:: QUATERNI semantic presentation

REAL is non empty V45() V46() V47() V51() V52() set
NAT is non empty epsilon-transitive epsilon-connected ordinal V45() V46() V47() V48() V49() V50() V51() Element of bool REAL
bool REAL is non empty set
omega is non empty epsilon-transitive epsilon-connected ordinal V45() V46() V47() V48() V49() V50() V51() set
RAT+ is set
{} is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
RAT is non empty V45() V46() V47() V48() V51() V52() set
{ [b₁,b₂] where b₁, b₂ is epsilon-transitive epsilon-connected ordinal natural complex real ext-real V43() V44() V45() V46() V47() V48() V49() V50() Element of omega : ( b₁,b₂ are_relative_prime & not b₂ = {} ) } is set
1 is non empty epsilon-transitive epsilon-connected ordinal natural complex real ext-real positive non negative V43() V44() V45() V46() V47() V48() V49() V50() Element of NAT
{ [b₁,1] where b₁ is epsilon-transitive epsilon-connected ordinal natural complex real ext-real V43() V44() V45() V46() V47() V48() V49() V50() Element of omega : verum } is set
{ [b₁,b₂] where b₁, b₂ is epsilon-transitive epsilon-connected ordinal natural complex real ext-real V43() V44() V45() V46() V47() V48() V49() V50() Element of omega : ( b₁,b₂ are_relative_prime & not b₂ = {} ) } \ { [b₁,1] where b₁ is epsilon-transitive epsilon-connected ordinal natural complex real ext-real V43() V44() V45() V46() V47() V48() V49() V50() Element of omega : verum } is Element of bool { [b₁,b₂] where b₁, b₂ is epsilon-transitive epsilon-connected ordinal natural complex real ext-real V43() V44() V45() V46() V47() V48() V49() V50() Element of omega : ( b₁,b₂ are_relative_prime & not b₂ = {} ) }
bool { [b₁,b₂] where b₁, b₂ is epsilon-transitive epsilon-connected ordinal natural complex real ext-real V43() V44() V45() V46() V47() V48() V49() V50() Element of omega : ( b₁,b₂ are_relative_prime & not b₂ = {} ) } is non empty set
( { [b₁,b₂] where b₁, b₂ is epsilon-transitive epsilon-connected ordinal natural complex real ext-real V43() V44() V45() V46() V47() V48() V49() V50() Element of omega : ( b₁,b₂ are_relative_prime & not b₂ = {} ) } \ { [b₁,1] where b₁ is epsilon-transitive epsilon-connected ordinal natural complex real ext-real V43() V44() V45() V46() V47() V48() V49() V50() Element of omega : verum } ) \/ omega is non empty set
bool RAT+ is non empty set
bool (bool RAT+) is non empty set
DEDEKIND_CUTS is Element of bool (bool RAT+)
REAL+ is set
COMPLEX is non empty V45() V51() V52() set
INT is non empty V45() V46() V47() V48() V49() V51() V52() set
{{}} is non empty V45() V46() V47() V48() V49() V50() set
[:{{}},REAL+:] is Relation-like set
REAL+ \/ [:{{}},REAL+:] is set
[{},{}] is set
{{},{}} is non empty V45() V46() V47() V48() V49() V50() set
{{{},{}},{{}}} is non empty set
{[{},{}]} is Relation-like non empty set
(REAL+ \/ [:{{}},REAL+:]) \ {[{},{}]} is Element of bool (REAL+ \/ [:{{}},REAL+:])
bool (REAL+ \/ [:{{}},REAL+:]) is non empty set
{{},1} is non empty V45() V46() V47() V48() V49() V50() set
Funcs ({{},1},REAL) is functional non empty FUNCTION_DOMAIN of {{},1}, REAL
{ b₁ where b₁ is Relation-like {{},1} -defined REAL -valued Function-like V14({{},1}) quasi_total V33() V34() V35() Element of Funcs ({{},1},REAL) : b₁ . 1 = {} } is set
(Funcs ({{},1},REAL)) \ { b₁ where b₁ is Relation-like {{},1} -defined REAL -valued Function-like V14({{},1}) quasi_total V33() V34() V35() Element of Funcs ({{},1},REAL) : b₁ . 1 = {} } is Element of bool (Funcs ({{},1},REAL))
bool (Funcs ({{},1},REAL)) is non empty set
((Funcs ({{},1},REAL)) \ { b₁ where b₁ is Relation-like {{},1} -defined REAL -valued Function-like V14({{},1}) quasi_total V33() V34() V35() Element of Funcs ({{},1},REAL) : b₁ . 1 = {} } ) \/ REAL is non empty set
2 is non empty epsilon-transitive epsilon-connected ordinal natural complex real ext-real positive non negative V43() V44() V45() V46() V47() V48() V49() V50() Element of NAT
[:2,REAL:] is Relation-like non empty V33() V34() V35() set
bool [:2,REAL:] is non empty set
0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V43() V44() V45() V46() V47() V48() V49() V50() V51() Element of NAT
{0,1} is non empty V45() V46() V47() V48() V49() V50() set
{ b₁ where b₁ is Element of bool RAT+ : for b₂ being Element of RAT+ holds
( not b₂ in b₁ or ( ( for b₃ being Element of RAT+ holds
( not b₃ <=' b₂ or b₃ in b₁ ) ) & ex b₃ being Element of RAT+ st
( b₃ in b₁ & not b₃ <=' b₂ ) ) ) } is set
{RAT+} is non empty set
{ b₁ where b₁ is Element of bool RAT+ : for b₂ being Element of RAT+ holds
( not b₂ in b₁ or ( ( for b₃ being Element of RAT+ holds
( not b₃ <=' b₂ or b₃ in b₁ ) ) & ex b₃ being Element of RAT+ st
( b₃ in b₁ & not b₃ <=' b₂ ) ) ) } \ {RAT+} is Element of bool { b₁ where b₁ is Element of bool RAT+ : for b₂ being Element of RAT+ holds
( not b₂ in b₁ or ( ( for b₃ being Element of RAT+ holds
( not b₃ <=' b₂ or b₃ in b₁ ) ) & ex b₃ being Element of RAT+ st
( b₃ in b₁ & not b₃ <=' b₂ ) ) ) }
bool { b₁ where b₁ is Element of bool RAT+ : for b₂ being Element of RAT+ holds
( not b₂ in b₁ or ( ( for b₃ being Element of RAT+ holds
( not b₃ <=' b₂ or b₃ in b₁ ) ) & ex b₃ being Element of RAT+ st
( b₃ in b₁ & not b₃ <=' b₂ ) ) ) } is non empty set
RAT+ \/ DEDEKIND_CUTS is set
{} is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of RAT+
{ { b₂ where b₂ is Element of RAT+ : not b₁ <=' b₂ } where b₁ is Element of RAT+ : not b₁ = {} } is set
(RAT+ \/ DEDEKIND_CUTS) \ { { b₂ where b₂ is Element of RAT+ : not b₁ <=' b₂ } where b₁ is Element of RAT+ : not b₁ = {} } is Element of bool (RAT+ \/ DEDEKIND_CUTS)
bool (RAT+ \/ DEDEKIND_CUTS) is non empty set
sqrt 0 is complex real ext-real Element of REAL
sqrt 1 is complex real ext-real Element of REAL
4 is non empty epsilon-transitive epsilon-connected ordinal natural complex real ext-real positive non negative V43() V44() V45() V46() V47() V48() V49() V50() Element of NAT
3 is non empty epsilon-transitive epsilon-connected ordinal natural complex real ext-real positive non negative V43() V44() V45() V46() V47() V48() V49() V50() Element of NAT
{{},1,2,3} is non empty set
Funcs (4,REAL) is functional non empty FUNCTION_DOMAIN of 4, REAL
{ b₁ where b₁ is Relation-like 4 -defined REAL -valued Function-like V14(4) quasi_total V33() V34() V35() Element of Funcs (4,REAL) : ( b₁ . 2 = 0 & b₁ . 3 = 0 ) } is set
(Funcs (4,REAL)) \ { b₁ where b₁ is Relation-like 4 -defined REAL -valued Function-like V14(4) quasi_total V33() V34() V35() Element of Funcs (4,REAL) : ( b₁ . 2 = 0 & b₁ . 3 = 0 ) } is Element of bool (Funcs (4,REAL))
bool (Funcs (4,REAL)) is non empty set
((Funcs (4,REAL)) \ { b₁ where b₁ is Relation-like 4 -defined REAL -valued Function-like V14(4) quasi_total V33() V34() V35() Element of Funcs (4,REAL) : ( b₁ . 2 = 0 & b₁ . 3 = 0 ) } ) \/ COMPLEX is non empty set
() is set
z is set
z2 is set
m3 is set
m4 is set
(z,z2) --> (m3,m4) is Relation-like Function-like set
m1 is set
m2 is set
n1 is set
n2 is set
(m1,m2) --> (n1,n2) is Relation-like Function-like set
((z,z2) --> (m3,m4)) +* ((m1,m2) --> (n1,n2)) is Relation-like Function-like set
z is set
z2 is set
m1 is set
m2 is set
m3 is set
m4 is set
n1 is set
n2 is set
(z,z2,m1,m2,m3,m4,n1,n2) is set
(z,z2) --> (m3,m4) is Relation-like Function-like set
(m1,m2) --> (n1,n2) is Relation-like Function-like set
((z,z2) --> (m3,m4)) +* ((m1,m2) --> (n1,n2)) is Relation-like Function-like set
z is set
z2 is set
m1 is set
m2 is set
{z,z2,m1,m2} is non empty set
m3 is set
m4 is set
n1 is set
n2 is set
(z,z2,m1,m2,m3,m4,n1,n2) is Relation-like Function-like set
(z,z2) --> (m3,m4) is Relation-like Function-like set
(m1,m2) --> (n1,n2) is Relation-like Function-like set
((z,z2) --> (m3,m4)) +* ((m1,m2) --> (n1,n2)) is Relation-like Function-like set
dom (z,z2,m1,m2,m3,m4,n1,n2) is set
dom ((z,z2) --> (m3,m4)) is set
{z,z2} is non empty set
dom ((m1,m2) --> (n1,n2)) is set
{m1,m2} is non empty set
(dom ((z,z2) --> (m3,m4))) \/ (dom ((m1,m2) --> (n1,n2))) is set
z is set
z2 is set
m1 is set
m2 is set
m3 is set
m4 is set
n1 is set
n2 is set
(z,z2,m1,m2,m3,m4,n1,n2) is Relation-like Function-like set
(z,z2) --> (m3,m4) is Relation-like Function-like set
(m1,m2) --> (n1,n2) is Relation-like Function-like set
((z,z2) --> (m3,m4)) +* ((m1,m2) --> (n1,n2)) is Relation-like Function-like set
rng (z,z2,m1,m2,m3,m4,n1,n2) is set
{m3,m4,n1,n2} is non empty set
rng ((z,z2) --> (m3,m4)) is set
{m3,m4} is non empty set
rng ((m1,m2) --> (n1,n2)) is set
{n1,n2} is non empty set
(rng ((z,z2) --> (m3,m4))) \/ (rng ((m1,m2) --> (n1,n2))) is set
{m3,m4} \/ {n1,n2} is non empty set
rng (((z,z2) --> (m3,m4)) +* ((m1,m2) --> (n1,n2))) is set
z is set
z2 is set
m1 is set
m2 is set
m3 is set
m4 is set
n1 is set
n2 is set
(z,z2,m1,m2,m3,m4,n1,n2) is Relation-like Function-like set
(z,z2) --> (m3,m4) is Relation-like Function-like set
(m1,m2) --> (n1,n2) is Relation-like Function-like set
((z,z2) --> (m3,m4)) +* ((m1,m2) --> (n1,n2)) is Relation-like Function-like set
(z,z2,m1,m2,m3,m4,n1,n2) . z is set
(z,z2,m1,m2,m3,m4,n1,n2) . z2 is set
(z,z2,m1,m2,m3,m4,n1,n2) . m1 is set
(z,z2,m1,m2,m3,m4,n1,n2) . m2 is set
((z,z2) --> (m3,m4)) . z is set
((z,z2) --> (m3,m4)) . z2 is set
((m1,m2) --> (n1,n2)) . m1 is set
((m1,m2) --> (n1,n2)) . m2 is set
dom ((m1,m2) --> (n1,n2)) is set
{m1,m2} is non empty set
z is set
z2 is set
m1 is set
m2 is set
m3 is set
m4 is set
n1 is set
n2 is set
{m3,m4,n1,n2} is non empty set
(z,z2,m1,m2,m3,m4,n1,n2) is Relation-like Function-like set
(z,z2) --> (m3,m4) is Relation-like Function-like set
(m1,m2) --> (n1,n2) is Relation-like Function-like set
((z,z2) --> (m3,m4)) +* ((m1,m2) --> (n1,n2)) is Relation-like Function-like set
rng (z,z2,m1,m2,m3,m4,n1,n2) is set
n4 is set
dom (z,z2,m1,m2,m3,m4,n1,n2) is set
{z,z2,m1,m2} is non empty set
(z,z2,m1,m2,m3,m4,n1,n2) . z is set
(z,z2,m1,m2,m3,m4,n1,n2) . z2 is set
(z,z2,m1,m2,m3,m4,n1,n2) . m1 is set
(z,z2,m1,m2,m3,m4,n1,n2) . m2 is set
z is set
z2 is set
m1 is set
m2 is set
m3 is set
m4 is set
n1 is set
n2 is set
(z,z2,m1,m2,m3,m4,n1,n2) is Relation-like Function-like set
(z,z2) --> (m3,m4) is Relation-like Function-like set
(m1,m2) --> (n1,n2) is Relation-like Function-like set
((z,z2) --> (m3,m4)) +* ((m1,m2) --> (n1,n2)) is Relation-like Function-like set
rng (z,z2,m1,m2,m3,m4,n1,n2) is set
{m3,m4,n1,n2} is non empty set
z is set
z2 is set
m1 is set
m2 is set
{z,z2,m1,m2} is non empty set
m3 is set
m4 is set
z is non empty set
z2 is set
m1 is set
m2 is set
m3 is set
m4 is Element of z
n1 is Element of z
n2 is Element of z
n3 is Element of z
(z2,m1,m2,m3,m4,n1,n2,n3) is Relation-like Function-like set
(z2,m1) --> (m4,n1) is Relation-like Function-like set
(m2,m3) --> (n2,n3) is Relation-like Function-like set
((z2,m1) --> (m4,n1)) +* ((m2,m3) --> (n2,n3)) is Relation-like Function-like set
{z2,m1,m2,m3} is non empty set
[:{z2,m1,m2,m3},z:] is Relation-like non empty set
bool [:{z2,m1,m2,m3},z:] is non empty set
(z2,m1) --> (m4,n1) is Relation-like {z2,m1} -defined z -valued Function-like non empty V14({z2,m1}) quasi_total Element of bool [:{z2,m1},z:]
{z2,m1} is non empty set
[:{z2,m1},z:] is Relation-like non empty set
bool [:{z2,m1},z:] is non empty set
(m2,m3) --> (n2,n3) is Relation-like {m2,m3} -defined z -valued Function-like non empty V14({m2,m3}) quasi_total Element of bool [:{m2,m3},z:]
{m2,m3} is non empty set
[:{m2,m3},z:] is Relation-like non empty set
bool [:{m2,m3},z:] is non empty set
rng (z2,m1,m2,m3,m4,n1,n2,n3) is set
rng ((z2,m1) --> (m4,n1)) is non empty Element of bool z
bool z is non empty set
rng ((m2,m3) --> (n2,n3)) is non empty Element of bool z
(rng ((z2,m1) --> (m4,n1))) \/ (rng ((m2,m3) --> (n2,n3))) is non empty Element of bool z
dom (z2,m1,m2,m3,m4,n1,n2,n3) is set
(NAT,0,1,2,3,0,0,1,0) is Relation-like {0,1,2,3} -defined NAT -valued Function-like non empty V14({0,1,2,3}) quasi_total V33() V34() V35() V36() Element of bool [:{0,1,2,3},NAT:]
{0,1,2,3} is non empty set
[:{0,1,2,3},NAT:] is Relation-like RAT -valued INT -valued non empty V33() V34() V35() V36() set
bool [:{0,1,2,3},NAT:] is non empty set
(0,1) --> (0,0) is Relation-like NAT -defined Function-like set
(2,3) --> (1,0) is Relation-like NAT -defined Function-like set
((0,1) --> (0,0)) +* ((2,3) --> (1,0)) is Relation-like NAT -defined Function-like set
(NAT,0,1,2,3,0,0,0,1) is Relation-like {0,1,2,3} -defined NAT -valued Function-like non empty V14({0,1,2,3}) quasi_total V33() V34() V35() V36() Element of bool [:{0,1,2,3},NAT:]
(2,3) --> (0,1) is Relation-like NAT -defined Function-like set
((0,1) --> (0,0)) +* ((2,3) --> (0,1)) is Relation-like NAT -defined Function-like set
() is set
() is set
<i> is set
(0,1) --> (0,1) is Relation-like NAT -defined {0,1} -defined REAL -valued Function-like non empty V14({0,1}) quasi_total V33() V34() V35() Element of bool [:{0,1},REAL:]
[:{0,1},REAL:] is Relation-like non empty V33() V34() V35() set
bool [:{0,1},REAL:] is non empty set
[*0,1*] is complex Element of COMPLEX
z2 is Relation-like 4 -defined REAL -valued Function-like V14(4) quasi_total V33() V34() V35() Element of Funcs (4,REAL)
z2 . 2 is complex real ext-real Element of REAL
z2 . 3 is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
(REAL,0,1,2,3,z2,m1,m2,m3) is Relation-like {0,1,2,3} -defined REAL -valued Function-like non empty V14({0,1,2,3}) quasi_total V33() V34() V35() Element of bool [:{0,1,2,3},REAL:]
[:{0,1,2,3},REAL:] is Relation-like non empty V33() V34() V35() set
bool [:{0,1,2,3},REAL:] is non empty set
(0,1) --> (z2,m1) is Relation-like NAT -defined Function-like set
(2,3) --> (m2,m3) is Relation-like NAT -defined Function-like set
((0,1) --> (z2,m1)) +* ((2,3) --> (m2,m3)) is Relation-like NAT -defined Function-like set
z2 is Relation-like 4 -defined REAL -valued Function-like V14(4) quasi_total V33() V34() V35() Element of Funcs (4,REAL)
z2 . 2 is complex real ext-real Element of REAL
z2 . 3 is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
(REAL,0,1,2,3,z2,m1,m2,m3) is Relation-like {0,1,2,3} -defined REAL -valued Function-like non empty V14({0,1,2,3}) quasi_total V33() V34() V35() Element of bool [:{0,1,2,3},REAL:]
[:{0,1,2,3},REAL:] is Relation-like non empty V33() V34() V35() set
bool [:{0,1,2,3},REAL:] is non empty set
(0,1) --> (z2,m1) is Relation-like NAT -defined Function-like set
(2,3) --> (m2,m3) is Relation-like NAT -defined Function-like set
((0,1) --> (z2,m1)) +* ((2,3) --> (m2,m3)) is Relation-like NAT -defined Function-like set
z is Element of ()
m1 is complex real ext-real set
m2 is complex real ext-real set
z is complex real ext-real set
z2 is complex real ext-real set
(0,1,2,3,z,z2,m1,m2) is Relation-like Function-like set
(0,1) --> (z,z2) is Relation-like NAT -defined Function-like set
(2,3) --> (m1,m2) is Relation-like NAT -defined Function-like set
((0,1) --> (z,z2)) +* ((2,3) --> (m1,m2)) is Relation-like NAT -defined Function-like set
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
[*m3,m4*] is complex Element of COMPLEX
n4 is () Element of ()
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
n1 is complex real ext-real Element of REAL
n2 is complex real ext-real Element of REAL
(REAL,0,1,2,3,m3,m4,n1,n2) is Relation-like {0,1,2,3} -defined REAL -valued Function-like non empty V14({0,1,2,3}) quasi_total V33() V34() V35() Element of bool [:{0,1,2,3},REAL:]
[:{0,1,2,3},REAL:] is Relation-like non empty V33() V34() V35() set
bool [:{0,1,2,3},REAL:] is non empty set
(0,1) --> (m3,m4) is Relation-like NAT -defined Function-like set
(2,3) --> (n1,n2) is Relation-like NAT -defined Function-like set
((0,1) --> (m3,m4)) +* ((2,3) --> (n1,n2)) is Relation-like NAT -defined Function-like set
n4 is Relation-like 4 -defined REAL -valued Function-like V14(4) quasi_total V33() V34() V35() Element of Funcs (4,REAL)
n4 . 2 is complex real ext-real Element of REAL
n4 . 3 is complex real ext-real Element of REAL
n4 is () Element of ()
n1 is complex real ext-real Element of REAL
n2 is complex real ext-real Element of REAL
m3 is () Element of ()
[*n1,n2*] is complex Element of COMPLEX
n3 is complex real ext-real Element of REAL
n4 is complex real ext-real Element of REAL
m4 is () Element of ()
[*n3,n4*] is complex Element of COMPLEX
b1 is () Element of ()
b2 is () Element of ()
z is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
(z,z2,0,0) is () Element of ()
[*z,z2*] is complex Element of COMPLEX
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
[*m1,m2*] is complex Element of COMPLEX
z is set
z2 is set
m1 is set
m2 is set
{z,z2,m1,m2} is non empty set
m3 is set
m4 is set
n1 is set
n2 is set
(z,z2,m1,m2,m3,m4,n1,n2) is Relation-like Function-like set
(z,z2) --> (m3,m4) is Relation-like Function-like set
(m1,m2) --> (n1,n2) is Relation-like Function-like set
((z,z2) --> (m3,m4)) +* ((m1,m2) --> (n1,n2)) is Relation-like Function-like set
n3 is Relation-like Function-like set
dom n3 is set
n3 . z is set
n3 . z2 is set
n3 . m1 is set
n3 . m2 is set
dom ((z,z2) --> (m3,m4)) is set
{z,z2} is non empty set
dom ((m1,m2) --> (n1,n2)) is set
{m1,m2} is non empty set
(dom ((z,z2) --> (m3,m4))) \/ (dom ((m1,m2) --> (n1,n2))) is set
b2 is set
n3 . b2 is set
((m1,m2) --> (n1,n2)) . b2 is set
((z,z2) --> (m3,m4)) . b2 is set
z is () set
z2 is complex real ext-real Element of REAL
m1 is complex real ext-real Element of REAL
[*z2,m1*] is complex Element of COMPLEX
(z2,m1,0,0) is () Element of ()
z2 is Relation-like Function-like set
dom z2 is set
rng z2 is set
z2 . 0 is set
z2 . 1 is set
z2 . 2 is set
z2 . 3 is set
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
(REAL,0,1,2,3,m1,m2,m3,m4) is Relation-like {0,1,2,3} -defined REAL -valued Function-like non empty V14({0,1,2,3}) quasi_total V33() V34() V35() Element of bool [:{0,1,2,3},REAL:]
[:{0,1,2,3},REAL:] is Relation-like non empty V33() V34() V35() set
bool [:{0,1,2,3},REAL:] is non empty set
(0,1) --> (m1,m2) is Relation-like NAT -defined Function-like set
(2,3) --> (m3,m4) is Relation-like NAT -defined Function-like set
((0,1) --> (m1,m2)) +* ((2,3) --> (m3,m4)) is Relation-like NAT -defined Function-like set
(m1,m2,m3,m4) is () Element of ()
(REAL,0,1,2,3,m1,m2,m3,m4) . 2 is complex real ext-real Element of REAL
(REAL,0,1,2,3,m1,m2,m3,m4) . 3 is complex real ext-real Element of REAL
z is set
z2 is set
m1 is set
m2 is set
m3 is set
[z,m3] is set
{z,m3} is non empty set
{z} is non empty set
{{z,m3},{z}} is non empty set
m4 is set
[z2,m4] is set
{z2,m4} is non empty set
{z2} is non empty set
{{z2,m4},{z2}} is non empty set
n1 is set
[m1,n1] is set
{m1,n1} is non empty set
{m1} is non empty set
{{m1,n1},{m1}} is non empty set
n2 is set
(z,z2,m1,m2,m3,m4,n1,n2) is Relation-like Function-like set
(z,z2) --> (m3,m4) is Relation-like Function-like set
(m1,m2) --> (n1,n2) is Relation-like Function-like set
((z,z2) --> (m3,m4)) +* ((m1,m2) --> (n1,n2)) is Relation-like Function-like set
[m2,n2] is set
{m2,n2} is non empty set
{m2} is non empty set
{{m2,n2},{m2}} is non empty set
{[z,m3],[z2,m4],[m1,n1],[m2,n2]} is non empty set
dom ((z,z2) --> (m3,m4)) is set
{z,z2} is non empty set
dom ((m1,m2) --> (n1,n2)) is set
{m1,m2} is non empty set
((z,z2) --> (m3,m4)) \/ ((m1,m2) --> (n1,n2)) is Relation-like set
{[z,m3],[z2,m4]} is Relation-like non empty set
{[z,m3],[z2,m4]} \/ ((m1,m2) --> (n1,n2)) is Relation-like non empty set
{[m1,n1],[m2,n2]} is Relation-like non empty set
{[z,m3],[z2,m4]} \/ {[m1,n1],[m2,n2]} is Relation-like non empty set
z is set
z2 is set
[z,z2] is set
{z,z2} is non empty set
{z} is non empty set
{{z,z2},{z}} is non empty set
m1 is set
{m1} is non empty set
z is Element of bool RAT+
z2 is Element of RAT+
m1 is Element of RAT+
m1 + m1 is Element of RAT+
m2 is Element of RAT+
m2 + m2 is Element of RAT+
m3 is Element of RAT+
m3 + m3 is Element of RAT+
z2 + {} is Element of RAT+
z2 + z2 is Element of RAT+
m1 + {} is Element of RAT+
m2 + {} is Element of RAT+
z is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
(REAL,0,1,2,3,z,z2,m1,m2) is Relation-like {0,1,2,3} -defined REAL -valued Function-like non empty V14({0,1,2,3}) quasi_total V33() V34() V35() Element of bool [:{0,1,2,3},REAL:]
[:{0,1,2,3},REAL:] is Relation-like non empty V33() V34() V35() set
bool [:{0,1,2,3},REAL:] is non empty set
(0,1) --> (z,z2) is Relation-like NAT -defined Function-like set
(2,3) --> (m1,m2) is Relation-like NAT -defined Function-like set
