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Signature symbols in this unit

Symbol	Specification	Kind	Type
# .	set-basic	f	Set('a) → Nat
# .	map	f	Map('a, 'b) → Nat
. + .	nat-basic	f	Nat × Nat → Nat
. ++ .	set-basic	f	Set('a) × 'a → Set('a)
. +1	nat-basic	f	Nat → Nat
. - .	nat	pf	Nat × Nat → Nat with λ n, m. n ≥ m
. -- .	set-union	f	Set('a) × 'a → Set('a)
. -- .	map	f	Map('a, 'b) × 'a → Map('a, 'b)
. -1	nat-basic	pf	Nat → Nat with λ n. n ≠ 0
. .butmax	oset	pf	Set(Tord) → Set(Tord) with λ s. s ≠ ∅
. .butmin	oset	pf	Set(Tord) → Set(Tord) with λ s. s ≠ ∅
. .butmin	omap	pf	Map(Tord, 'b) → Map(Tord, 'b) with λ st. st ≠ ∅
. .filter ( . )	set-union	f	Set('a) × ('a → Bool) → Set('a)
. .keys	omap	f	Map(Tord, 'b) → Set(Tord)
. .map ( . )	set-union	f	Set('a) × ('a → 'b) → Set('b)
. .max	oset	pf	Set(Tord) → Tord with λ s. s ≠ ∅
. .min	oset	pf	Set(Tord) → Tord with λ s. s ≠ ∅
. .min	omap	pf	Map(Tord, 'b) → Tord with λ st. st ≠ ∅
. < .	nat-basic	p	Nat × Nat
. < .	tord	p	Tord × Tord
. < .	oset	p	Tord × Set(Tord)
. < .	oset	p	Set(Tord) × Tord
. > .	nat	p	Nat × Nat
. [ . := . ]	map	f	Map('a, 'b) × 'a × 'b → Map('a, 'b)
. [ . ]	map	pf	Map('a, 'b) × 'a → 'b with λ st, a. a ∈ st
. \ .	set-union	f	Set('a) × Set('a) → Set('a)
. ∈ .	set-basic	p	'a × Set('a)
. ∈ .	map	p	'a × Map('a, 'b)
. ∩ .	set-union	f	Set('a) × Set('a) → Set('a)
. ∪ .	set-union	f	Set('a) × Set('a) → Set('a)
. ≤ .	nat	p	Nat × Nat
. ≥ .	nat	p	Nat × Nat
. ⊆ .	set-basic	p	Set('a) × Set('a)
. ⊆ .	map	p	Map('a, 'b) × Map('a, 'b)
{ . }	set-union	f	'a → Set('a)
∅	set-basic	c	Set('a)
∅	map	c	Map('a, 'b)
Map	map	s
Nat	nat-basic	s
Set	set-basic	s
Tord	tord	s
a	omap	v	Tord
d	omap	v	'b
disjoint	set-union	p	Set('a) × Set('a)
s	omap	v	Set(Tord)
st	omap	v	Map(Tord, 'b)