, m. n + m ≤ # x
. tail	list-data	pf	List[A] → List[A] with λ x. x ≠ []
. take ( . )	stream-old	f	(Nat → A) × Nat → List[A]
. take ( . )	list-del	pf	List[A] × Nat → List[A] with λ x, n. n ≤ # x
. take ( . )	stream-old	pf	Stream[A] × Nat → Stream[A] with λ σ, n. finp(σ) → ⌜n⌝ < # σ ∨ ⌜n⌝ = # σ
. take ( . )	stream-old	pf	Stream[A] × Natinf → Stream[A] with λ σ, n∞. finp(σ) → n∞ < # σ ∨ n∞ = # σ
. takeRight ( . )	list-del	pf	List[A] × Nat → List[A] with λ x, n. n ≤ # x
[]	list-data	c	List[A]
[]	stream-old	c	Stream[A]
σ	stream-old	v	Stream[A]
∞	nat-inf	c	Natinf
⌜ . ⌝	stream-basic	f	List[A] → Stream[A]
⌜ . ⌝	stream-basic	f	(Nat → A) → Stream[A]
⌜ . ⌝	nat-inf	f	Nat → Natinf
List	list-data	s
Nat	nat-basic	s
Natinf	nat-inf	s
Stream	stream-basic	s
a	stream-old	v	A
disj	list-dup	p	List('A) × List('A)
dups	list-dup	p	List('A)
fillfirst	list-last	f	Nat × A × List[A] → List[A]
finp	stream-basic	p	Stream('A)
frome	list-del	f	List[A] × A → List[A]
hd	stream-old	pf	Stream[A] → A with λ σ. σ ≠ []
m	stream-old	v	Nat
min	nat-inf	f	Natinf × Natinf → Natinf
mklist	list-last	f	A × Nat → List[A]
n	stream-old	v	Nat
n∞	stream-old	v	Natinf
nf	stream-old	v	Nat → A
rev	list-last	f	List[A] → List[A]
tl	stream-old	pf	Stream[A] → Stream[A] with λ σ. σ ≠ []
x	stream-old	v	List[A]
y	stream-old	v	List[A]
z	stream-old	v	List[A]