((0,1) --> (z,z2)) +* ((2,3) --> (m1,m2)) is Relation-like NAT -defined Function-like set
[0,z] is set
{0,z} is non empty V45() V46() V47() set
{0} is non empty V45() V46() V47() V48() V49() V50() set
{{0,z},{0}} is non empty set
[1,z2] is set
{1,z2} is non empty V45() V46() V47() set
{1} is non empty V45() V46() V47() V48() V49() V50() set
{{1,z2},{1}} is non empty set
[2,m1] is set
{2,m1} is non empty V45() V46() V47() set
{2} is non empty V45() V46() V47() V48() V49() V50() set
{{2,m1},{2}} is non empty set
[3,m2] is set
{3,m2} is non empty V45() V46() V47() set
{3} is non empty V45() V46() V47() V48() V49() V50() set
{{3,m2},{3}} is non empty set
{[0,z],[1,z2],[2,m1],[3,m2]} is non empty set
{ [b₁,b₂] where b₁, b₂ is epsilon-transitive epsilon-connected ordinal natural complex real ext-real V43() V44() V45() V46() V47() V48() V49() V50() Element of NAT : ( b₁,b₂ are_relative_prime & not b₂ = {} ) } is set
m4 is epsilon-transitive epsilon-connected ordinal natural complex real ext-real V43() V44() V45() V46() V47() V48() V49() V50() Element of NAT
n1 is epsilon-transitive epsilon-connected ordinal natural complex real ext-real V43() V44() V45() V46() V47() V48() V49() V50() Element of NAT
[m4,n1] is set
{m4,n1} is non empty V45() V46() V47() V48() V49() V50() set
{m4} is non empty V45() V46() V47() V48() V49() V50() set
{{m4,n1},{m4}} is non empty set
{{m4}} is non empty set
{ [b₁,1] where b₁ is epsilon-transitive epsilon-connected ordinal natural complex real ext-real V43() V44() V45() V46() V47() V48() V49() V50() Element of NAT : verum } is set
{ [b₁,b₂] where b₁, b₂ is epsilon-transitive epsilon-connected ordinal natural complex real ext-real V43() V44() V45() V46() V47() V48() V49() V50() Element of NAT : ( b₁,b₂ are_relative_prime & not b₂ = {} ) } \ { [b₁,1] where b₁ is epsilon-transitive epsilon-connected ordinal natural complex real ext-real V43() V44() V45() V46() V47() V48() V49() V50() Element of NAT : verum } is Element of bool { [b₁,b₂] where b₁, b₂ is epsilon-transitive epsilon-connected ordinal natural complex real ext-real V43() V44() V45() V46() V47() V48() V49() V50() Element of NAT : ( b₁,b₂ are_relative_prime & not b₂ = {} ) }
bool { [b₁,b₂] where b₁, b₂ is epsilon-transitive epsilon-connected ordinal natural complex real ext-real V43() V44() V45() V46() V47() V48() V49() V50() Element of NAT : ( b₁,b₂ are_relative_prime & not b₂ = {} ) } is non empty set
n1 is set
[0,n1] is set
{0,n1} is non empty set
{{0,n1},{0}} is non empty set
n2 is set
[1,n2] is set
{1,n2} is non empty set
{{1,n2},{1}} is non empty set
n3 is set
[2,n3] is set
{2,n3} is non empty set
{{2,n3},{2}} is non empty set
n4 is set
[3,n4] is set
{3,n4} is non empty set
{{3,n4},{3}} is non empty set
{[0,n1],[1,n2],[2,n3],[3,n4]} is non empty set
b1 is Element of bool RAT+
b2 is Element of RAT+
b3 is Element of RAT+
b2 is Element of RAT+
b3 is Element of RAT+
b4 is Element of RAT+
a3 is Element of RAT+
a4 is Element of RAT+
{{}} is non empty V45() V46() V47() V48() V49() V50() set
[:{{}},REAL+:] is Relation-like set
n1 is set
n2 is set
[n1,n2] is set
{n1,n2} is non empty set
{n1} is non empty set
{{n1,n2},{n1}} is non empty set
{0,n2} is non empty set
{0,n2} is non empty set
z is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
(REAL,0,1,2,3,z,z2,m1,m2) is Relation-like {0,1,2,3} -defined REAL -valued Function-like non empty V14({0,1,2,3}) quasi_total V33() V34() V35() Element of bool [:{0,1,2,3},REAL:]
[:{0,1,2,3},REAL:] is Relation-like non empty V33() V34() V35() set
bool [:{0,1,2,3},REAL:] is non empty set
(0,1) --> (z,z2) is Relation-like NAT -defined Function-like set
(2,3) --> (m1,m2) is Relation-like NAT -defined Function-like set
((0,1) --> (z,z2)) +* ((2,3) --> (m1,m2)) is Relation-like NAT -defined Function-like set
Funcs ({0,1},REAL) is functional non empty FUNCTION_DOMAIN of {0,1}, REAL
dom (REAL,0,1,2,3,z,z2,m1,m2) is non empty Element of bool {0,1,2,3}
bool {0,1,2,3} is non empty set
{2,3} is non empty V45() V46() V47() V48() V49() V50() set
{0,1} \/ {2,3} is non empty V45() V46() V47() V48() V49() V50() set
{ b₁ where b₁ is Relation-like {0,1} -defined REAL -valued Function-like V14({0,1}) quasi_total V33() V34() V35() Element of Funcs ({0,1},REAL) : b₁ . 1 = 0 } is set
(Funcs ({0,1},REAL)) \ { b₁ where b₁ is Relation-like {0,1} -defined REAL -valued Function-like V14({0,1}) quasi_total V33() V34() V35() Element of Funcs ({0,1},REAL) : b₁ . 1 = 0 } is Element of bool (Funcs ({0,1},REAL))
bool (Funcs ({0,1},REAL)) is non empty set
z is set
z2 is set
m1 is set
m2 is set
m3 is set
m4 is set
n1 is set
n2 is set
(z,z2,m1,m2,m3,m4,n1,n2) is Relation-like Function-like set
(z,z2) --> (m3,m4) is Relation-like Function-like set
(m1,m2) --> (n1,n2) is Relation-like Function-like set
((z,z2) --> (m3,m4)) +* ((m1,m2) --> (n1,n2)) is Relation-like Function-like set
n3 is set
n4 is set
b1 is set
b2 is set
(z,z2,m1,m2,n3,n4,b1,b2) is Relation-like Function-like set
(z,z2) --> (n3,n4) is Relation-like Function-like set
(m1,m2) --> (b1,b2) is Relation-like Function-like set
((z,z2) --> (n3,n4)) +* ((m1,m2) --> (b1,b2)) is Relation-like Function-like set
(z,z2,m1,m2,m3,m4,n1,n2) . z is set
(z,z2,m1,m2,m3,m4,n1,n2) . z2 is set
(z,z2,m1,m2,m3,m4,n1,n2) . m1 is set
(z,z2,m1,m2,m3,m4,n1,n2) . m2 is set
z is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
(z,z2,m1,m2) is () Element of ()
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
n1 is complex real ext-real Element of REAL
n2 is complex real ext-real Element of REAL
(m3,m4,n1,n2) is () Element of ()
[*z,z2*] is complex Element of COMPLEX
(REAL,0,1,2,3,m3,m4,n1,n2) is Relation-like {0,1,2,3} -defined REAL -valued Function-like non empty V14({0,1,2,3}) quasi_total V33() V34() V35() Element of bool [:{0,1,2,3},REAL:]
[:{0,1,2,3},REAL:] is Relation-like non empty V33() V34() V35() set
bool [:{0,1,2,3},REAL:] is non empty set
(0,1) --> (m3,m4) is Relation-like NAT -defined Function-like set
(2,3) --> (n1,n2) is Relation-like NAT -defined Function-like set
((0,1) --> (m3,m4)) +* ((2,3) --> (n1,n2)) is Relation-like NAT -defined Function-like set
[*m3,m4*] is complex Element of COMPLEX
(REAL,0,1,2,3,z,z2,m1,m2) is Relation-like {0,1,2,3} -defined REAL -valued Function-like non empty V14({0,1,2,3}) quasi_total V33() V34() V35() Element of bool [:{0,1,2,3},REAL:]
[:{0,1,2,3},REAL:] is Relation-like non empty V33() V34() V35() set
bool [:{0,1,2,3},REAL:] is non empty set
(0,1) --> (z,z2) is Relation-like NAT -defined Function-like set
(2,3) --> (m1,m2) is Relation-like NAT -defined Function-like set
((0,1) --> (z,z2)) +* ((2,3) --> (m1,m2)) is Relation-like NAT -defined Function-like set
[*m3,m4*] is complex Element of COMPLEX
(REAL,0,1,2,3,m3,m4,n1,n2) is Relation-like {0,1,2,3} -defined REAL -valued Function-like non empty V14({0,1,2,3}) quasi_total V33() V34() V35() Element of bool [:{0,1,2,3},REAL:]
(0,1) --> (m3,m4) is Relation-like NAT -defined Function-like set
(2,3) --> (n1,n2) is Relation-like NAT -defined Function-like set
((0,1) --> (m3,m4)) +* ((2,3) --> (n1,n2)) is Relation-like NAT -defined Function-like set
z is () set
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
(m1,m2,m3,m4) is () Element of ()
z2 is () set
n1 is complex real ext-real Element of REAL
n2 is complex real ext-real Element of REAL
n3 is complex real ext-real Element of REAL
n4 is complex real ext-real Element of REAL
(n1,n2,n3,n4) is () Element of ()
m1 + n1 is complex real ext-real Element of REAL
m2 + n2 is complex real ext-real Element of REAL
m3 + n3 is complex real ext-real Element of REAL
m4 + n4 is complex real ext-real Element of REAL
((m1 + n1),(m2 + n2),(m3 + n3),(m4 + n4)) is () Element of ()
b1 is set
b2 is set
b3 is complex real ext-real Element of REAL
b4 is complex real ext-real Element of REAL
a3 is complex real ext-real Element of REAL
a4 is complex real ext-real Element of REAL
(b3,b4,a3,a4) is () Element of ()
a5 is complex real ext-real Element of REAL
a6 is complex real ext-real Element of REAL
a7 is complex real ext-real Element of REAL
a8 is complex real ext-real Element of REAL
(a5,a6,a7,a8) is () Element of ()
b3 + a5 is complex real ext-real Element of REAL
b4 + a6 is complex real ext-real Element of REAL
a3 + a7 is complex real ext-real Element of REAL
a4 + a8 is complex real ext-real Element of REAL
((b3 + a5),(b4 + a6),(a3 + a7),(a4 + a8)) is () Element of ()
a9 is complex real ext-real Element of REAL
a10 is complex real ext-real Element of REAL
a11 is complex real ext-real Element of REAL
a12 is complex real ext-real Element of REAL
(a9,a10,a11,a12) is () Element of ()
b1 is complex real ext-real Element of REAL
b2 is complex real ext-real Element of REAL
b3 is complex real ext-real Element of REAL
b4 is complex real ext-real Element of REAL
(b1,b2,b3,b4) is () Element of ()
a9 + b1 is complex real ext-real Element of REAL
a10 + b2 is complex real ext-real Element of REAL
a11 + b3 is complex real ext-real Element of REAL
a12 + b4 is complex real ext-real Element of REAL
((a9 + b1),(a10 + b2),(a11 + b3),(a12 + b4)) is () Element of ()
b2 is () set
b4 is complex real ext-real Element of REAL
a3 is complex real ext-real Element of REAL
a4 is complex real ext-real Element of REAL
a5 is complex real ext-real Element of REAL
(b4,a3,a4,a5) is () Element of ()
b3 is () set
a6 is complex real ext-real Element of REAL
a7 is complex real ext-real Element of REAL
a8 is complex real ext-real Element of REAL
a9 is complex real ext-real Element of REAL
(a6,a7,a8,a9) is () Element of ()
b1 is set
b4 + a6 is complex real ext-real Element of REAL
a3 + a7 is complex real ext-real Element of REAL
a4 + a8 is complex real ext-real Element of REAL
a5 + a9 is complex real ext-real Element of REAL
((b4 + a6),(a3 + a7),(a4 + a8),(a5 + a9)) is () Element of ()
(0,0,0,0) is () Element of ()
z is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
[*z,z2*] is complex Element of COMPLEX
z is () set
z2 is complex real ext-real Element of REAL
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
(z2,m1,m2,m3) is () Element of ()
- z2 is complex real ext-real Element of REAL
- m1 is complex real ext-real Element of REAL
- m2 is complex real ext-real Element of REAL
- m3 is complex real ext-real Element of REAL
((- z2),(- m1),(- m2),(- m3)) is () Element of ()
m4 is () set
(z,m4) is set
z2 + (- z2) is complex real ext-real Element of REAL
m1 + (- m1) is complex real ext-real Element of REAL
m2 + (- m2) is complex real ext-real Element of REAL
m3 + (- m3) is complex real ext-real Element of REAL
m4 is () set
(z,m4) is set
n1 is () set
(z,n1) is set
n2 is complex real ext-real Element of REAL
n3 is complex real ext-real Element of REAL
n4 is complex real ext-real Element of REAL
b1 is complex real ext-real Element of REAL
(n2,n3,n4,b1) is () Element of ()
b2 is complex real ext-real Element of REAL
b3 is complex real ext-real Element of REAL
b4 is complex real ext-real Element of REAL
a3 is complex real ext-real Element of REAL
(b2,b3,b4,a3) is () Element of ()
n2 + b2 is complex real ext-real Element of REAL
n3 + b3 is complex real ext-real Element of REAL
n4 + b4 is complex real ext-real Element of REAL
b1 + a3 is complex real ext-real Element of REAL
((n2 + b2),(n3 + b3),(n4 + b4),(b1 + a3)) is () Element of ()
a4 is complex real ext-real Element of REAL
a5 is complex real ext-real Element of REAL
a6 is complex real ext-real Element of REAL
a7 is complex real ext-real Element of REAL
(a4,a5,a6,a7) is () Element of ()
a8 is complex real ext-real Element of REAL
a9 is complex real ext-real Element of REAL
a10 is complex real ext-real Element of REAL
a11 is complex real ext-real Element of REAL
(a8,a9,a10,a11) is () Element of ()
a4 + a8 is complex real ext-real Element of REAL
a5 + a9 is complex real ext-real Element of REAL
a6 + a10 is complex real ext-real Element of REAL
a7 + a11 is complex real ext-real Element of REAL
((a4 + a8),(a5 + a9),(a6 + a10),(a7 + a11)) is () Element of ()
n2 + a8 is complex real ext-real Element of REAL
n3 + a9 is complex real ext-real Element of REAL
n4 + a10 is complex real ext-real Element of REAL
b1 + a11 is complex real ext-real Element of REAL
n1 is () set
m4 is () set
(n1,m4) is set
(m4,n1) is set
z is () set
z2 is () set
(z2) is () set
(z,(z2)) is set
z is () set
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
(m1,m2,m3,m4) is () Element of ()
z2 is () set
n1 is complex real ext-real Element of REAL
n2 is complex real ext-real Element of REAL
n3 is complex real ext-real Element of REAL
n4 is complex real ext-real Element of REAL
(n1,n2,n3,n4) is () Element of ()
m1 * n1 is complex real ext-real Element of REAL
m2 * n2 is complex real ext-real Element of REAL
(m1 * n1) - (m2 * n2) is complex real ext-real Element of REAL
- (m2 * n2) is complex real ext-real set
(m1 * n1) + (- (m2 * n2)) is complex real ext-real set
m3 * n3 is complex real ext-real Element of REAL
((m1 * n1) - (m2 * n2)) - (m3 * n3) is complex real ext-real Element of REAL
- (m3 * n3) is complex real ext-real set
((m1 * n1) - (m2 * n2)) + (- (m3 * n3)) is complex real ext-real set
m4 * n4 is complex real ext-real Element of REAL
(((m1 * n1) - (m2 * n2)) - (m3 * n3)) - (m4 * n4) is complex real ext-real Element of REAL
- (m4 * n4) is complex real ext-real set
(((m1 * n1) - (m2 * n2)) - (m3 * n3)) + (- (m4 * n4)) is complex real ext-real set
m1 * n2 is complex real ext-real Element of REAL
m2 * n1 is complex real ext-real Element of REAL
(m1 * n2) + (m2 * n1) is complex real ext-real Element of REAL
m3 * n4 is complex real ext-real Element of REAL
((m1 * n2) + (m2 * n1)) + (m3 * n4) is complex real ext-real Element of REAL
m4 * n3 is complex real ext-real Element of REAL
(((m1 * n2) + (m2 * n1)) + (m3 * n4)) - (m4 * n3) is complex real ext-real Element of REAL
- (m4 * n3) is complex real ext-real set
(((m1 * n2) + (m2 * n1)) + (m3 * n4)) + (- (m4 * n3)) is complex real ext-real set
m1 * n3 is complex real ext-real Element of REAL
n1 * m3 is complex real ext-real Element of REAL
(m1 * n3) + (n1 * m3) is complex real ext-real Element of REAL
n2 * m4 is complex real ext-real Element of REAL
((m1 * n3) + (n1 * m3)) + (n2 * m4) is complex real ext-real Element of REAL
n4 * m2 is complex real ext-real Element of REAL
(((m1 * n3) + (n1 * m3)) + (n2 * m4)) - (n4 * m2) is complex real ext-real Element of REAL
- (n4 * m2) is complex real ext-real set
(((m1 * n3) + (n1 * m3)) + (n2 * m4)) + (- (n4 * m2)) is complex real ext-real set
m1 * n4 is complex real ext-real Element of REAL
m4 * n1 is complex real ext-real Element of REAL
(m1 * n4) + (m4 * n1) is complex real ext-real Element of REAL
m2 * n3 is complex real ext-real Element of REAL
((m1 * n4) + (m4 * n1)) + (m2 * n3) is complex real ext-real Element of REAL
m3 * n2 is complex real ext-real Element of REAL
(((m1 * n4) + (m4 * n1)) + (m2 * n3)) - (m3 * n2) is complex real ext-real Element of REAL
- (m3 * n2) is complex real ext-real set
(((m1 * n4) + (m4 * n1)) + (m2 * n3)) + (- (m3 * n2)) is complex real ext-real set
(((((m1 * n1) - (m2 * n2)) - (m3 * n3)) - (m4 * n4)),((((m1 * n2) + (m2 * n1)) + (m3 * n4)) - (m4 * n3)),((((m1 * n3) + (n1 * m3)) + (n2 * m4)) - (n4 * m2)),((((m1 * n4) + (m4 * n1)) + (m2 * n3)) - (m3 * n2))) is () Element of ()
b1 is set
b2 is set
b3 is complex real ext-real Element of REAL
b4 is complex real ext-real Element of REAL
a3 is complex real ext-real Element of REAL
a4 is complex real ext-real Element of REAL
(b3,b4,a3,a4) is () Element of ()
a5 is complex real ext-real Element of REAL
a6 is complex real ext-real Element of REAL
a7 is complex real ext-real Element of REAL
a8 is complex real ext-real Element of REAL
(a5,a6,a7,a8) is () Element of ()
b3 * a5 is complex real ext-real Element of REAL
b4 * a6 is complex real ext-real Element of REAL
(b3 * a5) - (b4 * a6) is complex real ext-real Element of REAL
- (b4 * a6) is complex real ext-real set
(b3 * a5) + (- (b4 * a6)) is complex real ext-real set
a3 * a7 is complex real ext-real Element of REAL
((b3 * a5) - (b4 * a6)) - (a3 * a7) is complex real ext-real Element of REAL
- (a3 * a7) is complex real ext-real set
((b3 * a5) - (b4 * a6)) + (- (a3 * a7)) is complex real ext-real set
a4 * a8 is complex real ext-real Element of REAL
(((b3 * a5) - (b4 * a6)) - (a3 * a7)) - (a4 * a8) is complex real ext-real Element of REAL
- (a4 * a8) is complex real ext-real set
(((b3 * a5) - (b4 * a6)) - (a3 * a7)) + (- (a4 * a8)) is complex real ext-real set
b3 * a6 is complex real ext-real Element of REAL
b4 * a5 is complex real ext-real Element of REAL
(b3 * a6) + (b4 * a5) is complex real ext-real Element of REAL
a3 * a8 is complex real ext-real Element of REAL
((b3 * a6) + (b4 * a5)) + (a3 * a8) is complex real ext-real Element of REAL
a4 * a7 is complex real ext-real Element of REAL
(((b3 * a6) + (b4 * a5)) + (a3 * a8)) - (a4 * a7) is complex real ext-real Element of REAL
- (a4 * a7) is complex real ext-real set
(((b3 * a6) + (b4 * a5)) + (a3 * a8)) + (- (a4 * a7)) is complex real ext-real set
b3 * a7 is complex real ext-real Element of REAL
a5 * a3 is complex real ext-real Element of REAL
(b3 * a7) + (a5 * a3) is complex real ext-real Element of REAL
a6 * a4 is complex real ext-real Element of REAL
((b3 * a7) + (a5 * a3)) + (a6 * a4) is complex real ext-real Element of REAL
a8 * b4 is complex real ext-real Element of REAL
(((b3 * a7) + (a5 * a3)) + (a6 * a4)) - (a8 * b4) is complex real ext-real Element of REAL
- (a8 * b4) is complex real ext-real set
(((b3 * a7) + (a5 * a3)) + (a6 * a4)) + (- (a8 * b4)) is complex real ext-real set
b3 * a8 is complex real ext-real Element of REAL
a4 * a5 is complex real ext-real Element of REAL
(b3 * a8) + (a4 * a5) is complex real ext-real Element of REAL
b4 * a7 is complex real ext-real Element of REAL
((b3 * a8) + (a4 * a5)) + (b4 * a7) is complex real ext-real Element of REAL
a3 * a6 is complex real ext-real Element of REAL
(((b3 * a8) + (a4 * a5)) + (b4 * a7)) - (a3 * a6) is complex real ext-real Element of REAL
- (a3 * a6) is complex real ext-real set
(((b3 * a8) + (a4 * a5)) + (b4 * a7)) + (- (a3 * a6)) is complex real ext-real set
(((((b3 * a5) - (b4 * a6)) - (a3 * a7)) - (a4 * a8)),((((b3 * a6) + (b4 * a5)) + (a3 * a8)) - (a4 * a7)),((((b3 * a7) + (a5 * a3)) + (a6 * a4)) - (a8 * b4)),((((b3 * a8) + (a4 * a5)) + (b4 * a7)) - (a3 * a6))) is () Element of ()
a9 is complex real ext-real Element of REAL
a10 is complex real ext-real Element of REAL
a11 is complex real ext-real Element of REAL
a12 is complex real ext-real Element of REAL
(a9,a10,a11,a12) is () Element of ()
b1 is complex real ext-real Element of REAL
b2 is complex real ext-real Element of REAL
b3 is complex real ext-real Element of REAL
b4 is complex real ext-real Element of REAL
(b1,b2,b3,b4) is () Element of ()
a9 * b1 is complex real ext-real Element of REAL
a10 * b2 is complex real ext-real Element of REAL
(a9 * b1) - (a10 * b2) is complex real ext-real Element of REAL
- (a10 * b2) is complex real ext-real set
(a9 * b1) + (- (a10 * b2)) is complex real ext-real set
a11 * b3 is complex real ext-real Element of REAL
((a9 * b1) - (a10 * b2)) - (a11 * b3) is complex real ext-real Element of REAL
- (a11 * b3) is complex real ext-real set
((a9 * b1) - (a10 * b2)) + (- (a11 * b3)) is complex real ext-real set
a12 * b4 is complex real ext-real Element of REAL
(((a9 * b1) - (a10 * b2)) - (a11 * b3)) - (a12 * b4) is complex real ext-real Element of REAL
- (a12 * b4) is complex real ext-real set
(((a9 * b1) - (a10 * b2)) - (a11 * b3)) + (- (a12 * b4)) is complex real ext-real set
a9 * b2 is complex real ext-real Element of REAL
a10 * b1 is complex real ext-real Element of REAL
(a9 * b2) + (a10 * b1) is complex real ext-real Element of REAL
a11 * b4 is complex real ext-real Element of REAL
((a9 * b2) + (a10 * b1)) + (a11 * b4) is complex real ext-real Element of REAL
a12 * b3 is complex real ext-real Element of REAL
(((a9 * b2) + (a10 * b1)) + (a11 * b4)) - (a12 * b3) is complex real ext-real Element of REAL
- (a12 * b3) is complex real ext-real set
(((a9 * b2) + (a10 * b1)) + (a11 * b4)) + (- (a12 * b3)) is complex real ext-real set
a9 * b3 is complex real ext-real Element of REAL
b1 * a11 is complex real ext-real Element of REAL
(a9 * b3) + (b1 * a11) is complex real ext-real Element of REAL
b2 * a12 is complex real ext-real Element of REAL
