:: MODELC_1 semantic presentation

REAL is set
NAT is non empty V24() V25() V26() V38() V43() V44() Element of bool REAL
bool REAL is non empty set
{} is Function-like functional empty V24() V25() V26() V28() V29() V30() V31() V32() ext-real non positive non negative V38() V43() V45( {} ) V51() V60() set
1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
{{},1} is non empty set
NAT is non empty V24() V25() V26() V38() V43() V44() set
bool NAT is non empty V38() set
bool NAT is non empty V38() set
BOOLEAN is non empty set
0 is Function-like functional empty V24() V25() V26() V28() V29() V30() V31() V32() ext-real non positive non negative V38() V43() V45( {} ) V51() V60() Element of NAT
{0,1} is non empty set
[:1,1:] is non empty set
bool [:1,1:] is non empty set
[:[:1,1:],1:] is non empty set
bool [:[:1,1:],1:] is non empty set
{{}} is non empty trivial V45(1) set
K192() is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
K193() is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
R is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() set
S is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() set
BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() set
BASSIGN + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
S + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
R is set
S is set
BASSIGN is Element of R
S is set
R is set
S is Relation-like Function-like set
dom S is set
S . R is set
BASSIGN is set
S is set
FALSE is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
R is set
S is set
bool S is non empty set
5 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
S is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
5 + S is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
<*(5 + S)*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*0*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*0*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*1*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*1*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ S) ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
2 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
<*2*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*2*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
3 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
<*3*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*3*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
4 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
<*4*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*4*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ S) ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
<*S*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*S*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
len R is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
1 + (len R) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*S*> ^ R) ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
len ((<*S*> ^ R) ^ BASSIGN) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
len BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(1 + (len R)) + (len BASSIGN) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
R ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
len (R ^ BASSIGN) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(len R) + (len BASSIGN) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
len <*S*> is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(len <*S*>) + (len (R ^ BASSIGN)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(len <*S*>) + (len R) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
((len <*S*>) + (len R)) + (len BASSIGN) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
<*S*> ^ (R ^ BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
len (<*S*> ^ (R ^ BASSIGN)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
NAT * is set
S is set
(0) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
5 + 0 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
<*(5 + 0)*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
BASSIGN is non empty set
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is non empty set
BASSIGN is set
BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
5 + BASSIGN is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
<*(5 + BASSIGN)*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
f is non empty set
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*0*> ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
f is non empty set
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(BASSIGN,f) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*1*> ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ BASSIGN) ^ f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
g is non empty set
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*2*> ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
f is non empty set
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*3*> ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
f is non empty set
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(BASSIGN,f) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*4*> ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ BASSIGN) ^ f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
g is non empty set
BASSIGN is non empty set
f is set
S is non empty set
R is non empty set
() is non empty set
the Element of () is Element of ()
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S is set
S is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
5 + S is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
<*(5 + S)*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*0*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*2*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*3*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S,R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*1*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ S) ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(S,R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*4*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ S) ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
((S),(R)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ (S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ (S)) ^ (R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(((S),(R))) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ ((S),(R)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(0) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
5 + 0 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
<*(5 + 0)*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
{S} is functional non empty trivial V45(1) set
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
() \ {S} is Element of bool ()
bool () is non empty set
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*3*> ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*3*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*2*> ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*2*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
g is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(f,g) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ f) ^ g is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(R,BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*1*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ R) ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*0*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
g is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(f,g) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*4*> ^ f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ f) ^ g is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(R,BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*4*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ R) ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
5 + R is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
<*(5 + R)*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is set
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
S . 1 is set
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
S . 1 is set
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(R,BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ R) ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*1*> ^ (R ^ BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
S . 1 is set
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*2*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
S . 1 is set
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*3*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
S . 1 is set
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(R,BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*4*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ R) ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*4*> ^ (R ^ BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
S . 1 is set
R is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
5 + R is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
<*(5 + R)*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
3 + R is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
2 + (3 + R) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
2 + 0 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
1 + R is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
4 + (1 + R) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
4 + 0 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
2 + R is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
3 + (2 + R) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
3 + 0 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
4 + R is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
1 + (4 + R) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
1 + 0 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
S . 1 is set
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len S is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
R is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
5 + R is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
<*(5 + R)*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
len R is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
1 + (len R) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(R,BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ R) ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
len R is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
1 + (len R) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
len BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(1 + (len R)) + (len BASSIGN) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*2*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
len R is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
1 + (len R) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*3*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
len R is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
1 + (len R) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(R,BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*4*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ R) ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
len R is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
1 + (len R) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
len BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(1 + (len R)) + (len BASSIGN) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
BASSIGN is Relation-like Function-like FinSequence-like set
R ^ BASSIGN is Relation-like Function-like FinSequence-like set
f is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() set
g is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len g is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
X is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
h is Relation-like Function-like FinSequence-like set
X ^ h is Relation-like Function-like FinSequence-like set
dom X is Element of bool NAT
len X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
Seg (len X) is Element of bool NAT
len <*0*> is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(s) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ s is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(X ^ h) . 1 is set
X . 1 is set
s1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(s1) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ s1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
len s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(len <*0*>) + (len s) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(<*0*> ^ s1) ^ h is Relation-like Function-like FinSequence-like set
s1 ^ h is Relation-like Function-like FinSequence-like set
<*0*> ^ (s1 ^ h) is Relation-like Function-like FinSequence-like set
len <*4*> is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
s1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(s,s1) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*4*> ^ s is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ s) ^ s1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
s is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
j1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(s,j1) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*4*> ^ s is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ s) ^ j1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
len s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
len s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
1 + (len s) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
(len s1) + (1 + (len s)) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
(len s1) + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
((len s1) + 1) + (len s) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
len (<*4*> ^ s) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(len <*4*>) + (len s) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(len (<*4*> ^ s)) + (len s1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s ^ j1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(s ^ j1) ^ h is Relation-like Function-like FinSequence-like set
j1 ^ h is Relation-like Function-like FinSequence-like set
s ^ (j1 ^ h) is Relation-like Function-like FinSequence-like set
k is Relation-like Function-like FinSequence-like set
s ^ k is Relation-like Function-like FinSequence-like set
(len s) + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
<*4*> ^ (s ^ j1) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ (s ^ j1)) ^ h is Relation-like Function-like FinSequence-like set
<*4*> ^ ((s ^ j1) ^ h) is Relation-like Function-like FinSequence-like set
len (<*4*> ^ s) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
len s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(len <*4*>) + (len s) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(len s) + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
len j1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
((len s) + 1) + (len j1) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
len h is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(((len s) + 1) + (len j1)) + (len h) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
(len j1) + (len h) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
((len s) + 1) + ((len j1) + (len h)) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
k is Relation-like Function-like FinSequence-like set
s ^ k is Relation-like Function-like FinSequence-like set
len (X ^ h) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(len X) + (len h) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(len (<*4*> ^ s)) + (len j1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s ^ s1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*4*> ^ (s ^ s1) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
k is Relation-like Function-like FinSequence-like set
s ^ k is Relation-like Function-like FinSequence-like set
len <*1*> is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
s1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(s,s1) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ s is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ s) ^ s1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
s is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
j1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(s,j1) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ s is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ s) ^ j1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
len s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
len s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
1 + (len s) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
(len s1) + (1 + (len s)) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
(len s1) + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
((len s1) + 1) + (len s) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
len (<*1*> ^ s) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(len <*1*>) + (len s) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(len (<*1*> ^ s)) + (len s1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s ^ j1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(s ^ j1) ^ h is Relation-like Function-like FinSequence-like set
j1 ^ h is Relation-like Function-like FinSequence-like set
s ^ (j1 ^ h) is Relation-like Function-like FinSequence-like set
k is Relation-like Function-like FinSequence-like set
s ^ k is Relation-like Function-like FinSequence-like set
(len s) + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
<*1*> ^ (s ^ j1) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ (s ^ j1)) ^ h is Relation-like Function-like FinSequence-like set
<*1*> ^ ((s ^ j1) ^ h) is Relation-like Function-like FinSequence-like set
len (<*1*> ^ s) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
len s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(len <*1*>) + (len s) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(len s) + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
len j1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
((len s) + 1) + (len j1) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
(((len s) + 1) + (len j1)) + (len h) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
(len j1) + (len h) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
((len s) + 1) + ((len j1) + (len h)) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
k is Relation-like Function-like FinSequence-like set
s ^ k is Relation-like Function-like FinSequence-like set
(len (<*1*> ^ s)) + (len j1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s ^ s1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*1*> ^ (s ^ s1) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
k is Relation-like Function-like FinSequence-like set
s ^ k is Relation-like Function-like FinSequence-like set
len <*3*> is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(s) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*3*> ^ s is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
s1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(s1) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*3*> ^ s1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
len s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(len <*3*>) + (len s) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(<*3*> ^ s1) ^ h is Relation-like Function-like FinSequence-like set
s1 ^ h is Relation-like Function-like FinSequence-like set
<*3*> ^ (s1 ^ h) is Relation-like Function-like FinSequence-like set
len <*2*> is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(s) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*2*> ^ s is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
s1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(s1) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*2*> ^ s1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
len s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(len <*2*>) + (len s) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(<*2*> ^ s1) ^ h is Relation-like Function-like FinSequence-like set
s1 ^ h is Relation-like Function-like FinSequence-like set
<*2*> ^ (s1 ^ h) is Relation-like Function-like FinSequence-like set
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(s) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
5 + s is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
<*(5 + s)*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
1 + (len h) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
1 + 0 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
f is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() set
g is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len g is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
X is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
h is Relation-like Function-like FinSequence-like set
X ^ h is Relation-like Function-like FinSequence-like set
len S is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S,R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ S) ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(BASSIGN,f) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ BASSIGN) ^ f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
BASSIGN ^ f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*1*> ^ (BASSIGN ^ f) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*1*> ^ (S ^ R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
len BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
len S is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
g is Relation-like Function-like FinSequence-like set
S ^ g is Relation-like Function-like FinSequence-like set
X is Relation-like Function-like FinSequence-like set
BASSIGN ^ X is Relation-like Function-like FinSequence-like set
g is Relation-like Function-like FinSequence-like set
S ^ g is Relation-like Function-like FinSequence-like set
g is Relation-like Function-like FinSequence-like set
BASSIGN ^ g is Relation-like Function-like FinSequence-like set
X is Relation-like Function-like FinSequence-like set
S ^ X is Relation-like Function-like FinSequence-like set
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S,R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*4*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ S) ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(BASSIGN,f) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*4*> ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ BASSIGN) ^ f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
BASSIGN ^ f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*4*> ^ (BASSIGN ^ f) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
<*4*> ^ (S ^ R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
len BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
len S is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
g is Relation-like Function-like FinSequence-like set
S ^ g is Relation-like Function-like FinSequence-like set
X is Relation-like Function-like FinSequence-like set
BASSIGN ^ X is Relation-like Function-like FinSequence-like set
g is Relation-like Function-like FinSequence-like set
S ^ g is Relation-like Function-like FinSequence-like set
g is Relation-like Function-like FinSequence-like set
BASSIGN ^ g is Relation-like Function-like FinSequence-like set
X is Relation-like Function-like FinSequence-like set
S ^ X is Relation-like Function-like FinSequence-like set
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
S . 1 is set
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
S . 1 is set
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
S . 1 is set
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
S . 1 is set
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
S . 1 is set
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(f) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*2*> ^ f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
g is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(g) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*2*> ^ g is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
X is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(X) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*3*> ^ X is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
h is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(h) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*3*> ^ h is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*2*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(R,f) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ R) ^ f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
g is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(BASSIGN,g) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ BASSIGN) ^ g is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
X is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
s is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(X,s) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*4*> ^ X is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ X) ^ s is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
h is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
s1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(h,s1) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*4*> ^ h is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ h) ^ s1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(R,BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ R) ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(R,BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*4*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ R) ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(f,R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ f) ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
g is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(g,BASSIGN) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ g is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ g) ^ BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
s is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
X is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(s,X) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*4*> ^ s is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ s) ^ X is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
s1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
h is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(s1,h) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*4*> ^ s1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ s1) ^ h is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
((S)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*3*> ^ (S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
((S),(S)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ (S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ (S)) ^ (S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(R,(S)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ R) ^ (S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
((S),(S)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*4*> ^ (S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ (S)) ^ (S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S . 1 is set
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(R,(S)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*4*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ R) ^ (S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len S is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len (S) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
((S)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ (S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
1 + (len (S)) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
((S)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*2*> ^ (S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
1 + (len (S)) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
((S)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*3*> ^ (S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
1 + (len (S)) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len S is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len (S) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len (S) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(len (S)) + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
((S),(S)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ (S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ (S)) ^ (S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
1 + (len (S)) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
(1 + (len (S))) + (len (S)) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
(len (S)) + ((len (S)) + 1) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
((S),(S)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*4*> ^ (S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ (S)) ^ (S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
1 + (len (S)) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
(1 + (len (S))) + (len (S)) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
(len (S)) + ((len (S)) + 1) is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
S is set
(0) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
5 + 0 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
<*(5 + 0)*> is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
{ b₁ where b₁ is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT : b₁ is () } is set
bool () is non empty set
R is set
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
() is Element of bool ()
S is ()
the of S is Element of bool the carrier of S
the carrier of S is set
bool the carrier of S is non empty set
[:(), the of S:] is set
bool [:(), the of S:] is non empty set
[:(), the carrier of S:] is set
bool [:(), the carrier of S:] is non empty set
S is ()
the of S is Element of bool the carrier of S
