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Signature symbols in this unit

Symbol	Specification	Kind	Type
# .	list-data	f	list → nat
# .	address-store	f	address-store → nat
# .	laddress-list	f	laddress-list → nat
# .	address-store	f	address-set → nat
# .	store	f	store → nat
# .	address-list-set	f	address-list → nat
# .	nat-store	f	nat-set → nat
# .	buffer	f	buffer → nat
. % .	nat-div	pf	nat × nat → nat with λ n, m. m ≠ 0
. '	address-list-set	f	address → address-list
. '	list	f	elem → list
. '	laddress-list	f	laddress → laddress-list
. * .	nat-mult	f	nat × nat → nat
. + .	nat-basic	f	nat × nat → nat
. + .	list-data	f	elem × list → list
. + .	address-list-set	f	address-list × address → address-list
. + .	list	f	list × list → list
. + .	address-list-set	f	address-list × address-list → address-list
. + .	list	f	list × elem → list
. + .	address-list-set	f	address × address-list → address-list
. + .	laddress-list	f	laddress × laddress-list → laddress-list
. + .	buffer	f	buffer × buffer → buffer
. + .	laddress-list	f	laddress-list × laddress-list → laddress-list
. + .	laddress-list	f	laddress-list × laddress → laddress-list
. ++ .	address-store	f	address-set × address → address-set
. ++ .	list-dup	f	list × elem → list
. ++ .	address-list-set	f	address-list × address → address-list
. ++ .	laddress-list	f	laddress-list × laddress → laddress-list
. ++ .	nat-store	f	nat-set × nat → nat-set
. +1	nat-basic	f	nat → nat
. +2 .	list	f	elem × elem → list
. +2 .	laddress-list	f	laddress × laddress → laddress-list
. +2 .	address-list-set	f	address × address → address-list
. - .	nat	pf	nat × nat → nat with λ n, m. n ≥ m
. -- .	nat-store	f	store × nat → store
. -- .	address-store	f	address-store × address → address-store
. -- .	nat-store	f	nat-set × nat → nat-set
. -- .	address-store	f	address-set × address → address-set
. -1	nat-basic	pf	nat → nat with λ n. n ≠ 0
. -1l .	list-del	f	list × elem → list
. -1l .	address-list-set	f	address-list × address → address-list
. -1l .	laddress-list	f	laddress-list × laddress → laddress-list
. -l .	list-del	f	list × elem → list
. -l .	laddress-list	f	laddress-list × laddress → laddress-list
. -l .	address-list-set	f	address-list × address → address-list
. -p .	address-list-set	f	address-list × nat → address-list
. -p .	list-del	f	list × nat → list
. -p .	laddress-list	f	laddress-list × nat → laddress-list
. .butlast	address-list-set	pf	address-list → address-list with λ ax. ax ≠ []
. .butlast	list-last	pf	list → list with λ x. x ≠ []
. .butlast	laddress-list	pf	laddress-list → laddress-list with λ lax. lax ≠ []
. .butmax	nat-set	pf	nat-set → nat-set with λ ns. ns ≠ ∅
. .butmin	nat-set	pf	nat-set → nat-set with λ ns. ns ≠ ∅
. .flashsize	ablock-store-inv	f	elem → nat
. .flashsize	ablock-store-inv	f	list → nat
. .head	address-list-set	pf	address-list → address with λ ax. ax ≠ []
. .head	list-data	pf	list → elem with λ x. x ≠ []
. .head	laddress-list	pf	laddress-list → laddress with λ lax. lax ≠ []
. .ladrlist	ablock	f	ablock → laddress-list
. .ladrlist:= .	ablock	f	ablock × laddress-list → ablock
. .last	address-list-set	pf	address-list → address with λ ax. ax ≠ []
. .last	laddress-list	pf	laddress-list → laddress with λ lax. lax ≠ []
. .last	list-last	pf	list → elem with λ x. x ≠ []
. .list	ablock	f	ablock → list
. .list:= .	ablock	f	ablock × list → ablock
. .lnum	address-data	f	address → nat
. .lnum:= .	address-data	f	address × nat → address
. .map ( . )	address-store	f	address-store × (address × elem → elem) → address-store
. .map ( . )	ablock-store	f	store × (ablock → ablock) → store
. .map ( . )	address-store	f	address-store × (elem → elem) → address-store