((a9 * b3) + (b1 * a11)) + (b2 * a12) is complex real ext-real Element of REAL
b4 * a10 is complex real ext-real Element of REAL
(((a9 * b3) + (b1 * a11)) + (b2 * a12)) - (b4 * a10) is complex real ext-real Element of REAL
- (b4 * a10) is complex real ext-real set
(((a9 * b3) + (b1 * a11)) + (b2 * a12)) + (- (b4 * a10)) is complex real ext-real set
a9 * b4 is complex real ext-real Element of REAL
a12 * b1 is complex real ext-real Element of REAL
(a9 * b4) + (a12 * b1) is complex real ext-real Element of REAL
a10 * b3 is complex real ext-real Element of REAL
((a9 * b4) + (a12 * b1)) + (a10 * b3) is complex real ext-real Element of REAL
a11 * b2 is complex real ext-real Element of REAL
(((a9 * b4) + (a12 * b1)) + (a10 * b3)) - (a11 * b2) is complex real ext-real Element of REAL
- (a11 * b2) is complex real ext-real set
(((a9 * b4) + (a12 * b1)) + (a10 * b3)) + (- (a11 * b2)) is complex real ext-real set
(((((a9 * b1) - (a10 * b2)) - (a11 * b3)) - (a12 * b4)),((((a9 * b2) + (a10 * b1)) + (a11 * b4)) - (a12 * b3)),((((a9 * b3) + (b1 * a11)) + (b2 * a12)) - (b4 * a10)),((((a9 * b4) + (a12 * b1)) + (a10 * b3)) - (a11 * b2))) is () Element of ()
z is () set
z2 is () set
(z,z2) is set
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
(m1,m2,m3,m4) is () Element of ()
n1 is complex real ext-real Element of REAL
n2 is complex real ext-real Element of REAL
n3 is complex real ext-real Element of REAL
n4 is complex real ext-real Element of REAL
(n1,n2,n3,n4) is () Element of ()
m1 + n1 is complex real ext-real Element of REAL
m2 + n2 is complex real ext-real Element of REAL
m3 + n3 is complex real ext-real Element of REAL
m4 + n4 is complex real ext-real Element of REAL
((m1 + n1),(m2 + n2),(m3 + n3),(m4 + n4)) is () Element of ()
(z,z2) is set
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
(m1,m2,m3,m4) is () Element of ()
n1 is complex real ext-real Element of REAL
n2 is complex real ext-real Element of REAL
n3 is complex real ext-real Element of REAL
n4 is complex real ext-real Element of REAL
(n1,n2,n3,n4) is () Element of ()
m1 * n1 is complex real ext-real Element of REAL
m2 * n2 is complex real ext-real Element of REAL
(m1 * n1) - (m2 * n2) is complex real ext-real Element of REAL
- (m2 * n2) is complex real ext-real set
(m1 * n1) + (- (m2 * n2)) is complex real ext-real set
m3 * n3 is complex real ext-real Element of REAL
((m1 * n1) - (m2 * n2)) - (m3 * n3) is complex real ext-real Element of REAL
- (m3 * n3) is complex real ext-real set
((m1 * n1) - (m2 * n2)) + (- (m3 * n3)) is complex real ext-real set
m4 * n4 is complex real ext-real Element of REAL
(((m1 * n1) - (m2 * n2)) - (m3 * n3)) - (m4 * n4) is complex real ext-real Element of REAL
- (m4 * n4) is complex real ext-real set
(((m1 * n1) - (m2 * n2)) - (m3 * n3)) + (- (m4 * n4)) is complex real ext-real set
m1 * n2 is complex real ext-real Element of REAL
m2 * n1 is complex real ext-real Element of REAL
(m1 * n2) + (m2 * n1) is complex real ext-real Element of REAL
m3 * n4 is complex real ext-real Element of REAL
((m1 * n2) + (m2 * n1)) + (m3 * n4) is complex real ext-real Element of REAL
m4 * n3 is complex real ext-real Element of REAL
(((m1 * n2) + (m2 * n1)) + (m3 * n4)) - (m4 * n3) is complex real ext-real Element of REAL
- (m4 * n3) is complex real ext-real set
(((m1 * n2) + (m2 * n1)) + (m3 * n4)) + (- (m4 * n3)) is complex real ext-real set
m1 * n3 is complex real ext-real Element of REAL
n1 * m3 is complex real ext-real Element of REAL
(m1 * n3) + (n1 * m3) is complex real ext-real Element of REAL
n2 * m4 is complex real ext-real Element of REAL
((m1 * n3) + (n1 * m3)) + (n2 * m4) is complex real ext-real Element of REAL
n4 * m2 is complex real ext-real Element of REAL
(((m1 * n3) + (n1 * m3)) + (n2 * m4)) - (n4 * m2) is complex real ext-real Element of REAL
- (n4 * m2) is complex real ext-real set
(((m1 * n3) + (n1 * m3)) + (n2 * m4)) + (- (n4 * m2)) is complex real ext-real set
m1 * n4 is complex real ext-real Element of REAL
m4 * n1 is complex real ext-real Element of REAL
(m1 * n4) + (m4 * n1) is complex real ext-real Element of REAL
m2 * n3 is complex real ext-real Element of REAL
((m1 * n4) + (m4 * n1)) + (m2 * n3) is complex real ext-real Element of REAL
m3 * n2 is complex real ext-real Element of REAL
(((m1 * n4) + (m4 * n1)) + (m2 * n3)) - (m3 * n2) is complex real ext-real Element of REAL
- (m3 * n2) is complex real ext-real set
(((m1 * n4) + (m4 * n1)) + (m2 * n3)) + (- (m3 * n2)) is complex real ext-real set
(((((m1 * n1) - (m2 * n2)) - (m3 * n3)) - (m4 * n4)),((((m1 * n2) + (m2 * n1)) + (m3 * n4)) - (m4 * n3)),((((m1 * n3) + (n1 * m3)) + (n2 * m4)) - (n4 * m2)),((((m1 * n4) + (m4 * n1)) + (m2 * n3)) - (m3 * n2))) is () Element of ()
(0,0,1,0) is () Element of ()
z is () Element of ()
z2 is () Element of ()
(0,0,0,1) is () Element of ()
z is () Element of ()
z2 is () Element of ()
() is () Element of ()
() is () Element of ()
(<i>,<i>) is () set
- 1 is complex real ext-real non positive Element of REAL
(0,1,0,0) is () Element of ()
0 * 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
1 * 1 is complex real ext-real non negative Element of REAL
(0 * 0) - (1 * 1) is complex real ext-real non positive Element of REAL
- (1 * 1) is complex real ext-real non positive set
(0 * 0) + (- (1 * 1)) is complex real ext-real non positive set
((0 * 0) - (1 * 1)) - (0 * 0) is complex real ext-real non positive Element of REAL
- (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
((0 * 0) - (1 * 1)) + (- (0 * 0)) is complex real ext-real non positive set
(((0 * 0) - (1 * 1)) - (0 * 0)) - (0 * 0) is complex real ext-real non positive Element of REAL
(((0 * 0) - (1 * 1)) - (0 * 0)) + (- (0 * 0)) is complex real ext-real non positive set
0 * 1 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
1 * 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(0 * 1) + (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 1) + (1 * 0)) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (1 * 0)) + (0 * 0)) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (1 * 0)) + (0 * 0)) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 0) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 0) + (0 * 0)) + (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (0 * 0)) + (1 * 0)) - (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((0 * 0) + (0 * 0)) + (1 * 0)) + (- (0 * 1)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((((0 * 0) - (1 * 1)) - (0 * 0)) - (0 * 0)),((((0 * 1) + (1 * 0)) + (0 * 0)) - (0 * 0)),((((0 * 0) + (0 * 0)) + (1 * 0)) - (0 * 1)),((((0 * 0) + (0 * 0)) + (1 * 0)) - (0 * 1))) is () Element of ()
((- 1),0,0,0) is () Element of ()
[*(- 1),0*] is complex Element of COMPLEX
((),()) is () set
0 * 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(0 * 0) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 0) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
1 * 1 is complex real ext-real non negative Element of REAL
((0 * 0) - (0 * 0)) - (1 * 1) is complex real ext-real non positive Element of REAL
- (1 * 1) is complex real ext-real non positive set
((0 * 0) - (0 * 0)) + (- (1 * 1)) is complex real ext-real non positive set
(((0 * 0) - (0 * 0)) - (1 * 1)) - (0 * 0) is complex real ext-real non positive Element of REAL
(((0 * 0) - (0 * 0)) - (1 * 1)) + (- (0 * 0)) is complex real ext-real non positive set
(0 * 0) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 0) + (0 * 0)) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
0 * 1 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (0 * 0)) + (0 * 0)) - (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((0 * 0) + (0 * 0)) + (0 * 0)) + (- (0 * 1)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 1) + (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 1) + (0 * 1)) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 1)) + (0 * 0)) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 1)) + (0 * 0)) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
((0 * 0) + (0 * 0)) + (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
1 * 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (0 * 0)) + (0 * 1)) - (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((0 * 0) + (0 * 0)) + (0 * 1)) + (- (1 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((((0 * 0) - (0 * 0)) - (1 * 1)) - (0 * 0)),((((0 * 0) + (0 * 0)) + (0 * 0)) - (0 * 1)),((((0 * 1) + (0 * 1)) + (0 * 0)) - (0 * 0)),((((0 * 0) + (0 * 0)) + (0 * 1)) - (1 * 0))) is () Element of ()
((- 1),0,0,0) is () Element of ()
[*(- 1),0*] is complex Element of COMPLEX
((),()) is () set
0 * 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(0 * 0) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 0) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
((0 * 0) - (0 * 0)) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 0) - (0 * 0)) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
1 * 1 is complex real ext-real non negative Element of REAL
(((0 * 0) - (0 * 0)) - (0 * 0)) - (1 * 1) is complex real ext-real non positive Element of REAL
- (1 * 1) is complex real ext-real non positive set
(((0 * 0) - (0 * 0)) - (0 * 0)) + (- (1 * 1)) is complex real ext-real non positive set
(0 * 0) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
0 * 1 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 0) + (0 * 0)) + (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
1 * 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (0 * 0)) + (0 * 1)) - (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((0 * 0) + (0 * 0)) + (0 * 1)) + (- (1 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 1) + (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 1) + (1 * 0)) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (1 * 0)) + (0 * 0)) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (1 * 0)) + (0 * 0)) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((((0 * 0) - (0 * 0)) - (0 * 0)) - (1 * 1)),((((0 * 0) + (0 * 0)) + (0 * 1)) - (1 * 0)),((((0 * 0) + (0 * 0)) + (0 * 1)) - (1 * 0)),((((0 * 1) + (1 * 0)) + (0 * 0)) - (0 * 0))) is () Element of ()
((- 1),0,0,0) is () Element of ()
[*(- 1),0*] is complex Element of COMPLEX
(<i>,()) is () set
(0,1,0,0) is () Element of ()
0 * 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
1 * 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(0 * 0) - (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 0) + (- (1 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
0 * 1 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 0) - (1 * 0)) - (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
((0 * 0) - (1 * 0)) + (- (0 * 1)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((0 * 0) - (1 * 0)) - (0 * 1)) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((0 * 0) - (1 * 0)) - (0 * 1)) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 0) + (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 0) + (1 * 0)) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (1 * 0)) + (0 * 0)) - (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (1 * 0)) + (0 * 0)) + (- (0 * 1)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 1) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 1) + (0 * 0)) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 0)) + (0 * 0)) - (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 0)) + (0 * 0)) + (- (0 * 1)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 0) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
1 * 1 is complex real ext-real non negative Element of REAL
((0 * 0) + (0 * 0)) + (1 * 1) is complex real ext-real non negative Element of REAL
(((0 * 0) + (0 * 0)) + (1 * 1)) - (0 * 0) is complex real ext-real non negative Element of REAL
(((0 * 0) + (0 * 0)) + (1 * 1)) + (- (0 * 0)) is complex real ext-real non negative set
(((((0 * 0) - (1 * 0)) - (0 * 1)) - (0 * 0)),((((0 * 0) + (1 * 0)) + (0 * 0)) - (0 * 1)),((((0 * 1) + (0 * 0)) + (0 * 0)) - (0 * 1)),((((0 * 0) + (0 * 0)) + (1 * 1)) - (0 * 0))) is () Element of ()
((),()) is () set
0 * 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(0 * 0) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 0) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
1 * 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 0) - (0 * 0)) - (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
((0 * 0) - (0 * 0)) + (- (1 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
0 * 1 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) - (0 * 0)) - (1 * 0)) - (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((0 * 0) - (0 * 0)) - (1 * 0)) + (- (0 * 1)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 0) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
1 * 1 is complex real ext-real non negative Element of REAL
((0 * 0) + (0 * 0)) + (1 * 1) is complex real ext-real non negative Element of REAL
(((0 * 0) + (0 * 0)) + (1 * 1)) - (0 * 0) is complex real ext-real non negative Element of REAL
(((0 * 0) + (0 * 0)) + (1 * 1)) + (- (0 * 0)) is complex real ext-real non negative set
(0 * 0) + (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 0) + (0 * 1)) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (0 * 1)) + (0 * 0)) - (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (0 * 1)) + (0 * 0)) + (- (1 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 1) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 1) + (0 * 0)) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 0)) + (0 * 0)) - (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 0)) + (0 * 0)) + (- (1 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((((0 * 0) - (0 * 0)) - (1 * 0)) - (0 * 1)),((((0 * 0) + (0 * 0)) + (1 * 1)) - (0 * 0)),((((0 * 0) + (0 * 1)) + (0 * 0)) - (1 * 0)),((((0 * 1) + (0 * 0)) + (0 * 0)) - (1 * 0))) is () Element of ()
(0,1,0,0) is () Element of ()
((),<i>) is () set
(0,1,0,0) is () Element of ()
0 * 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
0 * 1 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(0 * 0) - (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 0) + (- (0 * 1)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
((0 * 0) - (0 * 1)) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
((0 * 0) - (0 * 1)) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
1 * 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) - (0 * 1)) - (0 * 0)) - (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((0 * 0) - (0 * 1)) - (0 * 0)) + (- (1 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 1) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 1) + (0 * 0)) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 0)) + (0 * 0)) - (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 0)) + (0 * 0)) + (- (1 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 0) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
1 * 1 is complex real ext-real non negative Element of REAL
((0 * 0) + (0 * 0)) + (1 * 1) is complex real ext-real non negative Element of REAL
(((0 * 0) + (0 * 0)) + (1 * 1)) - (0 * 0) is complex real ext-real non negative Element of REAL
(((0 * 0) + (0 * 0)) + (1 * 1)) + (- (0 * 0)) is complex real ext-real non negative set
(0 * 0) + (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 0) + (1 * 0)) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (1 * 0)) + (0 * 0)) - (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (1 * 0)) + (0 * 0)) + (- (0 * 1)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((((0 * 0) - (0 * 1)) - (0 * 0)) - (1 * 0)),((((0 * 1) + (0 * 0)) + (0 * 0)) - (1 * 0)),((((0 * 0) + (0 * 0)) + (1 * 1)) - (0 * 0)),((((0 * 0) + (1 * 0)) + (0 * 0)) - (0 * 1))) is () Element of ()
((),<i>) is () set
(((),<i>)) is () set
(0,1,0,0) is () Element of ()
0 * 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
1 * 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(0 * 0) - (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 0) + (- (1 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
0 * 1 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 0) - (1 * 0)) - (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
((0 * 0) - (1 * 0)) + (- (0 * 1)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((0 * 0) - (1 * 0)) - (0 * 1)) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((0 * 0) - (1 * 0)) - (0 * 1)) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 0) + (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 0) + (1 * 0)) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (1 * 0)) + (0 * 0)) - (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (1 * 0)) + (0 * 0)) + (- (0 * 1)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 1) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 1) + (0 * 0)) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 0)) + (0 * 0)) - (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 0)) + (0 * 0)) + (- (0 * 1)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 0) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
1 * 1 is complex real ext-real non negative Element of REAL
((0 * 0) + (0 * 0)) + (1 * 1) is complex real ext-real non negative Element of REAL
(((0 * 0) + (0 * 0)) + (1 * 1)) - (0 * 0) is complex real ext-real non negative Element of REAL
(((0 * 0) + (0 * 0)) + (1 * 1)) + (- (0 * 0)) is complex real ext-real non negative set
(((((0 * 0) - (1 * 0)) - (0 * 1)) - (0 * 0)),((((0 * 0) + (1 * 0)) + (0 * 0)) - (0 * 1)),((((0 * 1) + (0 * 0)) + (0 * 0)) - (0 * 1)),((((0 * 0) + (0 * 0)) + (1 * 1)) - (0 * 0))) is () Element of ()
(0 * 0) - (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(0 * 0) + (- (0 * 1)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
((0 * 0) - (0 * 1)) - (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 0) - (0 * 1)) + (- (1 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((0 * 0) - (0 * 1)) - (1 * 0)) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) - (0 * 1)) - (1 * 0)) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
((0 * 1) + (0 * 0)) + (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 0)) + (1 * 0)) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 0)) + (1 * 0)) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 0) + (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 0) + (0 * 1)) + (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (0 * 1)) + (1 * 0)) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (0 * 1)) + (1 * 0)) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
((0 * 0) + (0 * 0)) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (0 * 0)) + (0 * 0)) - (1 * 1) is complex real ext-real non positive Element of REAL
- (1 * 1) is complex real ext-real non positive set
(((0 * 0) + (0 * 0)) + (0 * 0)) + (- (1 * 1)) is complex real ext-real non positive set
(((((0 * 0) - (0 * 1)) - (1 * 0)) - (0 * 0)),((((0 * 1) + (0 * 0)) + (1 * 0)) - (0 * 0)),((((0 * 0) + (0 * 1)) + (1 * 0)) - (0 * 0)),((((0 * 0) + (0 * 0)) + (0 * 0)) - (1 * 1))) is () Element of ()
(0,0,0,(- 1)) is () Element of ()
((<i>,()),((),<i>)) is () set
0 + 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
1 + (- 1) is complex real ext-real Element of REAL
((0 + 0),(0 + 0),(0 + 0),(1 + (- 1))) is () Element of ()
((),()) is () set
(((),())) is () set
0 * 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(0 * 0) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 0) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
1 * 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 0) - (0 * 0)) - (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
((0 * 0) - (0 * 0)) + (- (1 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
0 * 1 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) - (0 * 0)) - (1 * 0)) - (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((0 * 0) - (0 * 0)) - (1 * 0)) + (- (0 * 1)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 0) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
1 * 1 is complex real ext-real non negative Element of REAL
((0 * 0) + (0 * 0)) + (1 * 1) is complex real ext-real non negative Element of REAL
(((0 * 0) + (0 * 0)) + (1 * 1)) - (0 * 0) is complex real ext-real non negative Element of REAL
(((0 * 0) + (0 * 0)) + (1 * 1)) + (- (0 * 0)) is complex real ext-real non negative set