the carrier of S is set
bool the carrier of S is non empty set
[:(), the of S:] is set
bool [:(), the of S:] is non empty set
[:(), the carrier of S:] is set
bool [:(), the carrier of S:] is non empty set
S is ()
the of S is Element of bool the carrier of S
the carrier of S is set
bool the carrier of S is non empty set
[:(), the of S:] is set
bool [:(), the of S:] is non empty set
[:(), the carrier of S:] is set
bool [:(), the carrier of S:] is non empty set
X is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
g is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
g + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
BASSIGN is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
BASSIGN . X is set
R is Relation-like () -defined the of S -valued Function-like quasi_total Element of bool [:(), the of S:]
R . X is set
the Compl of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
[: the carrier of S, the carrier of S:] is set
bool [: the carrier of S, the carrier of S:] is non empty set
f is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
(X) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f . (X) is set
the Compl of S . (f . (X)) is set
the L_meet of S is Relation-like [: the carrier of S, the carrier of S:] -defined the carrier of S -valued Function-like quasi_total Element of bool [:[: the carrier of S, the carrier of S:], the carrier of S:]
[:[: the carrier of S, the carrier of S:], the carrier of S:] is set
bool [:[: the carrier of S, the carrier of S:], the carrier of S:] is non empty set
(X) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f . (X) is set
(X) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f . (X) is set
the L_meet of S . ((f . (X)),(f . (X))) is set
[(f . (X)),(f . (X))] is set
{(f . (X)),(f . (X))} is non empty set
{(f . (X))} is non empty trivial V45(1) set
{{(f . (X)),(f . (X))},{(f . (X))}} is non empty set
the L_meet of S . [(f . (X)),(f . (X))] is set
the of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
the of S . (f . (X)) is set
the of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
the of S . (f . (X)) is set
the of S is Relation-like [: the carrier of S, the carrier of S:] -defined the carrier of S -valued Function-like quasi_total Element of bool [:[: the carrier of S, the carrier of S:], the carrier of S:]
the of S . ((f . (X)),(f . (X))) is set
the of S . [(f . (X)),(f . (X))] is set
f . X is set
h is set
s is set
s1 is set
s is set
j1 is set
k is set
k is set
pai1 is set
k0 is set
k0 is set
pai01 is set
x1 is set
pai02 is set
x2 is set
c₂₁ is set
c₂₂ is set
c₂₃ is set
c₂₄ is set
c₂₅ is set
c₂₆ is set
c₂₇ is set
c₂₈ is set
c₂₉ is set
c₃₀ is set
c₃₁ is set
c₃₂ is set
c₃₃ is set
c₃₄ is set
[#] 1 is non empty non proper Element of bool 1
bool 1 is non empty set
op2 is Relation-like [:1,1:] -defined 1 -valued Function-like quasi_total Element of bool [:[:1,1:],1:]
op1 is Relation-like 1 -defined 1 -valued Function-like quasi_total Element of bool [:1,1:]
(1,([#] 1),op2,op1,op1,op1,op2) is () ()
() is ()
the of () is Element of bool the carrier of ()
the carrier of () is set
bool the carrier of () is non empty set
S is non empty () ()
the of S is Element of bool the carrier of S
the carrier of S is non empty set
bool the carrier of S is non empty set
S is non empty () ()
the of S is non empty Element of bool the carrier of S
the carrier of S is non empty set
bool the carrier of S is non empty set
[:(), the of S:] is set
bool [:(), the of S:] is non empty set
[:(), the carrier of S:] is non empty set
bool [:(), the carrier of S:] is non empty set
R is Relation-like () -defined the of S -valued Function-like quasi_total Element of bool [:(), the of S:]
BASSIGN is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
the Compl of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
[: the carrier of S, the carrier of S:] is non empty set
bool [: the carrier of S, the carrier of S:] is non empty set
the L_meet of S is Relation-like [: the carrier of S, the carrier of S:] -defined the carrier of S -valued Function-like quasi_total Element of bool [:[: the carrier of S, the carrier of S:], the carrier of S:]
[:[: the carrier of S, the carrier of S:], the carrier of S:] is non empty set
bool [:[: the carrier of S, the carrier of S:], the carrier of S:] is non empty set
the of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
the of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
the of S is Relation-like [: the carrier of S, the carrier of S:] -defined the carrier of S -valued Function-like quasi_total Element of bool [:[: the carrier of S, the carrier of S:], the carrier of S:]
f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len f is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
BASSIGN . f is set
R . f is set
(f) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
BASSIGN . (f) is set
the Compl of S . (BASSIGN . (f)) is set
(f) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
BASSIGN . (f) is set
(f) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
BASSIGN . (f) is set
the L_meet of S . ((BASSIGN . (f)),(BASSIGN . (f))) is set
[(BASSIGN . (f)),(BASSIGN . (f))] is set
{(BASSIGN . (f)),(BASSIGN . (f))} is non empty set
{(BASSIGN . (f))} is non empty trivial V45(1) set
{{(BASSIGN . (f)),(BASSIGN . (f))},{(BASSIGN . (f))}} is non empty set
the L_meet of S . [(BASSIGN . (f)),(BASSIGN . (f))] is set
the of S . (BASSIGN . (f)) is set
the of S . (BASSIGN . (f)) is set
the of S . ((BASSIGN . (f)),(BASSIGN . (f))) is set
the of S . [(BASSIGN . (f)),(BASSIGN . (f))] is set
S is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
S + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
R is non empty () ()
the of R is non empty Element of bool the carrier of R
the carrier of R is non empty set
bool the carrier of R is non empty set
[:(), the of R:] is set
bool [:(), the of R:] is non empty set
[:(), the carrier of R:] is non empty set
bool [:(), the carrier of R:] is non empty set
BASSIGN is Relation-like () -defined the of R -valued Function-like quasi_total Element of bool [:(), the of R:]
f is Relation-like () -defined the carrier of R -valued Function-like quasi_total Element of bool [:(), the carrier of R:]
the Compl of R is Relation-like the carrier of R -defined the carrier of R -valued Function-like quasi_total Element of bool [: the carrier of R, the carrier of R:]
[: the carrier of R, the carrier of R:] is non empty set
bool [: the carrier of R, the carrier of R:] is non empty set
the L_meet of R is Relation-like [: the carrier of R, the carrier of R:] -defined the carrier of R -valued Function-like quasi_total Element of bool [:[: the carrier of R, the carrier of R:], the carrier of R:]
[:[: the carrier of R, the carrier of R:], the carrier of R:] is non empty set
bool [:[: the carrier of R, the carrier of R:], the carrier of R:] is non empty set
the of R is Relation-like the carrier of R -defined the carrier of R -valued Function-like quasi_total Element of bool [: the carrier of R, the carrier of R:]
the of R is Relation-like the carrier of R -defined the carrier of R -valued Function-like quasi_total Element of bool [: the carrier of R, the carrier of R:]
the of R is Relation-like [: the carrier of R, the carrier of R:] -defined the carrier of R -valued Function-like quasi_total Element of bool [:[: the carrier of R, the carrier of R:], the carrier of R:]
g is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len g is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f . g is set
BASSIGN . g is set
(g) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f . (g) is set
the Compl of R . (f . (g)) is set
(g) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f . (g) is set
(g) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f . (g) is set
the L_meet of R . ((f . (g)),(f . (g))) is set
[(f . (g)),(f . (g))] is set
{(f . (g)),(f . (g))} is non empty set
{(f . (g))} is non empty trivial V45(1) set
{{(f . (g)),(f . (g))},{(f . (g))}} is non empty set
the L_meet of R . [(f . (g)),(f . (g))] is set
the of R . (f . (g)) is set
the of R . (f . (g)) is set
the of R . ((f . (g)),(f . (g))) is set
the of R . [(f . (g)),(f . (g))] is set
S is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
R is non empty () ()
the of R is non empty Element of bool the carrier of R
the carrier of R is non empty set
bool the carrier of R is non empty set
[:(), the of R:] is set
bool [:(), the of R:] is non empty set
[:(), the carrier of R:] is non empty set
bool [:(), the carrier of R:] is non empty set
BASSIGN is Relation-like () -defined the of R -valued Function-like quasi_total Element of bool [:(), the of R:]
f is Relation-like () -defined the carrier of R -valued Function-like quasi_total Element of bool [:(), the carrier of R:]
the Compl of R is Relation-like the carrier of R -defined the carrier of R -valued Function-like quasi_total Element of bool [: the carrier of R, the carrier of R:]
[: the carrier of R, the carrier of R:] is non empty set
bool [: the carrier of R, the carrier of R:] is non empty set
the L_meet of R is Relation-like [: the carrier of R, the carrier of R:] -defined the carrier of R -valued Function-like quasi_total Element of bool [:[: the carrier of R, the carrier of R:], the carrier of R:]
[:[: the carrier of R, the carrier of R:], the carrier of R:] is non empty set
bool [:[: the carrier of R, the carrier of R:], the carrier of R:] is non empty set
the of R is Relation-like the carrier of R -defined the carrier of R -valued Function-like quasi_total Element of bool [: the carrier of R, the carrier of R:]
the of R is Relation-like the carrier of R -defined the carrier of R -valued Function-like quasi_total Element of bool [: the carrier of R, the carrier of R:]
the of R is Relation-like [: the carrier of R, the carrier of R:] -defined the carrier of R -valued Function-like quasi_total Element of bool [:[: the carrier of R, the carrier of R:], the carrier of R:]
g is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len g is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f . g is set
BASSIGN . g is set
(g) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f . (g) is set
the Compl of R . (f . (g)) is set
(g) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f . (g) is set
(g) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f . (g) is set
the L_meet of R . ((f . (g)),(f . (g))) is set
[(f . (g)),(f . (g))] is set
{(f . (g)),(f . (g))} is non empty set
{(f . (g))} is non empty trivial V45(1) set
{{(f . (g)),(f . (g))},{(f . (g))}} is non empty set
the L_meet of R . [(f . (g)),(f . (g))] is set
the of R . (f . (g)) is set
the of R . (f . (g)) is set
the of R . ((f . (g)),(f . (g))) is set
the of R . [(f . (g)),(f . (g))] is set
S is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
R is non empty () ()
the of R is non empty Element of bool the carrier of R
the carrier of R is non empty set
bool the carrier of R is non empty set
[:(), the of R:] is set
bool [:(), the of R:] is non empty set
[:(), the carrier of R:] is non empty set
bool [:(), the carrier of R:] is non empty set
BASSIGN is Relation-like () -defined the of R -valued Function-like quasi_total Element of bool [:(), the of R:]
f is Relation-like () -defined the carrier of R -valued Function-like quasi_total Element of bool [:(), the carrier of R:]
g is Relation-like () -defined the carrier of R -valued Function-like quasi_total Element of bool [:(), the carrier of R:]
X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
X + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
h is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len h is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f . h is set
g . h is set
BASSIGN . h is set
(h) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len (h) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
the Compl of R is Relation-like the carrier of R -defined the carrier of R -valued Function-like quasi_total Element of bool [: the carrier of R, the carrier of R:]
[: the carrier of R, the carrier of R:] is non empty set
bool [: the carrier of R, the carrier of R:] is non empty set
g . (h) is set
the Compl of R . (g . (h)) is set
f . (h) is set
the Compl of R . (f . (h)) is set
(h) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len (h) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
the of R is Relation-like the carrier of R -defined the carrier of R -valued Function-like quasi_total Element of bool [: the carrier of R, the carrier of R:]
[: the carrier of R, the carrier of R:] is non empty set
bool [: the carrier of R, the carrier of R:] is non empty set
g . (h) is set
the of R . (g . (h)) is set
f . (h) is set
the of R . (f . (h)) is set
(h) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len (h) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
the of R is Relation-like the carrier of R -defined the carrier of R -valued Function-like quasi_total Element of bool [: the carrier of R, the carrier of R:]
[: the carrier of R, the carrier of R:] is non empty set
bool [: the carrier of R, the carrier of R:] is non empty set
g . (h) is set
the of R . (g . (h)) is set
f . (h) is set
the of R . (f . (h)) is set
(h) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len (h) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f . (h) is set
g . (h) is set
(h) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len (h) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
the L_meet of R is Relation-like [: the carrier of R, the carrier of R:] -defined the carrier of R -valued Function-like quasi_total Element of bool [:[: the carrier of R, the carrier of R:], the carrier of R:]
[: the carrier of R, the carrier of R:] is non empty set
[:[: the carrier of R, the carrier of R:], the carrier of R:] is non empty set
bool [:[: the carrier of R, the carrier of R:], the carrier of R:] is non empty set
g . (h) is set
the L_meet of R . ((g . (h)),(g . (h))) is set
[(g . (h)),(g . (h))] is set
{(g . (h)),(g . (h))} is non empty set
{(g . (h))} is non empty trivial V45(1) set
{{(g . (h)),(g . (h))},{(g . (h))}} is non empty set
the L_meet of R . [(g . (h)),(g . (h))] is set
f . (h) is set
the L_meet of R . ((f . (h)),(f . (h))) is set
[(f . (h)),(f . (h))] is set
{(f . (h)),(f . (h))} is non empty set
{(f . (h))} is non empty trivial V45(1) set
{{(f . (h)),(f . (h))},{(f . (h))}} is non empty set
the L_meet of R . [(f . (h)),(f . (h))] is set
(h) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len (h) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f . (h) is set
g . (h) is set
(h) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len (h) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
the of R is Relation-like [: the carrier of R, the carrier of R:] -defined the carrier of R -valued Function-like quasi_total Element of bool [:[: the carrier of R, the carrier of R:], the carrier of R:]
[: the carrier of R, the carrier of R:] is non empty set
[:[: the carrier of R, the carrier of R:], the carrier of R:] is non empty set
bool [:[: the carrier of R, the carrier of R:], the carrier of R:] is non empty set
g . (h) is set
the of R . ((g . (h)),(g . (h))) is set
[(g . (h)),(g . (h))] is set
{(g . (h)),(g . (h))} is non empty set
{(g . (h))} is non empty trivial V45(1) set
{{(g . (h)),(g . (h))},{(g . (h))}} is non empty set
the of R . [(g . (h)),(g . (h))] is set
f . (h) is set
the of R . ((f . (h)),(f . (h))) is set
[(f . (h)),(f . (h))] is set
{(f . (h)),(f . (h))} is non empty set
{(f . (h))} is non empty trivial V45(1) set
{{(f . (h)),(f . (h))},{(f . (h))}} is non empty set
the of R . [(f . (h)),(f . (h))] is set
X is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f . X is set
g . X is set
X is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f . X is set
g . X is set
S is non empty () ()
the of S is non empty Element of bool the carrier of S
the carrier of S is non empty set
bool the carrier of S is non empty set
[:(), the of S:] is set
bool [:(), the of S:] is non empty set
[:(), the carrier of S:] is non empty set
bool [:(), the carrier of S:] is non empty set
R is Relation-like () -defined the of S -valued Function-like quasi_total Element of bool [:(), the of S:]
BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
BASSIGN + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
f is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
f is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
g is set
(g) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S,R,f,f,BASSIGN,(g)) is set
X is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(X) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S,R,f,f,BASSIGN,(X)) is set
(S,R,f,f,BASSIGN,X) is set
len X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f . X is set
len X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
R . X is set
len X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(X) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f . (X) is set
the Compl of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
[: the carrier of S, the carrier of S:] is non empty set
bool [: the carrier of S, the carrier of S:] is non empty set
the Compl of S . (f . (X)) is set
len X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
the L_meet of S is Relation-like [: the carrier of S, the carrier of S:] -defined the carrier of S -valued Function-like quasi_total Element of bool [:[: the carrier of S, the carrier of S:], the carrier of S:]
[: the carrier of S, the carrier of S:] is non empty set
[:[: the carrier of S, the carrier of S:], the carrier of S:] is non empty set
bool [:[: the carrier of S, the carrier of S:], the carrier of S:] is non empty set
(X) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f . (X) is set
(X) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f . (X) is set
the L_meet of S . ((f . (X)),(f . (X))) is set
[(f . (X)),(f . (X))] is set
{(f . (X)),(f . (X))} is non empty set
{(f . (X))} is non empty trivial V45(1) set
{{(f . (X)),(f . (X))},{(f . (X))}} is non empty set
the L_meet of S . [(f . (X)),(f . (X))] is set
len X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(X) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f . (X) is set
the of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
[: the carrier of S, the carrier of S:] is non empty set
bool [: the carrier of S, the carrier of S:] is non empty set
the of S . (f . (X)) is set
len X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(X) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f . (X) is set
the of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
[: the carrier of S, the carrier of S:] is non empty set
bool [: the carrier of S, the carrier of S:] is non empty set
the of S . (f . (X)) is set
len X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
the of S is Relation-like [: the carrier of S, the carrier of S:] -defined the carrier of S -valued Function-like quasi_total Element of bool [:[: the carrier of S, the carrier of S:], the carrier of S:]
[: the carrier of S, the carrier of S:] is non empty set
[:[: the carrier of S, the carrier of S:], the carrier of S:] is non empty set
bool [:[: the carrier of S, the carrier of S:], the carrier of S:] is non empty set
(X) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f . (X) is set
(X) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f . (X) is set
the of S . ((f . (X)),(f . (X))) is set
[(f . (X)),(f . (X))] is set
{(f . (X)),(f . (X))} is non empty set
{(f . (X))} is non empty trivial V45(1) set
{{(f . (X)),(f . (X))},{(f . (X))}} is non empty set
the of S . [(f . (X)),(f . (X))] is set
len X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f . X is set
len X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
g is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
X is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
g . X is set
f . X is set
(X) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S,R,f,f,BASSIGN,(X)) is set
(S,R,f,f,BASSIGN,X) is set
the Compl of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
[: the carrier of S, the carrier of S:] is non empty set
bool [: the carrier of S, the carrier of S:] is non empty set
the L_meet of S is Relation-like [: the carrier of S, the carrier of S:] -defined the carrier of S -valued Function-like quasi_total Element of bool [:[: the carrier of S, the carrier of S:], the carrier of S:]
[:[: the carrier of S, the carrier of S:], the carrier of S:] is non empty set
bool [:[: the carrier of S, the carrier of S:], the carrier of S:] is non empty set
the of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
the of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
the of S is Relation-like [: the carrier of S, the carrier of S:] -defined the carrier of S -valued Function-like quasi_total Element of bool [:[: the carrier of S, the carrier of S:], the carrier of S:]
X is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
g . X is set
R . X is set
(X) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
g . (X) is set
the Compl of S . (g . (X)) is set
(X) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
g . (X) is set
(X) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
g . (X) is set
the L_meet of S . ((g . (X)),(g . (X))) is set
[(g . (X)),(g . (X))] is set
{(g . (X)),(g . (X))} is non empty set
{(g . (X))} is non empty trivial V45(1) set
{{(g . (X)),(g . (X))},{(g . (X))}} is non empty set
the L_meet of S . [(g . (X)),(g . (X))] is set
the of S . (g . (X)) is set
the of S . (g . (X)) is set
the of S . ((g . (X)),(g . (X))) is set
the of S . [(g . (X)),(g . (X))] is set
(X) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S,R,f,f,BASSIGN,(X)) is set
(S,R,f,f,BASSIGN,X) is set
len (X) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f . X is set
f . (X) is set
the Compl of S . (f . (X)) is set
f . (X) is set
the Compl of S . (f . (X)) is set
len (X) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
len (X) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f . (X) is set
f . X is set
f . (X) is set
the of S . ((f . (X)),(f . (X))) is set
[(f . (X)),(f . (X))] is set
{(f . (X)),(f . (X))} is non empty set
{(f . (X))} is non empty trivial V45(1) set
{{(f . (X)),(f . (X))},{(f . (X))}} is non empty set
the of S . [(f . (X)),(f . (X))] is set
f . (X) is set
the of S . ((f . (X)),(f . (X))) is set
[(f . (X)),(f . (X))] is set
{(f . (X)),(f . (X))} is non empty set
{(f . (X))} is non empty trivial V45(1) set
{{(f . (X)),(f . (X))},{(f . (X))}} is non empty set
the of S . [(f . (X)),(f . (X))] is set
len (X) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
len (X) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f . (X) is set
f . X is set
f . (X) is set
the L_meet of S . ((f . (X)),(f . (X))) is set
[(f . (X)),(f . (X))] is set
{(f . (X)),(f . (X))} is non empty set
{(f . (X))} is non empty trivial V45(1) set
{{(f . (X)),(f . (X))},{(f . (X))}} is non empty set
the L_meet of S . [(f . (X)),(f . (X))] is set
f . (X) is set
the L_meet of S . ((f . (X)),(f . (X))) is set
[(f . (X)),(f . (X))] is set
{(f . (X)),(f . (X))} is non empty set
{(f . (X))} is non empty trivial V45(1) set
{{(f . (X)),(f . (X))},{(f . (X))}} is non empty set
the L_meet of S . [(f . (X)),(f . (X))] is set
len (X) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f . X is set
f . (X) is set
the of S . (f . (X)) is set
f . (X) is set
the of S . (f . (X)) is set
len (X) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f . X is set
f . (X) is set
the of S . (f . (X)) is set
f . (X) is set
the of S . (f . (X)) is set
f . X is set
g is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
BASSIGN is set
() --> BASSIGN is Relation-like () -defined {BASSIGN} -valued Function-like quasi_total Element of bool [:(),{BASSIGN}:]
{BASSIGN} is non empty trivial V45(1) set
[:(),{BASSIGN}:] is non empty set
bool [:(),{BASSIGN}:] is non empty set
dom (() --> BASSIGN) is set
rng (() --> BASSIGN) is set
g is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
S is non empty () ()
the of S is non empty Element of bool the carrier of S
the carrier of S is non empty set
bool the carrier of S is non empty set
[:(), the of S:] is set
bool [:(), the of S:] is non empty set
[:(), the carrier of S:] is non empty set
bool [:(), the carrier of S:] is non empty set
R is Relation-like () -defined the of S -valued Function-like quasi_total Element of bool [:(), the of S:]
BASSIGN is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
f is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
BASSIGN . f is set
R . f is set
the Compl of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
[: the carrier of S, the carrier of S:] is non empty set
bool [: the carrier of S, the carrier of S:] is non empty set
(f) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
BASSIGN . (f) is set
the Compl of S . (BASSIGN . (f)) is set
the L_meet of S is Relation-like [: the carrier of S, the carrier of S:] -defined the carrier of S -valued Function-like quasi_total Element of bool [:[: the carrier of S, the carrier of S:], the carrier of S:]
[:[: the carrier of S, the carrier of S:], the carrier of S:] is non empty set
bool [:[: the carrier of S, the carrier of S:], the carrier of S:] is non empty set
(f) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
BASSIGN . (f) is set
(f) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
BASSIGN . (f) is set
the L_meet of S . ((BASSIGN . (f)),(BASSIGN . (f))) is set
[(BASSIGN . (f)),(BASSIGN . (f))] is set
{(BASSIGN . (f)),(BASSIGN . (f))} is non empty set
{(BASSIGN . (f))} is non empty trivial V45(1) set
{{(BASSIGN . (f)),(BASSIGN . (f))},{(BASSIGN . (f))}} is non empty set
the L_meet of S . [(BASSIGN . (f)),(BASSIGN . (f))] is set
the of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
the of S . (BASSIGN . (f)) is set
the of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
the of S . (BASSIGN . (f)) is set
the of S is Relation-like [: the carrier of S, the carrier of S:] -defined the carrier of S -valued Function-like quasi_total Element of bool [:[: the carrier of S, the carrier of S:], the carrier of S:]
the of S . ((BASSIGN . (f)),(BASSIGN . (f))) is set
the of S . [(BASSIGN . (f)),(BASSIGN . (f))] is set
len f is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
S is non empty () ()
the of S is non empty Element of bool the carrier of S
the carrier of S is non empty set
bool the carrier of S is non empty set
[:(), the of S:] is set
bool [:(), the of S:] is non empty set
[:(), the carrier of S:] is non empty set
bool [:(), the carrier of S:] is non empty set
R is Relation-like () -defined the of S -valued Function-like quasi_total Element of bool [:(), the of S:]
BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
{ b₁ where b₁ is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:] : (S,R,b₁,BASSIGN) } is set
g is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
S is non empty () ()
the carrier of S is non empty set
BASSIGN is set
Funcs ((), the carrier of S) is non empty FUNCTION_DOMAIN of (), the carrier of S
[:(), the carrier of S:] is non empty set
bool [:(), the carrier of S:] is non empty set
R is Element of the carrier of S
() --> R is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
S is non empty () ()
the of S is non empty Element of bool the carrier of S
the carrier of S is non empty set
bool the carrier of S is non empty set
[:(), the of S:] is set
bool [:(), the of S:] is non empty set
Funcs ((), the carrier of S) is non empty FUNCTION_DOMAIN of (), the carrier of S
bool (Funcs ((), the carrier of S)) is non empty set
R is Relation-like () -defined the of S -valued Function-like quasi_total Element of bool [:(), the of S:]
f is set
(S,R,0) is non empty set
[:(), the carrier of S:] is non empty set
bool [:(), the carrier of S:] is non empty set
{ b₁ where b₁ is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:] : (S,R,b₁, 0 ) } is set
X is set
h is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
g is non empty set
X is set
h is set
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,R,s) is non empty set
[:(), the carrier of S:] is non empty set
bool [:(), the carrier of S:] is non empty set
{ b₁ where b₁ is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:] : (S,R,b₁,s) } is set
BASSIGN is non empty set
f is non empty set
S is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
R is non empty () ()
the of R is non empty Element of bool the carrier of R
the carrier of R is non empty set
bool the carrier of R is non empty set
[:(), the of R:] is set
bool [:(), the of R:] is non empty set
BASSIGN is Relation-like () -defined the of R -valued Function-like quasi_total Element of bool [:(), the of R:]
(R,BASSIGN,S) is non empty set
[:(), the carrier of R:] is non empty set
bool [:(), the carrier of R:] is non empty set
{ b₁ where b₁ is Relation-like () -defined the carrier of R -valued Function-like quasi_total Element of bool [:(), the carrier of R:] : (R,BASSIGN,b₁,S) } is set
(R,BASSIGN) is non empty set
Funcs ((), the carrier of R) is non empty FUNCTION_DOMAIN of (), the carrier of R
g is set
X is Relation-like () -defined the carrier of R -valued Function-like quasi_total Element of bool [:(), the carrier of R:]
S is non empty () ()
the of S is non empty Element of bool the carrier of S
the carrier of S is non empty set
bool the carrier of S is non empty set
[:(), the of S:] is set
bool [:(), the of S:] is non empty set
[:(), the carrier of S:] is non empty set
bool [:(), the carrier of S:] is non empty set
R is Relation-like () -defined the of S -valued Function-like quasi_total Element of bool [:(), the of S:]
(S,R) is non empty set
the Element of the carrier of S is Element of the carrier of S
g is set
X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,R,X) is non empty set
{ b₁ where b₁ is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:] : (S,R,b₁,X) } is set
g is Relation-like Function-like set
dom g is set
X is set