. .map ( . )	ablock-store	f	store × (nat × ablock → ablock) → store
. .max	nat-set	pf	nat-set → nat with λ ns. ns ≠ ∅
. .min	nat-set	pf	nat-set → nat with λ ns. ns ≠ ∅
. .off	laddress	f	laddress → nat
. .off:= .	laddress	f	laddress × nat → laddress
. .pos	address-data	f	address → nat
. .pos:= .	address-data	f	address × nat → address
. .ref-size	ablock	f	ablock → nat
. .ref-size:= .	ablock	f	ablock × nat → ablock
. .size	laddress	f	laddress → nat
. .size	address-data	f	address → nat
. .size:= .	address-data	f	address × nat → address
. .size:= .	laddress	f	laddress × nat → laddress
. .tail	address-list-set	pf	address-list → address-list with λ ax. ax ≠ []
. .tail	laddress-list	pf	laddress-list → laddress-list with λ lax. lax ≠ []
. .tail	list-data	pf	list → list with λ x. x ≠ []
. .to-adr ( . )	ablock-store-inv	f	laddress-list × nat → address-list
. .toSet	address-list-set	f	address-list → address-set
. / .	nat-div	pf	nat × nat → nat with λ n, m. m ≠ 0
. < .	nat-basic	p	nat × nat
. < .	list-data	p	list × list
. < .	address-list-set	p	address-list × address-list
. < .	laddress-list	p	laddress-list × laddress-list
. < .	nat-set	p	nat-set × nat
. < .	nat-set	p	nat × nat-set
. =○refsize .	ablock-store-inv	p	store × store
. > .	nat	p	nat × nat
. [ . ]	address-store	pf	address-store × address → elem with λ ast, adr. adr ∈ ast
. [ . ]	address-list-set	pf	address-list × nat × address → address-list with λ ax, n, adr. n < # ax
. [ . ]	address-list-set	pf	address-list × nat → address with λ ax, n. n < # ax
. [ . ]	ablock-store	f	store × nat × ablock → store
. [ . ]	buffer	pf	buffer × nat × data → buffer with λ buf, n, d. n < # buf
. [ . ]	buffer	pf	buffer × nat → data with λ buf, n. n < # buf
. [ . ]	ablock-store	pf	store × nat → ablock with λ st, n. n ∈ st
. [ . ]	laddress-list	pf	laddress-list × nat × laddress → laddress-list with λ lax, n, ladr. n < # lax
. [ . ]	ablock-store-inv	f	store × address → elem
. [ . ]	laddress-list	pf	laddress-list × nat → laddress with λ lax, n. n < # lax
. [ . ]	address-store	f	address-store × address × elem → address-store
. [ . ]	list-del	pf	list × nat × elem → list with λ x, n, a. n < # x
. [ . ]	list-del	pf	list × nat → elem with λ x, n. n < # x
. \ .	nat-store	f	nat-set × nat-set → nat-set
. \ .	nat-store	f	store × nat-set → store
. \ .	address-store	f	address-set × address-set → address-set
. \ .	address-store	f	address-store × address-set → address-store
. \| .	address-store	f	address-store × address-set → address-store
. \| .	nat-store	f	store × nat-set → store
. ∈ .	address-store	p	elem × address-store
. ∈ .	list	p	elem × list
. ∈ .	address-store	p	address × address-store
. ∈ .	laddress-list	p	laddress × laddress-list
. ∈ .	ablock-store-inv	p	address × store
. ∈ .	nat-store	p	nat × store
. ∈ .	address-store	p	address × address-set
. ∈ .	nat-store	p	nat × nat-set
. ∈ .	address-list-set	p	address × address-list
. ∈ .	ablock-store	p	ablock × store
. ∈ .	buffer	p	data × buffer
. ∩ .	nat-store	f	nat-set × nat-set → nat-set
. ∩ .	address-store	f	address-set × address-set → address-set
. ∪ .	nat-store	f	nat-set × nat-set → nat-set
. ∪ .	address-store	f	address-set × address-set → address-set
. ≤ .	nat	p	nat × nat
. ≥ .	nat	p	nat × nat
. ⊆ .	address-store	p	address-store × address-store
. ⊆ .	store	p	store × store
. ⊆ .	address-store	p	address-set × address-set
. ⊆ .	nat-store	p	nat-set × nat-set
. ⊑ .	ablock-store-inv	p	store × store
. ⊑ .	list-last	p	list × list
. ⊑ .	laddress-list	p	laddress-list × laddress-list
. ⊑ .	address-list-set	p	address-list × address-list
. ⊒ .	address-list-set	p	address-list × address-list