(0 * 0) + (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 0) + (0 * 1)) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (0 * 1)) + (0 * 0)) - (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (0 * 1)) + (0 * 0)) + (- (1 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 1) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 1) + (0 * 0)) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 0)) + (0 * 0)) - (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 0)) + (0 * 0)) + (- (1 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((((0 * 0) - (0 * 0)) - (1 * 0)) - (0 * 1)),((((0 * 0) + (0 * 0)) + (1 * 1)) - (0 * 0)),((((0 * 0) + (0 * 1)) + (0 * 0)) - (1 * 0)),((((0 * 1) + (0 * 0)) + (0 * 0)) - (1 * 0))) is () Element of ()
(0,1,0,0) is () Element of ()
((0 * 0) - (0 * 0)) - (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 0) - (0 * 0)) + (- (0 * 1)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((0 * 0) - (0 * 0)) - (0 * 1)) - (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) - (0 * 0)) - (0 * 1)) + (- (1 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
((0 * 0) + (0 * 0)) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (0 * 0)) + (0 * 0)) - (1 * 1) is complex real ext-real non positive Element of REAL
- (1 * 1) is complex real ext-real non positive set
(((0 * 0) + (0 * 0)) + (0 * 0)) + (- (1 * 1)) is complex real ext-real non positive set
((0 * 1) + (0 * 0)) + (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 0)) + (0 * 1)) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 0)) + (0 * 1)) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 0) + (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 0) + (1 * 0)) + (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (1 * 0)) + (0 * 1)) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (1 * 0)) + (0 * 1)) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((((0 * 0) - (0 * 0)) - (0 * 1)) - (1 * 0)),((((0 * 0) + (0 * 0)) + (0 * 0)) - (1 * 1)),((((0 * 1) + (0 * 0)) + (0 * 1)) - (0 * 0)),((((0 * 0) + (1 * 0)) + (0 * 1)) - (0 * 0))) is () Element of ()
(0,(- 1),0,0) is () Element of ()
(((),()),((),())) is () set
0 + 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
1 + (- 1) is complex real ext-real Element of REAL
((0 + 0),(0 + 0),(0 + 0),(1 + (- 1))) is () Element of ()
(<i>,()) is () set
((<i>,())) is () set
(0,1,0,0) is () Element of ()
0 * 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
0 * 1 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(0 * 0) - (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 0) + (- (0 * 1)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
((0 * 0) - (0 * 1)) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
((0 * 0) - (0 * 1)) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
1 * 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) - (0 * 1)) - (0 * 0)) - (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
- (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((0 * 0) - (0 * 1)) - (0 * 0)) + (- (1 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 1) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 1) + (0 * 0)) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 0)) + (0 * 0)) - (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 0)) + (0 * 0)) + (- (1 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(0 * 0) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
1 * 1 is complex real ext-real non negative Element of REAL
((0 * 0) + (0 * 0)) + (1 * 1) is complex real ext-real non negative Element of REAL
(((0 * 0) + (0 * 0)) + (1 * 1)) - (0 * 0) is complex real ext-real non negative Element of REAL
(((0 * 0) + (0 * 0)) + (1 * 1)) + (- (0 * 0)) is complex real ext-real non negative set
(0 * 0) + (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 0) + (1 * 0)) + (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (1 * 0)) + (0 * 0)) - (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (1 * 0)) + (0 * 0)) + (- (0 * 1)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((((0 * 0) - (0 * 1)) - (0 * 0)) - (1 * 0)),((((0 * 1) + (0 * 0)) + (0 * 0)) - (1 * 0)),((((0 * 0) + (0 * 0)) + (1 * 1)) - (0 * 0)),((((0 * 0) + (1 * 0)) + (0 * 0)) - (0 * 1))) is () Element of ()
(0 * 0) - (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(0 * 0) + (- (1 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
((0 * 0) - (1 * 0)) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((0 * 0) - (1 * 0)) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((0 * 0) - (1 * 0)) - (0 * 0)) - (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) - (1 * 0)) - (0 * 0)) + (- (0 * 1)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
((0 * 0) + (1 * 0)) + (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (1 * 0)) + (0 * 1)) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (1 * 0)) + (0 * 1)) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
((0 * 0) + (0 * 0)) + (0 * 1) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 0) + (0 * 0)) + (0 * 1)) - (1 * 1) is complex real ext-real non positive Element of REAL
- (1 * 1) is complex real ext-real non positive set
(((0 * 0) + (0 * 0)) + (0 * 1)) + (- (1 * 1)) is complex real ext-real non positive set
((0 * 1) + (0 * 0)) + (1 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 0)) + (1 * 0)) - (0 * 0) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((0 * 1) + (0 * 0)) + (1 * 0)) + (- (0 * 0)) is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() set
(((((0 * 0) - (1 * 0)) - (0 * 0)) - (0 * 1)),((((0 * 0) + (1 * 0)) + (0 * 1)) - (0 * 0)),((((0 * 0) + (0 * 0)) + (0 * 1)) - (1 * 1)),((((0 * 1) + (0 * 0)) + (1 * 0)) - (0 * 0))) is () Element of ()
(0,0,(- 1),0) is () Element of ()
(((),<i>),(<i>,())) is () set
0 + 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
1 + (- 1) is complex real ext-real Element of REAL
((0 + 0),(0 + 0),(1 + (- 1)),(0 + 0)) is () Element of ()
z is () set
[:4,REAL:] is Relation-like non empty V33() V34() V35() set
bool [:4,REAL:] is non empty set
z2 is complex real ext-real Element of REAL
m1 is complex real ext-real Element of REAL
[*z2,m1*] is complex Element of COMPLEX
Re [*z2,m1*] is complex real ext-real Element of REAL
z2 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
z2 . 0 is complex real ext-real Element of REAL
m2 is complex set
z2 is set
Re m2 is complex real ext-real Element of REAL
m3 is complex set
m1 is set
Re m3 is complex real ext-real Element of REAL
n2 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
m4 is set
n2 . 0 is complex real ext-real Element of REAL
n3 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
n1 is set
n3 . 0 is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
m1 is complex real ext-real Element of REAL
[*z2,m1*] is complex Element of COMPLEX
Im [*z2,m1*] is complex real ext-real Element of REAL
z2 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
z2 . 1 is complex real ext-real Element of REAL
m2 is complex set
z2 is set
Im m2 is complex real ext-real Element of REAL
m3 is complex set
m1 is set
Im m3 is complex real ext-real Element of REAL
n2 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
m4 is set
n2 . 1 is complex real ext-real Element of REAL
n3 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
n1 is set
n3 . 1 is complex real ext-real Element of REAL
z2 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
z2 . 2 is complex real ext-real Element of REAL
z2 is set
m1 is set
m4 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
m2 is set
m4 . 2 is complex real ext-real Element of REAL
n1 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
m3 is set
n1 . 2 is complex real ext-real Element of REAL
z2 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
z2 . 3 is complex real ext-real Element of REAL
z2 is set
m1 is set
m4 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
m2 is set
m4 . 3 is complex real ext-real Element of REAL
n1 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
m3 is set
n1 . 3 is complex real ext-real Element of REAL
z is () set
(z) is set
z2 is complex set
Re z2 is complex real ext-real Element of REAL
z2 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
z2 . 0 is complex real ext-real Element of REAL
(z) is set
z2 is complex set
Im z2 is complex real ext-real Element of REAL
z2 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
z2 . 1 is complex real ext-real Element of REAL
(z) is set
z2 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
z2 . 2 is complex real ext-real Element of REAL
(z) is set
z2 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
z2 . 3 is complex real ext-real Element of REAL
z is () set
(z) is complex real ext-real set
(z) is complex real ext-real set
(z) is complex real ext-real set
(z) is complex real ext-real set
z is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
z . 0 is complex real ext-real Element of REAL
z . 1 is complex real ext-real Element of REAL
z . 2 is complex real ext-real Element of REAL
z . 3 is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
(REAL,0,1,2,3,z2,m1,m2,m3) is Relation-like {0,1,2,3} -defined REAL -valued Function-like non empty V14({0,1,2,3}) quasi_total V33() V34() V35() Element of bool [:{0,1,2,3},REAL:]
[:{0,1,2,3},REAL:] is Relation-like non empty V33() V34() V35() set
bool [:{0,1,2,3},REAL:] is non empty set
(0,1) --> (z2,m1) is Relation-like NAT -defined Function-like set
(2,3) --> (m2,m3) is Relation-like NAT -defined Function-like set
((0,1) --> (z2,m1)) +* ((2,3) --> (m2,m3)) is Relation-like NAT -defined Function-like set
dom z is non empty V45() V46() V47() V48() V49() V50() Element of bool 4
bool 4 is non empty set
z is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
[*z,z2*] is complex Element of COMPLEX
Re [*z,z2*] is complex real ext-real Element of REAL
Im [*z,z2*] is complex real ext-real Element of REAL
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
(0,1) --> (m1,m2) is Relation-like NAT -defined {0,1} -defined REAL -valued Function-like non empty V14({0,1}) quasi_total V33() V34() V35() Element of bool [:{0,1},REAL:]
m3 is Relation-like 2 -defined REAL -valued Function-like non empty V14(2) quasi_total V33() V34() V35() Element of bool [:2,REAL:]
m3 . 0 is complex real ext-real Element of REAL
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
(0,1) --> (m1,m2) is Relation-like NAT -defined {0,1} -defined REAL -valued Function-like non empty V14({0,1}) quasi_total V33() V34() V35() Element of bool [:{0,1},REAL:]
m3 is Relation-like 2 -defined REAL -valued Function-like non empty V14(2) quasi_total V33() V34() V35() Element of bool [:2,REAL:]
m3 . 1 is complex real ext-real Element of REAL
z is complex set
Re z is complex real ext-real Element of REAL
Im z is complex real ext-real Element of REAL
[*(Re z),(Im z)*] is complex Element of COMPLEX
z2 is Relation-like 2 -defined REAL -valued Function-like non empty V14(2) quasi_total V33() V34() V35() Element of bool [:2,REAL:]
z2 . 1 is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
m1 is complex real ext-real Element of REAL
(0,1) --> (z2,m1) is Relation-like NAT -defined {0,1} -defined REAL -valued Function-like non empty V14({0,1}) quasi_total V33() V34() V35() Element of bool [:{0,1},REAL:]
m2 is Relation-like 2 -defined REAL -valued Function-like non empty V14(2) quasi_total V33() V34() V35() Element of bool [:2,REAL:]
m2 . 0 is complex real ext-real Element of REAL
m2 is Relation-like 2 -defined REAL -valued Function-like non empty V14(2) quasi_total V33() V34() V35() Element of bool [:2,REAL:]
m2 . 1 is complex real ext-real Element of REAL
Funcs (2,REAL) is functional non empty FUNCTION_DOMAIN of 2, REAL
{ b₁ where b₁ is Relation-like 2 -defined REAL -valued Function-like V14(2) quasi_total V33() V34() V35() Element of Funcs (2,REAL) : b₁ . 1 = 0 } is set
(Funcs (2,REAL)) \ { b₁ where b₁ is Relation-like 2 -defined REAL -valued Function-like V14(2) quasi_total V33() V34() V35() Element of Funcs (2,REAL) : b₁ . 1 = 0 } is Element of bool (Funcs (2,REAL))
bool (Funcs (2,REAL)) is non empty set
m2 is Relation-like 2 -defined REAL -valued Function-like V14(2) quasi_total V33() V34() V35() Element of Funcs (2,REAL)
m2 . 1 is complex real ext-real Element of REAL
z is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
(z,z2,m1,m2) is () Element of ()
((z,z2,m1,m2)) is complex real ext-real Element of REAL
((z,z2,m1,m2)) is complex real ext-real Element of REAL
((z,z2,m1,m2)) is complex real ext-real Element of REAL
((z,z2,m1,m2)) is complex real ext-real Element of REAL
[*z,z2*] is complex Element of COMPLEX
Re [*z,z2*] is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
n1 is complex real ext-real Element of REAL
n2 is complex real ext-real Element of REAL
(REAL,0,1,2,3,m3,m4,n1,n2) is Relation-like {0,1,2,3} -defined REAL -valued Function-like non empty V14({0,1,2,3}) quasi_total V33() V34() V35() Element of bool [:{0,1,2,3},REAL:]
[:{0,1,2,3},REAL:] is Relation-like non empty V33() V34() V35() set
bool [:{0,1,2,3},REAL:] is non empty set
(0,1) --> (m3,m4) is Relation-like NAT -defined Function-like set
(2,3) --> (n1,n2) is Relation-like NAT -defined Function-like set
((0,1) --> (m3,m4)) +* ((2,3) --> (n1,n2)) is Relation-like NAT -defined Function-like set
n3 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
n3 . 0 is complex real ext-real Element of REAL
[*z,z2*] is complex Element of COMPLEX
Im [*z,z2*] is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
n1 is complex real ext-real Element of REAL
n2 is complex real ext-real Element of REAL
(REAL,0,1,2,3,m3,m4,n1,n2) is Relation-like {0,1,2,3} -defined REAL -valued Function-like non empty V14({0,1,2,3}) quasi_total V33() V34() V35() Element of bool [:{0,1,2,3},REAL:]
[:{0,1,2,3},REAL:] is Relation-like non empty V33() V34() V35() set
bool [:{0,1,2,3},REAL:] is non empty set
(0,1) --> (m3,m4) is Relation-like NAT -defined Function-like set
(2,3) --> (n1,n2) is Relation-like NAT -defined Function-like set
((0,1) --> (m3,m4)) +* ((2,3) --> (n1,n2)) is Relation-like NAT -defined Function-like set
n3 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
n3 . 1 is complex real ext-real Element of REAL
[*z,z2*] is complex Element of COMPLEX
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
n1 is complex real ext-real Element of REAL
n2 is complex real ext-real Element of REAL
(REAL,0,1,2,3,m3,m4,n1,n2) is Relation-like {0,1,2,3} -defined REAL -valued Function-like non empty V14({0,1,2,3}) quasi_total V33() V34() V35() Element of bool [:{0,1,2,3},REAL:]
[:{0,1,2,3},REAL:] is Relation-like non empty V33() V34() V35() set
bool [:{0,1,2,3},REAL:] is non empty set
(0,1) --> (m3,m4) is Relation-like NAT -defined Function-like set
(2,3) --> (n1,n2) is Relation-like NAT -defined Function-like set
((0,1) --> (m3,m4)) +* ((2,3) --> (n1,n2)) is Relation-like NAT -defined Function-like set
n3 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
n3 . 2 is complex real ext-real Element of REAL
[*z,z2*] is complex Element of COMPLEX
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
n1 is complex real ext-real Element of REAL
n2 is complex real ext-real Element of REAL
(REAL,0,1,2,3,m3,m4,n1,n2) is Relation-like {0,1,2,3} -defined REAL -valued Function-like non empty V14({0,1,2,3}) quasi_total V33() V34() V35() Element of bool [:{0,1,2,3},REAL:]
[:{0,1,2,3},REAL:] is Relation-like non empty V33() V34() V35() set
bool [:{0,1,2,3},REAL:] is non empty set
(0,1) --> (m3,m4) is Relation-like NAT -defined Function-like set
(2,3) --> (n1,n2) is Relation-like NAT -defined Function-like set
((0,1) --> (m3,m4)) +* ((2,3) --> (n1,n2)) is Relation-like NAT -defined Function-like set
n3 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
n3 . 3 is complex real ext-real Element of REAL
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
((z),(z),(z),(z)) is () Element of ()
z2 is complex set
Im z2 is complex real ext-real Element of REAL
[*(z),(z)*] is complex Element of COMPLEX
m1 is complex set
Re m1 is complex real ext-real Element of REAL
z2 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
z2 . 1 is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
(REAL,0,1,2,3,z2,m1,m2,m3) is Relation-like {0,1,2,3} -defined REAL -valued Function-like non empty V14({0,1,2,3}) quasi_total V33() V34() V35() Element of bool [:{0,1,2,3},REAL:]
[:{0,1,2,3},REAL:] is Relation-like non empty V33() V34() V35() set
bool [:{0,1,2,3},REAL:] is non empty set
(0,1) --> (z2,m1) is Relation-like NAT -defined Function-like set
(2,3) --> (m2,m3) is Relation-like NAT -defined Function-like set
((0,1) --> (z2,m1)) +* ((2,3) --> (m2,m3)) is Relation-like NAT -defined Function-like set
m4 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
m4 . 0 is complex real ext-real Element of REAL
m4 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
m4 . 1 is complex real ext-real Element of REAL
m4 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
m4 . 2 is complex real ext-real Element of REAL
m4 is Relation-like 4 -defined REAL -valued Function-like non empty V14(4) quasi_total V33() V34() V35() Element of bool [:4,REAL:]
m4 . 3 is complex real ext-real Element of REAL
m4 is Relation-like 4 -defined REAL -valued Function-like V14(4) quasi_total V33() V34() V35() Element of Funcs (4,REAL)
m4 . 2 is complex real ext-real Element of REAL
m4 . 3 is complex real ext-real Element of REAL
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
z2 is () set
(z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
((z2),(z2),(z2),(z2)) is () Element of ()
(1,0,0,0) is () Element of ()
[*1,0*] is complex Element of COMPLEX
() is () set
() is () set
z is complex real ext-real set
z ^2 is complex real ext-real set
z * z is complex real ext-real set
z2 is complex real ext-real set
z2 ^2 is complex real ext-real set
z2 * z2 is complex real ext-real set
(z ^2) + (z2 ^2) is complex real ext-real set
m1 is complex real ext-real set
m1 ^2 is complex real ext-real set
m1 * m1 is complex real ext-real set
((z ^2) + (z2 ^2)) + (m1 ^2) is complex real ext-real set
m2 is complex real ext-real set
m2 ^2 is complex real ext-real set
m2 * m2 is complex real ext-real set
(((z ^2) + (z2 ^2)) + (m1 ^2)) + (m2 ^2) is complex real ext-real set
(m1 ^2) + (m2 ^2) is complex real ext-real set
((z ^2) + (z2 ^2)) + ((m1 ^2) + (m2 ^2)) is complex real ext-real set
(m1 ^2) + (m2 ^2) is complex real ext-real set
((z ^2) + (z2 ^2)) + ((m1 ^2) + (m2 ^2)) is complex real ext-real set
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
((0,0,0,0)) is complex real ext-real Element of REAL
((0,0,0,0)) is complex real ext-real Element of REAL
((0,0,0,0)) is complex real ext-real Element of REAL
((0,0,0,0)) is complex real ext-real Element of REAL
z is () set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
z is () set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(1,0,0,0) is () Element of ()
[*1,0*] is complex Element of COMPLEX
(()) is complex real ext-real Element of REAL
(()) is complex real ext-real Element of REAL
(()) is complex real ext-real Element of REAL
(()) is complex real ext-real Element of REAL
(<i>) is complex real ext-real Element of REAL
(<i>) is complex real ext-real Element of REAL
(<i>) is complex real ext-real Element of REAL
(<i>) is complex real ext-real Element of REAL
(0,1,0,0) is () Element of ()
(()) is complex real ext-real Element of REAL
(()) is complex real ext-real Element of REAL
(()) is complex real ext-real Element of REAL
(()) is complex real ext-real Element of REAL
(()) is complex real ext-real Element of REAL
(()) is complex real ext-real Element of REAL
(()) is complex real ext-real Element of REAL
(()) is complex real ext-real Element of REAL
m3 is () set
z is () set
z2 is () set
(z,z2) is () set
m1 is () set
((z,z2),m1) is () set
m2 is () set
(((z,z2),m1),m2) is () set
(m3) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
((z) + (z2)) + (m1) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
(((z) + (z2)) + (m1)) + (m2) is complex real ext-real Element of REAL
(m3) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
((z) + (z2)) + (m1) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
(((z) + (z2)) + (m1)) + (m2) is complex real ext-real Element of REAL
(m3) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
((z) + (z2)) + (m1) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
(((z) + (z2)) + (m1)) + (m2) is complex real ext-real Element of REAL
(m3) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