(X) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,R,(X)) is non empty set
{ b₁ where b₁ is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:] : (S,R,b₁,(X)) } is set
g . (S,R,(X)) is set
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,R,s) is non empty set
{ b₁ where b₁ is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:] : (S,R,b₁,s) } is set
s1 is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
Funcs ((), the carrier of S) is non empty FUNCTION_DOMAIN of (), the carrier of S
X is set
(X) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,R,(X)) is non empty set
{ b₁ where b₁ is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:] : (S,R,b₁,(X)) } is set
g . (S,R,(X)) is set
[:NAT,(Funcs ((), the carrier of S)):] is non empty V38() set
bool [:NAT,(Funcs ((), the carrier of S)):] is non empty V38() set
X is Relation-like NAT -defined Funcs ((), the carrier of S) -valued Function-like quasi_total Element of bool [:NAT,(Funcs ((), the carrier of S)):]
h is set
(h) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len (h) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
X . (len (h)) is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of Funcs ((), the carrier of S)
(S, the Element of the carrier of S,(X . (len (h)))) is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
(S, the Element of the carrier of S,(X . (len (h)))) . h is set
h is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
the Compl of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
[: the carrier of S, the carrier of S:] is non empty set
bool [: the carrier of S, the carrier of S:] is non empty set
the L_meet of S is Relation-like [: the carrier of S, the carrier of S:] -defined the carrier of S -valued Function-like quasi_total Element of bool [:[: the carrier of S, the carrier of S:], the carrier of S:]
[:[: the carrier of S, the carrier of S:], the carrier of S:] is non empty set
bool [:[: the carrier of S, the carrier of S:], the carrier of S:] is non empty set
the of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
the of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
the of S is Relation-like [: the carrier of S, the carrier of S:] -defined the carrier of S -valued Function-like quasi_total Element of bool [:[: the carrier of S, the carrier of S:], the carrier of S:]
s1 is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s1 is set
R . s1 is set
(s1) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
h . (s1) is set
the Compl of S . (h . (s1)) is set
(s1) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
h . (s1) is set
(s1) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
h . (s1) is set
the L_meet of S . ((h . (s1)),(h . (s1))) is set
[(h . (s1)),(h . (s1))] is set
{(h . (s1)),(h . (s1))} is non empty set
{(h . (s1))} is non empty trivial V45(1) set
{{(h . (s1)),(h . (s1))},{(h . (s1))}} is non empty set
the L_meet of S . [(h . (s1)),(h . (s1))] is set
the of S . (h . (s1)) is set
the of S . (h . (s1)) is set
the of S . ((h . (s1)),(h . (s1))) is set
the of S . [(h . (s1)),(h . (s1))] is set
((len s1)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,R,((len s1))) is non empty set
{ b₁ where b₁ is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:] : (S,R,b₁,((len s1))) } is set
g . (S,R,((len s1))) is set
(s1) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len (s1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
X . (len (s1)) is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of Funcs ((), the carrier of S)
X . (len s1) is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of Funcs ((), the carrier of S)
(S, the Element of the carrier of S,(X . (len (s1)))) is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
j1 is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
(S,R,(len s1)) is non empty set
{ b₁ where b₁ is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:] : (S,R,b₁, len s1) } is set
g . (S,R,(len s1)) is set
k is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
j1 . s1 is set
len (s1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
j1 . (s1) is set
the of S . (j1 . (s1)) is set
k is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
len (s1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
len (s1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
j1 . (s1) is set
j1 . (s1) is set
the of S . ((j1 . (s1)),(j1 . (s1))) is set
[(j1 . (s1)),(j1 . (s1))] is set
{(j1 . (s1)),(j1 . (s1))} is non empty set
{(j1 . (s1))} is non empty trivial V45(1) set
{{(j1 . (s1)),(j1 . (s1))},{(j1 . (s1))}} is non empty set
the of S . [(j1 . (s1)),(j1 . (s1))] is set
k is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
len (s1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
len (s1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
j1 . (s1) is set
j1 . (s1) is set
the L_meet of S . ((j1 . (s1)),(j1 . (s1))) is set
[(j1 . (s1)),(j1 . (s1))] is set
{(j1 . (s1)),(j1 . (s1))} is non empty set
{(j1 . (s1))} is non empty trivial V45(1) set
{{(j1 . (s1)),(j1 . (s1))},{(j1 . (s1))}} is non empty set
the L_meet of S . [(j1 . (s1)),(j1 . (s1))] is set
k is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
len (s1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
j1 . (s1) is set
the of S . (j1 . (s1)) is set
k is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
len (s1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
j1 . (s1) is set
the Compl of S . (j1 . (s1)) is set
k is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
k is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
the Compl of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
[: the carrier of S, the carrier of S:] is non empty set
bool [: the carrier of S, the carrier of S:] is non empty set
the L_meet of S is Relation-like [: the carrier of S, the carrier of S:] -defined the carrier of S -valued Function-like quasi_total Element of bool [:[: the carrier of S, the carrier of S:], the carrier of S:]
[:[: the carrier of S, the carrier of S:], the carrier of S:] is non empty set
bool [:[: the carrier of S, the carrier of S:], the carrier of S:] is non empty set
the of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
the of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
the of S is Relation-like [: the carrier of S, the carrier of S:] -defined the carrier of S -valued Function-like quasi_total Element of bool [:[: the carrier of S, the carrier of S:], the carrier of S:]
s is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s is set
R . s is set
(s) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
h . (s) is set
the Compl of S . (h . (s)) is set
(s) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
h . (s) is set
(s) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
h . (s) is set
the L_meet of S . ((h . (s)),(h . (s))) is set
[(h . (s)),(h . (s))] is set
{(h . (s)),(h . (s))} is non empty set
{(h . (s))} is non empty trivial V45(1) set
{{(h . (s)),(h . (s))},{(h . (s))}} is non empty set
the L_meet of S . [(h . (s)),(h . (s))] is set
the of S . (h . (s)) is set
the of S . (h . (s)) is set
the of S . ((h . (s)),(h . (s))) is set
the of S . [(h . (s)),(h . (s))] is set
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
S is non empty () ()
the of S is non empty Element of bool the carrier of S
the carrier of S is non empty set
bool the carrier of S is non empty set
[:(), the of S:] is set
bool [:(), the of S:] is non empty set
[:(), the carrier of S:] is non empty set
bool [:(), the carrier of S:] is non empty set
R is Relation-like () -defined the of S -valued Function-like quasi_total Element of bool [:(), the of S:]
BASSIGN is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
f is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
g is set
BASSIGN . g is set
f . g is set
X is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
len X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
S is non empty () ()
the of S is non empty Element of bool the carrier of S
the carrier of S is non empty set
bool the carrier of S is non empty set
[:(), the of S:] is set
bool [:(), the of S:] is non empty set
[:(), the carrier of S:] is non empty set
bool [:(), the carrier of S:] is non empty set
R is Relation-like () -defined the of S -valued Function-like quasi_total Element of bool [:(), the of S:]
BASSIGN is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
f . BASSIGN is set
X is Element of the carrier of S
X is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
f is Element of the carrier of S
X . BASSIGN is set
h is Relation-like () -defined the carrier of S -valued Function-like quasi_total Element of bool [:(), the carrier of S:]
g is Element of the carrier of S
h . BASSIGN is set
S is non empty () ()
the carrier of S is non empty set
S is non empty () ()
the carrier of S is non empty set
the of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
[: the carrier of S, the carrier of S:] is non empty set
bool [: the carrier of S, the carrier of S:] is non empty set
R is Element of the carrier of S
the of S . R is Element of the carrier of S
the of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
the of S . R is Element of the carrier of S
S is non empty () ()
the carrier of S is non empty set
the of S is Relation-like [: the carrier of S, the carrier of S:] -defined the carrier of S -valued Function-like quasi_total Element of bool [:[: the carrier of S, the carrier of S:], the carrier of S:]
[: the carrier of S, the carrier of S:] is non empty set
[:[: the carrier of S, the carrier of S:], the carrier of S:] is non empty set
bool [:[: the carrier of S, the carrier of S:], the carrier of S:] is non empty set
R is Element of the carrier of S
BASSIGN is Element of the carrier of S
the of S . (R,BASSIGN) is Element of the carrier of S
[R,BASSIGN] is set
{R,BASSIGN} is non empty set
{R} is non empty trivial V45(1) set
{{R,BASSIGN},{R}} is non empty set
the of S . [R,BASSIGN] is set
R ` is Element of the carrier of S
the Compl of S is Relation-like the carrier of S -defined the carrier of S -valued Function-like quasi_total Element of bool [: the carrier of S, the carrier of S:]
bool [: the carrier of S, the carrier of S:] is non empty set
the Compl of S . R is Element of the carrier of S
BASSIGN ` is Element of the carrier of S
the Compl of S . BASSIGN is Element of the carrier of S
(R `) "/\" (BASSIGN `) is Element of the carrier of S
the L_meet of S is Relation-like [: the carrier of S, the carrier of S:] -defined the carrier of S -valued Function-like quasi_total Element of bool [:[: the carrier of S, the carrier of S:], the carrier of S:]
the L_meet of S . ((R `),(BASSIGN `)) is Element of the carrier of S
[(R `),(BASSIGN `)] is set
{(R `),(BASSIGN `)} is non empty set
{(R `)} is non empty trivial V45(1) set
{{(R `),(BASSIGN `)},{(R `)}} is non empty set
the L_meet of S . [(R `),(BASSIGN `)] is set
((R `) "/\" (BASSIGN `)) ` is Element of the carrier of S
the Compl of S . ((R `) "/\" (BASSIGN `)) is Element of the carrier of S
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is non empty () ()
the of R is non empty Element of bool the carrier of R
the carrier of R is non empty set
bool the carrier of R is non empty set
[:(), the of R:] is set
bool [:(), the of R:] is non empty set
BASSIGN is Relation-like () -defined the of R -valued Function-like quasi_total Element of bool [:(), the of R:]
(R,BASSIGN,(S)) is Element of the carrier of R
(R,BASSIGN,S) is Element of the carrier of R
(R,BASSIGN,S) ` is Element of the carrier of R
the Compl of R is Relation-like the carrier of R -defined the carrier of R -valued Function-like quasi_total Element of bool [: the carrier of R, the carrier of R:]
[: the carrier of R, the carrier of R:] is non empty set
bool [: the carrier of R, the carrier of R:] is non empty set
the Compl of R . (R,BASSIGN,S) is Element of the carrier of R
[:(), the carrier of R:] is non empty set
bool [:(), the carrier of R:] is non empty set
f is Relation-like () -defined the carrier of R -valued Function-like quasi_total Element of bool [:(), the carrier of R:]
f . (S) is set
((S)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f . ((S)) is set
the Compl of R . (f . ((S))) is set
f . S is set
the Compl of R . (f . S) is set
g is Relation-like () -defined the carrier of R -valued Function-like quasi_total Element of bool [:(), the carrier of R:]
g . S is set
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S,R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ S) ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
BASSIGN is non empty () ()
the of BASSIGN is non empty Element of bool the carrier of BASSIGN
the carrier of BASSIGN is non empty set
bool the carrier of BASSIGN is non empty set
[:(), the of BASSIGN:] is set
bool [:(), the of BASSIGN:] is non empty set
f is Relation-like () -defined the of BASSIGN -valued Function-like quasi_total Element of bool [:(), the of BASSIGN:]
(BASSIGN,f,(S,R)) is Element of the carrier of BASSIGN
(BASSIGN,f,S) is Element of the carrier of BASSIGN
(BASSIGN,f,R) is Element of the carrier of BASSIGN
(BASSIGN,f,S) "/\" (BASSIGN,f,R) is Element of the carrier of BASSIGN
the L_meet of BASSIGN is Relation-like [: the carrier of BASSIGN, the carrier of BASSIGN:] -defined the carrier of BASSIGN -valued Function-like quasi_total Element of bool [:[: the carrier of BASSIGN, the carrier of BASSIGN:], the carrier of BASSIGN:]
[: the carrier of BASSIGN, the carrier of BASSIGN:] is non empty set
[:[: the carrier of BASSIGN, the carrier of BASSIGN:], the carrier of BASSIGN:] is non empty set
bool [:[: the carrier of BASSIGN, the carrier of BASSIGN:], the carrier of BASSIGN:] is non empty set
the L_meet of BASSIGN . ((BASSIGN,f,S),(BASSIGN,f,R)) is Element of the carrier of BASSIGN
[(BASSIGN,f,S),(BASSIGN,f,R)] is set
{(BASSIGN,f,S),(BASSIGN,f,R)} is non empty set
{(BASSIGN,f,S)} is non empty trivial V45(1) set
{{(BASSIGN,f,S),(BASSIGN,f,R)},{(BASSIGN,f,S)}} is non empty set
the L_meet of BASSIGN . [(BASSIGN,f,S),(BASSIGN,f,R)] is set
[:(), the carrier of BASSIGN:] is non empty set
bool [:(), the carrier of BASSIGN:] is non empty set
g is Relation-like () -defined the carrier of BASSIGN -valued Function-like quasi_total Element of bool [:(), the carrier of BASSIGN:]
g . (S,R) is set
X is Relation-like () -defined the carrier of BASSIGN -valued Function-like quasi_total Element of bool [:(), the carrier of BASSIGN:]
X . S is set
h is Relation-like () -defined the carrier of BASSIGN -valued Function-like quasi_total Element of bool [:(), the carrier of BASSIGN:]
h . R is set
((S,R)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
((S,R)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*2*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is non empty () ()
the of R is non empty Element of bool the carrier of R
the carrier of R is non empty set
bool the carrier of R is non empty set
[:(), the of R:] is set
bool [:(), the of R:] is non empty set
BASSIGN is Relation-like () -defined the of R -valued Function-like quasi_total Element of bool [:(), the of R:]
(R,BASSIGN,(S)) is Element of the carrier of R
(R,BASSIGN,S) is Element of the carrier of R
(R,(R,BASSIGN,S)) is Element of the carrier of R
the of R is Relation-like the carrier of R -defined the carrier of R -valued Function-like quasi_total Element of bool [: the carrier of R, the carrier of R:]
[: the carrier of R, the carrier of R:] is non empty set
bool [: the carrier of R, the carrier of R:] is non empty set
the of R . (R,BASSIGN,S) is Element of the carrier of R
[:(), the carrier of R:] is non empty set
bool [:(), the carrier of R:] is non empty set
f is Relation-like () -defined the carrier of R -valued Function-like quasi_total Element of bool [:(), the carrier of R:]
f . (S) is set
((S)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f . ((S)) is set
the of R . (f . ((S))) is set
f . S is set
the of R . (f . S) is set
g is Relation-like () -defined the carrier of R -valued Function-like quasi_total Element of bool [:(), the carrier of R:]
g . S is set
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*3*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is non empty () ()
the of R is non empty Element of bool the carrier of R
the carrier of R is non empty set
bool the carrier of R is non empty set
[:(), the of R:] is set
bool [:(), the of R:] is non empty set
BASSIGN is Relation-like () -defined the of R -valued Function-like quasi_total Element of bool [:(), the of R:]
(R,BASSIGN,(S)) is Element of the carrier of R
(R,BASSIGN,S) is Element of the carrier of R
(R,(R,BASSIGN,S)) is Element of the carrier of R
the of R is Relation-like the carrier of R -defined the carrier of R -valued Function-like quasi_total Element of bool [: the carrier of R, the carrier of R:]
[: the carrier of R, the carrier of R:] is non empty set
bool [: the carrier of R, the carrier of R:] is non empty set
the of R . (R,BASSIGN,S) is Element of the carrier of R
[:(), the carrier of R:] is non empty set
bool [:(), the carrier of R:] is non empty set
f is Relation-like () -defined the carrier of R -valued Function-like quasi_total Element of bool [:(), the carrier of R:]
f . (S) is set
((S)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
f . ((S)) is set
the of R . (f . ((S))) is set
f . S is set
the of R . (f . S) is set
g is Relation-like () -defined the carrier of R -valued Function-like quasi_total Element of bool [:(), the carrier of R:]
g . S is set
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S,R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*4*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ S) ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
BASSIGN is non empty () ()
the of BASSIGN is non empty Element of bool the carrier of BASSIGN
the carrier of BASSIGN is non empty set
bool the carrier of BASSIGN is non empty set
[:(), the of BASSIGN:] is set
bool [:(), the of BASSIGN:] is non empty set
f is Relation-like () -defined the of BASSIGN -valued Function-like quasi_total Element of bool [:(), the of BASSIGN:]
(BASSIGN,f,(S,R)) is Element of the carrier of BASSIGN
(BASSIGN,f,S) is Element of the carrier of BASSIGN
(BASSIGN,f,R) is Element of the carrier of BASSIGN
(BASSIGN,(BASSIGN,f,S),(BASSIGN,f,R)) is Element of the carrier of BASSIGN
the of BASSIGN is Relation-like [: the carrier of BASSIGN, the carrier of BASSIGN:] -defined the carrier of BASSIGN -valued Function-like quasi_total Element of bool [:[: the carrier of BASSIGN, the carrier of BASSIGN:], the carrier of BASSIGN:]
[: the carrier of BASSIGN, the carrier of BASSIGN:] is non empty set
[:[: the carrier of BASSIGN, the carrier of BASSIGN:], the carrier of BASSIGN:] is non empty set
bool [:[: the carrier of BASSIGN, the carrier of BASSIGN:], the carrier of BASSIGN:] is non empty set
the of BASSIGN . ((BASSIGN,f,S),(BASSIGN,f,R)) is Element of the carrier of BASSIGN
[(BASSIGN,f,S),(BASSIGN,f,R)] is set
{(BASSIGN,f,S),(BASSIGN,f,R)} is non empty set
{(BASSIGN,f,S)} is non empty trivial V45(1) set
{{(BASSIGN,f,S),(BASSIGN,f,R)},{(BASSIGN,f,S)}} is non empty set
the of BASSIGN . [(BASSIGN,f,S),(BASSIGN,f,R)] is set
[:(), the carrier of BASSIGN:] is non empty set
bool [:(), the carrier of BASSIGN:] is non empty set
g is Relation-like () -defined the carrier of BASSIGN -valued Function-like quasi_total Element of bool [:(), the carrier of BASSIGN:]
g . (S,R) is set
X is Relation-like () -defined the carrier of BASSIGN -valued Function-like quasi_total Element of bool [:(), the carrier of BASSIGN:]
X . S is set
h is Relation-like () -defined the carrier of BASSIGN -valued Function-like quasi_total Element of bool [:(), the carrier of BASSIGN:]
h . R is set
(S,R) . 1 is set
((S,R)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
((S,R)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S,R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
((S),(R)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ (S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ (S)) ^ (R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(((S),(R))) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ ((S),(R)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
BASSIGN is non empty () ()
the of BASSIGN is non empty Element of bool the carrier of BASSIGN
the carrier of BASSIGN is non empty set
bool the carrier of BASSIGN is non empty set
[:(), the of BASSIGN:] is set
bool [:(), the of BASSIGN:] is non empty set
f is Relation-like () -defined the of BASSIGN -valued Function-like quasi_total Element of bool [:(), the of BASSIGN:]
(BASSIGN,f,(S,R)) is Element of the carrier of BASSIGN
(BASSIGN,f,S) is Element of the carrier of BASSIGN
(BASSIGN,f,R) is Element of the carrier of BASSIGN
(BASSIGN,(BASSIGN,f,S),(BASSIGN,f,R)) is Element of the carrier of BASSIGN
(BASSIGN,f,S) ` is Element of the carrier of BASSIGN
the Compl of BASSIGN is Relation-like the carrier of BASSIGN -defined the carrier of BASSIGN -valued Function-like quasi_total Element of bool [: the carrier of BASSIGN, the carrier of BASSIGN:]
[: the carrier of BASSIGN, the carrier of BASSIGN:] is non empty set
bool [: the carrier of BASSIGN, the carrier of BASSIGN:] is non empty set
the Compl of BASSIGN . (BASSIGN,f,S) is Element of the carrier of BASSIGN
(BASSIGN,f,R) ` is Element of the carrier of BASSIGN
the Compl of BASSIGN . (BASSIGN,f,R) is Element of the carrier of BASSIGN
((BASSIGN,f,S) `) "/\" ((BASSIGN,f,R) `) is Element of the carrier of BASSIGN
the L_meet of BASSIGN is Relation-like [: the carrier of BASSIGN, the carrier of BASSIGN:] -defined the carrier of BASSIGN -valued Function-like quasi_total Element of bool [:[: the carrier of BASSIGN, the carrier of BASSIGN:], the carrier of BASSIGN:]
[:[: the carrier of BASSIGN, the carrier of BASSIGN:], the carrier of BASSIGN:] is non empty set
bool [:[: the carrier of BASSIGN, the carrier of BASSIGN:], the carrier of BASSIGN:] is non empty set
the L_meet of BASSIGN . (((BASSIGN,f,S) `),((BASSIGN,f,R) `)) is Element of the carrier of BASSIGN
[((BASSIGN,f,S) `),((BASSIGN,f,R) `)] is set
{((BASSIGN,f,S) `),((BASSIGN,f,R) `)} is non empty set
{((BASSIGN,f,S) `)} is non empty trivial V45(1) set
{{((BASSIGN,f,S) `),((BASSIGN,f,R) `)},{((BASSIGN,f,S) `)}} is non empty set
the L_meet of BASSIGN . [((BASSIGN,f,S) `),((BASSIGN,f,R) `)] is set
(((BASSIGN,f,S) `) "/\" ((BASSIGN,f,R) `)) ` is Element of the carrier of BASSIGN
the Compl of BASSIGN . (((BASSIGN,f,S) `) "/\" ((BASSIGN,f,R) `)) is Element of the carrier of BASSIGN
(BASSIGN,f,((S),(R))) is Element of the carrier of BASSIGN
(BASSIGN,f,((S),(R))) ` is Element of the carrier of BASSIGN
the Compl of BASSIGN . (BASSIGN,f,((S),(R))) is Element of the carrier of BASSIGN
(BASSIGN,f,(S)) is Element of the carrier of BASSIGN
(BASSIGN,f,(R)) is Element of the carrier of BASSIGN
(BASSIGN,f,(S)) "/\" (BASSIGN,f,(R)) is Element of the carrier of BASSIGN
the L_meet of BASSIGN . ((BASSIGN,f,(S)),(BASSIGN,f,(R))) is Element of the carrier of BASSIGN
[(BASSIGN,f,(S)),(BASSIGN,f,(R))] is set
{(BASSIGN,f,(S)),(BASSIGN,f,(R))} is non empty set
{(BASSIGN,f,(S))} is non empty trivial V45(1) set
{{(BASSIGN,f,(S)),(BASSIGN,f,(R))},{(BASSIGN,f,(S))}} is non empty set
the L_meet of BASSIGN . [(BASSIGN,f,(S)),(BASSIGN,f,(R))] is set
((BASSIGN,f,(S)) "/\" (BASSIGN,f,(R))) ` is Element of the carrier of BASSIGN
the Compl of BASSIGN . ((BASSIGN,f,(S)) "/\" (BASSIGN,f,(R))) is Element of the carrier of BASSIGN
((BASSIGN,f,S) `) "/\" (BASSIGN,f,(R)) is Element of the carrier of BASSIGN
the L_meet of BASSIGN . (((BASSIGN,f,S) `),(BASSIGN,f,(R))) is Element of the carrier of BASSIGN
[((BASSIGN,f,S) `),(BASSIGN,f,(R))] is set
{((BASSIGN,f,S) `),(BASSIGN,f,(R))} is non empty set
{{((BASSIGN,f,S) `),(BASSIGN,f,(R))},{((BASSIGN,f,S) `)}} is non empty set
the L_meet of BASSIGN . [((BASSIGN,f,S) `),(BASSIGN,f,(R))] is set
(((BASSIGN,f,S) `) "/\" (BASSIGN,f,(R))) ` is Element of the carrier of BASSIGN
the Compl of BASSIGN . (((BASSIGN,f,S) `) "/\" (BASSIGN,f,(R))) is Element of the carrier of BASSIGN
S is set
[:S,S:] is set
bool [:S,S:] is non empty set
R is Relation-like S -defined S -valued Function-like quasi_total Element of bool [:S,S:]
BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() set
iter (R,BASSIGN) is Relation-like set
f is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
iter (R,f) is Relation-like S -defined S -valued Function-like quasi_total Element of bool [:S,S:]
S is set
[:S,S:] is set
bool [:S,S:] is non empty set
R is Relation-like S -defined S -valued Element of bool [:S,S:]
BASSIGN is set
dom R is set
f is Element of S
[BASSIGN,f] is set
{BASSIGN,f} is non empty set
{BASSIGN} is non empty trivial V45(1) set
{{BASSIGN,f},{BASSIGN}} is non empty set
BASSIGN is set
BASSIGN is set
S is set
[:S,S:] is set
bool [:S,S:] is non empty set
R is Relation-like S -defined S -valued Element of bool [:S,S:]
dom R is set
BASSIGN is set
f is set
[BASSIGN,f] is set
{BASSIGN,f} is non empty set
{BASSIGN} is non empty trivial V45(1) set
{{BASSIGN,f},{BASSIGN}} is non empty set
BASSIGN is set
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is Element of S
{BASSIGN} is non empty trivial V45(1) set
R .: {BASSIGN} is set
f is set
[BASSIGN,f] is set
{BASSIGN,f} is non empty set
{{BASSIGN,f},{BASSIGN}} is non empty set
F<sub>1</sub>() is non empty set
[:F<sub>1</sub>(),F<sub>1</sub>():] is non empty set
bool [:F<sub>1</sub>(),F<sub>1</sub>():] is non empty set
F<sub>2</sub>() is Relation-like F<sub>1</sub>() -defined F<sub>1</sub>() -valued total Element of bool [:F<sub>1</sub>(),F<sub>1</sub>():]
bool F<sub>1</sub>() is non empty set
[:NAT,F<sub>1</sub>():] is non empty V38() set
bool [:NAT,F<sub>1</sub>():] is non empty V38() set
F<sub>3</sub>() is Element of F<sub>1</sub>()
BOOL F<sub>1</sub>() is set
S is set
S is Relation-like Function-like set
dom S is set
R is set
(R,F<sub>1</sub>(),F<sub>3</sub>()) is Element of F<sub>1</sub>()
{(R,F<sub>1</sub>(),F<sub>3</sub>())} is non empty trivial V45(1) set
F<sub>2</sub>() .: {(R,F<sub>1</sub>(),F<sub>3</sub>())} is set
F<sub>4</sub>((R,F<sub>1</sub>(),F<sub>3</sub>())) is set
(F<sub>2</sub>() .: {(R,F<sub>1</sub>(),F<sub>3</sub>())}) /\ F<sub>4</sub>((R,F<sub>1</sub>(),F<sub>3</sub>())) is set
S . ((F<sub>2</sub>() .: {(R,F<sub>1</sub>(),F<sub>3</sub>())}) /\ F<sub>4</sub>((R,F<sub>1</sub>(),F<sub>3</sub>()))) is set
BASSIGN is Element of F<sub>1</sub>()
Im (F<sub>2</sub>(),BASSIGN) is set
{BASSIGN} is non empty trivial V45(1) set
F<sub>2</sub>() .: {BASSIGN} is set
F<sub>4</sub>(BASSIGN) is set
(Im (F<sub>2</sub>(),BASSIGN)) /\ F<sub>4</sub>(BASSIGN) is set
S . ((Im (F<sub>2</sub>(),BASSIGN)) /\ F<sub>4</sub>(BASSIGN)) is set
(BASSIGN,F<sub>1</sub>(),F<sub>3</sub>()) is Element of F<sub>1</sub>()
{(BASSIGN,F<sub>1</sub>(),F<sub>3</sub>())} is non empty trivial V45(1) set
F<sub>2</sub>() .: {(BASSIGN,F<sub>1</sub>(),F<sub>3</sub>())} is set
F<sub>4</sub>((BASSIGN,F<sub>1</sub>(),F<sub>3</sub>())) is set
(F<sub>2</sub>() .: {(BASSIGN,F<sub>1</sub>(),F<sub>3</sub>())}) /\ F<sub>4</sub>((BASSIGN,F<sub>1</sub>(),F<sub>3</sub>())) is set
S . ((F<sub>2</sub>() .: {(BASSIGN,F<sub>1</sub>(),F<sub>3</sub>())}) /\ F<sub>4</sub>((BASSIGN,F<sub>1</sub>(),F<sub>3</sub>()))) is set
rng F<sub>2</sub>() is set
R is Relation-like F<sub>1</sub>() -defined F<sub>1</sub>() -valued Function-like quasi_total Element of bool [:F<sub>1</sub>(),F<sub>1</sub>():]
BASSIGN is set
(BASSIGN) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(F<sub>1</sub>(),R,(BASSIGN)) is Relation-like F<sub>1</sub>() -defined F<sub>1</sub>() -valued Function-like quasi_total Element of bool [:F<sub>1</sub>(),F<sub>1</sub>():]
(F<sub>1</sub>(),R,(BASSIGN)) . F<sub>3</sub>() is Element of F<sub>1</sub>()
BASSIGN is Relation-like NAT -defined F<sub>1</sub>() -valued Function-like quasi_total Element of bool [:NAT,F<sub>1</sub>():]
f is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
BASSIGN . (f + 1) is Element of F<sub>1</sub>()
BASSIGN . f is Element of F<sub>1</sub>()
{(BASSIGN . f)} is non empty trivial V45(1) set
F<sub>2</sub>() .: {(BASSIGN . f)} is set
F<sub>4</sub>((BASSIGN . f)) is set
(F<sub>2</sub>() .: {(BASSIGN . f)}) /\ F<sub>4</sub>((BASSIGN . f)) is set
S . ((F<sub>2</sub>() .: {(BASSIGN . f)}) /\ F<sub>4</sub>((BASSIGN . f))) is set
(F<sub>1</sub>(),R,f) is Relation-like F<sub>1</sub>() -defined F<sub>1</sub>() -valued Function-like quasi_total Element of bool [:F<sub>1</sub>(),F<sub>1</sub>():]
dom (F<sub>1</sub>(),R,f) is set
((BASSIGN . f),F<sub>1</sub>(),F<sub>3</sub>()) is Element of F<sub>1</sub>()
((f + 1)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(F<sub>1</sub>(),R,((f + 1))) is Relation-like F<sub>1</sub>() -defined F<sub>1</sub>() -valued Function-like quasi_total Element of bool [:F<sub>1</sub>(),F<sub>1</sub>():]
(F<sub>1</sub>(),R,((f + 1))) . F<sub>3</sub>() is Element of F<sub>1</sub>()
(F<sub>1</sub>(),R,(f + 1)) is Relation-like F<sub>1</sub>() -defined F<sub>1</sub>() -valued Function-like quasi_total Element of bool [:F<sub>1</sub>(),F<sub>1</sub>():]
(F<sub>1</sub>(),R,(f + 1)) . F<sub>3</sub>() is Element of F<sub>1</sub>()
R * (F<sub>1</sub>(),R,f) is Relation-like F<sub>1</sub>() -defined F<sub>1</sub>() -valued Function-like Element of bool [:F<sub>1</sub>(),F<sub>1</sub>():]
(R * (F<sub>1</sub>(),R,f)) . F<sub>3</sub>() is set
(F<sub>1</sub>(),R,f) . F<sub>3</sub>() is Element of F<sub>1</sub>()
R . ((F<sub>1</sub>(),R,f) . F<sub>3</sub>()) is Element of F<sub>1</sub>()
(f) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(F<sub>1</sub>(),R,(f)) is Relation-like F<sub>1</sub>() -defined F<sub>1</sub>() -valued Function-like quasi_total Element of bool [:F<sub>1</sub>(),F<sub>1</sub>():]
(F<sub>1</sub>(),R,(f)) . F<sub>3</sub>() is Element of F<sub>1</sub>()
R . ((F<sub>1</sub>(),R,(f)) . F<sub>3</sub>()) is Element of F<sub>1</sub>()
R . (BASSIGN . f) is Element of F<sub>1</sub>()
BASSIGN . 0 is Element of F<sub>1</sub>()
(0) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(F<sub>1</sub>(),R,(0)) is Relation-like F<sub>1</sub>() -defined F<sub>1</sub>() -valued Function-like quasi_total Element of bool [:F<sub>1</sub>(),F<sub>1</sub>():]