. ⊒ .	list-last	p	list × list
. ⊒ .	laddress-list	p	laddress-list × laddress-list
. ⊕ .	store+set	f	store × store → store
. ⊕ .	address-store	f	address-store × address-store → address-store
@	laddress	f	nat × nat → laddress
@	address-data	f	nat × nat × nat → address
[]	list-data	c	list
[]	laddress-list	c	laddress-list
[]	address-list-set	c	address-list
{ . }	address-store	f	address → address-set
{ . }	nat-store	f	nat → nat-set
∅	store	c	store
∅	address-store	c	address-store
∅	nat-store	c	nat-set
∅	address-store	c	address-set
EB_PAGE_SIZE	eraseblock	c	nat
LEB_SIZE	eraseblock	c	nat
PAGES_PER_LEB	eraseblock	c	nat
PAGES_PER_PEB	eraseblock	c	nat
PEB_SIZE	eraseblock	c	nat
a	elem	v	elem
a0	address-store	v	elem
ablock	ablock	s
ablock	ablock	v	ablock
ablock0	ablock-store	v	ablock
ablock1	ablock-store	v	ablock
ablock2	ablock-store	v	ablock
address	address-data	s
address-list	address-list-set	s
address-set	address-store	s
address-store	address-store	s
addresselemf	address-store	v	address × elem → elem
adr	address-data	v	address
adr0	address	v	address
adr1	address-store	v	address
adr2	address-store	v	address
adr3	address	v	address
adr4	address	v	address
adr5	address	v	address
align↑	align	f	nat × nat → nat
align↓	align	f	nat × nat → nat
as	address-store	v	address-set
as0	address-store	v	address-set
as1	address-store	v	address-set
as2	address-store	v	address-set
ast	address-store	v	address-store
ast0	address-store	v	address-store
ast1	address-store	v	address-store
ast2	address-store	v	address-store
ax	address-list-set	v	address-list
ax0	address-list-set	v	address-list
ax1	address-list-set	v	address-list
ay	address-list-set	v	address-list
az	address-list-set	v	address-list
b	elem	v	elem
buf	buffer	v	buffer
buf0	buffer	v	buffer
buf1	buffer	v	buffer
buf2	buffer	v	buffer
buffer	buffer	s
butlastn	address-list-set	pf	nat × address-list → address-list with λ n, ax. n ≤ # ax
butlastn	laddress-list	pf	nat × laddress-list → laddress-list with λ n, lax. n ≤ # lax
butlastn	list-last	pf	nat × list → list with λ n, x. n ≤ # x
c	elem	v	elem
cmp	buffer	pp	buffer × data × nat × nat with λ buf, d, m, n. m + n ≤ # buf
cmp	buffer	pp	buffer × nat × buffer × nat × nat with λ buf, m, buf0, m0, n. m + n ≤ # buf ∧ m0 + n ≤ # buf0
copy	buffer	pf	buffer × nat × buffer × nat × nat → buffer with λ buf, m, buf0, m0, n. m + n ≤ # buf ∧ m0 + n ≤ # buf0
d	data	v	data
d0	data	v	data
d1	data	v	data
d2	data	v	data
data	data	s
dataf	ablock-store	v	ablock → ablock
disj	address-list-set	p	address-list × address-list
disj	laddress-list	p	laddress-list × laddress-list
disj	list-dup	p	list × list
dom .	nat-store	f	store → nat-set
dom .	address-store	f	address-store → address-set
dropn	list-prefixn	f	nat × list → list
dropn	laddress-list	f	nat × laddress-list → laddress-list
dropn	address-list-set	f	nat × address-list → address-list
dups	address-list-set	p	address-list
dups	list-dup	p	list
dups	laddress-list	p	laddress-list
elem	elem	s
elemdataf	ablock-store	v	nat × ablock → ablock
elemf	address-store	v	elem → elem
empty	buffer	c	data
emptyleb	eraseblock	c	buffer
emptypage	eraseblock	c	buffer
emptypeb	eraseblock	c	buffer
fill	buffer	pf	buffer × data × nat × nat → buffer with λ buf, d, n, m. n + m ≤ # buf
fill	buffer	f	buffer × data → buffer
fillfirst	list-last	f	nat × elem × list → list
fillfirst	address-list-set	f	nat × address × address-list → address-list
fillfirst	laddress-list	f	nat × laddress × laddress-list → laddress-list
firstn	address-list-set	pf	nat × address-list → address-list with λ n, ax. n ≤ # ax
firstn	laddress-list	pf	nat × laddress-list → laddress-list with λ n, lax. n ≤ # lax
firstn	list-del	pf	nat × list → list with λ n, x. n ≤ # x