((z) + (z2)) + (m1) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
(((z) + (z2)) + (m1)) + (m2) is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
n1 is complex real ext-real Element of REAL
n2 is complex real ext-real Element of REAL
n3 is complex real ext-real Element of REAL
(m4,n1,n2,n3) is () Element of ()
n4 is complex real ext-real Element of REAL
b1 is complex real ext-real Element of REAL
b2 is complex real ext-real Element of REAL
b3 is complex real ext-real Element of REAL
(n4,b1,b2,b3) is () Element of ()
m4 + n4 is complex real ext-real Element of REAL
n1 + b1 is complex real ext-real Element of REAL
n2 + b2 is complex real ext-real Element of REAL
n3 + b3 is complex real ext-real Element of REAL
((m4 + n4),(n1 + b1),(n2 + b2),(n3 + b3)) is () Element of ()
(m1,m2) is () set
b4 is complex real ext-real Element of REAL
a3 is complex real ext-real Element of REAL
a4 is complex real ext-real Element of REAL
a5 is complex real ext-real Element of REAL
(b4,a3,a4,a5) is () Element of ()
a6 is complex real ext-real Element of REAL
a7 is complex real ext-real Element of REAL
a8 is complex real ext-real Element of REAL
a9 is complex real ext-real Element of REAL
(a6,a7,a8,a9) is () Element of ()
b4 + a6 is complex real ext-real Element of REAL
a3 + a7 is complex real ext-real Element of REAL
a4 + a8 is complex real ext-real Element of REAL
a5 + a9 is complex real ext-real Element of REAL
((b4 + a6),(a3 + a7),(a4 + a8),(a5 + a9)) is () Element of ()
(m4 + n4) + b4 is complex real ext-real Element of REAL
(n1 + b1) + a3 is complex real ext-real Element of REAL
(n2 + b2) + a4 is complex real ext-real Element of REAL
(n3 + b3) + a5 is complex real ext-real Element of REAL
(((m4 + n4) + b4),((n1 + b1) + a3),((n2 + b2) + a4),((n3 + b3) + a5)) is () Element of ()
((m4 + n4) + b4) + a6 is complex real ext-real Element of REAL
((n1 + b1) + a3) + a7 is complex real ext-real Element of REAL
((n2 + b2) + a4) + a8 is complex real ext-real Element of REAL
((n3 + b3) + a5) + a9 is complex real ext-real Element of REAL
((((m4 + n4) + b4) + a6),(((n1 + b1) + a3) + a7),(((n2 + b2) + a4) + a8),(((n3 + b3) + a5) + a9)) is () Element of ()
m1 is () set
z is () set
z2 is () set
(z,z2) is () set
(m1) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
n1 is complex real ext-real Element of REAL
(m2,m3,m4,n1) is () Element of ()
n2 is complex real ext-real Element of REAL
n3 is complex real ext-real Element of REAL
n4 is complex real ext-real Element of REAL
b1 is complex real ext-real Element of REAL
(n2,n3,n4,b1) is () Element of ()
m2 + n2 is complex real ext-real Element of REAL
m3 + n3 is complex real ext-real Element of REAL
m4 + n4 is complex real ext-real Element of REAL
n1 + b1 is complex real ext-real Element of REAL
((m2 + n2),(m3 + n3),(m4 + n4),(n1 + b1)) is () Element of ()
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
z2 is () set
(z,z2) is () set
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(((z) + (z2)),((z) + (z2)),((z) + (z2)),((z) + (z2))) is () Element of ()
((((z) + (z2)),((z) + (z2)),((z) + (z2)),((z) + (z2)))) is complex real ext-real Element of REAL
m2 is () set
(m2) is complex real ext-real Element of REAL
((((z) + (z2)),((z) + (z2)),((z) + (z2)),((z) + (z2)))) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
((((z) + (z2)),((z) + (z2)),((z) + (z2)),((z) + (z2)))) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
((((z) + (z2)),((z) + (z2)),((z) + (z2)),((z) + (z2)))) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
m1 is () set
z is () set
z2 is () set
(z,z2) is () set
(m1) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((z) * (z2)) + (- ((z) * (z2))) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
(((z) * (z2)) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(m1) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(m1) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(m1) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
m2 is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
n1 is complex real ext-real Element of REAL
(m2,m3,m4,n1) is () Element of ()
n2 is complex real ext-real Element of REAL
n3 is complex real ext-real Element of REAL
n4 is complex real ext-real Element of REAL
b1 is complex real ext-real Element of REAL
(n2,n3,n4,b1) is () Element of ()
m2 * n2 is complex real ext-real Element of REAL
m3 * n3 is complex real ext-real Element of REAL
(m2 * n2) - (m3 * n3) is complex real ext-real Element of REAL
- (m3 * n3) is complex real ext-real set
(m2 * n2) + (- (m3 * n3)) is complex real ext-real set
m4 * n4 is complex real ext-real Element of REAL
((m2 * n2) - (m3 * n3)) - (m4 * n4) is complex real ext-real Element of REAL
- (m4 * n4) is complex real ext-real set
((m2 * n2) - (m3 * n3)) + (- (m4 * n4)) is complex real ext-real set
n1 * b1 is complex real ext-real Element of REAL
(((m2 * n2) - (m3 * n3)) - (m4 * n4)) - (n1 * b1) is complex real ext-real Element of REAL
- (n1 * b1) is complex real ext-real set
(((m2 * n2) - (m3 * n3)) - (m4 * n4)) + (- (n1 * b1)) is complex real ext-real set
m2 * n3 is complex real ext-real Element of REAL
m3 * n2 is complex real ext-real Element of REAL
(m2 * n3) + (m3 * n2) is complex real ext-real Element of REAL
m4 * b1 is complex real ext-real Element of REAL
((m2 * n3) + (m3 * n2)) + (m4 * b1) is complex real ext-real Element of REAL
n1 * n4 is complex real ext-real Element of REAL
(((m2 * n3) + (m3 * n2)) + (m4 * b1)) - (n1 * n4) is complex real ext-real Element of REAL
- (n1 * n4) is complex real ext-real set
(((m2 * n3) + (m3 * n2)) + (m4 * b1)) + (- (n1 * n4)) is complex real ext-real set
m2 * n4 is complex real ext-real Element of REAL
n2 * m4 is complex real ext-real Element of REAL
(m2 * n4) + (n2 * m4) is complex real ext-real Element of REAL
n3 * n1 is complex real ext-real Element of REAL
((m2 * n4) + (n2 * m4)) + (n3 * n1) is complex real ext-real Element of REAL
b1 * m3 is complex real ext-real Element of REAL
(((m2 * n4) + (n2 * m4)) + (n3 * n1)) - (b1 * m3) is complex real ext-real Element of REAL
- (b1 * m3) is complex real ext-real set
(((m2 * n4) + (n2 * m4)) + (n3 * n1)) + (- (b1 * m3)) is complex real ext-real set
m2 * b1 is complex real ext-real Element of REAL
n1 * n2 is complex real ext-real Element of REAL
(m2 * b1) + (n1 * n2) is complex real ext-real Element of REAL
m3 * n4 is complex real ext-real Element of REAL
((m2 * b1) + (n1 * n2)) + (m3 * n4) is complex real ext-real Element of REAL
m4 * n3 is complex real ext-real Element of REAL
(((m2 * b1) + (n1 * n2)) + (m3 * n4)) - (m4 * n3) is complex real ext-real Element of REAL
- (m4 * n3) is complex real ext-real set
(((m2 * b1) + (n1 * n2)) + (m3 * n4)) + (- (m4 * n3)) is complex real ext-real set
(((((m2 * n2) - (m3 * n3)) - (m4 * n4)) - (n1 * b1)),((((m2 * n3) + (m3 * n2)) + (m4 * b1)) - (n1 * n4)),((((m2 * n4) + (n2 * m4)) + (n3 * n1)) - (b1 * m3)),((((m2 * b1) + (n1 * n2)) + (m3 * n4)) - (m4 * n3))) is () Element of ()
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
z2 is () set
(z,z2) is () set
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
m1 is () set
((z,z2),m1) is () set
(m1) is complex real ext-real Element of REAL
((z) + (z2)) + (m1) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
((z) + (z2)) + (m1) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
((z) + (z2)) + (m1) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
((z) + (z2)) + (m1) is complex real ext-real Element of REAL
m2 is () set
(((z,z2),m1),m2) is () set
(m2) is complex real ext-real Element of REAL
(((z) + (z2)) + (m1)) + (m2) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
(((z) + (z2)) + (m1)) + (m2) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
(((z) + (z2)) + (m1)) + (m2) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
(((z) + (z2)) + (m1)) + (m2) is complex real ext-real Element of REAL
(((((z) + (z2)) + (m1)) + (m2)),((((z) + (z2)) + (m1)) + (m2)),((((z) + (z2)) + (m1)) + (m2)),((((z) + (z2)) + (m1)) + (m2))) is () Element of ()
((((((z) + (z2)) + (m1)) + (m2)),((((z) + (z2)) + (m1)) + (m2)),((((z) + (z2)) + (m1)) + (m2)),((((z) + (z2)) + (m1)) + (m2)))) is complex real ext-real Element of REAL
m4 is () set
(m4) is complex real ext-real Element of REAL
((((((z) + (z2)) + (m1)) + (m2)),((((z) + (z2)) + (m1)) + (m2)),((((z) + (z2)) + (m1)) + (m2)),((((z) + (z2)) + (m1)) + (m2)))) is complex real ext-real Element of REAL
(m4) is complex real ext-real Element of REAL
((((((z) + (z2)) + (m1)) + (m2)),((((z) + (z2)) + (m1)) + (m2)),((((z) + (z2)) + (m1)) + (m2)),((((z) + (z2)) + (m1)) + (m2)))) is complex real ext-real Element of REAL
(m4) is complex real ext-real Element of REAL
((((((z) + (z2)) + (m1)) + (m2)),((((z) + (z2)) + (m1)) + (m2)),((((z) + (z2)) + (m1)) + (m2)),((((z) + (z2)) + (m1)) + (m2)))) is complex real ext-real Element of REAL
(m4) is complex real ext-real Element of REAL
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
z2 is () set
(z,z2) is () set
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((z) * (z2)) + (- ((z) * (z2))) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
(((z) * (z2)) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)))) is () Element of ()
(((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))))) is complex real ext-real Element of REAL
m2 is () set
(m2) is complex real ext-real Element of REAL
(((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))))) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
(((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))))) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
(((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))))) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
z2 is () set
(z,z2) is () set
((z,z2)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((z) * (z2)) + (- ((z) * (z2))) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
(((z) * (z2)) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)))) is () Element of ()
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
z2 is () set
(z,z2) is () set
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
m1 is () set
((z,z2),m1) is () set
(m1) is complex real ext-real Element of REAL
((z) + (z2)) + (m1) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
((z) + (z2)) + (m1) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
((z) + (z2)) + (m1) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
((z) + (z2)) + (m1) is complex real ext-real Element of REAL
m2 is () set
(((z,z2),m1),m2) is () set
((((z,z2),m1),m2)) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
(((z) + (z2)) + (m1)) + (m2) is complex real ext-real Element of REAL
((((z,z2),m1),m2)) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
(((z) + (z2)) + (m1)) + (m2) is complex real ext-real Element of REAL
((((z,z2),m1),m2)) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
(((z) + (z2)) + (m1)) + (m2) is complex real ext-real Element of REAL
((((z,z2),m1),m2)) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
(((z) + (z2)) + (m1)) + (m2) is complex real ext-real Element of REAL
(((((z) + (z2)) + (m1)) + (m2)),((((z) + (z2)) + (m1)) + (m2)),((((z) + (z2)) + (m1)) + (m2)),((((z) + (z2)) + (m1)) + (m2))) is () Element of ()
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
[*z2,0*] is complex Element of COMPLEX
(z2,0,0,0) is () Element of ()
z is () set
(z,<i>) is () set
((z,<i>)) is complex real ext-real Element of REAL
((z,<i>)) is complex real ext-real Element of REAL
((z,<i>)) is complex real ext-real Element of REAL
((z,<i>)) is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) * (<i>) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) * (<i>) is complex real ext-real Element of REAL
((z) * (<i>)) - ((z) * (<i>)) is complex real ext-real Element of REAL
- ((z) * (<i>)) is complex real ext-real set
((z) * (<i>)) + (- ((z) * (<i>))) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) * (<i>) is complex real ext-real Element of REAL
(((z) * (<i>)) - ((z) * (<i>))) - ((z) * (<i>)) is complex real ext-real Element of REAL
- ((z) * (<i>)) is complex real ext-real set
(((z) * (<i>)) - ((z) * (<i>))) + (- ((z) * (<i>))) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) * (<i>) is complex real ext-real Element of REAL
((((z) * (<i>)) - ((z) * (<i>))) - ((z) * (<i>))) - ((z) * (<i>)) is complex real ext-real Element of REAL
- ((z) * (<i>)) is complex real ext-real set
((((z) * (<i>)) - ((z) * (<i>))) - ((z) * (<i>))) + (- ((z) * (<i>))) is complex real ext-real set
(z) * (<i>) is complex real ext-real Element of REAL
(z) * (<i>) is complex real ext-real Element of REAL
((z) * (<i>)) + ((z) * (<i>)) is complex real ext-real Element of REAL
(z) * (<i>) is complex real ext-real Element of REAL
(((z) * (<i>)) + ((z) * (<i>))) + ((z) * (<i>)) is complex real ext-real Element of REAL
(z) * (<i>) is complex real ext-real Element of REAL
((((z) * (<i>)) + ((z) * (<i>))) + ((z) * (<i>))) - ((z) * (<i>)) is complex real ext-real Element of REAL
- ((z) * (<i>)) is complex real ext-real set
((((z) * (<i>)) + ((z) * (<i>))) + ((z) * (<i>))) + (- ((z) * (<i>))) is complex real ext-real set
(z) * (<i>) is complex real ext-real Element of REAL
(z) * (<i>) is complex real ext-real Element of REAL
((z) * (<i>)) + ((z) * (<i>)) is complex real ext-real Element of REAL
(z) * (<i>) is complex real ext-real Element of REAL
(((z) * (<i>)) + ((z) * (<i>))) + ((z) * (<i>)) is complex real ext-real Element of REAL
(z) * (<i>) is complex real ext-real Element of REAL
((((z) * (<i>)) + ((z) * (<i>))) + ((z) * (<i>))) - ((z) * (<i>)) is complex real ext-real Element of REAL
- ((z) * (<i>)) is complex real ext-real set
((((z) * (<i>)) + ((z) * (<i>))) + ((z) * (<i>))) + (- ((z) * (<i>))) is complex real ext-real set
(z) * (<i>) is complex real ext-real Element of REAL
(z) * (<i>) is complex real ext-real Element of REAL
((z) * (<i>)) + ((z) * (<i>)) is complex real ext-real Element of REAL
(z) * (<i>) is complex real ext-real Element of REAL
(((z) * (<i>)) + ((z) * (<i>))) + ((z) * (<i>)) is complex real ext-real Element of REAL
(z) * (<i>) is complex real ext-real Element of REAL
((((z) * (<i>)) + ((z) * (<i>))) + ((z) * (<i>))) - ((z) * (<i>)) is complex real ext-real Element of REAL
- ((z) * (<i>)) is complex real ext-real set
((((z) * (<i>)) + ((z) * (<i>))) + ((z) * (<i>))) + (- ((z) * (<i>))) is complex real ext-real set
z is () set
(z,()) is () set
((z,())) is complex real ext-real Element of REAL
((z,())) is complex real ext-real Element of REAL
((z,())) is complex real ext-real Element of REAL
((z,())) is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
((z) * (())) - ((z) * (())) is complex real ext-real Element of REAL
- ((z) * (())) is complex real ext-real set
((z) * (())) + (- ((z) * (()))) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
(((z) * (())) - ((z) * (()))) - ((z) * (())) is complex real ext-real Element of REAL
- ((z) * (())) is complex real ext-real set
(((z) * (())) - ((z) * (()))) + (- ((z) * (()))) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
((((z) * (())) - ((z) * (()))) - ((z) * (()))) - ((z) * (())) is complex real ext-real Element of REAL
- ((z) * (())) is complex real ext-real set
((((z) * (())) - ((z) * (()))) - ((z) * (()))) + (- ((z) * (()))) is complex real ext-real set
(z) * (()) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
((z) * (())) + ((z) * (())) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
(((z) * (())) + ((z) * (()))) + ((z) * (())) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
((((z) * (())) + ((z) * (()))) + ((z) * (()))) - ((z) * (())) is complex real ext-real Element of REAL
- ((z) * (())) is complex real ext-real set
((((z) * (())) + ((z) * (()))) + ((z) * (()))) + (- ((z) * (()))) is complex real ext-real set
(z) * (()) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
((z) * (())) + ((z) * (())) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
(((z) * (())) + ((z) * (()))) + ((z) * (())) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
((((z) * (())) + ((z) * (()))) + ((z) * (()))) - ((z) * (())) is complex real ext-real Element of REAL
- ((z) * (())) is complex real ext-real set
((((z) * (())) + ((z) * (()))) + ((z) * (()))) + (- ((z) * (()))) is complex real ext-real set
(z) * (()) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
((z) * (())) + ((z) * (())) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
(((z) * (())) + ((z) * (()))) + ((z) * (())) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
((((z) * (())) + ((z) * (()))) + ((z) * (()))) - ((z) * (())) is complex real ext-real Element of REAL
- ((z) * (())) is complex real ext-real set
((((z) * (())) + ((z) * (()))) + ((z) * (()))) + (- ((z) * (()))) is complex real ext-real set
z is () set
(z,()) is () set
((z,())) is complex real ext-real Element of REAL
((z,())) is complex real ext-real Element of REAL
((z,())) is complex real ext-real Element of REAL
((z,())) is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
((z) * (())) - ((z) * (())) is complex real ext-real Element of REAL
- ((z) * (())) is complex real ext-real set
((z) * (())) + (- ((z) * (()))) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
(((z) * (())) - ((z) * (()))) - ((z) * (())) is complex real ext-real Element of REAL
- ((z) * (())) is complex real ext-real set
(((z) * (())) - ((z) * (()))) + (- ((z) * (()))) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
((((z) * (())) - ((z) * (()))) - ((z) * (()))) - ((z) * (())) is complex real ext-real Element of REAL
- ((z) * (())) is complex real ext-real set
((((z) * (())) - ((z) * (()))) - ((z) * (()))) + (- ((z) * (()))) is complex real ext-real set
(z) * (()) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
((z) * (())) + ((z) * (())) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
(((z) * (())) + ((z) * (()))) + ((z) * (())) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
((((z) * (())) + ((z) * (()))) + ((z) * (()))) - ((z) * (())) is complex real ext-real Element of REAL
- ((z) * (())) is complex real ext-real set
((((z) * (())) + ((z) * (()))) + ((z) * (()))) + (- ((z) * (()))) is complex real ext-real set
(z) * (()) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
((z) * (())) + ((z) * (())) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
(((z) * (())) + ((z) * (()))) + ((z) * (())) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
((((z) * (())) + ((z) * (()))) + ((z) * (()))) - ((z) * (())) is complex real ext-real Element of REAL
- ((z) * (())) is complex real ext-real set
((((z) * (())) + ((z) * (()))) + ((z) * (()))) + (- ((z) * (()))) is complex real ext-real set
(z) * (()) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
((z) * (())) + ((z) * (())) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
(((z) * (())) + ((z) * (()))) + ((z) * (())) is complex real ext-real Element of REAL
(z) * (()) is complex real ext-real Element of REAL
((((z) * (())) + ((z) * (()))) + ((z) * (()))) - ((z) * (())) is complex real ext-real Element of REAL
- ((z) * (())) is complex real ext-real set
((((z) * (())) + ((z) * (()))) + ((z) * (()))) + (- ((z) * (()))) is complex real ext-real set
z2 is () set
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
(m1,m2,m3,m4) is () Element of ()
z is complex real ext-real Element of REAL
z + m1 is complex real ext-real Element of REAL
((z + m1),m2,m3,m4) is () Element of ()
n1 is set
n2 is set
n3 is complex real ext-real Element of REAL
n4 is complex real ext-real Element of REAL
b1 is complex real ext-real Element of REAL
b2 is complex real ext-real Element of REAL
(n3,n4,b1,b2) is () Element of ()
z + n3 is complex real ext-real Element of REAL
((z + n3),n4,b1,b2) is () Element of ()
b3 is complex real ext-real Element of REAL
b4 is complex real ext-real Element of REAL
a3 is complex real ext-real Element of REAL
a4 is complex real ext-real Element of REAL
(b3,b4,a3,a4) is () Element of ()
z + b3 is complex real ext-real Element of REAL
((z + b3),b4,a3,a4) is () Element of ()
z is complex real ext-real Element of REAL
z2 is () set
(z2) is () set
(z,(z2)) is set
z2 is () set
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
(m1,m2,m3,m4) is () Element of ()
z is complex real ext-real Element of REAL
z * m1 is complex real ext-real Element of REAL
z * m2 is complex real ext-real Element of REAL