(F<sub>1</sub>(),R,(0)) . F<sub>3</sub>() is Element of F<sub>1</sub>()
(F<sub>1</sub>(),R,0) is Relation-like F<sub>1</sub>() -defined F<sub>1</sub>() -valued Function-like quasi_total Element of bool [:F<sub>1</sub>(),F<sub>1</sub>():]
(F<sub>1</sub>(),R,0) . F<sub>3</sub>() is Element of F<sub>1</sub>()
id F<sub>1</sub>() is Relation-like F<sub>1</sub>() -defined F<sub>1</sub>() -valued Function-like one-to-one non empty total V61() V63() V64() V68() Element of bool [:F<sub>1</sub>(),F<sub>1</sub>():]
(id F<sub>1</sub>()) . F<sub>3</sub>() is set
f is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
BASSIGN . (f + 1) is Element of F<sub>1</sub>()
BASSIGN . f is Element of F<sub>1</sub>()
{(BASSIGN . f)} is non empty trivial V45(1) set
F<sub>2</sub>() .: {(BASSIGN . f)} is set
F<sub>4</sub>((BASSIGN . f)) is set
(F<sub>2</sub>() .: {(BASSIGN . f)}) /\ F<sub>4</sub>((BASSIGN . f)) is set
S . ((F<sub>2</sub>() .: {(BASSIGN . f)}) /\ F<sub>4</sub>((BASSIGN . f))) is set
R is Relation-like NAT -defined F<sub>1</sub>() -valued Function-like quasi_total Element of bool [:NAT,F<sub>1</sub>():]
R . 0 is Element of F<sub>1</sub>()
R is Relation-like NAT -defined F<sub>1</sub>() -valued Function-like quasi_total Element of bool [:NAT,F<sub>1</sub>():]
R . 0 is Element of F<sub>1</sub>()
BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
BASSIGN + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
R . (BASSIGN + 1) is Element of F<sub>1</sub>()
R . BASSIGN is Element of F<sub>1</sub>()
{(R . BASSIGN)} is non empty trivial V45(1) set
F<sub>2</sub>() .: {(R . BASSIGN)} is set
F<sub>4</sub>((R . BASSIGN)) is set
(F<sub>2</sub>() .: {(R . BASSIGN)}) /\ F<sub>4</sub>((R . BASSIGN)) is set
Im (F<sub>2</sub>(),(R . BASSIGN)) is set
(Im (F<sub>2</sub>(),(R . BASSIGN))) /\ F<sub>4</sub>((R . BASSIGN)) is set
S . ((Im (F<sub>2</sub>(),(R . BASSIGN))) /\ F<sub>4</sub>((R . BASSIGN))) is set
BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
R . BASSIGN is Element of F<sub>1</sub>()
BASSIGN + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
R . (BASSIGN + 1) is Element of F<sub>1</sub>()
[(R . BASSIGN),(R . (BASSIGN + 1))] is set
{(R . BASSIGN),(R . (BASSIGN + 1))} is non empty set
{(R . BASSIGN)} is non empty trivial V45(1) set
{{(R . BASSIGN),(R . (BASSIGN + 1))},{(R . BASSIGN)}} is non empty set
F<sub>4</sub>((R . BASSIGN)) is set
Im (F<sub>2</sub>(),(R . BASSIGN)) is set
F<sub>2</sub>() .: {(R . BASSIGN)} is set
(Im (F<sub>2</sub>(),(R . BASSIGN))) /\ F<sub>4</sub>((R . BASSIGN)) is set
BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
R . BASSIGN is Element of F<sub>1</sub>()
BASSIGN + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
R . (BASSIGN + 1) is Element of F<sub>1</sub>()
[(R . BASSIGN),(R . (BASSIGN + 1))] is set
{(R . BASSIGN),(R . (BASSIGN + 1))} is non empty set
{(R . BASSIGN)} is non empty trivial V45(1) set
{{(R . BASSIGN),(R . (BASSIGN + 1))},{(R . BASSIGN)}} is non empty set
f is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
R . (f + 1) is Element of F<sub>1</sub>()
R . f is Element of F<sub>1</sub>()
F<sub>4</sub>((R . f)) is set
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
[:NAT,S:] is non empty V38() set
bool [:NAT,S:] is non empty V38() set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is Element of S
bool S is non empty set
f is Element of S
Im (R,f) is set
{f} is non empty trivial V45(1) set
R .: {f} is set
(Im (R,f)) /\ H<sub>1</sub>(f) is set
rng R is set
(R .: {f}) /\ H<sub>1</sub>(f) is set
f is Relation-like NAT -defined S -valued Function-like quasi_total Element of bool [:NAT,S:]
f . 0 is Element of S
g is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f . g is Element of S
g + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
f . (g + 1) is Element of S
[(f . g),(f . (g + 1))] is set
{(f . g),(f . (g + 1))} is non empty set
{(f . g)} is non empty trivial V45(1) set
{{(f . g),(f . (g + 1))},{(f . g)}} is non empty set
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
[:NAT,S:] is non empty V38() set
bool [:NAT,S:] is non empty V38() set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
the Element of S is Element of S
f is Relation-like NAT -defined S -valued Function-like quasi_total Element of bool [:NAT,S:]
f . 0 is Element of S
g is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f . g is Element of S
g + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
f . (g + 1) is Element of S
[(f . g),(f . (g + 1))] is set
{(f . g),(f . (g + 1))} is non empty set
{(f . g)} is non empty trivial V45(1) set
{{(f . g),(f . (g + 1))},{(f . g)}} is non empty set
S is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
S is non empty set
(S) is set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
R is set
S is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
S --> FALSE is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
TRUE is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
S is non empty set
BASSIGN is set
(S,BASSIGN) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
R is Element of S
(S,BASSIGN) . R is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
F<sub>1</sub>() is non empty set
[:F<sub>1</sub>(),BOOLEAN:] is non empty set
bool [:F<sub>1</sub>(),BOOLEAN:] is non empty set
(F<sub>1</sub>()) is non empty set
Funcs (F<sub>1</sub>(),BOOLEAN) is non empty FUNCTION_DOMAIN of F<sub>1</sub>(), BOOLEAN
F<sub>2</sub>() is Relation-like F<sub>1</sub>() -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:F<sub>1</sub>(),BOOLEAN:]
S is set
F<sub>3</sub>(S,F<sub>2</sub>()) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
S is Relation-like F<sub>1</sub>() -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:F<sub>1</sub>(),BOOLEAN:]
(F<sub>1</sub>(),S) is Relation-like F<sub>1</sub>() -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:F<sub>1</sub>(),BOOLEAN:]
R is set
F<sub>3</sub>(R,F<sub>2</sub>()) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(F<sub>1</sub>(),S) . R is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
F<sub>1</sub>() is non empty set
[:F<sub>1</sub>(),BOOLEAN:] is non empty set
bool [:F<sub>1</sub>(),BOOLEAN:] is non empty set
(F<sub>1</sub>()) is non empty set
Funcs (F<sub>1</sub>(),BOOLEAN) is non empty FUNCTION_DOMAIN of F<sub>1</sub>(), BOOLEAN
F<sub>2</sub>() is Relation-like F<sub>1</sub>() -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:F<sub>1</sub>(),BOOLEAN:]
S is set
(F<sub>1</sub>(),S) is Relation-like F<sub>1</sub>() -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:F<sub>1</sub>(),BOOLEAN:]
R is set
(F<sub>1</sub>(),R) is Relation-like F<sub>1</sub>() -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:F<sub>1</sub>(),BOOLEAN:]
BASSIGN is set
(F<sub>1</sub>(),S) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(F<sub>1</sub>(),R) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
F<sub>3</sub>(BASSIGN,F<sub>2</sub>()) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
F<sub>1</sub>() is non empty set
[:F<sub>1</sub>(),F<sub>1</sub>():] is non empty set
bool [:F<sub>1</sub>(),F<sub>1</sub>():] is non empty set
S is set
F<sub>2</sub>(S) is Element of F<sub>1</sub>()
S is Relation-like F<sub>1</sub>() -defined F<sub>1</sub>() -valued Function-like quasi_total Element of bool [:F<sub>1</sub>(),F<sub>1</sub>():]
F<sub>2</sub>() is non empty set
[:F<sub>2</sub>(),F<sub>2</sub>():] is non empty set
bool [:F<sub>2</sub>(),F<sub>2</sub>():] is non empty set
S is Relation-like F<sub>2</sub>() -defined F<sub>2</sub>() -valued Function-like quasi_total Element of bool [:F<sub>2</sub>(),F<sub>2</sub>():]
R is Relation-like F<sub>2</sub>() -defined F<sub>2</sub>() -valued Function-like quasi_total Element of bool [:F<sub>2</sub>(),F<sub>2</sub>():]
BASSIGN is Element of F<sub>2</sub>()
S . BASSIGN is Element of F<sub>2</sub>()
R . BASSIGN is Element of F<sub>2</sub>()
F<sub>3</sub>(BASSIGN) is Element of F<sub>2</sub>()
F<sub>1</sub>() is non empty set
[:F<sub>1</sub>(),BOOLEAN:] is non empty set
bool [:F<sub>1</sub>(),BOOLEAN:] is non empty set
(F<sub>1</sub>()) is non empty set
Funcs (F<sub>1</sub>(),BOOLEAN) is non empty FUNCTION_DOMAIN of F<sub>1</sub>(), BOOLEAN
F<sub>2</sub>() is Relation-like F<sub>1</sub>() -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:F<sub>1</sub>(),BOOLEAN:]
F<sub>3</sub>() is Relation-like F<sub>1</sub>() -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:F<sub>1</sub>(),BOOLEAN:]
S is set
F<sub>4</sub>(S,F<sub>2</sub>(),F<sub>3</sub>()) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
S is Relation-like F<sub>1</sub>() -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:F<sub>1</sub>(),BOOLEAN:]
(F<sub>1</sub>(),S) is Relation-like F<sub>1</sub>() -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:F<sub>1</sub>(),BOOLEAN:]
R is set
F<sub>4</sub>(R,F<sub>2</sub>(),F<sub>3</sub>()) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(F<sub>1</sub>(),S) . R is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
F<sub>1</sub>() is non empty set
[:F<sub>1</sub>(),BOOLEAN:] is non empty set
bool [:F<sub>1</sub>(),BOOLEAN:] is non empty set
(F<sub>1</sub>()) is non empty set
Funcs (F<sub>1</sub>(),BOOLEAN) is non empty FUNCTION_DOMAIN of F<sub>1</sub>(), BOOLEAN
F<sub>2</sub>() is Relation-like F<sub>1</sub>() -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:F<sub>1</sub>(),BOOLEAN:]
F<sub>3</sub>() is Relation-like F<sub>1</sub>() -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:F<sub>1</sub>(),BOOLEAN:]
S is set
(F<sub>1</sub>(),S) is Relation-like F<sub>1</sub>() -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:F<sub>1</sub>(),BOOLEAN:]
R is set
(F<sub>1</sub>(),R) is Relation-like F<sub>1</sub>() -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:F<sub>1</sub>(),BOOLEAN:]
BASSIGN is set
(F<sub>1</sub>(),S) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(F<sub>1</sub>(),R) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
F<sub>4</sub>(BASSIGN,F<sub>2</sub>(),F<sub>3</sub>()) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
S is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
R is set
(S,R) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
BASSIGN is set
(S,BASSIGN) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
f is set
(S,R) . f is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(((S,R) . f)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
'not' (((S,R) . f)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
1 - (((S,R) . f)) is V31() V32() ext-real V60() set
(S,BASSIGN) . f is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
BASSIGN is Element of (S)
(S,BASSIGN) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
f is Element of (S)
(S,f) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
S is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
[:(S),(S):] is non empty set
bool [:(S),(S):] is non empty set
BASSIGN is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
f is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
S is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
[:(S),(S):] is non empty set
bool [:(S),(S):] is non empty set
BASSIGN is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
R is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
BASSIGN is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
f is set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
g is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
g . 0 is Element of S
g . 1 is Element of S
BASSIGN . (g . 1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is set
(S,BASSIGN) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
f is set
(S,f) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
g is set
(S,R,(S,BASSIGN),g) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,f) . g is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
f is Element of (S)
(S,f) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
g is Element of (S)
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
[:(S),(S):] is non empty set
bool [:(S),(S):] is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
f is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
g is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
[:(S),(S):] is non empty set
bool [:(S),(S):] is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
f is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
BASSIGN is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
f is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
f is set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
g is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
g . 0 is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is set
(S,BASSIGN) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
f is set
(S,f) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
g is set
(S,R,(S,BASSIGN),g) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,f) . g is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
f is Element of (S)
(S,f) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
g is Element of (S)
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
[:(S),(S):] is non empty set
bool [:(S),(S):] is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
f is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
g is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
[:(S),(S):] is non empty set
bool [:(S),(S):] is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
f is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
BASSIGN is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
f is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
S is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
R is set
(S,R) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
BASSIGN is set
(S,BASSIGN) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
f is set
(S,f) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
g is set
(S,R) . g is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(((S,R) . g)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(S,BASSIGN) . g is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(((S,BASSIGN) . g)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(((S,R) . g)) '&' (((S,BASSIGN) . g)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(((S,R) . g)) * (((S,BASSIGN) . g)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() set
(S,f) . g is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
f is Element of (S)
(S,f) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
g is Element of (S)
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
S is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
BASSIGN is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
f is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
g is Element of (S)
X is Element of (S)
f . (g,X) is Element of (S)
[g,X] is set
{g,X} is non empty set
{g} is non empty trivial V45(1) set
{{g,X},{g}} is non empty set
f . [g,X] is set
(S,g,X) is Element of (S)
g is Element of (S)
X is Element of (S)
BASSIGN . (g,X) is Element of (S)
[g,X] is set
{g,X} is non empty set
{g} is non empty trivial V45(1) set
{{g,X},{g}} is non empty set
BASSIGN . [g,X] is set
(S,g,X) is Element of (S)
BASSIGN is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
f is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
S is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
BASSIGN is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
f is set
g is set
BASSIGN . (f,g) is set
[f,g] is set
{f,g} is non empty set
{f} is non empty trivial V45(1) set
{{f,g},{f}} is non empty set
BASSIGN . [f,g] is set
(S,f,g) is Element of (S)
R is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
BASSIGN is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
g is set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
f is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
X is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
X . 0 is Element of S
h is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
X . h is Element of S
f . (X . h) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is set
(S,BASSIGN) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
f is set
(S,f) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
g is set
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
X is set
(S,R,(S,BASSIGN),(S,f),X) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,g) . X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
g is Element of (S)
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
X is Element of (S)
(S,X) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
f is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
g is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
X is Element of (S)
h is Element of (S)
g . (X,h) is Element of (S)
[X,h] is set
{X,h} is non empty set
{X} is non empty trivial V45(1) set
{{X,h},{X}} is non empty set
g . [X,h] is set
(S,R,X,h) is Element of (S)
X is Element of (S)
h is Element of (S)
f . (X,h) is Element of (S)
[X,h] is set
{X,h} is non empty set
{X} is non empty trivial V45(1) set
{{X,h},{X}} is non empty set
f . [X,h] is set
(S,R,X,h) is Element of (S)
f is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
g is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
f is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
g is set
X is set
f . (g,X) is set
[g,X] is set
{g,X} is non empty set
{g} is non empty trivial V45(1) set
{{g,X},{g}} is non empty set
f . [g,X] is set
(S,R,g,X) is Element of (S)
BASSIGN is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
f is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
S is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is non empty Element of bool (S)
bool R is non empty set
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
BASSIGN is set
f is set
g is set
g is Element of bool R
X is set
h is set
s is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
s . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
f is Element of bool R
g is Element of bool R
S is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is non empty Element of bool (S)
bool R is non empty set
[:S,(bool R):] is non empty set
bool [:S,(bool R):] is non empty set
BASSIGN is set
(S,R,BASSIGN) is Element of bool R
BASSIGN is Relation-like S -defined bool R -valued Function-like quasi_total Element of bool [:S,(bool R):]
f is set
BASSIGN . f is set
(S,R,f) is Element of bool R
BASSIGN is Relation-like S -defined bool R -valued Function-like quasi_total Element of bool [:S,(bool R):]
f is Relation-like S -defined bool R -valued Function-like quasi_total Element of bool [:S,(bool R):]
g is set
BASSIGN . g is set
f . g is set
(S,R,g) is Element of bool R
BASSIGN is Relation-like S -defined bool R -valued Function-like quasi_total Element of bool [:S,(bool R):]
f is Relation-like S -defined bool R -valued Function-like quasi_total Element of bool [:S,(bool R):]
S is non empty set
bool S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
f is non empty Element of bool (S)
R is Element of bool S
BASSIGN is Relation-like S -defined S -valued total Element of bool [:S,S:]
(S,f) is Relation-like S -defined bool f -valued Function-like quasi_total Element of bool [:S,(bool f):]
bool f is non empty set
[:S,(bool f):] is non empty set
bool [:S,(bool f):] is non empty set
(f,S,R,BASSIGN,(S,f)) is (f) (f)
S is non empty set
bool S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Element of bool S
BASSIGN is Relation-like S -defined S -valued total Element of bool [:S,S:]
f is non empty Element of bool (S)
(S,R,BASSIGN,f) is (f)
(S,f) is Relation-like S -defined bool f -valued Function-like quasi_total Element of bool [:S,(bool f):]
bool f is non empty set
[:S,(bool f):] is non empty set
bool [:S,(bool f):] is non empty set
(f,S,R,BASSIGN,(S,f)) is (f) (f)
the carrier of (S,R,BASSIGN,f) is set
S is non empty set
bool S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Element of bool S
BASSIGN is Relation-like S -defined S -valued total Element of bool [:S,S:]
f is non empty Element of bool (S)
(S,R,BASSIGN,f) is (f)
(S,f) is Relation-like S -defined bool f -valued Function-like quasi_total Element of bool [:S,(bool f):]
bool f is non empty set
[:S,(bool f):] is non empty set
bool [:S,(bool f):] is non empty set
(f,S,R,BASSIGN,(S,f)) is (f) (f)
the carrier of (S,R,BASSIGN,f) is non empty set
Funcs ( the carrier of (S,R,BASSIGN,f),BOOLEAN) is non empty FUNCTION_DOMAIN of the carrier of (S,R,BASSIGN,f), BOOLEAN
bool (Funcs ( the carrier of (S,R,BASSIGN,f),BOOLEAN)) is non empty set
( the carrier of (S,R,BASSIGN,f)) is non empty set
g is Element of bool (Funcs ( the carrier of (S,R,BASSIGN,f),BOOLEAN))
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
BASSIGN is non empty Element of bool (S)
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the of (S,R,BASSIGN) is Element of bool the carrier of (S,R,BASSIGN)
the carrier of (S,R,BASSIGN) is set
bool the carrier of (S,R,BASSIGN) is non empty set
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is Element of S
f is non empty Element of bool (S)
(S,R,f) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),f,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,f) is non empty set
bool f is non empty set
(S,f) is Relation-like S -defined bool f -valued Function-like quasi_total Element of bool [:S,(bool f):]
[:S,(bool f):] is non empty set
bool [:S,(bool f):] is non empty set
(S,f) . BASSIGN is Element of bool f
g is Element of the carrier of (S,R,f)
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
(S,g) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,f,BASSIGN) is Element of bool f
(S,f,BASSIGN) is Element of bool f
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
X is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
X . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is Element of S
f is non empty Element of bool (S)
(S,R,f) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),f,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,f) is non empty set
g is Element of the carrier of (S,R,f)
g ` is Element of the carrier of (S,R,f)
the Compl of (S,R,f) is Relation-like the carrier of (S,R,f) -defined the carrier of (S,R,f) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,f), the carrier of (S,R,f):]
[: the carrier of (S,R,f), the carrier of (S,R,f):] is non empty set
bool [: the carrier of (S,R,f), the carrier of (S,R,f):] is non empty set
the Compl of (S,R,f) . g is Element of the carrier of (S,R,f)
(S,g) is Element of (S)
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
(S,g) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(((S,g) . BASSIGN)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
'not' (((S,g) . BASSIGN)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
1 - (((S,g) . BASSIGN)) is V31() V32() ext-real V60() set
(S,(g `)) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
(S,(g `)) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,(S,g)) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
(S,(S,g)) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
(S,g) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(((S,g) . BASSIGN)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
'not' (((S,g) . BASSIGN)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
1 - (((S,g) . BASSIGN)) is V31() V32() ext-real V60() set
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is Element of S
f is non empty Element of bool (S)
(S,R,f) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),f,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,f) is non empty set
g is Element of the carrier of (S,R,f)
X is Element of the carrier of (S,R,f)
g "/\" X is Element of the carrier of (S,R,f)
the L_meet of (S,R,f) is Relation-like [: the carrier of (S,R,f), the carrier of (S,R,f):] -defined the carrier of (S,R,f) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,f), the carrier of (S,R,f):], the carrier of (S,R,f):]
[: the carrier of (S,R,f), the carrier of (S,R,f):] is non empty set
[:[: the carrier of (S,R,f), the carrier of (S,R,f):], the carrier of (S,R,f):] is non empty set
bool [:[: the carrier of (S,R,f), the carrier of (S,R,f):], the carrier of (S,R,f):] is non empty set
the L_meet of (S,R,f) . (g,X) is Element of the carrier of (S,R,f)
[g,X] is set
{g,X} is non empty set
{g} is non empty trivial V45(1) set
{{g,X},{g}} is non empty set
the L_meet of (S,R,f) . [g,X] is set
(S,g,X) is Element of (S)
(S,(S,g,X)) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
(S,(S,g,X)) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
(S,g) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(((S,g) . BASSIGN)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(S,X) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
(S,X) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(((S,X) . BASSIGN)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(((S,g) . BASSIGN)) '&' (((S,X) . BASSIGN)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(((S,g) . BASSIGN)) * (((S,X) . BASSIGN)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() set
(S,X) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
(S,X) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
(S,g) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(((S,g) . BASSIGN)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(((S,X) . BASSIGN)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(((S,g) . BASSIGN)) '&' (((S,X) . BASSIGN)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(((S,g) . BASSIGN)) * (((S,X) . BASSIGN)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() set
(S,(g "/\" X)) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
(S,(g "/\" X)) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is Element of S
f is non empty Element of bool (S)
(S,R,f) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),f,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,f) is non empty set
g is Element of the carrier of (S,R,f)
((S,R,f),g) is Element of the carrier of (S,R,f)
the of (S,R,f) is Relation-like the carrier of (S,R,f) -defined the carrier of (S,R,f) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,f), the carrier of (S,R,f):]
[: the carrier of (S,R,f), the carrier of (S,R,f):] is non empty set
bool [: the carrier of (S,R,f), the carrier of (S,R,f):] is non empty set
the of (S,R,f) . g is Element of the carrier of (S,R,f)
(S,R,g) is Element of (S)
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
X is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
X . 0 is Element of S
X . 1 is Element of S
X is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
X . 0 is Element of S
X . 1 is Element of S
(S,g) . (X . 1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,R,(S,g),BASSIGN) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
X is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
X . 0 is Element of S
X . 1 is Element of S
(S,g) . (X . 1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,((S,R,f),g)) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
(S,((S,R,f),g)) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,(S,R,g)) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
(S,(S,R,g)) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
(S,R,(S,g),BASSIGN) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
X is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
X . 0 is Element of S
X . 1 is Element of S
(S,g) . (X . 1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
X is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
X . 0 is Element of S
X . 1 is Element of S
h is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
h . 0 is Element of S
h . 1 is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is Element of S
f is non empty Element of bool (S)
(S,R,f) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),f,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,f) is non empty set
g is Element of the carrier of (S,R,f)
((S,R,f),g) is Element of the carrier of (S,R,f)
the of (S,R,f) is Relation-like the carrier of (S,R,f) -defined the carrier of (S,R,f) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,f), the carrier of (S,R,f):]
[: the carrier of (S,R,f), the carrier of (S,R,f):] is non empty set
bool [: the carrier of (S,R,f), the carrier of (S,R,f):] is non empty set
the of (S,R,f) . g is Element of the carrier of (S,R,f)
(S,R,g) is Element of (S)
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
X is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
X . 0 is Element of S
X is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
X . 0 is Element of S
h is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
X . h is Element of S
(S,g) . (X . h) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
h is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
X . h is Element of S
(S,g) . (X . h) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,R,(S,g),BASSIGN) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
X is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
X . 0 is Element of S
(S,((S,R,f),g)) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
(S,((S,R,f),g)) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,(S,R,g)) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
(S,(S,R,g)) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
(S,R,(S,g),BASSIGN) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
X is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
X . 0 is Element of S
h is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
X . h is Element of S
(S,g) . (X . h) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
h is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
X . h is Element of S
X is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
X . 0 is Element of S
h is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
h . 0 is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is Element of S
f is non empty Element of bool (S)