frome	list-del	f	list × elem → list
frome	laddress-list	f	laddress-list × laddress → laddress-list
frome	address-list-set	f	address-list × address → address-list
id○	buffer	p	buffer × buffer × nat
idrange	buffer	pp	buffer × nat × nat with λ buf, m, n. m + n ≤ # buf
inv	ablock-store-inv	p	store
inv	ablock-store-inv	p	ablock
inv-flashsize	ablock-store-inv	p	list × laddress-list
is-aligned	align	p	nat × nat
isempty	eraseblock	p	buffer × nat × nat
isempty	eraseblock	p	buffer
laddress	laddress	s
laddress-list	laddress-list	s
ladr	laddress	v	laddress
ladr0	laddress-list	v	laddress
ladr1	laddress-list	v	laddress
ladr2	laddress-list	v	laddress
lastn	address-list-set	pf	nat × address-list → address-list with λ n, ax. n ≤ # ax
lastn	laddress-list	pf	nat × laddress-list → laddress-list with λ n, lax. n ≤ # lax
lastn	list-del	pf	nat × list → list with λ n, x. n ≤ # x
lax	laddress-list	v	laddress-list
lax0	laddress-list	v	laddress-list
lax1	laddress-list	v	laddress-list
lax2	laddress-list	v	laddress-list
lax3	laddress-list	v	laddress-list
list	list-data	s
m	nat-basic	v	nat
m0	address-data	v	nat
m1	address-data	v	nat
m2	address-data	v	nat
m3	address-data	v	nat
m4	address-data	v	nat
max	min-max	f	nat × nat → nat
min	min-max	f	nat × nat → nat
mkblock	ablock	f	list × laddress-list × nat → ablock
mkbuf	buffer	f	nat → buffer
mkempbuf	buffer	f	nat → buffer
mklist	list-last	f	elem × nat → list
mklist	laddress-list	f	laddress × nat → laddress-list
mklist	address-list-set	f	address × nat → address-list
mkzbuf	buffer	f	nat → buffer
n	nat-basic	v	nat
n0	nat-basic	v	nat
n1	nat-basic	v	nat
n2	nat-store	v	nat
n3	nat-store	v	nat
n4	nat-store	v	nat
nat	nat-basic	s
nat-set	nat-store	s
nodes	ablock-nodes	f	store → address-store
ns	nat-store	v	nat-set
ns0	nat-store	v	nat-set
ns1	nat-store	v	nat-set
ns2	nat-store	v	nat-set
pos	list-del	f	elem × list → nat
pos	address-list-set	f	address × address-list → nat
pos	laddress-list	f	laddress × laddress-list → nat
prefixn	list-prefixn	f	nat × list → list
prefixn	address-list-set	f	nat × address-list → address-list
prefixn	laddress-list	f	nat × laddress-list → laddress-list
range=	buffer	p	buffer × nat × buffer × nat × nat
remove-refsize0	ablock-store-inv	f	store → store
resize	buffer	f	buffer × nat → buffer
restn	address-list-set	pf	nat × address-list → address-list with λ n, ax. n ≤ # ax
restn	list-del	pf	nat × list → list with λ n, x. n ≤ # x
restn	laddress-list	pf	nat × laddress-list → laddress-list with λ n, lax. n ≤ # lax
rev	buffer	pf	buffer × nat → buffer with λ buf, n. n ≤ # buf
rev	list-last	f	list → list
rev	address-list-set	f	address-list → address-list
rev	laddress-list	f	laddress-list → laddress-list
rev	buffer	f	buffer → buffer
rmdup	list-dup	f	list → list
rmdup	address-list-set	f	address-list → address-list
rmdup	laddress-list	f	laddress-list → laddress-list
slice	list-prefixn	f	nat × nat × list → list
slice	laddress-list	f	nat × nat × laddress-list → laddress-list
slice	address-list-set	f	nat × nat × address-list → address-list
splice	buffer	f	buffer × nat × buffer × nat × nat → buffer
st	store	v	store
st0	store	v	store
st1	store	v	store
st2	store	v	store
store	store	s
subarray	buffer	pf	buffer × nat × nat → buffer with λ buf, m, n. m + n ≤ # buf
sublist	address-list-set	pf	nat × nat × address-list → address-list with λ n, m, ax. n + m ≤ # ax
sublist	laddress-list	pf	nat × nat × laddress-list → laddress-list with λ n, m, lax. n + m ≤ # lax
sublist	list-del	pf	nat × nat × list → list with λ n, m, x. n + m ≤ # x
x	list-data	v	list
x0	list-data	v	list
x1	list-data	v	list
y	list-data	v	list
z	list-data	v	list
zero	buffer	c	data