z * m3 is complex real ext-real Element of REAL
z * m4 is complex real ext-real Element of REAL
((z * m1),(z * m2),(z * m3),(z * m4)) is () Element of ()
n1 is set
n2 is set
n3 is complex real ext-real Element of REAL
n4 is complex real ext-real Element of REAL
b1 is complex real ext-real Element of REAL
b2 is complex real ext-real Element of REAL
(n3,n4,b1,b2) is () Element of ()
z * n3 is complex real ext-real Element of REAL
z * n4 is complex real ext-real Element of REAL
z * b1 is complex real ext-real Element of REAL
z * b2 is complex real ext-real Element of REAL
((z * n3),(z * n4),(z * b1),(z * b2)) is () Element of ()
b3 is complex real ext-real Element of REAL
b4 is complex real ext-real Element of REAL
a3 is complex real ext-real Element of REAL
a4 is complex real ext-real Element of REAL
(b3,b4,a3,a4) is () Element of ()
z * b3 is complex real ext-real Element of REAL
z * b4 is complex real ext-real Element of REAL
z * a3 is complex real ext-real Element of REAL
z * a4 is complex real ext-real Element of REAL
((z * b3),(z * b4),(z * a3),(z * a4)) is () Element of ()
z is complex real ext-real Element of REAL
z2 is () set
(z,z2) is set
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
(m1,m2,m3,m4) is () Element of ()
z + m1 is complex real ext-real Element of REAL
((z + m1),m2,m3,m4) is () Element of ()
(z,z2) is set
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
(m1,m2,m3,m4) is () Element of ()
z * m1 is complex real ext-real Element of REAL
z * m2 is complex real ext-real Element of REAL
z * m3 is complex real ext-real Element of REAL
z * m4 is complex real ext-real Element of REAL
((z * m1),(z * m2),(z * m3),(z * m4)) is () Element of ()
(z,z2) is set
(z2) is () set
(z,(z2)) is () set
z is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
(z,z2,m1,m2) is () Element of ()
(z2,<i>) is () set
(z,(z2,<i>)) is () set
(m1,()) is () set
((z,(z2,<i>)),(m1,())) is () set
(m2,()) is () set
(((z,(z2,<i>)),(m1,())),(m2,())) is () set
(0,1,0,0) is () Element of ()
z2 * 0 is complex real ext-real Element of REAL
z2 * 1 is complex real ext-real Element of REAL
((z2 * 0),(z2 * 1),(z2 * 0),(z2 * 0)) is () Element of ()
(0,z2,0,0) is () Element of ()
m1 * 0 is complex real ext-real Element of REAL
m1 * 1 is complex real ext-real Element of REAL
((m1 * 0),(m1 * 0),(m1 * 1),(z2 * 0)) is () Element of ()
(0,0,m1,0) is () Element of ()
m2 * 0 is complex real ext-real Element of REAL
m2 * 1 is complex real ext-real Element of REAL
((m2 * 0),(m2 * 0),(m2 * 0),(m2 * 1)) is () Element of ()
(0,0,0,m2) is () Element of ()
z + 0 is complex real ext-real Element of REAL
((z + 0),z2,0,0) is () Element of ()
(z,z2,0,0) is () Element of ()
z2 + 0 is complex real ext-real Element of REAL
0 + m1 is complex real ext-real Element of REAL
0 + 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
((z + 0),(z2 + 0),(0 + m1),(0 + 0)) is () Element of ()
(z,z2,m1,0) is () Element of ()
0 + m2 is complex real ext-real Element of REAL
((z + 0),(z2 + 0),(0 + m1),(0 + m2)) is () Element of ()
z is () set
z2 is () set
(z,z2) is () set
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
z2 is () set
(z,z2) is () Element of ()
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(((z) + (z2)),<i>) is () set
(((z) + (z2)),(((z) + (z2)),<i>)) is () set
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(((z) + (z2)),()) is () set
((((z) + (z2)),(((z) + (z2)),<i>)),(((z) + (z2)),())) is () Element of ()
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(((z) + (z2)),()) is () set
(((((z) + (z2)),(((z) + (z2)),<i>)),(((z) + (z2)),())),(((z) + (z2)),())) is () Element of ()
(((z) + (z2)),((z) + (z2)),((z) + (z2)),((z) + (z2))) is () Element of ()
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
z2 is () set
(z,z2) is () Element of ()
((z,z2)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(((z) + (z2)),((z) + (z2)),((z) + (z2)),((z) + (z2))) is () Element of ()
z is () set
z2 is () set
(z,z2) is () set
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
z2 is () set
(z,z2) is () Element of ()
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((z) * (z2)) + (- ((z) * (z2))) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
(((z) * (z2)) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),<i>) is () set
((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),<i>)) is () set
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),()) is () set
(((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),<i>)),((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),())) is () Element of ()
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),()) is () set
((((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),<i>)),((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),())),((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),())) is () Element of ()
((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)))) is () Element of ()
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
((z),<i>) is () set
((z),((z),<i>)) is () set
(z) is complex real ext-real Element of REAL
((z),()) is () set
(((z),((z),<i>)),((z),())) is () Element of ()
(z) is complex real ext-real Element of REAL
((z),()) is () set
((((z),((z),<i>)),((z),())),((z),())) is () Element of ()
((z),(z),(z),(z)) is () Element of ()
z is () set
(z,()) is () Element of ()
[*0,0*] is complex Element of COMPLEX
z2 is complex real ext-real Element of REAL
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
(z2,m1,m2,m3) is () Element of ()
z2 + 0 is complex real ext-real Element of REAL
m1 + 0 is complex real ext-real Element of REAL
m2 + 0 is complex real ext-real Element of REAL
m3 + 0 is complex real ext-real Element of REAL
((z2 + 0),(m1 + 0),(m2 + 0),(m3 + 0)) is () Element of ()
(0,<i>) is () set
(0,()) is () set
(0,()) is () set
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
(m1,m2,m3,m4) is () Element of ()
0 * m1 is complex real ext-real Element of REAL
0 * m2 is complex real ext-real Element of REAL
0 * m3 is complex real ext-real Element of REAL
0 * m4 is complex real ext-real Element of REAL
((0 * m1),(0 * m2),(0 * m3),(0 * m4)) is () Element of ()
[*0,0*] is complex Element of COMPLEX
n1 is complex real ext-real Element of REAL
n2 is complex real ext-real Element of REAL
n3 is complex real ext-real Element of REAL
n4 is complex real ext-real Element of REAL
(n1,n2,n3,n4) is () Element of ()
0 * n1 is complex real ext-real Element of REAL
0 * n2 is complex real ext-real Element of REAL
0 * n3 is complex real ext-real Element of REAL
0 * n4 is complex real ext-real Element of REAL
((0 * n1),(0 * n2),(0 * n3),(0 * n4)) is () Element of ()
b1 is complex real ext-real Element of REAL
b2 is complex real ext-real Element of REAL
b3 is complex real ext-real Element of REAL
b4 is complex real ext-real Element of REAL
(b1,b2,b3,b4) is () Element of ()
0 * b1 is complex real ext-real Element of REAL
0 * b2 is complex real ext-real Element of REAL
0 * b3 is complex real ext-real Element of REAL
0 * b4 is complex real ext-real Element of REAL
((0 * b1),(0 * b2),(0 * b3),(0 * b4)) is () Element of ()
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
z2 is () set
(z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z,z2) is () Element of ()
((z,z2)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((z) * (z2)) + (- ((z) * (z2))) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((z) * (z2)) + (- ((z) * (z2))) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((z) * (z2)) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((z) * (z2)) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
(((z) * (z2)) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),<i>) is () set
((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),<i>)) is () set
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),()) is () set
(((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),<i>)),((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),())) is () Element of ()
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),()) is () set
((((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),<i>)),((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),())),((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),())) is () Element of ()
(((z) * (z2)),()) is () set
((((z) * (z2)),()),()) is () Element of ()
m1 is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m3 is complex real ext-real Element of REAL
m4 is complex real ext-real Element of REAL
(m1,m2,m3,m4) is () Element of ()
((z) * (z2)) + m1 is complex real ext-real Element of REAL
((((z) * (z2)) + m1),m2,m3,m4) is () Element of ()
[*((z) * (z2)),0*] is complex Element of COMPLEX
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
z2 is () set
(z2) is complex real ext-real Element of REAL
(z,z2) is () Element of ()
((z,z2)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(- ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
(- ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((- ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((- ((z) * (z2))) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((z) * (z2)) + (- ((z) * (z2))) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((z) * (z2)) + (- ((z) * (z2))) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((z) * (z2)) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((z) * (z2)) + (- ((z) * (z2))) is complex real ext-real set
(((z) * (z2)) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
(((z) * (z2)) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
z is () set
(z,z) is () Element of ()
((z,z)) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) - ((z) ^2) is complex real ext-real Element of REAL
- ((z) ^2) is complex real ext-real set
((z) ^2) + (- ((z) ^2)) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) - ((z) ^2)) - ((z) ^2) is complex real ext-real Element of REAL
- ((z) ^2) is complex real ext-real set
(((z) ^2) - ((z) ^2)) + (- ((z) ^2)) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) - ((z) ^2)) - ((z) ^2)) - ((z) ^2) is complex real ext-real Element of REAL
- ((z) ^2) is complex real ext-real set
((((z) ^2) - ((z) ^2)) - ((z) ^2)) + (- ((z) ^2)) is complex real ext-real set
((z,z)) is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real Element of REAL
2 * ((z) * (z)) is complex real ext-real Element of REAL
((z,z)) is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real Element of REAL
2 * ((z) * (z)) is complex real ext-real Element of REAL
((z,z)) is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real Element of REAL
2 * ((z) * (z)) is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real Element of REAL
((z) * (z)) - ((z) * (z)) is complex real ext-real Element of REAL
- ((z) * (z)) is complex real ext-real set
((z) * (z)) + (- ((z) * (z))) is complex real ext-real set
(z) * (z) is complex real ext-real Element of REAL
(((z) * (z)) - ((z) * (z))) - ((z) * (z)) is complex real ext-real Element of REAL
- ((z) * (z)) is complex real ext-real set
(((z) * (z)) - ((z) * (z))) + (- ((z) * (z))) is complex real ext-real set
(z) * (z) is complex real ext-real Element of REAL
((((z) * (z)) - ((z) * (z))) - ((z) * (z))) - ((z) * (z)) is complex real ext-real Element of REAL
- ((z) * (z)) is complex real ext-real set
((((z) * (z)) - ((z) * (z))) - ((z) * (z))) + (- ((z) * (z))) is complex real ext-real set
(z) * (z) is complex real ext-real Element of REAL
((z) * (z)) + ((z) * (z)) is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real Element of REAL
(((z) * (z)) + ((z) * (z))) + ((z) * (z)) is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real Element of REAL
((((z) * (z)) + ((z) * (z))) + ((z) * (z))) - ((z) * (z)) is complex real ext-real Element of REAL
- ((z) * (z)) is complex real ext-real set
((((z) * (z)) + ((z) * (z))) + ((z) * (z))) + (- ((z) * (z))) is complex real ext-real set
(z) * (z) is complex real ext-real Element of REAL
((z) * (z)) + ((z) * (z)) is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real Element of REAL
(((z) * (z)) + ((z) * (z))) + ((z) * (z)) is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real Element of REAL
((((z) * (z)) + ((z) * (z))) + ((z) * (z))) - ((z) * (z)) is complex real ext-real Element of REAL
- ((z) * (z)) is complex real ext-real set
((((z) * (z)) + ((z) * (z))) + ((z) * (z))) + (- ((z) * (z))) is complex real ext-real set
(z) * (z) is complex real ext-real Element of REAL
((z) * (z)) + ((z) * (z)) is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real Element of REAL
(((z) * (z)) + ((z) * (z))) + ((z) * (z)) is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real Element of REAL
((((z) * (z)) + ((z) * (z))) + ((z) * (z))) - ((z) * (z)) is complex real ext-real Element of REAL
- ((z) * (z)) is complex real ext-real set
((((z) * (z)) + ((z) * (z))) + ((z) * (z))) + (- ((z) * (z))) is complex real ext-real set
z is () set
(z) is () set
z is () set
(z) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((- (z)),((- (z)),<i>)) is () set
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
(((- (z)),((- (z)),<i>)),((- (z)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
((((- (z)),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
((- (z)),(- (z)),(- (z)),(- (z))) is () Element of ()
(((- (z)),(- (z)),(- (z)),(- (z))),z) is () Element of ()
(((- (z)),(- (z)),(- (z)),(- (z)))) is complex real ext-real Element of REAL
(((- (z)),(- (z)),(- (z)),(- (z)))) + (z) is complex real ext-real Element of REAL
(((- (z)),(- (z)),(- (z)),(- (z)))) is complex real ext-real Element of REAL
(((- (z)),(- (z)),(- (z)),(- (z)))) + (z) is complex real ext-real Element of REAL
(((- (z)),(- (z)),(- (z)),(- (z)))) is complex real ext-real Element of REAL
(((- (z)),(- (z)),(- (z)),(- (z)))) + (z) is complex real ext-real Element of REAL
(((- (z)),(- (z)),(- (z)),(- (z)))) is complex real ext-real Element of REAL
(((- (z)),(- (z)),(- (z)),(- (z)))) + (z) is complex real ext-real Element of REAL
(((((- (z)),(- (z)),(- (z)),(- (z)))) + (z)),((((- (z)),(- (z)),(- (z)),(- (z)))) + (z)),((((- (z)),(- (z)),(- (z)),(- (z)))) + (z)),((((- (z)),(- (z)),(- (z)),(- (z)))) + (z))) is () Element of ()
(- (z)) + (z) is complex real ext-real Element of REAL
(((- (z)) + (z)),((((- (z)),(- (z)),(- (z)),(- (z)))) + (z)),((((- (z)),(- (z)),(- (z)),(- (z)))) + (z)),((((- (z)),(- (z)),(- (z)),(- (z)))) + (z))) is () Element of ()
(- (z)) + (z) is complex real ext-real Element of REAL
(0,((- (z)) + (z)),((((- (z)),(- (z)),(- (z)),(- (z)))) + (z)),((((- (z)),(- (z)),(- (z)),(- (z)))) + (z))) is () Element of ()
(- (z)) + (z) is complex real ext-real Element of REAL
(0,0,((- (z)) + (z)),((((- (z)),(- (z)),(- (z)),(- (z)))) + (z))) is () Element of ()
(- (z)) + (z) is complex real ext-real Element of REAL
(0,0,0,((- (z)) + (z))) is () Element of ()
z is () set
(z) is () Element of ()
((z)) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((z)) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((z)) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((z)) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((- (z)),((- (z)),<i>)) is () set
((- (z)),()) is () set
(((- (z)),((- (z)),<i>)),((- (z)),())) is () Element of ()
((- (z)),()) is () set
((((- (z)),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
((- (z)),(- (z)),(- (z)),(- (z))) is () Element of ()
z is () set
z2 is () set
(z,z2) is set
(z2) is () set
(z,(z2)) is () set
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
z2 is () set
(z,z2) is () Element of ()
(z2) is () set
(z,(z2)) is () set
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(((z) - (z2)),<i>) is () set
(((z) - (z2)),(((z) - (z2)),<i>)) is () set
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(((z) - (z2)),()) is () set
((((z) - (z2)),(((z) - (z2)),<i>)),(((z) - (z2)),())) is () Element of ()
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(((z) - (z2)),()) is () set
(((((z) - (z2)),(((z) - (z2)),<i>)),(((z) - (z2)),())),(((z) - (z2)),())) is () Element of ()
(z2) is () Element of ()
((z2)) is complex real ext-real Element of REAL
(z) + ((z2)) is complex real ext-real Element of REAL
((z2)) is complex real ext-real Element of REAL
(z) + ((z2)) is complex real ext-real Element of REAL
(((z) + ((z2))),<i>) is () set
(((z) + ((z2))),(((z) + ((z2))),<i>)) is () set
((z2)) is complex real ext-real Element of REAL
(z) + ((z2)) is complex real ext-real Element of REAL
(((z) + ((z2))),()) is () set
((((z) + ((z2))),(((z) + ((z2))),<i>)),(((z) + ((z2))),())) is () Element of ()
((z2)) is complex real ext-real Element of REAL
(z) + ((z2)) is complex real ext-real Element of REAL
(((z) + ((z2))),()) is () set
(((((z) + ((z2))),(((z) + ((z2))),<i>)),(((z) + ((z2))),())),(((z) + ((z2))),())) is () Element of ()
- (z2) is complex real ext-real Element of REAL
(z) + (- (z2)) is complex real ext-real Element of REAL
(((z) + (- (z2))),(((z) + ((z2))),<i>)) is () set
((((z) + (- (z2))),(((z) + ((z2))),<i>)),(((z) + ((z2))),())) is () Element of ()
(((((z) + (- (z2))),(((z) + ((z2))),<i>)),(((z) + ((z2))),())),(((z) + ((z2))),())) is () Element of ()
(((z) + (- (z2))),(((z) - (z2)),<i>)) is () set
((((z) + (- (z2))),(((z) - (z2)),<i>)),(((z) + ((z2))),())) is () Element of ()
(((((z) + (- (z2))),(((z) - (z2)),<i>)),(((z) + ((z2))),())),(((z) + ((z2))),())) is () Element of ()
- (z2) is complex real ext-real Element of REAL
(z) + (- (z2)) is complex real ext-real Element of REAL
(((z) + (- (z2))),()) is () set
((((z) + (- (z2))),(((z) - (z2)),<i>)),(((z) + (- (z2))),())) is () Element of ()
(((((z) + (- (z2))),(((z) - (z2)),<i>)),(((z) + (- (z2))),())),(((z) + ((z2))),())) is () Element of ()
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
z2 is () set
(z,z2) is () Element of ()
(z2) is () set
(z,(z2)) is () set
((z,z2)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(((z) - (z2)),<i>) is () set
(((z) - (z2)),(((z) - (z2)),<i>)) is () set
(((z) - (z2)),()) is () set
((((z) - (z2)),(((z) - (z2)),<i>)),(((z) - (z2)),())) is () Element of ()
(((z) - (z2)),()) is () set
(((((z) - (z2)),(((z) - (z2)),<i>)),(((z) - (z2)),())),(((z) - (z2)),())) is () Element of ()
(((z) - (z2)),((z) - (z2)),((z) - (z2)),((z) - (z2))) is () Element of ()
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((z),((- (z)),<i>)) is () set
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
(((z),((- (z)),<i>)),((- (z)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
((((z),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
z is () set
(z) is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((z),((- (z)),<i>)) is () set
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
(((z),((- (z)),<i>)),((- (z)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
((((z),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
z is () set
(z) is () Element of ()
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((z),((- (z)),<i>)) is () set
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
(((z),((- (z)),<i>)),((- (z)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
((((z),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
((z),(- (z)),(- (z)),(- (z))) is () Element of ()
(0,1,0,0) is () Element of ()
(- (z)) * 0 is complex real ext-real Element of REAL
(- (z)) * 1 is complex real ext-real Element of REAL
(((- (z)) * 0),((- (z)) * 1),((- (z)) * 0),((- (z)) * 0)) is () Element of ()
((z),(((- (z)) * 0),((- (z)) * 1),((- (z)) * 0),((- (z)) * 0))) is () set
(((z),(((- (z)) * 0),((- (z)) * 1),((- (z)) * 0),((- (z)) * 0))),((- (z)),())) is () Element of ()
((((z),(((- (z)) * 0),((- (z)) * 1),((- (z)) * 0),((- (z)) * 0))),((- (z)),())),((- (z)),())) is () Element of ()
(0,(- (z)),0,0) is () Element of ()
((z),(0,(- (z)),0,0)) is () set
(- (z)) * 0 is complex real ext-real Element of REAL
(- (z)) * 1 is complex real ext-real Element of REAL
(((- (z)) * 0),((- (z)) * 0),((- (z)) * 1),((- (z)) * 0)) is () Element of ()
(((z),(0,(- (z)),0,0)),(((- (z)) * 0),((- (z)) * 0),((- (z)) * 1),((- (z)) * 0))) is () Element of ()
((((z),(0,(- (z)),0,0)),(((- (z)) * 0),((- (z)) * 0),((- (z)) * 1),((- (z)) * 0))),((- (z)),())) is () Element of ()
(0,0,(- (z)),0) is () Element of ()
(((z),(0,(- (z)),0,0)),(0,0,(- (z)),0)) is () Element of ()
(- (z)) * 0 is complex real ext-real Element of REAL
(- (z)) * 1 is complex real ext-real Element of REAL