(S,R,f) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),f,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,f) is non empty set
g is Element of the carrier of (S,R,f)
X is Element of the carrier of (S,R,f)
((S,R,f),g,X) is Element of the carrier of (S,R,f)
the of (S,R,f) is Relation-like [: the carrier of (S,R,f), the carrier of (S,R,f):] -defined the carrier of (S,R,f) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,f), the carrier of (S,R,f):], the carrier of (S,R,f):]
[: the carrier of (S,R,f), the carrier of (S,R,f):] is non empty set
[:[: the carrier of (S,R,f), the carrier of (S,R,f):], the carrier of (S,R,f):] is non empty set
bool [:[: the carrier of (S,R,f), the carrier of (S,R,f):], the carrier of (S,R,f):] is non empty set
the of (S,R,f) . (g,X) is Element of the carrier of (S,R,f)
[g,X] is set
{g,X} is non empty set
{g} is non empty trivial V45(1) set
{{g,X},{g}} is non empty set
the of (S,R,f) . [g,X] is set
(S,R,g,X) is Element of (S)
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
(S,X) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
h is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
h . 0 is Element of S
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s is Element of S
h is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
h . 0 is Element of S
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s is Element of S
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s is Element of S
(S,X) . (h . s) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s1 is Element of S
(S,g) . (h . s1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s1 is Element of S
(S,g) . (h . s1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s is Element of S
(S,X) . (h . s) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,R,(S,g),(S,X),BASSIGN) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
h is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
h . 0 is Element of S
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s is Element of S
(S,X) . (h . s) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,((S,R,f),g,X)) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
(S,((S,R,f),g,X)) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,(S,R,g,X)) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
(S,(S,R,g,X)) . BASSIGN is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
(S,X) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
(S,R,(S,g),(S,X),BASSIGN) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
h is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
h . 0 is Element of S
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s is Element of S
(S,X) . (h . s) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s is Element of S
(S,X) . (h . s) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s1 is Element of S
(S,g) . (h . s1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s1 is Element of S
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s is Element of S
h is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
h . 0 is Element of S
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s is Element of S
s1 is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
s1 . 0 is Element of S
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s1 . s is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is Element of S
f is non empty Element of bool (S)
(S,R,f) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),f,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,f) is non empty set
g is Element of the carrier of (S,R,f)
X is Element of the carrier of (S,R,f)
((S,R,f),g,X) is Element of the carrier of (S,R,f)
g ` is Element of the carrier of (S,R,f)
the Compl of (S,R,f) is Relation-like the carrier of (S,R,f) -defined the carrier of (S,R,f) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,f), the carrier of (S,R,f):]
[: the carrier of (S,R,f), the carrier of (S,R,f):] is non empty set
bool [: the carrier of (S,R,f), the carrier of (S,R,f):] is non empty set
the Compl of (S,R,f) . g is Element of the carrier of (S,R,f)
X ` is Element of the carrier of (S,R,f)
the Compl of (S,R,f) . X is Element of the carrier of (S,R,f)
(g `) "/\" (X `) is Element of the carrier of (S,R,f)
the L_meet of (S,R,f) is Relation-like [: the carrier of (S,R,f), the carrier of (S,R,f):] -defined the carrier of (S,R,f) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,f), the carrier of (S,R,f):], the carrier of (S,R,f):]
[:[: the carrier of (S,R,f), the carrier of (S,R,f):], the carrier of (S,R,f):] is non empty set
bool [:[: the carrier of (S,R,f), the carrier of (S,R,f):], the carrier of (S,R,f):] is non empty set
the L_meet of (S,R,f) . ((g `),(X `)) is Element of the carrier of (S,R,f)
[(g `),(X `)] is set
{(g `),(X `)} is non empty set
{(g `)} is non empty trivial V45(1) set
{{(g `),(X `)},{(g `)}} is non empty set
the L_meet of (S,R,f) . [(g `),(X `)] is set
((g `) "/\" (X `)) ` is Element of the carrier of (S,R,f)
the Compl of (S,R,f) . ((g `) "/\" (X `)) is Element of the carrier of (S,R,f)
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the of (S,R,BASSIGN) is non empty Element of bool the carrier of (S,R,BASSIGN)
the carrier of (S,R,BASSIGN) is non empty set
bool the carrier of (S,R,BASSIGN) is non empty set
[:(), the of (S,R,BASSIGN):] is set
bool [:(), the of (S,R,BASSIGN):] is non empty set
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the of (S,R,BASSIGN) is non empty Element of bool the carrier of (S,R,BASSIGN)
the carrier of (S,R,BASSIGN) is non empty set
bool the carrier of (S,R,BASSIGN) is non empty set
[:(), the of (S,R,BASSIGN):] is set
bool [:(), the of (S,R,BASSIGN):] is non empty set
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
R is non empty set
[:R,R:] is non empty set
bool [:R,R:] is non empty set
(R) is non empty set
Funcs (R,BOOLEAN) is non empty FUNCTION_DOMAIN of R, BOOLEAN
bool (R) is non empty set
BASSIGN is Relation-like R -defined R -valued total Element of bool [:R,R:]
f is Element of R
g is non empty Element of bool (R)
(R,BASSIGN,g) is non empty () ()
(R) is Relation-like [:(R),(R):] -defined (R) -valued Function-like quasi_total Element of bool [:[:(R),(R):],(R):]
[:(R),(R):] is non empty set
[:[:(R),(R):],(R):] is non empty set
bool [:[:(R),(R):],(R):] is non empty set
(R) is Relation-like (R) -defined (R) -valued Function-like quasi_total Element of bool [:(R),(R):]
bool [:(R),(R):] is non empty set
(R,BASSIGN) is Relation-like (R) -defined (R) -valued Function-like quasi_total Element of bool [:(R),(R):]
(R,BASSIGN) is Relation-like (R) -defined (R) -valued Function-like quasi_total Element of bool [:(R),(R):]
(R,BASSIGN) is Relation-like [:(R),(R):] -defined (R) -valued Function-like quasi_total Element of bool [:[:(R),(R):],(R):]
((R),g,(R),(R),(R,BASSIGN),(R,BASSIGN),(R,BASSIGN)) is () ()
the of (R,BASSIGN,g) is non empty Element of bool the carrier of (R,BASSIGN,g)
the carrier of (R,BASSIGN,g) is non empty set
bool the carrier of (R,BASSIGN,g) is non empty set
[:(), the of (R,BASSIGN,g):] is set
bool [:(), the of (R,BASSIGN,g):] is non empty set
bool g is non empty set
(R,g) is Relation-like R -defined bool g -valued Function-like quasi_total Element of bool [:R,(bool g):]
[:R,(bool g):] is non empty set
bool [:R,(bool g):] is non empty set
(R,g) . f is Element of bool g
X is Relation-like () -defined the of (R,BASSIGN,g) -valued Function-like quasi_total Element of bool [:(), the of (R,BASSIGN,g):]
X . S is set
[:(), the carrier of (R,BASSIGN,g):] is non empty set
bool [:(), the carrier of (R,BASSIGN,g):] is non empty set
((R,BASSIGN,g),X,S) is Element of the carrier of (R,BASSIGN,g)
h is Relation-like () -defined the carrier of (R,BASSIGN,g) -valued Function-like quasi_total Element of bool [:(), the carrier of (R,BASSIGN,g):]
h . S is set
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is non empty set
[:R,R:] is non empty set
bool [:R,R:] is non empty set
(R) is non empty set
Funcs (R,BOOLEAN) is non empty FUNCTION_DOMAIN of R, BOOLEAN
bool (R) is non empty set
BASSIGN is Relation-like R -defined R -valued total Element of bool [:R,R:]
f is Element of R
g is non empty Element of bool (R)
(R,BASSIGN,g) is non empty () ()
(R) is Relation-like [:(R),(R):] -defined (R) -valued Function-like quasi_total Element of bool [:[:(R),(R):],(R):]
[:(R),(R):] is non empty set
[:[:(R),(R):],(R):] is non empty set
bool [:[:(R),(R):],(R):] is non empty set
(R) is Relation-like (R) -defined (R) -valued Function-like quasi_total Element of bool [:(R),(R):]
bool [:(R),(R):] is non empty set
(R,BASSIGN) is Relation-like (R) -defined (R) -valued Function-like quasi_total Element of bool [:(R),(R):]
(R,BASSIGN) is Relation-like (R) -defined (R) -valued Function-like quasi_total Element of bool [:(R),(R):]
(R,BASSIGN) is Relation-like [:(R),(R):] -defined (R) -valued Function-like quasi_total Element of bool [:[:(R),(R):],(R):]
((R),g,(R),(R),(R,BASSIGN),(R,BASSIGN),(R,BASSIGN)) is () ()
the of (R,BASSIGN,g) is non empty Element of bool the carrier of (R,BASSIGN,g)
the carrier of (R,BASSIGN,g) is non empty set
bool the carrier of (R,BASSIGN,g) is non empty set
[:(), the of (R,BASSIGN,g):] is set
bool [:(), the of (R,BASSIGN,g):] is non empty set
X is Relation-like () -defined the of (R,BASSIGN,g) -valued Function-like quasi_total Element of bool [:(), the of (R,BASSIGN,g):]
((R,BASSIGN,g),X,(S)) is Element of the carrier of (R,BASSIGN,g)
((R,BASSIGN,g),X,S) is Element of the carrier of (R,BASSIGN,g)
((R,BASSIGN,g),X,S) ` is Element of the carrier of (R,BASSIGN,g)
the Compl of (R,BASSIGN,g) is Relation-like the carrier of (R,BASSIGN,g) -defined the carrier of (R,BASSIGN,g) -valued Function-like quasi_total Element of bool [: the carrier of (R,BASSIGN,g), the carrier of (R,BASSIGN,g):]
[: the carrier of (R,BASSIGN,g), the carrier of (R,BASSIGN,g):] is non empty set
bool [: the carrier of (R,BASSIGN,g), the carrier of (R,BASSIGN,g):] is non empty set
the Compl of (R,BASSIGN,g) . ((R,BASSIGN,g),X,S) is Element of the carrier of (R,BASSIGN,g)
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S,R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ S) ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
BASSIGN is non empty set
[:BASSIGN,BASSIGN:] is non empty set
bool [:BASSIGN,BASSIGN:] is non empty set
(BASSIGN) is non empty set
Funcs (BASSIGN,BOOLEAN) is non empty FUNCTION_DOMAIN of BASSIGN, BOOLEAN
bool (BASSIGN) is non empty set
f is Relation-like BASSIGN -defined BASSIGN -valued total Element of bool [:BASSIGN,BASSIGN:]
g is Element of BASSIGN
X is non empty Element of bool (BASSIGN)
(BASSIGN,f,X) is non empty () ()
(BASSIGN) is Relation-like [:(BASSIGN),(BASSIGN):] -defined (BASSIGN) -valued Function-like quasi_total Element of bool [:[:(BASSIGN),(BASSIGN):],(BASSIGN):]
[:(BASSIGN),(BASSIGN):] is non empty set
[:[:(BASSIGN),(BASSIGN):],(BASSIGN):] is non empty set
bool [:[:(BASSIGN),(BASSIGN):],(BASSIGN):] is non empty set
(BASSIGN) is Relation-like (BASSIGN) -defined (BASSIGN) -valued Function-like quasi_total Element of bool [:(BASSIGN),(BASSIGN):]
bool [:(BASSIGN),(BASSIGN):] is non empty set
(BASSIGN,f) is Relation-like (BASSIGN) -defined (BASSIGN) -valued Function-like quasi_total Element of bool [:(BASSIGN),(BASSIGN):]
(BASSIGN,f) is Relation-like (BASSIGN) -defined (BASSIGN) -valued Function-like quasi_total Element of bool [:(BASSIGN),(BASSIGN):]
(BASSIGN,f) is Relation-like [:(BASSIGN),(BASSIGN):] -defined (BASSIGN) -valued Function-like quasi_total Element of bool [:[:(BASSIGN),(BASSIGN):],(BASSIGN):]
((BASSIGN),X,(BASSIGN),(BASSIGN),(BASSIGN,f),(BASSIGN,f),(BASSIGN,f)) is () ()
the of (BASSIGN,f,X) is non empty Element of bool the carrier of (BASSIGN,f,X)
the carrier of (BASSIGN,f,X) is non empty set
bool the carrier of (BASSIGN,f,X) is non empty set
[:(), the of (BASSIGN,f,X):] is set
bool [:(), the of (BASSIGN,f,X):] is non empty set
h is Relation-like () -defined the of (BASSIGN,f,X) -valued Function-like quasi_total Element of bool [:(), the of (BASSIGN,f,X):]
((BASSIGN,f,X),h,(S,R)) is Element of the carrier of (BASSIGN,f,X)
((BASSIGN,f,X),h,S) is Element of the carrier of (BASSIGN,f,X)
((BASSIGN,f,X),h,R) is Element of the carrier of (BASSIGN,f,X)
((BASSIGN,f,X),h,S) "/\" ((BASSIGN,f,X),h,R) is Element of the carrier of (BASSIGN,f,X)
the L_meet of (BASSIGN,f,X) is Relation-like [: the carrier of (BASSIGN,f,X), the carrier of (BASSIGN,f,X):] -defined the carrier of (BASSIGN,f,X) -valued Function-like quasi_total Element of bool [:[: the carrier of (BASSIGN,f,X), the carrier of (BASSIGN,f,X):], the carrier of (BASSIGN,f,X):]
[: the carrier of (BASSIGN,f,X), the carrier of (BASSIGN,f,X):] is non empty set
[:[: the carrier of (BASSIGN,f,X), the carrier of (BASSIGN,f,X):], the carrier of (BASSIGN,f,X):] is non empty set
bool [:[: the carrier of (BASSIGN,f,X), the carrier of (BASSIGN,f,X):], the carrier of (BASSIGN,f,X):] is non empty set
the L_meet of (BASSIGN,f,X) . (((BASSIGN,f,X),h,S),((BASSIGN,f,X),h,R)) is Element of the carrier of (BASSIGN,f,X)
[((BASSIGN,f,X),h,S),((BASSIGN,f,X),h,R)] is set
{((BASSIGN,f,X),h,S),((BASSIGN,f,X),h,R)} is non empty set
{((BASSIGN,f,X),h,S)} is non empty trivial V45(1) set
{{((BASSIGN,f,X),h,S),((BASSIGN,f,X),h,R)},{((BASSIGN,f,X),h,S)}} is non empty set
the L_meet of (BASSIGN,f,X) . [((BASSIGN,f,X),h,S),((BASSIGN,f,X),h,R)] is set
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S,R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
((S),(R)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*1*> ^ (S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*1*> ^ (S)) ^ (R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(((S),(R))) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*0*> ^ ((S),(R)) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
BASSIGN is non empty set
[:BASSIGN,BASSIGN:] is non empty set
bool [:BASSIGN,BASSIGN:] is non empty set
(BASSIGN) is non empty set
Funcs (BASSIGN,BOOLEAN) is non empty FUNCTION_DOMAIN of BASSIGN, BOOLEAN
bool (BASSIGN) is non empty set
f is Relation-like BASSIGN -defined BASSIGN -valued total Element of bool [:BASSIGN,BASSIGN:]
g is Element of BASSIGN
X is non empty Element of bool (BASSIGN)
(BASSIGN,f,X) is non empty () ()
(BASSIGN) is Relation-like [:(BASSIGN),(BASSIGN):] -defined (BASSIGN) -valued Function-like quasi_total Element of bool [:[:(BASSIGN),(BASSIGN):],(BASSIGN):]
[:(BASSIGN),(BASSIGN):] is non empty set
[:[:(BASSIGN),(BASSIGN):],(BASSIGN):] is non empty set
bool [:[:(BASSIGN),(BASSIGN):],(BASSIGN):] is non empty set
(BASSIGN) is Relation-like (BASSIGN) -defined (BASSIGN) -valued Function-like quasi_total Element of bool [:(BASSIGN),(BASSIGN):]
bool [:(BASSIGN),(BASSIGN):] is non empty set
(BASSIGN,f) is Relation-like (BASSIGN) -defined (BASSIGN) -valued Function-like quasi_total Element of bool [:(BASSIGN),(BASSIGN):]
(BASSIGN,f) is Relation-like (BASSIGN) -defined (BASSIGN) -valued Function-like quasi_total Element of bool [:(BASSIGN),(BASSIGN):]
(BASSIGN,f) is Relation-like [:(BASSIGN),(BASSIGN):] -defined (BASSIGN) -valued Function-like quasi_total Element of bool [:[:(BASSIGN),(BASSIGN):],(BASSIGN):]
((BASSIGN),X,(BASSIGN),(BASSIGN),(BASSIGN,f),(BASSIGN,f),(BASSIGN,f)) is () ()
the of (BASSIGN,f,X) is non empty Element of bool the carrier of (BASSIGN,f,X)
the carrier of (BASSIGN,f,X) is non empty set
bool the carrier of (BASSIGN,f,X) is non empty set
[:(), the of (BASSIGN,f,X):] is set
bool [:(), the of (BASSIGN,f,X):] is non empty set
h is Relation-like () -defined the of (BASSIGN,f,X) -valued Function-like quasi_total Element of bool [:(), the of (BASSIGN,f,X):]
((BASSIGN,f,X),h,(S,R)) is Element of the carrier of (BASSIGN,f,X)
((BASSIGN,f,X),h,S) is Element of the carrier of (BASSIGN,f,X)
((BASSIGN,f,X),h,R) is Element of the carrier of (BASSIGN,f,X)
((BASSIGN,f,X),((BASSIGN,f,X),h,S),((BASSIGN,f,X),h,R)) is Element of the carrier of (BASSIGN,f,X)
((BASSIGN,f,X),h,S) ` is Element of the carrier of (BASSIGN,f,X)
the Compl of (BASSIGN,f,X) is Relation-like the carrier of (BASSIGN,f,X) -defined the carrier of (BASSIGN,f,X) -valued Function-like quasi_total Element of bool [: the carrier of (BASSIGN,f,X), the carrier of (BASSIGN,f,X):]
[: the carrier of (BASSIGN,f,X), the carrier of (BASSIGN,f,X):] is non empty set
bool [: the carrier of (BASSIGN,f,X), the carrier of (BASSIGN,f,X):] is non empty set
the Compl of (BASSIGN,f,X) . ((BASSIGN,f,X),h,S) is Element of the carrier of (BASSIGN,f,X)
((BASSIGN,f,X),h,R) ` is Element of the carrier of (BASSIGN,f,X)
the Compl of (BASSIGN,f,X) . ((BASSIGN,f,X),h,R) is Element of the carrier of (BASSIGN,f,X)
(((BASSIGN,f,X),h,S) `) "/\" (((BASSIGN,f,X),h,R) `) is Element of the carrier of (BASSIGN,f,X)
the L_meet of (BASSIGN,f,X) is Relation-like [: the carrier of (BASSIGN,f,X), the carrier of (BASSIGN,f,X):] -defined the carrier of (BASSIGN,f,X) -valued Function-like quasi_total Element of bool [:[: the carrier of (BASSIGN,f,X), the carrier of (BASSIGN,f,X):], the carrier of (BASSIGN,f,X):]
[:[: the carrier of (BASSIGN,f,X), the carrier of (BASSIGN,f,X):], the carrier of (BASSIGN,f,X):] is non empty set
bool [:[: the carrier of (BASSIGN,f,X), the carrier of (BASSIGN,f,X):], the carrier of (BASSIGN,f,X):] is non empty set
the L_meet of (BASSIGN,f,X) . ((((BASSIGN,f,X),h,S) `),(((BASSIGN,f,X),h,R) `)) is Element of the carrier of (BASSIGN,f,X)
[(((BASSIGN,f,X),h,S) `),(((BASSIGN,f,X),h,R) `)] is set
{(((BASSIGN,f,X),h,S) `),(((BASSIGN,f,X),h,R) `)} is non empty set
{(((BASSIGN,f,X),h,S) `)} is non empty trivial V45(1) set
{{(((BASSIGN,f,X),h,S) `),(((BASSIGN,f,X),h,R) `)},{(((BASSIGN,f,X),h,S) `)}} is non empty set
the L_meet of (BASSIGN,f,X) . [(((BASSIGN,f,X),h,S) `),(((BASSIGN,f,X),h,R) `)] is set
((((BASSIGN,f,X),h,S) `) "/\" (((BASSIGN,f,X),h,R) `)) ` is Element of the carrier of (BASSIGN,f,X)
the Compl of (BASSIGN,f,X) . ((((BASSIGN,f,X),h,S) `) "/\" (((BASSIGN,f,X),h,R) `)) is Element of the carrier of (BASSIGN,f,X)
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*2*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is non empty set
[:R,R:] is non empty set
bool [:R,R:] is non empty set
(R) is non empty set
Funcs (R,BOOLEAN) is non empty FUNCTION_DOMAIN of R, BOOLEAN
bool (R) is non empty set
BASSIGN is Relation-like R -defined R -valued total Element of bool [:R,R:]
f is Element of R
g is non empty Element of bool (R)
(R,BASSIGN,g) is non empty () ()
(R) is Relation-like [:(R),(R):] -defined (R) -valued Function-like quasi_total Element of bool [:[:(R),(R):],(R):]
[:(R),(R):] is non empty set
[:[:(R),(R):],(R):] is non empty set
bool [:[:(R),(R):],(R):] is non empty set
(R) is Relation-like (R) -defined (R) -valued Function-like quasi_total Element of bool [:(R),(R):]
bool [:(R),(R):] is non empty set
(R,BASSIGN) is Relation-like (R) -defined (R) -valued Function-like quasi_total Element of bool [:(R),(R):]
(R,BASSIGN) is Relation-like (R) -defined (R) -valued Function-like quasi_total Element of bool [:(R),(R):]
(R,BASSIGN) is Relation-like [:(R),(R):] -defined (R) -valued Function-like quasi_total Element of bool [:[:(R),(R):],(R):]
((R),g,(R),(R),(R,BASSIGN),(R,BASSIGN),(R,BASSIGN)) is () ()
the of (R,BASSIGN,g) is non empty Element of bool the carrier of (R,BASSIGN,g)
the carrier of (R,BASSIGN,g) is non empty set
bool the carrier of (R,BASSIGN,g) is non empty set
[:(), the of (R,BASSIGN,g):] is set
bool [:(), the of (R,BASSIGN,g):] is non empty set
X is Relation-like () -defined the of (R,BASSIGN,g) -valued Function-like quasi_total Element of bool [:(), the of (R,BASSIGN,g):]
((R,BASSIGN,g),X,S) is Element of the carrier of (R,BASSIGN,g)
h is Relation-like NAT -defined R -valued Function-like quasi_total (R,BASSIGN)
h . 0 is Element of R
h . 1 is Element of R
h is Relation-like NAT -defined R -valued Function-like quasi_total (R,BASSIGN)
h . 0 is Element of R
h . 1 is Element of R
((R,BASSIGN,g),X,(S)) is Element of the carrier of (R,BASSIGN,g)
((R,BASSIGN,g),((R,BASSIGN,g),X,S)) is Element of the carrier of (R,BASSIGN,g)
the of (R,BASSIGN,g) is Relation-like the carrier of (R,BASSIGN,g) -defined the carrier of (R,BASSIGN,g) -valued Function-like quasi_total Element of bool [: the carrier of (R,BASSIGN,g), the carrier of (R,BASSIGN,g):]
[: the carrier of (R,BASSIGN,g), the carrier of (R,BASSIGN,g):] is non empty set
bool [: the carrier of (R,BASSIGN,g), the carrier of (R,BASSIGN,g):] is non empty set
the of (R,BASSIGN,g) . ((R,BASSIGN,g),X,S) is Element of the carrier of (R,BASSIGN,g)
h is Relation-like NAT -defined R -valued Function-like quasi_total (R,BASSIGN)
h . 0 is Element of R
h . 1 is Element of R
s is Relation-like NAT -defined R -valued Function-like quasi_total (R,BASSIGN)
s . 0 is Element of R
s . 1 is Element of R
s1 is Relation-like NAT -defined R -valued Function-like quasi_total (R,BASSIGN)
s1 . 0 is Element of R
s1 . 1 is Element of R
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*3*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
R is non empty set
[:R,R:] is non empty set
bool [:R,R:] is non empty set
(R) is non empty set
Funcs (R,BOOLEAN) is non empty FUNCTION_DOMAIN of R, BOOLEAN
bool (R) is non empty set
BASSIGN is Relation-like R -defined R -valued total Element of bool [:R,R:]
f is Element of R
g is non empty Element of bool (R)
(R,BASSIGN,g) is non empty () ()
(R) is Relation-like [:(R),(R):] -defined (R) -valued Function-like quasi_total Element of bool [:[:(R),(R):],(R):]
[:(R),(R):] is non empty set
[:[:(R),(R):],(R):] is non empty set
bool [:[:(R),(R):],(R):] is non empty set
(R) is Relation-like (R) -defined (R) -valued Function-like quasi_total Element of bool [:(R),(R):]
bool [:(R),(R):] is non empty set
(R,BASSIGN) is Relation-like (R) -defined (R) -valued Function-like quasi_total Element of bool [:(R),(R):]
(R,BASSIGN) is Relation-like (R) -defined (R) -valued Function-like quasi_total Element of bool [:(R),(R):]
(R,BASSIGN) is Relation-like [:(R),(R):] -defined (R) -valued Function-like quasi_total Element of bool [:[:(R),(R):],(R):]
((R),g,(R),(R),(R,BASSIGN),(R,BASSIGN),(R,BASSIGN)) is () ()
the of (R,BASSIGN,g) is non empty Element of bool the carrier of (R,BASSIGN,g)
the carrier of (R,BASSIGN,g) is non empty set
bool the carrier of (R,BASSIGN,g) is non empty set
[:(), the of (R,BASSIGN,g):] is set
bool [:(), the of (R,BASSIGN,g):] is non empty set
X is Relation-like () -defined the of (R,BASSIGN,g) -valued Function-like quasi_total Element of bool [:(), the of (R,BASSIGN,g):]
((R,BASSIGN,g),X,S) is Element of the carrier of (R,BASSIGN,g)
h is Relation-like NAT -defined R -valued Function-like quasi_total (R,BASSIGN)
h . 0 is Element of R
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s is Element of R
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s is Element of R
h is Relation-like NAT -defined R -valued Function-like quasi_total (R,BASSIGN)
h . 0 is Element of R
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s is Element of R
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s is Element of R
((R,BASSIGN,g),X,(S)) is Element of the carrier of (R,BASSIGN,g)
((R,BASSIGN,g),((R,BASSIGN,g),X,S)) is Element of the carrier of (R,BASSIGN,g)
the of (R,BASSIGN,g) is Relation-like the carrier of (R,BASSIGN,g) -defined the carrier of (R,BASSIGN,g) -valued Function-like quasi_total Element of bool [: the carrier of (R,BASSIGN,g), the carrier of (R,BASSIGN,g):]
[: the carrier of (R,BASSIGN,g), the carrier of (R,BASSIGN,g):] is non empty set
bool [: the carrier of (R,BASSIGN,g), the carrier of (R,BASSIGN,g):] is non empty set
the of (R,BASSIGN,g) . ((R,BASSIGN,g),X,S) is Element of the carrier of (R,BASSIGN,g)
h is Relation-like NAT -defined R -valued Function-like quasi_total (R,BASSIGN)
h . 0 is Element of R
s is Relation-like NAT -defined R -valued Function-like quasi_total (R,BASSIGN)
s . 0 is Element of R
s1 is Relation-like NAT -defined R -valued Function-like quasi_total (R,BASSIGN)
s1 . 0 is Element of R
S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
(S,R) is Relation-like NAT -defined NAT -valued Function-like FinSequence-like () FinSequence of NAT
<*4*> ^ S is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
(<*4*> ^ S) ^ R is Relation-like NAT -defined NAT -valued Function-like FinSequence-like FinSequence of NAT
BASSIGN is non empty set
[:BASSIGN,BASSIGN:] is non empty set
bool [:BASSIGN,BASSIGN:] is non empty set
(BASSIGN) is non empty set
Funcs (BASSIGN,BOOLEAN) is non empty FUNCTION_DOMAIN of BASSIGN, BOOLEAN
bool (BASSIGN) is non empty set
f is Relation-like BASSIGN -defined BASSIGN -valued total Element of bool [:BASSIGN,BASSIGN:]
g is Element of BASSIGN
X is non empty Element of bool (BASSIGN)
(BASSIGN,f,X) is non empty () ()
(BASSIGN) is Relation-like [:(BASSIGN),(BASSIGN):] -defined (BASSIGN) -valued Function-like quasi_total Element of bool [:[:(BASSIGN),(BASSIGN):],(BASSIGN):]
[:(BASSIGN),(BASSIGN):] is non empty set
[:[:(BASSIGN),(BASSIGN):],(BASSIGN):] is non empty set
bool [:[:(BASSIGN),(BASSIGN):],(BASSIGN):] is non empty set
(BASSIGN) is Relation-like (BASSIGN) -defined (BASSIGN) -valued Function-like quasi_total Element of bool [:(BASSIGN),(BASSIGN):]
bool [:(BASSIGN),(BASSIGN):] is non empty set
(BASSIGN,f) is Relation-like (BASSIGN) -defined (BASSIGN) -valued Function-like quasi_total Element of bool [:(BASSIGN),(BASSIGN):]
(BASSIGN,f) is Relation-like (BASSIGN) -defined (BASSIGN) -valued Function-like quasi_total Element of bool [:(BASSIGN),(BASSIGN):]
(BASSIGN,f) is Relation-like [:(BASSIGN),(BASSIGN):] -defined (BASSIGN) -valued Function-like quasi_total Element of bool [:[:(BASSIGN),(BASSIGN):],(BASSIGN):]
((BASSIGN),X,(BASSIGN),(BASSIGN),(BASSIGN,f),(BASSIGN,f),(BASSIGN,f)) is () ()
the of (BASSIGN,f,X) is non empty Element of bool the carrier of (BASSIGN,f,X)
the carrier of (BASSIGN,f,X) is non empty set
bool the carrier of (BASSIGN,f,X) is non empty set
[:(), the of (BASSIGN,f,X):] is set
bool [:(), the of (BASSIGN,f,X):] is non empty set
h is Relation-like () -defined the of (BASSIGN,f,X) -valued Function-like quasi_total Element of bool [:(), the of (BASSIGN,f,X):]
((BASSIGN,f,X),h,S) is Element of the carrier of (BASSIGN,f,X)
((BASSIGN,f,X),h,R) is Element of the carrier of (BASSIGN,f,X)
s is Relation-like NAT -defined BASSIGN -valued Function-like quasi_total (BASSIGN,f)
s . 0 is Element of BASSIGN
s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . s1 is Element of BASSIGN
s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . s1 is Element of BASSIGN
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . s is Element of BASSIGN
s is Relation-like NAT -defined BASSIGN -valued Function-like quasi_total (BASSIGN,f)
s . 0 is Element of BASSIGN
s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . s1 is Element of BASSIGN
s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . s1 is Element of BASSIGN
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . s is Element of BASSIGN
((BASSIGN,f,X),h,(S,R)) is Element of the carrier of (BASSIGN,f,X)
((BASSIGN,f,X),((BASSIGN,f,X),h,S),((BASSIGN,f,X),h,R)) is Element of the carrier of (BASSIGN,f,X)
the of (BASSIGN,f,X) is Relation-like [: the carrier of (BASSIGN,f,X), the carrier of (BASSIGN,f,X):] -defined the carrier of (BASSIGN,f,X) -valued Function-like quasi_total Element of bool [:[: the carrier of (BASSIGN,f,X), the carrier of (BASSIGN,f,X):], the carrier of (BASSIGN,f,X):]
[: the carrier of (BASSIGN,f,X), the carrier of (BASSIGN,f,X):] is non empty set
[:[: the carrier of (BASSIGN,f,X), the carrier of (BASSIGN,f,X):], the carrier of (BASSIGN,f,X):] is non empty set
bool [:[: the carrier of (BASSIGN,f,X), the carrier of (BASSIGN,f,X):], the carrier of (BASSIGN,f,X):] is non empty set
the of (BASSIGN,f,X) . (((BASSIGN,f,X),h,S),((BASSIGN,f,X),h,R)) is Element of the carrier of (BASSIGN,f,X)
[((BASSIGN,f,X),h,S),((BASSIGN,f,X),h,R)] is set
{((BASSIGN,f,X),h,S),((BASSIGN,f,X),h,R)} is non empty set
{((BASSIGN,f,X),h,S)} is non empty trivial V45(1) set
{{((BASSIGN,f,X),h,S),((BASSIGN,f,X),h,R)},{((BASSIGN,f,X),h,S)}} is non empty set
the of (BASSIGN,f,X) . [((BASSIGN,f,X),h,S),((BASSIGN,f,X),h,R)] is set
s is Relation-like NAT -defined BASSIGN -valued Function-like quasi_total (BASSIGN,f)
s . 0 is Element of BASSIGN
s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . s1 is Element of BASSIGN
s is Relation-like NAT -defined BASSIGN -valued Function-like quasi_total (BASSIGN,f)
s . 0 is Element of BASSIGN
j1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . j1 is Element of BASSIGN
k is Relation-like NAT -defined BASSIGN -valued Function-like quasi_total (BASSIGN,f)
k . 0 is Element of BASSIGN
k is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
k . k is Element of BASSIGN
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is Element of S
[:NAT,S:] is non empty V38() set
bool [:NAT,S:] is non empty V38() set
f is Relation-like NAT -defined S -valued Function-like quasi_total Element of bool [:NAT,S:]
f . 0 is Element of S
g is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
g . 0 is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
f is non empty set
[:f,f:] is non empty set
bool [:f,f:] is non empty set
R is Relation-like S -defined S -valued Element of bool [:S,S:]
BASSIGN is set
g is Relation-like f -defined f -valued Element of bool [:f,f:]
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
g is set
BASSIGN is Element of S
f is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
(g) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(g) - 1 is V31() V32() ext-real V60() set
(((g) - 1)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f . (((g) - 1)) is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is Element of S
f is Element of S
[BASSIGN,f] is set
{BASSIGN,f} is non empty set
{BASSIGN} is non empty trivial V45(1) set
{{BASSIGN,f},{BASSIGN}} is non empty set
g is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
g . 0 is Element of S
X is set
(S,R,BASSIGN,g,X) is Element of S
[:NAT,S:] is non empty V38() set
bool [:NAT,S:] is non empty V38() set
X is Relation-like NAT -defined S -valued Function-like quasi_total Element of bool [:NAT,S:]