(((- (z)) * 0),((- (z)) * 0),((- (z)) * 0),((- (z)) * 1)) is () Element of ()
((((z),(0,(- (z)),0,0)),(0,0,(- (z)),0)),(((- (z)) * 0),((- (z)) * 0),((- (z)) * 0),((- (z)) * 1))) is () Element of ()
(z) + 0 is complex real ext-real Element of REAL
(((z) + 0),(- (z)),0,0) is () Element of ()
((((z) + 0),(- (z)),0,0),(0,0,(- (z)),0)) is () Element of ()
(0,0,0,(- (z))) is () Element of ()
(((((z) + 0),(- (z)),0,0),(0,0,(- (z)),0)),(0,0,0,(- (z)))) is () Element of ()
(- (z)) + 0 is complex real ext-real Element of REAL
0 + (- (z)) is complex real ext-real Element of REAL
0 + 0 is Relation-like non-empty empty-yielding RAT -valued empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural complex real ext-real non positive non negative V33() V34() V35() V36() V45() V46() V47() V48() V49() V50() V51() Element of REAL
(((z) + 0),((- (z)) + 0),(0 + (- (z))),(0 + 0)) is () Element of ()
((((z) + 0),((- (z)) + 0),(0 + (- (z))),(0 + 0)),(0,0,0,(- (z)))) is () Element of ()
(- (z)) + 0 is complex real ext-real Element of REAL
0 + (- (z)) is complex real ext-real Element of REAL
(((z) + 0),((- (z)) + 0),((- (z)) + 0),(0 + (- (z)))) is () Element of ()
z is () set
(z) is () Element of ()
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((z),((- (z)),<i>)) is () set
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
(((z),((- (z)),<i>)),((- (z)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
((((z),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
((z)) is complex real ext-real Element of REAL
((z)) is complex real ext-real Element of REAL
((z)) is complex real ext-real Element of REAL
((z)) is complex real ext-real Element of REAL
((z),(- (z)),(- (z)),(- (z))) is () Element of ()
z is () set
(z) is () Element of ()
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((z),((- (z)),<i>)) is () set
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
(((z),((- (z)),<i>)),((- (z)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
((((z),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
z is () set
(z) is () Element of ()
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((z),((- (z)),<i>)) is () set
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
(((z),((- (z)),<i>)),((- (z)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
((((z),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
((z),(- (z)),(- (z)),(- (z))) is () Element of ()
((z)) is complex real ext-real Element of REAL
((z)) is complex real ext-real Element of REAL
((z)) is complex real ext-real Element of REAL
((z)) is complex real ext-real Element of REAL
(()) is () Element of ()
- (()) is complex real ext-real Element of REAL
((- (())),<i>) is () set
((()),((- (())),<i>)) is () set
- (()) is complex real ext-real Element of REAL
((- (())),()) is () set
(((()),((- (())),<i>)),((- (())),())) is () Element of ()
- (()) is complex real ext-real Element of REAL
((- (())),()) is () set
((((()),((- (())),<i>)),((- (())),())),((- (())),())) is () Element of ()
[*1,0*] is complex Element of COMPLEX
((1,0,0,0)) is complex real ext-real Element of REAL
((1,0,0,0)) is complex real ext-real Element of REAL
((1,0,0,0)) is complex real ext-real Element of REAL
((1,0,0,0)) is complex real ext-real Element of REAL
(<i>) is () Element of ()
- (<i>) is complex real ext-real Element of REAL
((- (<i>)),<i>) is () set
((<i>),((- (<i>)),<i>)) is () set
- (<i>) is complex real ext-real Element of REAL
((- (<i>)),()) is () set
(((<i>),((- (<i>)),<i>)),((- (<i>)),())) is () Element of ()
- (<i>) is complex real ext-real Element of REAL
((- (<i>)),()) is () set
((((<i>),((- (<i>)),<i>)),((- (<i>)),())),((- (<i>)),())) is () Element of ()
((<i>)) is complex real ext-real Element of REAL
((<i>)) is complex real ext-real Element of REAL
((<i>)) is complex real ext-real Element of REAL
((<i>)) is complex real ext-real Element of REAL
(0,(- 1),0,0) is () Element of ()
(()) is () Element of ()
- (()) is complex real ext-real Element of REAL
((- (())),<i>) is () set
((()),((- (())),<i>)) is () set
- (()) is complex real ext-real Element of REAL
((- (())),()) is () set
(((()),((- (())),<i>)),((- (())),())) is () Element of ()
- (()) is complex real ext-real Element of REAL
((- (())),()) is () set
((((()),((- (())),<i>)),((- (())),())),((- (())),())) is () Element of ()
((())) is complex real ext-real Element of REAL
((())) is complex real ext-real Element of REAL
((())) is complex real ext-real Element of REAL
((())) is complex real ext-real Element of REAL
(0,0,(- 1),0) is () Element of ()
(()) is () Element of ()
- (()) is complex real ext-real Element of REAL
((- (())),<i>) is () set
((()),((- (())),<i>)) is () set
- (()) is complex real ext-real Element of REAL
((- (())),()) is () set
(((()),((- (())),<i>)),((- (())),())) is () Element of ()
- (()) is complex real ext-real Element of REAL
((- (())),()) is () set
((((()),((- (())),<i>)),((- (())),())),((- (())),())) is () Element of ()
((())) is complex real ext-real Element of REAL
((())) is complex real ext-real Element of REAL
((())) is complex real ext-real Element of REAL
((())) is complex real ext-real Element of REAL
(0,0,0,(- 1)) is () Element of ()
(<i>) is () Element of ()
(()) is () Element of ()
(()) is () Element of ()
z is () set
(z) is () Element of ()
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((z),((- (z)),<i>)) is () set
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
(((z),((- (z)),<i>)),((- (z)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
((((z),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
z2 is () set
(z,z2) is () Element of ()
((z,z2)) is () Element of ()
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
- ((z,z2)) is complex real ext-real Element of REAL
((- ((z,z2))),<i>) is () set
(((z,z2)),((- ((z,z2))),<i>)) is () set
((z,z2)) is complex real ext-real Element of REAL
- ((z,z2)) is complex real ext-real Element of REAL
((- ((z,z2))),()) is () set
((((z,z2)),((- ((z,z2))),<i>)),((- ((z,z2))),())) is () Element of ()
((z,z2)) is complex real ext-real Element of REAL
- ((z,z2)) is complex real ext-real Element of REAL
((- ((z,z2))),()) is () set
(((((z,z2)),((- ((z,z2))),<i>)),((- ((z,z2))),())),((- ((z,z2))),())) is () Element of ()
(z2) is () Element of ()
(z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
((- (z2)),<i>) is () set
((z2),((- (z2)),<i>)) is () set
(z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
((- (z2)),()) is () set
(((z2),((- (z2)),<i>)),((- (z2)),())) is () Element of ()
(z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
((- (z2)),()) is () set
((((z2),((- (z2)),<i>)),((- (z2)),())),((- (z2)),())) is () Element of ()
((z),(z2)) is () Element of ()
((z),(- (z)),(- (z)),(- (z))) is () Element of ()
((z2),(- (z2)),(- (z2)),(- (z2))) is () Element of ()
(((z,z2)),(- ((z,z2))),(- ((z,z2))),(- ((z,z2)))) is () Element of ()
(z) + (z2) is complex real ext-real Element of REAL
(- (z)) + (- (z2)) is complex real ext-real Element of REAL
(- (z)) + (- (z2)) is complex real ext-real Element of REAL
(- (z)) + (- (z2)) is complex real ext-real Element of REAL
(((z) + (z2)),((- (z)) + (- (z2))),((- (z)) + (- (z2))),((- (z)) + (- (z2)))) is () Element of ()
(z) + (z2) is complex real ext-real Element of REAL
- ((z) + (z2)) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
- ((z) + (z2)) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
- ((z) + (z2)) is complex real ext-real Element of REAL
(((z,z2)),(- ((z) + (z2))),(- ((z) + (z2))),(- ((z) + (z2)))) is () Element of ()
(((z,z2)),(- ((z,z2))),(- ((z) + (z2))),(- ((z) + (z2)))) is () Element of ()
(((z,z2)),(- ((z,z2))),(- ((z,z2))),(- ((z) + (z2)))) is () Element of ()
z is () set
(z) is () Element of ()
((z)) is () Element of ()
((z)) is complex real ext-real Element of REAL
((z)) is complex real ext-real Element of REAL
- ((z)) is complex real ext-real Element of REAL
((- ((z))),<i>) is () set
(((z)),((- ((z))),<i>)) is () set
((z)) is complex real ext-real Element of REAL
- ((z)) is complex real ext-real Element of REAL
((- ((z))),()) is () set
((((z)),((- ((z))),<i>)),((- ((z))),())) is () Element of ()
((z)) is complex real ext-real Element of REAL
- ((z)) is complex real ext-real Element of REAL
((- ((z))),()) is () set
(((((z)),((- ((z))),<i>)),((- ((z))),())),((- ((z))),())) is () Element of ()
(z) is () Element of ()
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((z),((- (z)),<i>)) is () set
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
(((z),((- (z)),<i>)),((- (z)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
((((z),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
((z)) is () Element of ()
((z),(- (z)),(- (z)),(- (z))) is () Element of ()
(((z)),(- ((z))),(- ((z))),(- ((z)))) is () Element of ()
- (z) is complex real ext-real Element of REAL
((- (z)),(- ((z))),(- ((z))),(- ((z)))) is () Element of ()
- (- (z)) is complex real ext-real Element of REAL
((- (z)),(- (- (z))),(- ((z))),(- ((z)))) is () Element of ()
- (- (z)) is complex real ext-real Element of REAL
((- (z)),(z),(- (- (z))),(- ((z)))) is () Element of ()
- (- (z)) is complex real ext-real Element of REAL
((- (z)),(z),(z),(- (- (z)))) is () Element of ()
((- (z)),(z),(z),(z)) is () Element of ()
((z),((z))) is () Element of ()
(z) + (- (z)) is complex real ext-real Element of REAL
(- (z)) + (z) is complex real ext-real Element of REAL
(- (z)) + (z) is complex real ext-real Element of REAL
(- (z)) + (z) is complex real ext-real Element of REAL
(((z) + (- (z))),((- (z)) + (z)),((- (z)) + (z)),((- (z)) + (z))) is () Element of ()
z is () set
(z) is () Element of ()
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((z),((- (z)),<i>)) is () set
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
(((z),((- (z)),<i>)),((- (z)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
((((z),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
z2 is () set
(z,z2) is () Element of ()
(z2) is () set
(z,(z2)) is () set
((z,z2)) is () Element of ()
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
- ((z,z2)) is complex real ext-real Element of REAL
((- ((z,z2))),<i>) is () set
(((z,z2)),((- ((z,z2))),<i>)) is () set
((z,z2)) is complex real ext-real Element of REAL
- ((z,z2)) is complex real ext-real Element of REAL
((- ((z,z2))),()) is () set
((((z,z2)),((- ((z,z2))),<i>)),((- ((z,z2))),())) is () Element of ()
((z,z2)) is complex real ext-real Element of REAL
- ((z,z2)) is complex real ext-real Element of REAL
((- ((z,z2))),()) is () set
(((((z,z2)),((- ((z,z2))),<i>)),((- ((z,z2))),())),((- ((z,z2))),())) is () Element of ()
(z2) is () Element of ()
(z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
((- (z2)),<i>) is () set
((z2),((- (z2)),<i>)) is () set
(z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
((- (z2)),()) is () set
(((z2),((- (z2)),<i>)),((- (z2)),())) is () Element of ()
(z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
((- (z2)),()) is () set
((((z2),((- (z2)),<i>)),((- (z2)),())),((- (z2)),())) is () Element of ()
((z),(z2)) is () Element of ()
((z2)) is () set
((z),((z2))) is () set
((z),(- (z)),(- (z)),(- (z))) is () Element of ()
(z2) is () Element of ()
((z2)) is () Element of ()
((z2)) is complex real ext-real Element of REAL
((z2)) is complex real ext-real Element of REAL
- ((z2)) is complex real ext-real Element of REAL
((- ((z2))),<i>) is () set
(((z2)),((- ((z2))),<i>)) is () set
((z2)) is complex real ext-real Element of REAL
- ((z2)) is complex real ext-real Element of REAL
((- ((z2))),()) is () set
((((z2)),((- ((z2))),<i>)),((- ((z2))),())) is () Element of ()
((z2)) is complex real ext-real Element of REAL
- ((z2)) is complex real ext-real Element of REAL
((- ((z2))),()) is () set
(((((z2)),((- ((z2))),<i>)),((- ((z2))),())),((- ((z2))),())) is () Element of ()
(((z2)),(- ((z2))),(- ((z2))),(- ((z2)))) is () Element of ()
(((z,z2)),(- ((z,z2))),(- ((z,z2))),(- ((z,z2)))) is () Element of ()
((z),((z2))) is () Element of ()
(z) + ((z2)) is complex real ext-real Element of REAL
(- (z)) + (- ((z2))) is complex real ext-real Element of REAL
(- (z)) + (- ((z2))) is complex real ext-real Element of REAL
(- (z)) + (- ((z2))) is complex real ext-real Element of REAL
(((z) + ((z2))),((- (z)) + (- ((z2)))),((- (z)) + (- ((z2)))),((- (z)) + (- ((z2))))) is () Element of ()
- (z2) is complex real ext-real Element of REAL
(z) + (- (z2)) is complex real ext-real Element of REAL
(((z) + (- (z2))),((- (z)) + (- ((z2)))),((- (z)) + (- ((z2)))),((- (z)) + (- ((z2))))) is () Element of ()
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(- (z)) - (- (z2)) is complex real ext-real Element of REAL
- (- (z2)) is complex real ext-real set
(- (z)) + (- (- (z2))) is complex real ext-real set
(((z) - (z2)),((- (z)) - (- (z2))),((- (z)) + (- ((z2)))),((- (z)) + (- ((z2))))) is () Element of ()
(- (z)) + (z2) is complex real ext-real Element of REAL
(- (z)) - (- (z2)) is complex real ext-real Element of REAL
- (- (z2)) is complex real ext-real set
(- (z)) + (- (- (z2))) is complex real ext-real set
(((z) - (z2)),((- (z)) + (z2)),((- (z)) - (- (z2))),((- (z)) + (- ((z2))))) is () Element of ()
(- (z)) + (z2) is complex real ext-real Element of REAL
(- (z)) - (- (z2)) is complex real ext-real Element of REAL
- (- (z2)) is complex real ext-real set
(- (z)) + (- (- (z2))) is complex real ext-real set
(((z) - (z2)),((- (z)) + (z2)),((- (z)) + (z2)),((- (z)) - (- (z2)))) is () Element of ()
(- (z)) + (z2) is complex real ext-real Element of REAL
(((z) - (z2)),((- (z)) + (z2)),((- (z)) + (z2)),((- (z)) + (z2))) is () Element of ()
(((z) - (z2)),(- ((z,z2))),(- ((z,z2))),(- ((z,z2)))) is () Element of ()
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
- ((z) - (z2)) is complex real ext-real Element of REAL
(((z) - (z2)),(- ((z) - (z2))),(- ((z,z2))),(- ((z,z2)))) is () Element of ()
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
- ((z) - (z2)) is complex real ext-real Element of REAL
(((z) - (z2)),((- (z)) + (z2)),(- ((z) - (z2))),(- ((z,z2)))) is () Element of ()
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
- ((z) - (z2)) is complex real ext-real Element of REAL
(((z) - (z2)),((- (z)) + (z2)),((- (z)) + (z2)),(- ((z) - (z2)))) is () Element of ()
z is () set
(z) is () Element of ()
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((z),((- (z)),<i>)) is () set
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
(((z),((- (z)),<i>)),((- (z)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
((((z),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
z2 is () set
(z,z2) is () Element of ()
((z,z2)) is () Element of ()
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
- ((z,z2)) is complex real ext-real Element of REAL
((- ((z,z2))),<i>) is () set
(((z,z2)),((- ((z,z2))),<i>)) is () set
((z,z2)) is complex real ext-real Element of REAL
- ((z,z2)) is complex real ext-real Element of REAL
((- ((z,z2))),()) is () set
((((z,z2)),((- ((z,z2))),<i>)),((- ((z,z2))),())) is () Element of ()
((z,z2)) is complex real ext-real Element of REAL
- ((z,z2)) is complex real ext-real Element of REAL
((- ((z,z2))),()) is () set
(((((z,z2)),((- ((z,z2))),<i>)),((- ((z,z2))),())),((- ((z,z2))),())) is () Element of ()
(z2) is () Element of ()
(z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
((- (z2)),<i>) is () set
((z2),((- (z2)),<i>)) is () set
(z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
((- (z2)),()) is () set
(((z2),((- (z2)),<i>)),((- (z2)),())) is () Element of ()
(z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
((- (z2)),()) is () set
((((z2),((- (z2)),<i>)),((- (z2)),())),((- (z2)),())) is () Element of ()
((z),(z2)) is () Element of ()
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z),(- (z)),(- (z)),(- (z))) is () Element of ()
((z2),(- (z2)),(- (z2)),(- (z2))) is () Element of ()
(((z,z2)),(- ((z,z2))),(- ((z,z2))),(- ((z,z2)))) is () Element of ()
(z) * (z2) is complex real ext-real Element of REAL
(- (z)) * (- (z2)) is complex real ext-real Element of REAL
((z) * (z2)) - ((- (z)) * (- (z2))) is complex real ext-real Element of REAL
- ((- (z)) * (- (z2))) is complex real ext-real set
((z) * (z2)) + (- ((- (z)) * (- (z2)))) is complex real ext-real set
(- (z)) * (- (z2)) is complex real ext-real Element of REAL
(((z) * (z2)) - ((- (z)) * (- (z2)))) - ((- (z)) * (- (z2))) is complex real ext-real Element of REAL
- ((- (z)) * (- (z2))) is complex real ext-real set
(((z) * (z2)) - ((- (z)) * (- (z2)))) + (- ((- (z)) * (- (z2)))) is complex real ext-real set
(- (z)) * (- (z2)) is complex real ext-real Element of REAL
((((z) * (z2)) - ((- (z)) * (- (z2)))) - ((- (z)) * (- (z2)))) - ((- (z)) * (- (z2))) is complex real ext-real Element of REAL
- ((- (z)) * (- (z2))) is complex real ext-real set
((((z) * (z2)) - ((- (z)) * (- (z2)))) - ((- (z)) * (- (z2)))) + (- ((- (z)) * (- (z2)))) is complex real ext-real set
(z) * (- (z2)) is complex real ext-real Element of REAL
(- (z)) * (z2) is complex real ext-real Element of REAL
((z) * (- (z2))) + ((- (z)) * (z2)) is complex real ext-real Element of REAL
(- (z)) * (- (z2)) is complex real ext-real Element of REAL
(((z) * (- (z2))) + ((- (z)) * (z2))) + ((- (z)) * (- (z2))) is complex real ext-real Element of REAL
(- (z)) * (- (z2)) is complex real ext-real Element of REAL
((((z) * (- (z2))) + ((- (z)) * (z2))) + ((- (z)) * (- (z2)))) - ((- (z)) * (- (z2))) is complex real ext-real Element of REAL
- ((- (z)) * (- (z2))) is complex real ext-real set
((((z) * (- (z2))) + ((- (z)) * (z2))) + ((- (z)) * (- (z2)))) + (- ((- (z)) * (- (z2)))) is complex real ext-real set
(z) * (- (z2)) is complex real ext-real Element of REAL
(z2) * (- (z)) is complex real ext-real Element of REAL
((z) * (- (z2))) + ((z2) * (- (z))) is complex real ext-real Element of REAL
(- (z2)) * (- (z)) is complex real ext-real Element of REAL
(((z) * (- (z2))) + ((z2) * (- (z)))) + ((- (z2)) * (- (z))) is complex real ext-real Element of REAL
(- (z2)) * (- (z)) is complex real ext-real Element of REAL
((((z) * (- (z2))) + ((z2) * (- (z)))) + ((- (z2)) * (- (z)))) - ((- (z2)) * (- (z))) is complex real ext-real Element of REAL
- ((- (z2)) * (- (z))) is complex real ext-real set
((((z) * (- (z2))) + ((z2) * (- (z)))) + ((- (z2)) * (- (z)))) + (- ((- (z2)) * (- (z)))) is complex real ext-real set
(z) * (- (z2)) is complex real ext-real Element of REAL
(- (z)) * (z2) is complex real ext-real Element of REAL
((z) * (- (z2))) + ((- (z)) * (z2)) is complex real ext-real Element of REAL
(- (z)) * (- (z2)) is complex real ext-real Element of REAL
(((z) * (- (z2))) + ((- (z)) * (z2))) + ((- (z)) * (- (z2))) is complex real ext-real Element of REAL
(- (z)) * (- (z2)) is complex real ext-real Element of REAL
((((z) * (- (z2))) + ((- (z)) * (z2))) + ((- (z)) * (- (z2)))) - ((- (z)) * (- (z2))) is complex real ext-real Element of REAL
- ((- (z)) * (- (z2))) is complex real ext-real set
((((z) * (- (z2))) + ((- (z)) * (z2))) + ((- (z)) * (- (z2)))) + (- ((- (z)) * (- (z2)))) is complex real ext-real set
((((((z) * (z2)) - ((- (z)) * (- (z2)))) - ((- (z)) * (- (z2)))) - ((- (z)) * (- (z2)))),(((((z) * (- (z2))) + ((- (z)) * (z2))) + ((- (z)) * (- (z2)))) - ((- (z)) * (- (z2)))),(((((z) * (- (z2))) + ((z2) * (- (z)))) + ((- (z2)) * (- (z)))) - ((- (z2)) * (- (z)))),(((((z) * (- (z2))) + ((- (z)) * (z2))) + ((- (z)) * (- (z2)))) - ((- (z)) * (- (z2))))) is () Element of ()
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((z) * (z2)) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
(((z) * (z2)) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(- ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
(- ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
((- ((z) * (z2))) - ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(((- ((z) * (z2))) - ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
(((- ((z) * (z2))) - ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real Element of REAL
(z2) * (z) is complex real ext-real Element of REAL
(- ((z) * (z2))) - ((z2) * (z)) is complex real ext-real Element of REAL
- ((z2) * (z)) is complex real ext-real set
(- ((z) * (z2))) + (- ((z2) * (z))) is complex real ext-real set
(z2) * (z) is complex real ext-real Element of REAL
((- ((z) * (z2))) - ((z2) * (z))) + ((z2) * (z)) is complex real ext-real Element of REAL
(z2) * (z) is complex real ext-real Element of REAL