h is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
X . h is Element of S
h + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
X . (h + 1) is Element of S
[(X . h),(X . (h + 1))] is set
{(X . h),(X . (h + 1))} is non empty set
{(X . h)} is non empty trivial V45(1) set
{{(X . h),(X . (h + 1))},{(X . h)}} is non empty set
h - 1 is V31() V32() ext-real V60() set
((h + 1)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
((h + 1)) - 1 is V31() V32() ext-real V60() set
((((h + 1)) - 1)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
1 - 1 is V31() V32() ext-real V60() set
((1 - 1)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,R,BASSIGN,g,h) is Element of S
(S,R,BASSIGN,g,(h + 1)) is Element of S
(S,R,BASSIGN,g,(h + 1)) is Element of S
((h + 1)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
((h + 1)) - 1 is V31() V32() ext-real V60() set
((((h + 1)) - 1)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
g . ((((h + 1)) - 1)) is Element of S
(h + 1) - 1 is V31() V32() ext-real V60() set
(((h + 1) - 1)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
g . (((h + 1) - 1)) is Element of S
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
g . (s + 1) is Element of S
(S,R,BASSIGN,g,h) is Element of S
(h) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(h) - 1 is V31() V32() ext-real V60() set
(((h) - 1)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
g . (((h) - 1)) is Element of S
((h - 1)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
g . ((h - 1)) is Element of S
g . s is Element of S
h is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
h . 0 is Element of S
(S,R,BASSIGN,g,0) is Element of S
h . 1 is Element of S
(S,R,BASSIGN,g,1) is Element of S
(1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(1) - 1 is V31() V32() ext-real V60() set
(((1) - 1)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
g . (((1) - 1)) is Element of S
1 - 1 is V31() V32() ext-real V60() set
((1 - 1)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
g . ((1 - 1)) is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is Element of S
f is non empty Element of bool (S)
(S,R,f) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),f,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,f) is non empty set
g is Element of the carrier of (S,R,f)
((S,R,f),g) is Element of the carrier of (S,R,f)
the of (S,R,f) is Relation-like the carrier of (S,R,f) -defined the carrier of (S,R,f) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,f), the carrier of (S,R,f):]
[: the carrier of (S,R,f), the carrier of (S,R,f):] is non empty set
bool [: the carrier of (S,R,f), the carrier of (S,R,f):] is non empty set
the of (S,R,f) . g is Element of the carrier of (S,R,f)
X is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
X . 0 is Element of S
X . 1 is Element of S
0 + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
X . (0 + 1) is Element of S
[(X . 0),(X . (0 + 1))] is set
{(X . 0),(X . (0 + 1))} is non empty set
{(X . 0)} is non empty trivial V45(1) set
{{(X . 0),(X . (0 + 1))},{(X . 0)}} is non empty set
X is Element of S
[BASSIGN,X] is set
{BASSIGN,X} is non empty set
{BASSIGN} is non empty trivial V45(1) set
{{BASSIGN,X},{BASSIGN}} is non empty set
h is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
h . 0 is Element of S
h . 1 is Element of S
X is Element of S
[BASSIGN,X] is set
{BASSIGN,X} is non empty set
{BASSIGN} is non empty trivial V45(1) set
{{BASSIGN,X},{BASSIGN}} is non empty set
h is Element of S
[BASSIGN,h] is set
{BASSIGN,h} is non empty set
{{BASSIGN,h},{BASSIGN}} is non empty set
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
bool S is non empty set
BASSIGN is Element of bool S
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : ex b<sub>2</sub> being Element of S st
( b<sub>2</sub> in BASSIGN & [b<sub>1</sub>,b<sub>2</sub>] in R ) } is set
g is set
X is Element of S
h is Element of S
[X,h] is set
{X,h} is non empty set
{X} is non empty trivial V45(1) set
{{X,h},{X}} is non empty set
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
f is Element of the carrier of (S,R,BASSIGN)
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : (S,R,BASSIGN,b<sub>1</sub>,f) } is set
bool S is non empty set
X is set
h is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
f is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f) is Element of bool S
bool S is non empty set
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : (S,R,BASSIGN,b<sub>1</sub>,f) } is set
(S,f) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : (S,f) . b<sub>1</sub> = TRUE } is set
g is set
X is Element of S
(S,f) . X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
g is set
X is Element of S
(S,f) . X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
S is non empty set
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
R is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : R . b<sub>1</sub> = TRUE } is set
BASSIGN is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : BASSIGN . b<sub>1</sub> = TRUE } is set
X is set
R . X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
BASSIGN . X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
h is Element of S
BASSIGN . h is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
s is Element of S
R . s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
f is Element of the carrier of (S,R,BASSIGN)
(S,f) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
g is Element of the carrier of (S,R,BASSIGN)
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
f is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f) is Element of bool S
bool S is non empty set
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : (S,R,BASSIGN,b<sub>1</sub>,f) } is set
g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,g) is Element of bool S
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : (S,R,BASSIGN,b<sub>1</sub>,g) } is set
(S,f) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : (S,f) . b<sub>1</sub> = TRUE } is set
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : (S,g) . b<sub>1</sub> = TRUE } is set
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
bool S is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
f is Element of bool S
chi (f,S) is Relation-like S -defined {{},1} -valued Function-like quasi_total Element of bool [:S,{{},1}:]
[:S,{{},1}:] is non empty set
bool [:S,{{},1}:] is non empty set
g is set
(chi (f,S)) . g is set
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
g is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
X is Element of the carrier of (S,R,BASSIGN)
(S,X) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
h is set
(S,X) . h is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(chi (f,S)) . h is set
g is Element of the carrier of (S,R,BASSIGN)
(S,g) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
X is Element of the carrier of (S,R,BASSIGN)
(S,X) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
h is set
(S,g) . h is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(S,X) . h is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(chi (f,S)) . h is set
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
bool S is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
f is Element of bool S
(S,R,BASSIGN,f) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
g is Element of bool S
(S,R,BASSIGN,g) is Element of the carrier of (S,R,BASSIGN)
s is set
chi (g,S) is Relation-like S -defined {{},1} -valued Function-like quasi_total Element of bool [:S,{{},1}:]
[:S,{{},1}:] is non empty set
bool [:S,{{},1}:] is non empty set
(chi (g,S)) . s is set
(S,(S,R,BASSIGN,g)) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
(S,(S,R,BASSIGN,g)) . s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
chi (f,S) is Relation-like S -defined {{},1} -valued Function-like quasi_total Element of bool [:S,{{},1}:]
(chi (f,S)) . s is set
s is set
chi (f,S) is Relation-like S -defined {{},1} -valued Function-like quasi_total Element of bool [:S,{{},1}:]
[:S,{{},1}:] is non empty set
bool [:S,{{},1}:] is non empty set
(chi (f,S)) . s is set
(S,(S,R,BASSIGN,f)) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
(S,(S,R,BASSIGN,f)) . s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
chi (g,S) is Relation-like S -defined {{},1} -valued Function-like quasi_total Element of bool [:S,{{},1}:]
(chi (g,S)) . s is set
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
f is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f) is Element of bool S
bool S is non empty set
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : (S,R,BASSIGN,b<sub>1</sub>,f) } is set
(S,R,BASSIGN,(S,R,BASSIGN,f)) is Element of the carrier of (S,R,BASSIGN)
(S,f) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : (S,f) . b<sub>1</sub> = TRUE } is set
(S,(S,R,BASSIGN,(S,R,BASSIGN,f))) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
h is set
(S,f) . h is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
(S,(S,R,BASSIGN,(S,R,BASSIGN,f))) . h is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
s is Element of S
(S,(S,R,BASSIGN,(S,R,BASSIGN,f))) . s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
chi ((S,R,BASSIGN,f),S) is Relation-like S -defined {{},1} -valued Function-like quasi_total Element of bool [:S,{{},1}:]
[:S,{{},1}:] is non empty set
bool [:S,{{},1}:] is non empty set
(chi ((S,R,BASSIGN,f),S)) . s is Element of {{},1}
s1 is Element of S
(S,f) . s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
s is Element of S
(S,f) . s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,(S,R,BASSIGN,(S,R,BASSIGN,f))) . s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
chi ((S,R,BASSIGN,f),S) is Relation-like S -defined {{},1} -valued Function-like quasi_total Element of bool [:S,{{},1}:]
[:S,{{},1}:] is non empty set
bool [:S,{{},1}:] is non empty set
(chi ((S,R,BASSIGN,f),S)) . s is Element of {{},1}
s is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
bool S is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
f is Element of bool S
(S,R,BASSIGN,f) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
(S,R,BASSIGN,(S,R,BASSIGN,f)) is Element of bool S
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : (S,R,BASSIGN,b<sub>1</sub>,(S,R,BASSIGN,f)) } is set
(S,(S,R,BASSIGN,f)) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : (S,(S,R,BASSIGN,f)) . b<sub>1</sub> = TRUE } is set
h is set
chi (f,S) is Relation-like S -defined {{},1} -valued Function-like quasi_total Element of bool [:S,{{},1}:]
[:S,{{},1}:] is non empty set
bool [:S,{{},1}:] is non empty set
(chi (f,S)) . h is set
s is Element of S
(S,(S,R,BASSIGN,f)) . s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
(S,(S,R,BASSIGN,f)) . h is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() set
chi (f,S) is Relation-like S -defined {{},1} -valued Function-like quasi_total Element of bool [:S,{{},1}:]
[:S,{{},1}:] is non empty set
bool [:S,{{},1}:] is non empty set
(chi (f,S)) . h is set
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
f is Element of the carrier of (S,R,BASSIGN)
f ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the Compl of (S,R,BASSIGN) . f is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,(f `)) is Element of bool S
bool S is non empty set
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : (S,R,BASSIGN,b<sub>1</sub>,f ` ) } is set
(S,R,BASSIGN,f) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,f) } is set
S \ (S,R,BASSIGN,f) is Element of bool S
g is Element of the carrier of (S,R,BASSIGN)
f "/\" g is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,g) is Element of the carrier of (S,R,BASSIGN)
[f,g] is set
{f,g} is non empty set
{f} is non empty trivial V45(1) set
{{f,g},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,g] is set
(S,R,BASSIGN,(f "/\" g)) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,f "/\" g) } is set
(S,R,BASSIGN,g) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,g) } is set
(S,R,BASSIGN,f) /\ (S,R,BASSIGN,g) is Element of bool S
((S,R,BASSIGN),f,g) is Element of the carrier of (S,R,BASSIGN)
g ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . g is Element of the carrier of (S,R,BASSIGN)
(f `) "/\" (g `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((f `),(g `)) is Element of the carrier of (S,R,BASSIGN)
[(f `),(g `)] is set
{(f `),(g `)} is non empty set
{(f `)} is non empty trivial V45(1) set
{{(f `),(g `)},{(f `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(f `),(g `)] is set
((f `) "/\" (g `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((f `) "/\" (g `)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,((S,R,BASSIGN),f,g)) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,((S,R,BASSIGN),f,g)) } is set
(S,R,BASSIGN,f) \/ (S,R,BASSIGN,g) is Element of bool S
X is set
h is Element of S
s is Element of S
s1 is Element of S
h is Element of S
X is set
h is Element of S
s is Element of S
h is Element of S
s is Element of S
h is Element of S
h is Element of S
h is Element of S
s is Element of S
X is set
h is Element of S
s is Element of S
s is Element of S
h is Element of S
s is Element of S
s1 is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
bool S is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
f is Element of bool S
g is Element of bool S
(S,R,BASSIGN,f) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
(S,R,BASSIGN,g) is Element of the carrier of (S,R,BASSIGN)
s is Element of S
(S,(S,R,BASSIGN,f)) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
[:S,BOOLEAN:] is non empty set
bool [:S,BOOLEAN:] is non empty set
(S,(S,R,BASSIGN,f)) . s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
chi (f,S) is Relation-like S -defined {{},1} -valued Function-like quasi_total Element of bool [:S,{{},1}:]
[:S,{{},1}:] is non empty set
bool [:S,{{},1}:] is non empty set
(chi (f,S)) . s is Element of {{},1}
chi (g,S) is Relation-like S -defined {{},1} -valued Function-like quasi_total Element of bool [:S,{{},1}:]
(chi (g,S)) . s is Element of {{},1}
(S,(S,R,BASSIGN,g)) is Relation-like S -defined BOOLEAN -valued Function-like quasi_total boolean-valued Element of bool [:S,BOOLEAN:]
(S,(S,R,BASSIGN,g)) . s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() boolean V60() Element of BOOLEAN
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
f is Element of the carrier of (S,R,BASSIGN)
g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f) is Element of bool S
bool S is non empty set
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,f) } is set
(S,R,BASSIGN,g) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,g) } is set
X is set
h is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
f is Element of the carrier of (S,R,BASSIGN)
g is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),g) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . g is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),g) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),g)) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),g)] is set
{f,((S,R,BASSIGN),g)} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),g)},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),g)] is set
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
g is Element of the carrier of (S,R,BASSIGN)
X is Element of the carrier of (S,R,BASSIGN)
f is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),g) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . g is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),g) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),g)) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),g)] is set
{f,((S,R,BASSIGN),g)} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),g)},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),g)] is set
(S,R,BASSIGN,f,X) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),X) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) . X is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),X) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),X)) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),X)] is set
{f,((S,R,BASSIGN),X)} is non empty set
{{f,((S,R,BASSIGN),X)},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),X)] is set
h is Element of S
s is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
s . 0 is Element of S
s . 1 is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
bool S is non empty set
f is Element of the carrier of (S,R,BASSIGN)
g is Element of bool S
(S,R,BASSIGN,g) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,g)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,g)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . (S,R,BASSIGN,g) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,g)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,g))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,g))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,g))} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,g))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,g))] is set
(S,R,BASSIGN,(S,R,BASSIGN,f,(S,R,BASSIGN,g))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,(S,R,BASSIGN,g))) } is set
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
bool S is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
f is Element of the carrier of (S,R,BASSIGN)
g is Element of bool S
X is Element of bool S
(S,R,BASSIGN,f,g) is Element of bool S
(S,R,BASSIGN,g) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,g)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,g)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . (S,R,BASSIGN,g) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,g)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,g))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,g))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,g))} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,g))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,g))] is set
(S,R,BASSIGN,(S,R,BASSIGN,f,(S,R,BASSIGN,g))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,(S,R,BASSIGN,g))) } is set
(S,R,BASSIGN,f,X) is Element of bool S
(S,R,BASSIGN,X) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) . (S,R,BASSIGN,X) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,X))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,X))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,X))} is non empty set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,X))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,X))] is set
(S,R,BASSIGN,(S,R,BASSIGN,f,(S,R,BASSIGN,X))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,(S,R,BASSIGN,X))) } is set
h is Element of S
h is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
f is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
g is set
(g) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(g) + f is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
BASSIGN . ((g) + f) is Element of S
[:NAT,S:] is non empty V38() set
bool [:NAT,S:] is non empty V38() set
g is Relation-like NAT -defined S -valued Function-like quasi_total Element of bool [:NAT,S:]
X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
g . X is Element of S
X + f is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
BASSIGN . (X + f) is Element of S
(X) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(X) + f is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
BASSIGN . ((X) + f) is Element of S
X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
g . X is Element of S
X + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
g . (X + 1) is Element of S
[(g . X),(g . (X + 1))] is set
{(g . X),(g . (X + 1))} is non empty set
{(g . X)} is non empty trivial V45(1) set
{{(g . X),(g . (X + 1))},{(g . X)}} is non empty set
X + f is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(X + 1) + f is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
BASSIGN . ((X + 1) + f) is Element of S
(X + f) + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
BASSIGN . ((X + f) + 1) is Element of S
BASSIGN . (X + f) is Element of S
X is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
h is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
X . h is Element of S
h + f is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
BASSIGN . (h + f) is Element of S
g is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
X is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
h is set
g . h is set
X . h is set
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
g . s is Element of S
s + f is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
BASSIGN . (s + f) is Element of S
X . s is Element of S
g is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
X is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
X is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
g is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
BASSIGN is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
BASSIGN . g is Element of S
f is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
g - X is V31() V32() ext-real V60() set
f . (g - X) is set
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
[:NAT,S:] is non empty V38() set
bool [:NAT,S:] is non empty V38() set
BASSIGN is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
f is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
g is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
X is set
(X) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,R,BASSIGN,f,(X),g) is set
h is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,R,BASSIGN,f,h,g) is set
(h) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,R,BASSIGN,f,(h),g) is set
BASSIGN . h is Element of S
h - g is V31() V32() ext-real V60() set
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
f . s is Element of S
X is Relation-like NAT -defined S -valued Function-like quasi_total Element of bool [:NAT,S:]
h is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
X . h is Element of S
(S,R,BASSIGN,f,h,g) is set
(h) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
X is Relation-like NAT -defined S -valued Function-like quasi_total Element of bool [:NAT,S:]
h is Relation-like NAT -defined S -valued Function-like quasi_total Element of bool [:NAT,S:]
s is set
X . s is set
h . s is set
s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
X . s1 is Element of S
(S,R,BASSIGN,f,s1,g) is set
h . s1 is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
f is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
f . 0 is Element of S
g is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
BASSIGN . g is Element of S
(S,R,BASSIGN,f,g) is Relation-like NAT -defined S -valued Function-like quasi_total Element of bool [:NAT,S:]
[:NAT,S:] is non empty V38() set
bool [:NAT,S:] is non empty V38() set
h is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,R,BASSIGN,f,g) . h is Element of S
h + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
(S,R,BASSIGN,f,g) . (h + 1) is Element of S
[((S,R,BASSIGN,f,g) . h),((S,R,BASSIGN,f,g) . (h + 1))] is set
{((S,R,BASSIGN,f,g) . h),((S,R,BASSIGN,f,g) . (h + 1))} is non empty set
{((S,R,BASSIGN,f,g) . h)} is non empty trivial V45(1) set
{{((S,R,BASSIGN,f,g) . h),((S,R,BASSIGN,f,g) . (h + 1))},{((S,R,BASSIGN,f,g) . h)}} is non empty set
(S,R,BASSIGN,f,h,g) is set
BASSIGN . h is Element of S
(S,R,BASSIGN,f,(h + 1),g) is set
BASSIGN . (h + 1) is Element of S
(S,R,BASSIGN,f,h,g) is set
BASSIGN . h is Element of S
(S,R,BASSIGN,f,(h + 1),g) is set
(h + 1) - g is V31() V32() ext-real V60() set
f . ((h + 1) - g) is set
BASSIGN . (h + 1) is Element of S
h - g is V31() V32() ext-real V60() set
(S,R,BASSIGN,f,(h + 1),g) is set
(h + 1) - g is V31() V32() ext-real V60() set
f . ((h + 1) - g) is set
s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s1 + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
f . (s1 + 1) is Element of S
(S,R,BASSIGN,f,h,g) is set
f . s1 is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
f is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),f) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . f is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,((S,R,BASSIGN),f)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),((S,R,BASSIGN),f)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
the of (S,R,BASSIGN) . ((S,R,BASSIGN),f) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),((S,R,BASSIGN),f)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),((S,R,BASSIGN),f))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),((S,R,BASSIGN),f))] is set
{f,((S,R,BASSIGN),((S,R,BASSIGN),f))} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),((S,R,BASSIGN),f))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),((S,R,BASSIGN),f))] is set
g is Element of S
s is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
s . 0 is Element of S
(S,R,s,1) is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,R,s,1) . s is Element of S
s + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
s . (s + 1) is Element of S
0 + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
s . (0 + 1) is Element of S
(S,R,s,1) . 0 is Element of S
s . 1 is Element of S
h is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
h . 0 is Element of S
h . 1 is Element of S
s is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
s . 0 is Element of S
(S,R,h,s,1) is Relation-like NAT -defined S -valued Function-like quasi_total Element of bool [:NAT,S:]
[:NAT,S:] is non empty V38() set
bool [:NAT,S:] is non empty V38() set
s is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
s . 0 is Element of S
(S,R,h,s,0,1) is set
j1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . j1 is Element of S
0 + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
j1 - 1 is V31() V32() ext-real V60() set
(S,R,h,s,j1,1) is set
k is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . k is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
f is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),f) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . f is Element of the carrier of (S,R,BASSIGN)
g is Element of S
{ b₁ where b₁ is Element of S : [a₁,b₁] in R } is set
BOOL S is set
X is set
X is Relation-like Function-like set
dom X is set
(S,R,BASSIGN,f) is Element of bool S
bool S is non empty set
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,f) } is set
h is set
{ b₁ where b₁ is Element of S : [h,b₁] in R } is set
H₁(h) /\ (S,R,BASSIGN,f) is Element of bool S
(X,(H₁(h) /\ (S,R,BASSIGN,f)),g) is set
X . (H₁(h) /\ (S,R,BASSIGN,f)) is set
s1 is Element of S
[h,s1] is set
{h,s1} is non empty set
{h} is non empty trivial V45(1) set
{{h,s1},{h}} is non empty set
h is Relation-like S -defined S -valued Function-like quasi_total Element of bool [:S,S:]
s is set
(s) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,h,(s)) is Relation-like S -defined S -valued Function-like quasi_total Element of bool [:S,S:]
(S,h,(s)) . g is Element of S
[:NAT,S:] is non empty V38() set
bool [:NAT,S:] is non empty V38() set
s is Relation-like NAT -defined S -valued Function-like quasi_total Element of bool [:NAT,S:]
s . 0 is Element of S
(0) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,h,(0)) is Relation-like S -defined S -valued Function-like quasi_total Element of bool [:S,S:]
(S,h,(0)) . g is Element of S
(S,h,0) is Relation-like S -defined S -valued Function-like quasi_total Element of bool [:S,S:]
(S,h,0) . g is Element of S
id S is Relation-like S -defined S -valued Function-like one-to-one non empty total V61() V63() V64() V68() Element of bool [:S,S:]
(id S) . g is set
s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . s1 is Element of S
s1 + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
s . (s1 + 1) is Element of S
[(s . s1),(s . (s1 + 1))] is set
{(s . s1),(s . (s1 + 1))} is non empty set
{(s . s1)} is non empty trivial V45(1) set
{{(s . s1),(s . (s1 + 1))},{(s . s1)}} is non empty set
(s1 + 1) + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
s . ((s1 + 1) + 1) is Element of S
[(s . (s1 + 1)),(s . ((s1 + 1) + 1))] is set
{(s . (s1 + 1)),(s . ((s1 + 1) + 1))} is non empty set
{(s . (s1 + 1))} is non empty trivial V45(1) set
{{(s . (s1 + 1)),(s . ((s1 + 1) + 1))},{(s . (s1 + 1))}} is non empty set
{ b₁ where b₁ is Element of S : [(s . s1),b₁] in R } is set
H₁(s . s1) /\ (S,R,BASSIGN,f) is Element of bool S
{ b₁ where b₁ is Element of S : [(s . (s1 + 1)),b₁] in R } is set
H₁(s . (s1 + 1)) /\ (S,R,BASSIGN,f) is Element of bool S
(S,h,s1) is Relation-like S -defined S -valued Function-like quasi_total Element of bool [:S,S:]
dom (S,h,s1) is set
pai01 is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
pai01 . 0 is Element of S
pai01 . 1 is Element of S
0 + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
pai01 . (0 + 1) is Element of S
[(pai01 . 0),(pai01 . (0 + 1))] is set
{(pai01 . 0),(pai01 . (0 + 1))} is non empty set
{(pai01 . 0)} is non empty trivial V45(1) set
{{(pai01 . 0),(pai01 . (0 + 1))},{(pai01 . 0)}} is non empty set
(bool S) \ {{}} is Element of bool (bool S)
bool (bool S) is non empty set
((s1 + 1)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,h,((s1 + 1))) is Relation-like S -defined S -valued Function-like quasi_total Element of bool [:S,S:]
(S,h,((s1 + 1))) . g is Element of S
(S,h,(s1 + 1)) is Relation-like S -defined S -valued Function-like quasi_total Element of bool [:S,S:]
(S,h,(s1 + 1)) . g is Element of S
h * (S,h,s1) is Relation-like S -defined S -valued Function-like Element of bool [:S,S:]
(h * (S,h,s1)) . g is set
(S,h,s1) . g is Element of S
h . ((S,h,s1) . g) is Element of S
(s1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,h,(s1)) is Relation-like S -defined S -valued Function-like quasi_total Element of bool [:S,S:]
(S,h,(s1)) . g is Element of S
h . H₃(s1) is Element of S
h . (s . s1) is Element of S
(X,(H₁(s . s1) /\ (S,R,BASSIGN,f)),g) is set
X . (H₁(s . s1) /\ (S,R,BASSIGN,f)) is set
pai02 is Element of S
pai02 is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
pai02 . 0 is Element of S
pai02 . 1 is Element of S
pai02 . (0 + 1) is Element of S
[(pai02 . 0),(pai02 . (0 + 1))] is set
{(pai02 . 0),(pai02 . (0 + 1))} is non empty set
{(pai02 . 0)} is non empty trivial V45(1) set
{{(pai02 . 0),(pai02 . (0 + 1))},{(pai02 . 0)}} is non empty set
dom (S,h,(s1 + 1)) is set
(((s1 + 1) + 1)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,h,(((s1 + 1) + 1))) is Relation-like S -defined S -valued Function-like quasi_total Element of bool [:S,S:]
(S,h,(((s1 + 1) + 1))) . g is Element of S
(S,h,((s1 + 1) + 1)) is Relation-like S -defined S -valued Function-like quasi_total Element of bool [:S,S:]
(S,h,((s1 + 1) + 1)) . g is Element of S
h * (S,h,(s1 + 1)) is Relation-like S -defined S -valued Function-like Element of bool [:S,S:]
(h * (S,h,(s1 + 1))) . g is set
h . ((S,h,(s1 + 1)) . g) is Element of S
h . H₃(s1 + 1) is Element of S
h . (s . (s1 + 1)) is Element of S
(X,(H₁(s . (s1 + 1)) /\ (S,R,BASSIGN,f)),g) is set
X . (H₁(s . (s1 + 1)) /\ (S,R,BASSIGN,f)) is set
c₂₁ is Element of S
[(s . (s1 + 1)),c₂₁] is set
{(s . (s1 + 1)),c₂₁} is non empty set
{{(s . (s1 + 1)),c₂₁},{(s . (s1 + 1))}} is non empty set
c₂₂ is Element of S
0 + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
s . (0 + 1) is Element of S
[(s . 0),(s . (0 + 1))] is set
{(s . 0),(s . (0 + 1))} is non empty set
{(s . 0)} is non empty trivial V45(1) set
{{(s . 0),(s . (0 + 1))},{(s . 0)}} is non empty set
{ b₁ where b₁ is Element of S : [g,b₁] in R } is set
H₁(g) /\ (S,R,BASSIGN,f) is Element of bool S
X . (H₁(g) /\ (S,R,BASSIGN,f)) is set
j1 is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
j1 . 0 is Element of S
j1 . 1 is Element of S
j1 . (0 + 1) is Element of S
[(j1 . 0),(j1 . (0 + 1))] is set
{(j1 . 0),(j1 . (0 + 1))} is non empty set
{(j1 . 0)} is non empty trivial V45(1) set
{{(j1 . 0),(j1 . (0 + 1))},{(j1 . 0)}} is non empty set
(bool S) \ {{}} is Element of bool (bool S)
bool (bool S) is non empty set
k is Element of S
[g,k] is set
{g,k} is non empty set
{g} is non empty trivial V45(1) set
{{g,k},{g}} is non empty set
pai1 is Element of S
s . 1 is Element of S
(1) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,h,(1)) is Relation-like S -defined S -valued Function-like quasi_total Element of bool [:S,S:]
(S,h,(1)) . g is Element of S
(S,h,1) is Relation-like S -defined S -valued Function-like quasi_total Element of bool [:S,S:]
(S,h,1) . g is Element of S
h . g is Element of S
(X,(H₁(g) /\ (S,R,BASSIGN,f)),g) is set
s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . s1 is Element of S
s1 + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
s . (s1 + 1) is Element of S
[(s . s1),(s . (s1 + 1))] is set
{(s . s1),(s . (s1 + 1))} is non empty set
{(s . s1)} is non empty trivial V45(1) set
{{(s . s1),(s . (s1 + 1))},{(s . s1)}} is non empty set
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . s is Element of S
s1 is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
s1 . 0 is Element of S
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s1 . s is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
g is Element of the carrier of (S,R,BASSIGN)
f is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),g) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . g is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),g) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),g)) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),g)] is set
{f,((S,R,BASSIGN),g)} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),g)},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),g)] is set
((S,R,BASSIGN),f) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
the of (S,R,BASSIGN) . f is Element of the carrier of (S,R,BASSIGN)
X is Element of S
X is Element of S
h is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
h . 0 is Element of S
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s is Element of S
X is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
bool S is non empty set
[:(bool S),(bool S):] is non empty set
bool [:(bool S),(bool S):] is non empty set
f is Element of the carrier of (S,R,BASSIGN)
g is set
(S,g) is Element of bool S
(S,R,BASSIGN,f,(S,g)) is Element of bool S
(S,R,BASSIGN,(S,g)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,(S,g))) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,(S,g))) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . (S,R,BASSIGN,(S,g)) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,(S,g))) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,(S,g)))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,(S,g)))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,(S,g)))} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,(S,g)))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,(S,g)))] is set
(S,R,BASSIGN,(S,R,BASSIGN,f,(S,R,BASSIGN,(S,g)))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,(S,R,BASSIGN,(S,g)))) } is set
g is Relation-like bool S -defined bool S -valued Function-like quasi_total Element of bool [:(bool S),(bool S):]
X is Element of bool S
g . X is Element of bool S
(S,R,BASSIGN,f,X) is Element of bool S
(S,R,BASSIGN,X) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . (S,R,BASSIGN,X) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,X))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,X))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,X))} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,X))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,X))] is set
(S,R,BASSIGN,(S,R,BASSIGN,f,(S,R,BASSIGN,X))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,(S,R,BASSIGN,X))) } is set
(S,X) is Element of bool S
(S,R,BASSIGN,f,(S,X)) is Element of bool S
(S,R,BASSIGN,(S,X)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,(S,X))) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,(S,X))) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) . (S,R,BASSIGN,(S,X)) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,(S,X))) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,(S,X)))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,(S,X)))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,(S,X)))} is non empty set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,(S,X)))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,(S,X)))] is set
(S,R,BASSIGN,(S,R,BASSIGN,f,(S,R,BASSIGN,(S,X)))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,(S,R,BASSIGN,(S,X)))) } is set
X is Element of bool S
h is Element of bool S
g . X is Element of bool S
g . h is Element of bool S
(S,R,BASSIGN,f,h) is Element of bool S
(S,R,BASSIGN,h) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . (S,R,BASSIGN,h) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,h))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,h))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,h))} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,h))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,h))] is set
(S,R,BASSIGN,(S,R,BASSIGN,f,(S,R,BASSIGN,h))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,(S,R,BASSIGN,h))) } is set
(S,R,BASSIGN,f,X) is Element of bool S
(S,R,BASSIGN,X) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) . (S,R,BASSIGN,X) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,X))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,X))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,X))} is non empty set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,X))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,X))] is set
(S,R,BASSIGN,(S,R,BASSIGN,f,(S,R,BASSIGN,X))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,(S,R,BASSIGN,X))) } is set
X is Relation-like bool S -defined bool S -valued Function-like quasi_total V226() Element of bool [:(bool S),(bool S):]
h is Element of bool S
X . h is Element of bool S
(S,R,BASSIGN,f,h) is Element of bool S
(S,R,BASSIGN,h) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . (S,R,BASSIGN,h) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,h))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,h))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,h))} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,h))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,h))] is set
(S,R,BASSIGN,(S,R,BASSIGN,f,(S,R,BASSIGN,h))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,(S,R,BASSIGN,h))) } is set
g is Relation-like bool S -defined bool S -valued Function-like quasi_total V226() Element of bool [:(bool S),(bool S):]
X is Relation-like bool S -defined bool S -valued Function-like quasi_total V226() Element of bool [:(bool S),(bool S):]
h is set
g . h is set
X . h is set
s is Element of bool S
g . s is Element of bool S
(S,R,BASSIGN,f,s) is Element of bool S
(S,R,BASSIGN,s) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,s)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,s)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . (S,R,BASSIGN,s) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,s)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,s))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,s))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,s))} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,s))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,s))] is set
(S,R,BASSIGN,(S,R,BASSIGN,f,(S,R,BASSIGN,s))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,(S,R,BASSIGN,s))) } is set
X . s is Element of bool S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
bool S is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
g is Element of the carrier of (S,R,BASSIGN)
f is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),g) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . g is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),g) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),g)) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),g)] is set
{f,((S,R,BASSIGN),g)} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),g)},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),g)] is set
(S,R,BASSIGN,g) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,g) } is set
(S,R,BASSIGN,f) is Relation-like bool S -defined bool S -valued Function-like quasi_total V226() Element of bool [:(bool S),(bool S):]
[:(bool S),(bool S):] is non empty set
bool [:(bool S),(bool S):] is non empty set
(S,R,BASSIGN,(S,R,BASSIGN,f,g)) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,g)) } is set
(S,R,BASSIGN,f) . (S,R,BASSIGN,g) is Element of bool S
(S,R,BASSIGN,f,(S,R,BASSIGN,g)) is Element of bool S
(S,R,BASSIGN,(S,R,BASSIGN,g)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,(S,R,BASSIGN,g))) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,(S,R,BASSIGN,g))) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) . (S,R,BASSIGN,(S,R,BASSIGN,g)) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,(S,R,BASSIGN,g))) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,(S,R,BASSIGN,g)))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,(S,R,BASSIGN,g)))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,(S,R,BASSIGN,g)))} is non empty set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,(S,R,BASSIGN,g)))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,(S,R,BASSIGN,g)))] is set
(S,R,BASSIGN,(S,R,BASSIGN,f,(S,R,BASSIGN,(S,R,BASSIGN,g)))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,(S,R,BASSIGN,(S,R,BASSIGN,g)))) } is set
s is Element of S
s1 is Element of S
s1 is Element of S
s is Element of S
s1 is Element of S
s is set
s1 is Element of S
s is set
s1 is Element of S
s is Element of S
s1 is Element of S
s is Element of S
j1 is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
f is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),f) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . f is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,((S,R,BASSIGN),f)) is Element of bool S
bool S is non empty set
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,((S,R,BASSIGN),f)) } is set
(S,R,BASSIGN,f) is Relation-like bool S -defined bool S -valued Function-like quasi_total V226() Element of bool [:(bool S),(bool S):]
[:(bool S),(bool S):] is non empty set
bool [:(bool S),(bool S):] is non empty set
gfp (S,(S,R,BASSIGN,f)) is Element of bool S
(S,R,BASSIGN,(gfp (S,(S,R,BASSIGN,f)))) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,(S,R,BASSIGN,(gfp (S,(S,R,BASSIGN,f))))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,(gfp (S,(S,R,BASSIGN,f))))) } is set
(S,R,BASSIGN,f,(S,R,BASSIGN,(gfp (S,(S,R,BASSIGN,f))))) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,(gfp (S,(S,R,BASSIGN,f))))) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
the of (S,R,BASSIGN) . (S,R,BASSIGN,(gfp (S,(S,R,BASSIGN,f)))) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,(gfp (S,(S,R,BASSIGN,f))))) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,(gfp (S,(S,R,BASSIGN,f)))))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,(gfp (S,(S,R,BASSIGN,f)))))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,(gfp (S,(S,R,BASSIGN,f)))))} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,(gfp (S,(S,R,BASSIGN,f)))))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,(gfp (S,(S,R,BASSIGN,f)))))] is set
h is Element of S
s is Element of S
h is set
s is Element of S
(S,R,BASSIGN,f,((S,R,BASSIGN),f)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),((S,R,BASSIGN),f)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) . ((S,R,BASSIGN),f) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),((S,R,BASSIGN),f)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),((S,R,BASSIGN),f))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),((S,R,BASSIGN),f))] is set
{f,((S,R,BASSIGN),((S,R,BASSIGN),f))} is non empty set
{{f,((S,R,BASSIGN),((S,R,BASSIGN),f))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),((S,R,BASSIGN),f))] is set
h is Element of S
s is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
g is Element of the carrier of (S,R,BASSIGN)
f is Element of the carrier of (S,R,BASSIGN)
X is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,X) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),X) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . X is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),X) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),X)) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),X)] is set
{f,((S,R,BASSIGN),X)} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),X)},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),X)] is set
((S,R,BASSIGN),g,(S,R,BASSIGN,f,X)) is Element of the carrier of (S,R,BASSIGN)
g ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
the Compl of (S,R,BASSIGN) . g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,X) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . (S,R,BASSIGN,f,X) is Element of the carrier of (S,R,BASSIGN)
(g `) "/\" ((S,R,BASSIGN,f,X) `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((g `),((S,R,BASSIGN,f,X) `)) is Element of the carrier of (S,R,BASSIGN)
[(g `),((S,R,BASSIGN,f,X) `)] is set
{(g `),((S,R,BASSIGN,f,X) `)} is non empty set
{(g `)} is non empty trivial V45(1) set
{{(g `),((S,R,BASSIGN,f,X) `)},{(g `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(g `),((S,R,BASSIGN,f,X) `)] is set
((g `) "/\" ((S,R,BASSIGN,f,X) `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((g `) "/\" ((S,R,BASSIGN,f,X) `)) is Element of the carrier of (S,R,BASSIGN)
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
X is Element of the carrier of (S,R,BASSIGN)
h is Element of the carrier of (S,R,BASSIGN)
f is Element of the carrier of (S,R,BASSIGN)
g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g,X) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,X) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),X) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . X is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),X) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),X)) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),X)] is set
{f,((S,R,BASSIGN),X)} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),X)},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),X)] is set
((S,R,BASSIGN),g,(S,R,BASSIGN,f,X)) is Element of the carrier of (S,R,BASSIGN)
g ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
the Compl of (S,R,BASSIGN) . g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,X) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . (S,R,BASSIGN,f,X) is Element of the carrier of (S,R,BASSIGN)
(g `) "/\" ((S,R,BASSIGN,f,X) `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((g `),((S,R,BASSIGN,f,X) `)) is Element of the carrier of (S,R,BASSIGN)
[(g `),((S,R,BASSIGN,f,X) `)] is set
{(g `),((S,R,BASSIGN,f,X) `)} is non empty set
{(g `)} is non empty trivial V45(1) set
{{(g `),((S,R,BASSIGN,f,X) `)},{(g `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(g `),((S,R,BASSIGN,f,X) `)] is set
((g `) "/\" ((S,R,BASSIGN,f,X) `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((g `) "/\" ((S,R,BASSIGN,f,X) `)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g,h) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,h) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),h) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) . h is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),h) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),h)) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),h)] is set
{f,((S,R,BASSIGN),h)} is non empty set
{{f,((S,R,BASSIGN),h)},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),h)] is set
((S,R,BASSIGN),g,(S,R,BASSIGN,f,h)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,h) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . (S,R,BASSIGN,f,h) is Element of the carrier of (S,R,BASSIGN)
(g `) "/\" ((S,R,BASSIGN,f,h) `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((g `),((S,R,BASSIGN,f,h) `)) is Element of the carrier of (S,R,BASSIGN)
[(g `),((S,R,BASSIGN,f,h) `)] is set
{(g `),((S,R,BASSIGN,f,h) `)} is non empty set
{{(g `),((S,R,BASSIGN,f,h) `)},{(g `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(g `),((S,R,BASSIGN,f,h) `)] is set
((g `) "/\" ((S,R,BASSIGN,f,h) `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((g `) "/\" ((S,R,BASSIGN,f,h) `)) is Element of the carrier of (S,R,BASSIGN)
s is Element of S
s1 is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
s1 . 0 is Element of S
s1 . 1 is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
bool S is non empty set
f is Element of the carrier of (S,R,BASSIGN)
g is Element of the carrier of (S,R,BASSIGN)
X is Element of bool S
(S,R,BASSIGN,X) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g,(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . (S,R,BASSIGN,X) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,X))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,X))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,X))} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,X))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,X))] is set
((S,R,BASSIGN),g,(S,R,BASSIGN,f,(S,R,BASSIGN,X))) is Element of the carrier of (S,R,BASSIGN)
g ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
the Compl of (S,R,BASSIGN) . g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,X)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . (S,R,BASSIGN,f,(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
(g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((g `),((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)) is Element of the carrier of (S,R,BASSIGN)
[(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)] is set
{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)} is non empty set
{(g `)} is non empty trivial V45(1) set
{{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)},{(g `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)] is set
((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,(S,R,BASSIGN,f,g,(S,R,BASSIGN,X))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,g,(S,R,BASSIGN,X))) } is set
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
bool S is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
f is Element of the carrier of (S,R,BASSIGN)
g is Element of the carrier of (S,R,BASSIGN)
X is Element of bool S
h is Element of bool S
(S,R,BASSIGN,f,g,X) is Element of bool S
(S,R,BASSIGN,X) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g,(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . (S,R,BASSIGN,X) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,X))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,X))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,X))} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,X))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,X))] is set
((S,R,BASSIGN),g,(S,R,BASSIGN,f,(S,R,BASSIGN,X))) is Element of the carrier of (S,R,BASSIGN)
g ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
the Compl of (S,R,BASSIGN) . g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,X)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . (S,R,BASSIGN,f,(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
(g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((g `),((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)) is Element of the carrier of (S,R,BASSIGN)
[(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)] is set
{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)} is non empty set
{(g `)} is non empty trivial V45(1) set
{{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)},{(g `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)] is set
((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,(S,R,BASSIGN,f,g,(S,R,BASSIGN,X))) is Element of bool S
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : (S,R,BASSIGN,b<sub>1</sub>,(S,R,BASSIGN,f,g,(S,R,BASSIGN,X))) } is set
(S,R,BASSIGN,f,g,h) is Element of bool S
(S,R,BASSIGN,h) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g,(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) . (S,R,BASSIGN,h) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,h))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,h))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,h))} is non empty set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,h))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,h))] is set
((S,R,BASSIGN),g,(S,R,BASSIGN,f,(S,R,BASSIGN,h))) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,h)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . (S,R,BASSIGN,f,(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
(g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((g `),((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)) is Element of the carrier of (S,R,BASSIGN)
[(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)] is set
{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)} is non empty set
{{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)},{(g `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)] is set
((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,(S,R,BASSIGN,f,g,(S,R,BASSIGN,h))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,g,(S,R,BASSIGN,h))) } is set
s is Element of S
s is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
f is Element of the carrier of (S,R,BASSIGN)
g is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),f,g) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . (f,g) is Element of the carrier of (S,R,BASSIGN)
[f,g] is set
{f,g} is non empty set
{f} is non empty trivial V45(1) set
{{f,g},{f}} is non empty set
the of (S,R,BASSIGN) . [f,g] is set
(S,R,BASSIGN,f,g,((S,R,BASSIGN),f,g)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),((S,R,BASSIGN),f,g)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . ((S,R,BASSIGN),f,g) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),((S,R,BASSIGN),f,g)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),((S,R,BASSIGN),f,g))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),((S,R,BASSIGN),f,g))] is set
{f,((S,R,BASSIGN),((S,R,BASSIGN),f,g))} is non empty set
{{f,((S,R,BASSIGN),((S,R,BASSIGN),f,g))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),((S,R,BASSIGN),f,g))] is set
((S,R,BASSIGN),g,(S,R,BASSIGN,f,((S,R,BASSIGN),f,g))) is Element of the carrier of (S,R,BASSIGN)
g ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
the Compl of (S,R,BASSIGN) . g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . (S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) is Element of the carrier of (S,R,BASSIGN)
(g `) "/\" ((S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((g `),((S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) `)) is Element of the carrier of (S,R,BASSIGN)
[(g `),((S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) `)] is set
{(g `),((S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) `)} is non empty set
{(g `)} is non empty trivial V45(1) set
{{(g `),((S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) `)},{(g `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(g `),((S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) `)] is set
((g `) "/\" ((S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((g `) "/\" ((S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) `)) is Element of the carrier of (S,R,BASSIGN)
X is Element of S
s is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
s . 0 is Element of S
s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . s1 is Element of S
s is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
s . 0 is Element of S
s . 1 is Element of S
s1 is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
s1 . 0 is Element of S
(S,R,s,s1,1) is Relation-like NAT -defined S -valued Function-like quasi_total Element of bool [:NAT,S:]
[:NAT,S:] is non empty V38() set
bool [:NAT,S:] is non empty V38() set
j1 is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
j1 . 0 is Element of S
(S,R,s,s1,0,1) is set
k is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s1 . k is Element of S
k is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s1 . k is Element of S
k + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
pai1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
j1 . pai1 is Element of S
pai1 - 1 is V31() V32() ext-real V60() set
(pai1 - 1) + 1 is V31() V32() ext-real V60() set
k0 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,R,s,s1,pai1,1) is set
s1 . k0 is Element of S
j1 . (k + 1) is Element of S
(S,R,s,s1,(k + 1),1) is set
(k + 1) - 1 is V31() V32() ext-real V60() set
s1 . ((k + 1) - 1) is set
h is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
h . 0 is Element of S
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s is Element of S
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
h . s is Element of S
s - 1 is V31() V32() ext-real V60() set
(S,R,h,1) is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,R,h,1) . s is Element of S
s + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
h . (s + 1) is Element of S
k is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,R,h,1) . k is Element of S
k + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
h . (k + 1) is Element of S
(S,R,h,1) . 0 is Element of S
0 + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
h . (0 + 1) is Element of S
h . 1 is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
X is Element of the carrier of (S,R,BASSIGN)
f is Element of the carrier of (S,R,BASSIGN)
g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g,X) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,X) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),X) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . X is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),X) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),X)) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),X)] is set
{f,((S,R,BASSIGN),X)} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),X)},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),X)] is set
((S,R,BASSIGN),g,(S,R,BASSIGN,f,X)) is Element of the carrier of (S,R,BASSIGN)
g ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
the Compl of (S,R,BASSIGN) . g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,X) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . (S,R,BASSIGN,f,X) is Element of the carrier of (S,R,BASSIGN)
(g `) "/\" ((S,R,BASSIGN,f,X) `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((g `),((S,R,BASSIGN,f,X) `)) is Element of the carrier of (S,R,BASSIGN)
[(g `),((S,R,BASSIGN,f,X) `)] is set
{(g `),((S,R,BASSIGN,f,X) `)} is non empty set
{(g `)} is non empty trivial V45(1) set
{{(g `),((S,R,BASSIGN,f,X) `)},{(g `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(g `),((S,R,BASSIGN,f,X) `)] is set
((g `) "/\" ((S,R,BASSIGN,f,X) `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((g `) "/\" ((S,R,BASSIGN,f,X) `)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),f,g) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
the of (S,R,BASSIGN) . (f,g) is Element of the carrier of (S,R,BASSIGN)
[f,g] is set
{f,g} is non empty set
{{f,g},{f}} is non empty set
the of (S,R,BASSIGN) . [f,g] is set
h is Element of S
s is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
s . 0 is Element of S
s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . s1 is Element of S
s1 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . s1 is Element of S
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s1 - s is V31() V32() ext-real V60() set
((s1 - s)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . ((s1 - s)) is Element of S
s + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
s1 - (s + 1) is V31() V32() ext-real V60() set
((s1 - (s + 1))) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . ((s1 - (s + 1))) is Element of S
k is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(S,R,s,k) is Relation-like NAT -defined S -valued Function-like quasi_total (S,R)
(S,R,s,k) . 0 is Element of S
k + 0 is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . (k + 0) is Element of S
s . k is Element of S
k + s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
(k + s) + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
(S,R,s,k) . 1 is Element of S
k + 1 is non empty V24() V25() V26() V30() V31() V32() ext-real positive non negative V38() V43() V60() Element of NAT
s . (k + 1) is Element of S
(k) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s1 - 0 is V31() V32() ext-real non negative V60() set
((s1 - 0)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . ((s1 - 0)) is Element of S
s is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s1 - s is V31() V32() ext-real V60() set
((s1 - s)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . ((s1 - s)) is Element of S
s1 - s1 is V31() V32() ext-real V60() set
((s1 - s1)) is V24() V25() V26() V30() V31() V32() ext-real non negative V38() V43() V60() Element of NAT
s . ((s1 - s1)) is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
bool S is non empty set
[:(bool S),(bool S):] is non empty set
bool [:(bool S),(bool S):] is non empty set
f is Element of the carrier of (S,R,BASSIGN)
g is Element of the carrier of (S,R,BASSIGN)
X is set
(S,X) is Element of bool S
(S,R,BASSIGN,f,g,(S,X)) is Element of bool S
(S,R,BASSIGN,(S,X)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g,(S,R,BASSIGN,(S,X))) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,(S,X))) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,(S,X))) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . (S,R,BASSIGN,(S,X)) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,(S,X))) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,(S,X)))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,(S,X)))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,(S,X)))} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,(S,X)))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,(S,X)))] is set
((S,R,BASSIGN),g,(S,R,BASSIGN,f,(S,R,BASSIGN,(S,X)))) is Element of the carrier of (S,R,BASSIGN)
g ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
the Compl of (S,R,BASSIGN) . g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,(S,X))) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . (S,R,BASSIGN,f,(S,R,BASSIGN,(S,X))) is Element of the carrier of (S,R,BASSIGN)
(g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,(S,X))) `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((g `),((S,R,BASSIGN,f,(S,R,BASSIGN,(S,X))) `)) is Element of the carrier of (S,R,BASSIGN)
[(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,(S,X))) `)] is set
{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,(S,X))) `)} is non empty set
{(g `)} is non empty trivial V45(1) set
{{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,(S,X))) `)},{(g `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,(S,X))) `)] is set
((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,(S,X))) `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,(S,X))) `)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,(S,R,BASSIGN,f,g,(S,R,BASSIGN,(S,X)))) is Element of bool S
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : (S,R,BASSIGN,b<sub>1</sub>,(S,R,BASSIGN,f,g,(S,R,BASSIGN,(S,X)))) } is set
X is Relation-like bool S -defined bool S -valued Function-like quasi_total Element of bool [:(bool S),(bool S):]
h is Element of bool S
X . h is Element of bool S
(S,R,BASSIGN,f,g,h) is Element of bool S
(S,R,BASSIGN,h) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g,(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . (S,R,BASSIGN,h) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,h))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,h))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,h))} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,h))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,h))] is set
((S,R,BASSIGN),g,(S,R,BASSIGN,f,(S,R,BASSIGN,h))) is Element of the carrier of (S,R,BASSIGN)
g ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
the Compl of (S,R,BASSIGN) . g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,h)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . (S,R,BASSIGN,f,(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
(g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((g `),((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)) is Element of the carrier of (S,R,BASSIGN)
[(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)] is set
{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)} is non empty set
{(g `)} is non empty trivial V45(1) set
{{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)},{(g `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)] is set
((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,(S,R,BASSIGN,f,g,(S,R,BASSIGN,h))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,g,(S,R,BASSIGN,h))) } is set
(S,h) is Element of bool S
h is Element of bool S
s is Element of bool S
X . h is Element of bool S
X . s is Element of bool S
(S,R,BASSIGN,f,g,s) is Element of bool S
(S,R,BASSIGN,s) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g,(S,R,BASSIGN,s)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,s)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,s)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . (S,R,BASSIGN,s) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,s)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,s))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,s))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,s))} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,s))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,s))] is set
((S,R,BASSIGN),g,(S,R,BASSIGN,f,(S,R,BASSIGN,s))) is Element of the carrier of (S,R,BASSIGN)
g ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
the Compl of (S,R,BASSIGN) . g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,s)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . (S,R,BASSIGN,f,(S,R,BASSIGN,s)) is Element of the carrier of (S,R,BASSIGN)
(g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,s)) `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((g `),((S,R,BASSIGN,f,(S,R,BASSIGN,s)) `)) is Element of the carrier of (S,R,BASSIGN)
[(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,s)) `)] is set
{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,s)) `)} is non empty set
{(g `)} is non empty trivial V45(1) set
{{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,s)) `)},{(g `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,s)) `)] is set
((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,s)) `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,s)) `)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,(S,R,BASSIGN,f,g,(S,R,BASSIGN,s))) is Element of bool S
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : (S,R,BASSIGN,b<sub>1</sub>,(S,R,BASSIGN,f,g,(S,R,BASSIGN,s))) } is set
(S,R,BASSIGN,f,g,h) is Element of bool S
(S,R,BASSIGN,h) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g,(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) . (S,R,BASSIGN,h) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,h))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,h))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,h))} is non empty set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,h))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,h))] is set
((S,R,BASSIGN),g,(S,R,BASSIGN,f,(S,R,BASSIGN,h))) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,h)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . (S,R,BASSIGN,f,(S,R,BASSIGN,h)) is Element of the carrier of (S,R,BASSIGN)
(g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((g `),((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)) is Element of the carrier of (S,R,BASSIGN)
[(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)] is set
{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)} is non empty set
{{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)},{(g `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)] is set
((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,h)) `)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,(S,R,BASSIGN,f,g,(S,R,BASSIGN,h))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,g,(S,R,BASSIGN,h))) } is set
h is Relation-like bool S -defined bool S -valued Function-like quasi_total V226() Element of bool [:(bool S),(bool S):]
s is Element of bool S
h . s is Element of bool S
(S,R,BASSIGN,f,g,s) is Element of bool S
(S,R,BASSIGN,s) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g,(S,R,BASSIGN,s)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,s)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,s)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . (S,R,BASSIGN,s) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,s)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,s))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,s))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,s))} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,s))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,s))] is set
((S,R,BASSIGN),g,(S,R,BASSIGN,f,(S,R,BASSIGN,s))) is Element of the carrier of (S,R,BASSIGN)
g ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
the Compl of (S,R,BASSIGN) . g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,s)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . (S,R,BASSIGN,f,(S,R,BASSIGN,s)) is Element of the carrier of (S,R,BASSIGN)
(g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,s)) `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((g `),((S,R,BASSIGN,f,(S,R,BASSIGN,s)) `)) is Element of the carrier of (S,R,BASSIGN)
[(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,s)) `)] is set
{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,s)) `)} is non empty set
{(g `)} is non empty trivial V45(1) set
{{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,s)) `)},{(g `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,s)) `)] is set
((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,s)) `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,s)) `)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,(S,R,BASSIGN,f,g,(S,R,BASSIGN,s))) is Element of bool S
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : (S,R,BASSIGN,b<sub>1</sub>,(S,R,BASSIGN,f,g,(S,R,BASSIGN,s))) } is set
X is Relation-like bool S -defined bool S -valued Function-like quasi_total V226() Element of bool [:(bool S),(bool S):]
h is Relation-like bool S -defined bool S -valued Function-like quasi_total V226() Element of bool [:(bool S),(bool S):]
s is set
X . s is set
h . s is set
s1 is Element of bool S
X . s1 is Element of bool S
(S,R,BASSIGN,f,g,s1) is Element of bool S
(S,R,BASSIGN,s1) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g,(S,R,BASSIGN,s1)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,s1)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,s1)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . (S,R,BASSIGN,s1) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,s1)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,s1))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,s1))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,s1))} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,s1))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,s1))] is set
((S,R,BASSIGN),g,(S,R,BASSIGN,f,(S,R,BASSIGN,s1))) is Element of the carrier of (S,R,BASSIGN)
g ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
the Compl of (S,R,BASSIGN) . g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,s1)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . (S,R,BASSIGN,f,(S,R,BASSIGN,s1)) is Element of the carrier of (S,R,BASSIGN)
(g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,s1)) `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((g `),((S,R,BASSIGN,f,(S,R,BASSIGN,s1)) `)) is Element of the carrier of (S,R,BASSIGN)
[(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,s1)) `)] is set
{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,s1)) `)} is non empty set
{(g `)} is non empty trivial V45(1) set
{{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,s1)) `)},{(g `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,s1)) `)] is set
((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,s1)) `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,s1)) `)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,(S,R,BASSIGN,f,g,(S,R,BASSIGN,s1))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,g,(S,R,BASSIGN,s1))) } is set
h . s1 is Element of bool S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
bool S is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
X is Element of the carrier of (S,R,BASSIGN)
f is Element of the carrier of (S,R,BASSIGN)
g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g,X) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,X) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),X) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . X is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),X) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),X)) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),X)] is set
{f,((S,R,BASSIGN),X)} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),X)},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),X)] is set
((S,R,BASSIGN),g,(S,R,BASSIGN,f,X)) is Element of the carrier of (S,R,BASSIGN)
g ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
the Compl of (S,R,BASSIGN) . g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,X) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . (S,R,BASSIGN,f,X) is Element of the carrier of (S,R,BASSIGN)
(g `) "/\" ((S,R,BASSIGN,f,X) `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((g `),((S,R,BASSIGN,f,X) `)) is Element of the carrier of (S,R,BASSIGN)
[(g `),((S,R,BASSIGN,f,X) `)] is set
{(g `),((S,R,BASSIGN,f,X) `)} is non empty set
{(g `)} is non empty trivial V45(1) set
{{(g `),((S,R,BASSIGN,f,X) `)},{(g `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(g `),((S,R,BASSIGN,f,X) `)] is set
((g `) "/\" ((S,R,BASSIGN,f,X) `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((g `) "/\" ((S,R,BASSIGN,f,X) `)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,X) is Element of bool S
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : (S,R,BASSIGN,b<sub>1</sub>,X) } is set
(S,R,BASSIGN,f,g) is Relation-like bool S -defined bool S -valued Function-like quasi_total V226() Element of bool [:(bool S),(bool S):]
[:(bool S),(bool S):] is non empty set
bool [:(bool S),(bool S):] is non empty set
(S,R,BASSIGN,(S,R,BASSIGN,f,g,X)) is Element of bool S
{ b<sub>1</sub> where b<sub>1</sub> is Element of S : (S,R,BASSIGN,b<sub>1</sub>,(S,R,BASSIGN,f,g,X)) } is set
(S,R,BASSIGN,f,g) . (S,R,BASSIGN,X) is Element of bool S
(S,R,BASSIGN,f,g,(S,R,BASSIGN,X)) is Element of bool S
(S,R,BASSIGN,(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g,(S,R,BASSIGN,(S,R,BASSIGN,X))) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,(S,R,BASSIGN,X))) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,(S,R,BASSIGN,X))) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) . (S,R,BASSIGN,(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,(S,R,BASSIGN,X))) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,(S,R,BASSIGN,X)))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,(S,R,BASSIGN,X)))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,(S,R,BASSIGN,X)))} is non empty set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,(S,R,BASSIGN,X)))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,(S,R,BASSIGN,X)))] is set
((S,R,BASSIGN),g,(S,R,BASSIGN,f,(S,R,BASSIGN,(S,R,BASSIGN,X)))) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,(S,R,BASSIGN,X))) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . (S,R,BASSIGN,f,(S,R,BASSIGN,(S,R,BASSIGN,X))) is Element of the carrier of (S,R,BASSIGN)
(g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,(S,R,BASSIGN,X))) `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((g `),((S,R,BASSIGN,f,(S,R,BASSIGN,(S,R,BASSIGN,X))) `)) is Element of the carrier of (S,R,BASSIGN)
[(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,(S,R,BASSIGN,X))) `)] is set
{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,(S,R,BASSIGN,X))) `)} is non empty set
{{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,(S,R,BASSIGN,X))) `)},{(g `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,(S,R,BASSIGN,X))) `)] is set
((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,(S,R,BASSIGN,X))) `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,(S,R,BASSIGN,X))) `)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,(S,R,BASSIGN,f,g,(S,R,BASSIGN,(S,R,BASSIGN,X)))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,g,(S,R,BASSIGN,(S,R,BASSIGN,X)))) } is set
s1 is Element of S
s is Element of S
s is Element of S
s1 is Element of S
s is Element of S
s1 is set
s is Element of S
s1 is set
s is Element of S
s1 is Element of S
s is Element of S
j1 is Element of S
k is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
f is Element of the carrier of (S,R,BASSIGN)
g is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),f,g) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . (f,g) is Element of the carrier of (S,R,BASSIGN)
[f,g] is set
{f,g} is non empty set
{f} is non empty trivial V45(1) set
{{f,g},{f}} is non empty set
the of (S,R,BASSIGN) . [f,g] is set
(S,R,BASSIGN,((S,R,BASSIGN),f,g)) is Element of bool S
bool S is non empty set
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,((S,R,BASSIGN),f,g)) } is set
(S,R,BASSIGN,f,g) is Relation-like bool S -defined bool S -valued Function-like quasi_total V226() Element of bool [:(bool S),(bool S):]
[:(bool S),(bool S):] is non empty set
bool [:(bool S),(bool S):] is non empty set
lfp (S,(S,R,BASSIGN,f,g)) is Element of bool S
(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g)))) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g))))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g))))) } is set
(S,R,BASSIGN,f,g,(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g))))) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g))))) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g))))) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . (S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g)))) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g))))) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g)))))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g)))))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g)))))} is non empty set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g)))))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g)))))] is set
((S,R,BASSIGN),g,(S,R,BASSIGN,f,(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g)))))) is Element of the carrier of (S,R,BASSIGN)
g ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
the Compl of (S,R,BASSIGN) . g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g))))) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . (S,R,BASSIGN,f,(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g))))) is Element of the carrier of (S,R,BASSIGN)
(g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g))))) `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((g `),((S,R,BASSIGN,f,(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g))))) `)) is Element of the carrier of (S,R,BASSIGN)
[(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g))))) `)] is set
{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g))))) `)} is non empty set
{(g `)} is non empty trivial V45(1) set
{{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g))))) `)},{(g `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g))))) `)] is set
((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g))))) `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,(lfp (S,(S,R,BASSIGN,f,g))))) `)) is Element of the carrier of (S,R,BASSIGN)
s is Element of S
s1 is Element of S
s is set
s1 is Element of S
(S,R,BASSIGN,f,g,((S,R,BASSIGN),f,g)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),((S,R,BASSIGN),f,g)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) . ((S,R,BASSIGN),f,g) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),((S,R,BASSIGN),f,g)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),((S,R,BASSIGN),f,g))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),((S,R,BASSIGN),f,g))] is set
{f,((S,R,BASSIGN),((S,R,BASSIGN),f,g))} is non empty set
{{f,((S,R,BASSIGN),((S,R,BASSIGN),f,g))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),((S,R,BASSIGN),f,g))] is set
((S,R,BASSIGN),g,(S,R,BASSIGN,f,((S,R,BASSIGN),f,g))) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . (S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) is Element of the carrier of (S,R,BASSIGN)
(g `) "/\" ((S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((g `),((S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) `)) is Element of the carrier of (S,R,BASSIGN)
[(g `),((S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) `)] is set
{(g `),((S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) `)} is non empty set
{{(g `),((S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) `)},{(g `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(g `),((S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) `)] is set
((g `) "/\" ((S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((g `) "/\" ((S,R,BASSIGN,f,((S,R,BASSIGN),f,g)) `)) is Element of the carrier of (S,R,BASSIGN)
s is Element of S
s1 is Element of S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
f is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),f) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . f is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,((S,R,BASSIGN),f)) is Element of bool S
bool S is non empty set
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,((S,R,BASSIGN),f)) } is set
(S,R,BASSIGN,f) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,f) } is set
(S,R,(S,R,BASSIGN,f)) is Element of bool S
{ b₁ where b₁ is Element of S : ex b₂ being Element of S st
( b₂ in (S,R,BASSIGN,f) & [b₁,b₂] in R ) } is set
h is set
s is Element of S
s1 is Element of S
[s,s1] is set
{s,s1} is non empty set
{s} is non empty trivial V45(1) set
{{s,s1},{s}} is non empty set
s1 is Element of S
[s,s1] is set
{s,s1} is non empty set
{s} is non empty trivial V45(1) set
{{s,s1},{s}} is non empty set
s is Element of S
h is set
s is Element of S
s1 is Element of S
[s,s1] is set
{s,s1} is non empty set
{s} is non empty trivial V45(1) set
{{s,s1},{s}} is non empty set
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
bool S is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
f is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f) is Relation-like bool S -defined bool S -valued Function-like quasi_total V226() Element of bool [:(bool S),(bool S):]
[:(bool S),(bool S):] is non empty set
bool [:(bool S),(bool S):] is non empty set
(S,R,BASSIGN,f) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,f) } is set
g is Element of bool S
(S,R,BASSIGN,f) . g is Element of bool S
(S,R,g) is Element of bool S
{ b₁ where b₁ is Element of S : ex b₂ being Element of S st
( b₂ in g & [b₁,b₂] in R ) } is set
(S,R,BASSIGN,f) /\ (S,R,g) is Element of bool S
(S,R,BASSIGN,g) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g) is Element of bool S
(S,R,BASSIGN,f,(S,R,BASSIGN,g)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,g)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . (S,R,BASSIGN,g) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,g)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,g))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,g))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,g))} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,g))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,g))] is set
(S,R,BASSIGN,(S,R,BASSIGN,f,(S,R,BASSIGN,g))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,(S,R,BASSIGN,g))) } is set
(S,R,BASSIGN,((S,R,BASSIGN),(S,R,BASSIGN,g))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,((S,R,BASSIGN),(S,R,BASSIGN,g))) } is set
(S,R,BASSIGN,f) /\ (S,R,BASSIGN,((S,R,BASSIGN),(S,R,BASSIGN,g))) is Element of bool S
(S,R,BASSIGN,(S,R,BASSIGN,g)) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,g)) } is set
(S,R,(S,R,BASSIGN,(S,R,BASSIGN,g))) is Element of bool S
{ b₁ where b₁ is Element of S : ex b₂ being Element of S st
( b₂ in (S,R,BASSIGN,(S,R,BASSIGN,g)) & [b₁,b₂] in R ) } is set
(S,R,BASSIGN,f) /\ (S,R,(S,R,BASSIGN,(S,R,BASSIGN,g))) is Element of bool S
S is non empty set
[:S,S:] is non empty set
bool [:S,S:] is non empty set
(S) is non empty set
Funcs (S,BOOLEAN) is non empty FUNCTION_DOMAIN of S, BOOLEAN
bool (S) is non empty set
bool S is non empty set
R is Relation-like S -defined S -valued total Element of bool [:S,S:]
BASSIGN is non empty Element of bool (S)
(S,R,BASSIGN) is non empty () ()
(S) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
[:(S),(S):] is non empty set
[:[:(S),(S):],(S):] is non empty set
bool [:[:(S),(S):],(S):] is non empty set
(S) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
bool [:(S),(S):] is non empty set
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like (S) -defined (S) -valued Function-like quasi_total Element of bool [:(S),(S):]
(S,R) is Relation-like [:(S),(S):] -defined (S) -valued Function-like quasi_total Element of bool [:[:(S),(S):],(S):]
((S),BASSIGN,(S),(S),(S,R),(S,R),(S,R)) is () ()
the carrier of (S,R,BASSIGN) is non empty set
f is Element of the carrier of (S,R,BASSIGN)
g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g) is Relation-like bool S -defined bool S -valued Function-like quasi_total V226() Element of bool [:(bool S),(bool S):]
[:(bool S),(bool S):] is non empty set
bool [:(bool S),(bool S):] is non empty set
(S,R,BASSIGN,g) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,g) } is set
(S,R,BASSIGN,f) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,f) } is set
X is Element of bool S
(S,R,BASSIGN,f,g) . X is Element of bool S
(S,R,X) is Element of bool S
{ b₁ where b₁ is Element of S : ex b₂ being Element of S st
( b₂ in X & [b₁,b₂] in R ) } is set
(S,R,BASSIGN,f) /\ (S,R,X) is Element of bool S
(S,R,BASSIGN,g) \/ ((S,R,BASSIGN,f) /\ (S,R,X)) is Element of bool S
(S,R,BASSIGN,X) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,g,X) is Element of bool S
(S,R,BASSIGN,f,g,(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
((S,R,BASSIGN),(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
the of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] is non empty set
the of (S,R,BASSIGN) . (S,R,BASSIGN,X) is Element of the carrier of (S,R,BASSIGN)
f "/\" ((S,R,BASSIGN),(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) is Relation-like [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):] -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):]
[:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
bool [:[: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):], the carrier of (S,R,BASSIGN):] is non empty set
the L_meet of (S,R,BASSIGN) . (f,((S,R,BASSIGN),(S,R,BASSIGN,X))) is Element of the carrier of (S,R,BASSIGN)
[f,((S,R,BASSIGN),(S,R,BASSIGN,X))] is set
{f,((S,R,BASSIGN),(S,R,BASSIGN,X))} is non empty set
{f} is non empty trivial V45(1) set
{{f,((S,R,BASSIGN),(S,R,BASSIGN,X))},{f}} is non empty set
the L_meet of (S,R,BASSIGN) . [f,((S,R,BASSIGN),(S,R,BASSIGN,X))] is set
((S,R,BASSIGN),g,(S,R,BASSIGN,f,(S,R,BASSIGN,X))) is Element of the carrier of (S,R,BASSIGN)
g ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) is Relation-like the carrier of (S,R,BASSIGN) -defined the carrier of (S,R,BASSIGN) -valued Function-like quasi_total Element of bool [: the carrier of (S,R,BASSIGN), the carrier of (S,R,BASSIGN):]
the Compl of (S,R,BASSIGN) . g is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,f,(S,R,BASSIGN,X)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . (S,R,BASSIGN,f,(S,R,BASSIGN,X)) is Element of the carrier of (S,R,BASSIGN)
(g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `) is Element of the carrier of (S,R,BASSIGN)
the L_meet of (S,R,BASSIGN) . ((g `),((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)) is Element of the carrier of (S,R,BASSIGN)
[(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)] is set
{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)} is non empty set
{(g `)} is non empty trivial V45(1) set
{{(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)},{(g `)}} is non empty set
the L_meet of (S,R,BASSIGN) . [(g `),((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)] is set
((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)) ` is Element of the carrier of (S,R,BASSIGN)
the Compl of (S,R,BASSIGN) . ((g `) "/\" ((S,R,BASSIGN,f,(S,R,BASSIGN,X)) `)) is Element of the carrier of (S,R,BASSIGN)
(S,R,BASSIGN,(S,R,BASSIGN,f,g,(S,R,BASSIGN,X))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,g,(S,R,BASSIGN,X))) } is set
(S,R,BASSIGN,(S,R,BASSIGN,f,(S,R,BASSIGN,X))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,f,(S,R,BASSIGN,X))) } is set
(S,R,BASSIGN,g) \/ (S,R,BASSIGN,(S,R,BASSIGN,f,(S,R,BASSIGN,X))) is Element of bool S
(S,R,BASSIGN,((S,R,BASSIGN),(S,R,BASSIGN,X))) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,((S,R,BASSIGN),(S,R,BASSIGN,X))) } is set
(S,R,BASSIGN,f) /\ (S,R,BASSIGN,((S,R,BASSIGN),(S,R,BASSIGN,X))) is Element of bool S
(S,R,BASSIGN,g) \/ ((S,R,BASSIGN,f) /\ (S,R,BASSIGN,((S,R,BASSIGN),(S,R,BASSIGN,X)))) is Element of bool S
(S,R,BASSIGN,(S,R,BASSIGN,X)) is Element of bool S
{ b₁ where b₁ is Element of S : (S,R,BASSIGN,b₁,(S,R,BASSIGN,X)) } is set
(S,R,(S,R,BASSIGN,(S,R,BASSIGN,X))) is Element of bool S
{ b₁ where b₁ is Element of S : ex b₂ being Element of S st
( b₂ in (S,R,BASSIGN,(S,R,BASSIGN,X)) & [b₁,b₂] in R ) } is set
(S,R,BASSIGN,f) /\ (S,R,(S,R,BASSIGN,(S,R,BASSIGN,X))) is Element of bool S
(S,R,BASSIGN,g) \/ ((S,R,BASSIGN,f) /\ (S,R,(S,R,BASSIGN,(S,R,BASSIGN,X)))) is Element of bool S