(((- ((z) * (z2))) - ((z2) * (z))) + ((z2) * (z))) - ((z2) * (z)) is complex real ext-real Element of REAL
- ((z2) * (z)) is complex real ext-real set
(((- ((z) * (z2))) - ((z2) * (z))) + ((z2) * (z))) + (- ((z2) * (z))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(- ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
(- ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
((- ((z) * (z2))) - ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((- ((z) * (z2))) - ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
(((- ((z) * (z2))) - ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),((((- ((z) * (z2))) - ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),((((- ((z) * (z2))) - ((z2) * (z))) + ((z2) * (z))) - ((z2) * (z))),((((- ((z) * (z2))) - ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)))) is () Element of ()
((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),(- ((z,z2))),(- ((z,z2))),(- ((z,z2)))) is () Element of ()
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
- (((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) is complex real ext-real Element of REAL
((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),(- (((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)))),(- ((z,z2))),(- ((z,z2)))) is () Element of ()
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
- (((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) is complex real ext-real Element of REAL
((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),(- (((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)))),(- (((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)))),(- ((z,z2)))) is () Element of ()
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
- (((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) is complex real ext-real Element of REAL
((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),(- (((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)))),(- (((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)))),(- (((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))))) is () Element of ()
((- ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((- ((z) * (z2))) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(((- ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(- ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
(- ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
((- ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((- ((z) * (z2))) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(((- ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
((- ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((- ((z) * (z2))) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(((- ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),((((- ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))) + ((z) * (z2))),((((- ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))) + ((z) * (z2))),((((- ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))) + ((z) * (z2)))) is () Element of ()
(((z),(z2))) is complex real ext-real Element of REAL
(((z,z2))) is complex real ext-real Element of REAL
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((z),((- (z)),<i>)) is () set
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
(((z),((- (z)),<i>)),((- (z)),())) is () Element of ()
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
((((z),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
((z),0,0,0) is () Element of ()
[*(z),0*] is complex Element of COMPLEX
z is () set
(z) is complex real ext-real Element of REAL
(z) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((z),((- (z)),<i>)) is () set
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
(((z),((- (z)),<i>)),((- (z)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
((((z),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
(z) is () Element of ()
- (z) is complex real ext-real Element of REAL
((- (z)),((- (z)),<i>)) is () set
(((- (z)),((- (z)),<i>)),((- (z)),())) is () Element of ()
((((- (z)),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
z is () set
(z) is () Element of ()
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((z),((- (z)),<i>)) is () set
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
(((z),((- (z)),<i>)),((- (z)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
((((z),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
(z,(z)) is () Element of ()
((z,(z))) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
((z,(z))) is complex real ext-real Element of REAL
((z,(z))) is complex real ext-real Element of REAL
((z,(z))) is complex real ext-real Element of REAL
((z),(z),(z),(z)) is () Element of ()
((z),(- (z)),(- (z)),(- (z))) is () Element of ()
(z) * (z) is complex real ext-real Element of REAL
(z) * (- (z)) is complex real ext-real Element of REAL
((z) * (z)) - ((z) * (- (z))) is complex real ext-real Element of REAL
- ((z) * (- (z))) is complex real ext-real set
((z) * (z)) + (- ((z) * (- (z)))) is complex real ext-real set
(z) * (- (z)) is complex real ext-real Element of REAL
(((z) * (z)) - ((z) * (- (z)))) - ((z) * (- (z))) is complex real ext-real Element of REAL
- ((z) * (- (z))) is complex real ext-real set
(((z) * (z)) - ((z) * (- (z)))) + (- ((z) * (- (z)))) is complex real ext-real set
(z) * (- (z)) is complex real ext-real Element of REAL
((((z) * (z)) - ((z) * (- (z)))) - ((z) * (- (z)))) - ((z) * (- (z))) is complex real ext-real Element of REAL
- ((z) * (- (z))) is complex real ext-real set
((((z) * (z)) - ((z) * (- (z)))) - ((z) * (- (z)))) + (- ((z) * (- (z)))) is complex real ext-real set
(z) * (- (z)) is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real Element of REAL
((z) * (- (z))) + ((z) * (z)) is complex real ext-real Element of REAL
(z) * (- (z)) is complex real ext-real Element of REAL
(((z) * (- (z))) + ((z) * (z))) + ((z) * (- (z))) is complex real ext-real Element of REAL
(z) * (- (z)) is complex real ext-real Element of REAL
((((z) * (- (z))) + ((z) * (z))) + ((z) * (- (z)))) - ((z) * (- (z))) is complex real ext-real Element of REAL
- ((z) * (- (z))) is complex real ext-real set
((((z) * (- (z))) + ((z) * (z))) + ((z) * (- (z)))) + (- ((z) * (- (z)))) is complex real ext-real set
(z) * (- (z)) is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real Element of REAL
((z) * (- (z))) + ((z) * (z)) is complex real ext-real Element of REAL
(- (z)) * (z) is complex real ext-real Element of REAL
(((z) * (- (z))) + ((z) * (z))) + ((- (z)) * (z)) is complex real ext-real Element of REAL
(- (z)) * (z) is complex real ext-real Element of REAL
((((z) * (- (z))) + ((z) * (z))) + ((- (z)) * (z))) - ((- (z)) * (z)) is complex real ext-real Element of REAL
- ((- (z)) * (z)) is complex real ext-real set
((((z) * (- (z))) + ((z) * (z))) + ((- (z)) * (z))) + (- ((- (z)) * (z))) is complex real ext-real set
(z) * (- (z)) is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real Element of REAL
((z) * (- (z))) + ((z) * (z)) is complex real ext-real Element of REAL
(z) * (- (z)) is complex real ext-real Element of REAL
(((z) * (- (z))) + ((z) * (z))) + ((z) * (- (z))) is complex real ext-real Element of REAL
(z) * (- (z)) is complex real ext-real Element of REAL
((((z) * (- (z))) + ((z) * (z))) + ((z) * (- (z)))) - ((z) * (- (z))) is complex real ext-real Element of REAL
- ((z) * (- (z))) is complex real ext-real set
((((z) * (- (z))) + ((z) * (z))) + ((z) * (- (z)))) + (- ((z) * (- (z)))) is complex real ext-real set
((((((z) * (z)) - ((z) * (- (z)))) - ((z) * (- (z)))) - ((z) * (- (z)))),(((((z) * (- (z))) + ((z) * (z))) + ((z) * (- (z)))) - ((z) * (- (z)))),(((((z) * (- (z))) + ((z) * (z))) + ((- (z)) * (z))) - ((- (z)) * (z))),(((((z) * (- (z))) + ((z) * (z))) + ((z) * (- (z)))) - ((z) * (- (z))))) is () Element of ()
((((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)),0,0,0) is () Element of ()
z is () set
(z) is () Element of ()
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((z),((- (z)),<i>)) is () set
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
(((z),((- (z)),<i>)),((- (z)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
((((z),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
(z,(z)) is () Element of ()
((z,(z))) is complex real ext-real Element of REAL
2 * (z) is complex real ext-real Element of REAL
((z,(z))) is complex real ext-real Element of REAL
((z,(z))) is complex real ext-real Element of REAL
((z,(z))) is complex real ext-real Element of REAL
((z),(z),(z),(z)) is () Element of ()
((z),(- (z)),(- (z)),(- (z))) is () Element of ()
(z) + (z) is complex real ext-real Element of REAL
(z) + (- (z)) is complex real ext-real Element of REAL
(z) + (- (z)) is complex real ext-real Element of REAL
(z) + (- (z)) is complex real ext-real Element of REAL
(((z) + (z)),((z) + (- (z))),((z) + (- (z))),((z) + (- (z)))) is () Element of ()
((2 * (z)),0,0,0) is () Element of ()
z is () set
(z) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),(- (z)),(- (z)),(- (z))) is () Element of ()
((z),(z),(z),(z)) is () Element of ()
(z,((- (z)),(- (z)),(- (z)),(- (z)))) is () Element of ()
(z) + (- (z)) is complex real ext-real Element of REAL
(z) + (- (z)) is complex real ext-real Element of REAL
(z) + (- (z)) is complex real ext-real Element of REAL
(z) + (- (z)) is complex real ext-real Element of REAL
(((z) + (- (z))),((z) + (- (z))),((z) + (- (z))),((z) + (- (z)))) is () Element of ()
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
z2 is () set
(z,z2) is () Element of ()
(z2) is () set
(z,(z2)) is () set
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(((z) - (z2)),((z) - (z2)),((z) - (z2)),((z) - (z2))) is () Element of ()
((z),(z),(z),(z)) is () Element of ()
((z2),(z2),(z2),(z2)) is () Element of ()
- (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
((- (z2)),(- (z2)),(- (z2)),(- (z2))) is () Element of ()
(z2,((- (z2)),(- (z2)),(- (z2)),(- (z2)))) is () Element of ()
(z2) + (- (z2)) is complex real ext-real Element of REAL
(z2) + (- (z2)) is complex real ext-real Element of REAL
(z2) + (- (z2)) is complex real ext-real Element of REAL
(z2) + (- (z2)) is complex real ext-real Element of REAL
(((z2) + (- (z2))),((z2) + (- (z2))),((z2) + (- (z2))),((z2) + (- (z2)))) is () Element of ()
(z2) is () Element of ()
z is () set
(z) is () Element of ()
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((z),((- (z)),<i>)) is () set
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
(((z),((- (z)),<i>)),((- (z)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
((((z),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
(z,(z)) is () Element of ()
((z)) is () set
(z,((z))) is () set
((z,(z))) is complex real ext-real Element of REAL
((z,(z))) is complex real ext-real Element of REAL
2 * (z) is complex real ext-real Element of REAL
((z,(z))) is complex real ext-real Element of REAL
2 * (z) is complex real ext-real Element of REAL
((z,(z))) is complex real ext-real Element of REAL
2 * (z) is complex real ext-real Element of REAL
((z),(z),(z),(z)) is () Element of ()
((z),(- (z)),(- (z)),(- (z))) is () Element of ()
((z)) is complex real ext-real Element of REAL
((z)) is complex real ext-real Element of REAL
((z)) is complex real ext-real Element of REAL
((z)) is () Element of ()
((z)) is complex real ext-real Element of REAL
- ((z)) is complex real ext-real Element of REAL
- ((z)) is complex real ext-real Element of REAL
- ((z)) is complex real ext-real Element of REAL
- ((z)) is complex real ext-real Element of REAL
((- ((z))),(- ((z))),(- ((z))),(- ((z)))) is () Element of ()
- (z) is complex real ext-real Element of REAL
((- (z)),(z),(z),(z)) is () Element of ()
(z) + (- (z)) is complex real ext-real Element of REAL
(z) + (z) is complex real ext-real Element of REAL
(z) + (z) is complex real ext-real Element of REAL
(z) + (z) is complex real ext-real Element of REAL
(((z) + (- (z))),((z) + (z)),((z) + (z)),((z) + (z))) is () Element of ()
(0,(2 * (z)),(2 * (z)),(2 * (z))) is () Element of ()
z is () set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) is complex real ext-real Element of REAL
(()) is complex real ext-real set
(()) is complex real ext-real Element of REAL
(()) ^2 is complex real ext-real Element of REAL
(()) * (()) is complex real ext-real set
(()) is complex real ext-real Element of REAL
(()) ^2 is complex real ext-real Element of REAL
(()) * (()) is complex real ext-real set
((()) ^2) + ((()) ^2) is complex real ext-real Element of REAL
(()) is complex real ext-real Element of REAL
(()) ^2 is complex real ext-real Element of REAL
(()) * (()) is complex real ext-real set
(((()) ^2) + ((()) ^2)) + ((()) ^2) is complex real ext-real Element of REAL
(()) is complex real ext-real Element of REAL
(()) ^2 is complex real ext-real Element of REAL
(()) * (()) is complex real ext-real set
((((()) ^2) + ((()) ^2)) + ((()) ^2)) + ((()) ^2) is complex real ext-real Element of REAL
sqrt (((((()) ^2) + ((()) ^2)) + ((()) ^2)) + ((()) ^2)) is complex real ext-real Element of REAL
z is () set
(z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) is complex real ext-real Element of REAL
z is () set
(z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) is complex real ext-real Element of REAL
(()) is complex real ext-real set
(()) ^2 is complex real ext-real Element of REAL
(()) * (()) is complex real ext-real set
(()) ^2 is complex real ext-real Element of REAL
(()) * (()) is complex real ext-real set
((()) ^2) + ((()) ^2) is complex real ext-real Element of REAL
(()) ^2 is complex real ext-real Element of REAL
(()) * (()) is complex real ext-real set
(((()) ^2) + ((()) ^2)) + ((()) ^2) is complex real ext-real Element of REAL
(()) ^2 is complex real ext-real Element of REAL
(()) * (()) is complex real ext-real set
((((()) ^2) + ((()) ^2)) + ((()) ^2)) + ((()) ^2) is complex real ext-real Element of REAL
sqrt (((((()) ^2) + ((()) ^2)) + ((()) ^2)) + ((()) ^2)) is complex real ext-real Element of REAL
(<i>) is complex real ext-real set
(<i>) ^2 is complex real ext-real Element of REAL
(<i>) * (<i>) is complex real ext-real set
(<i>) ^2 is complex real ext-real Element of REAL
(<i>) * (<i>) is complex real ext-real set
((<i>) ^2) + ((<i>) ^2) is complex real ext-real Element of REAL
(<i>) ^2 is complex real ext-real Element of REAL
(<i>) * (<i>) is complex real ext-real set
(((<i>) ^2) + ((<i>) ^2)) + ((<i>) ^2) is complex real ext-real Element of REAL
(<i>) ^2 is complex real ext-real Element of REAL
(<i>) * (<i>) is complex real ext-real set
((((<i>) ^2) + ((<i>) ^2)) + ((<i>) ^2)) + ((<i>) ^2) is complex real ext-real Element of REAL
sqrt (((((<i>) ^2) + ((<i>) ^2)) + ((<i>) ^2)) + ((<i>) ^2)) is complex real ext-real Element of REAL
(()) is complex real ext-real set
(()) ^2 is complex real ext-real Element of REAL
(()) * (()) is complex real ext-real set
(()) ^2 is complex real ext-real Element of REAL
(()) * (()) is complex real ext-real set
((()) ^2) + ((()) ^2) is complex real ext-real Element of REAL
(()) ^2 is complex real ext-real Element of REAL
(()) * (()) is complex real ext-real set
(((()) ^2) + ((()) ^2)) + ((()) ^2) is complex real ext-real Element of REAL
(()) ^2 is complex real ext-real Element of REAL
(()) * (()) is complex real ext-real set
((((()) ^2) + ((()) ^2)) + ((()) ^2)) + ((()) ^2) is complex real ext-real Element of REAL
sqrt (((((()) ^2) + ((()) ^2)) + ((()) ^2)) + ((()) ^2)) is complex real ext-real Element of REAL
(()) is complex real ext-real set
(()) ^2 is complex real ext-real Element of REAL
(()) * (()) is complex real ext-real set
(()) ^2 is complex real ext-real Element of REAL
(()) * (()) is complex real ext-real set
((()) ^2) + ((()) ^2) is complex real ext-real Element of REAL
(()) ^2 is complex real ext-real Element of REAL
(()) * (()) is complex real ext-real set
(((()) ^2) + ((()) ^2)) + ((()) ^2) is complex real ext-real Element of REAL
(()) ^2 is complex real ext-real Element of REAL
(()) * (()) is complex real ext-real set
((((()) ^2) + ((()) ^2)) + ((()) ^2)) + ((()) ^2) is complex real ext-real Element of REAL
sqrt (((((()) ^2) + ((()) ^2)) + ((()) ^2)) + ((()) ^2)) is complex real ext-real Element of REAL
z is () set
(z) is () Element of ()
((z)) is complex real ext-real set
((z)) is complex real ext-real Element of REAL
((z)) ^2 is complex real ext-real Element of REAL
((z)) * ((z)) is complex real ext-real set
((z)) is complex real ext-real Element of REAL
((z)) ^2 is complex real ext-real Element of REAL
((z)) * ((z)) is complex real ext-real set
(((z)) ^2) + (((z)) ^2) is complex real ext-real Element of REAL
((z)) is complex real ext-real Element of REAL
((z)) ^2 is complex real ext-real Element of REAL
((z)) * ((z)) is complex real ext-real set
((((z)) ^2) + (((z)) ^2)) + (((z)) ^2) is complex real ext-real Element of REAL
((z)) is complex real ext-real Element of REAL
((z)) ^2 is complex real ext-real Element of REAL
((z)) * ((z)) is complex real ext-real set
(((((z)) ^2) + (((z)) ^2)) + (((z)) ^2)) + (((z)) ^2) is complex real ext-real Element of REAL
sqrt ((((((z)) ^2) + (((z)) ^2)) + (((z)) ^2)) + (((z)) ^2)) is complex real ext-real Element of REAL
(z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),(- (z)),(- (z)),(- (z))) is () Element of ()
z is () set
(z) is () Element of ()
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((z),((- (z)),<i>)) is () set
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
(((z),((- (z)),<i>)),((- (z)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
((((z),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
((z)) is complex real ext-real set
((z)) is complex real ext-real Element of REAL
((z)) ^2 is complex real ext-real Element of REAL
((z)) * ((z)) is complex real ext-real set
((z)) is complex real ext-real Element of REAL
((z)) ^2 is complex real ext-real Element of REAL
((z)) * ((z)) is complex real ext-real set
(((z)) ^2) + (((z)) ^2) is complex real ext-real Element of REAL
((z)) is complex real ext-real Element of REAL
((z)) ^2 is complex real ext-real Element of REAL
((z)) * ((z)) is complex real ext-real set
((((z)) ^2) + (((z)) ^2)) + (((z)) ^2) is complex real ext-real Element of REAL
((z)) is complex real ext-real Element of REAL
((z)) ^2 is complex real ext-real Element of REAL
((z)) * ((z)) is complex real ext-real set
(((((z)) ^2) + (((z)) ^2)) + (((z)) ^2)) + (((z)) ^2) is complex real ext-real Element of REAL
sqrt ((((((z)) ^2) + (((z)) ^2)) + (((z)) ^2)) + (((z)) ^2)) is complex real ext-real Element of REAL
(z) is complex real ext-real set
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) is complex real ext-real Element of REAL
((z),(- (z)),(- (z)),(- (z))) is () Element of ()
z is complex real ext-real set
z ^2 is complex real ext-real set
z * z is complex real ext-real set
z2 is complex real ext-real set
z2 ^2 is complex real ext-real set
z2 * z2 is complex real ext-real set
(z ^2) + (z2 ^2) is complex real ext-real set
m1 is complex real ext-real set
m1 ^2 is complex real ext-real set
m1 * m1 is complex real ext-real set
((z ^2) + (z2 ^2)) + (m1 ^2) is complex real ext-real set
m2 is complex real ext-real set
m2 ^2 is complex real ext-real set
m2 * m2 is complex real ext-real set
(((z ^2) + (z2 ^2)) + (m1 ^2)) + (m2 ^2) is complex real ext-real set
z is complex real ext-real Element of REAL
z ^2 is complex real ext-real Element of REAL
z * z is complex real ext-real set
z2 is complex real ext-real Element of REAL
z2 ^2 is complex real ext-real Element of REAL
z2 * z2 is complex real ext-real set
(z ^2) + (z2 ^2) is complex real ext-real Element of REAL
m1 is complex real ext-real Element of REAL
m1 ^2 is complex real ext-real Element of REAL
m1 * m1 is complex real ext-real set
((z ^2) + (z2 ^2)) + (m1 ^2) is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m2 ^2 is complex real ext-real Element of REAL
m2 * m2 is complex real ext-real set
(((z ^2) + (z2 ^2)) + (m1 ^2)) + (m2 ^2) is complex real ext-real Element of REAL
0 + (z ^2) is complex real ext-real Element of REAL
m1 is complex real ext-real set
m1 ^2 is complex real ext-real set
m1 * m1 is complex real ext-real set
z is complex real ext-real set
z ^2 is complex real ext-real set
z * z is complex real ext-real set
z2 is complex real ext-real set
z2 ^2 is complex real ext-real set
z2 * z2 is complex real ext-real set
(z ^2) + (z2 ^2) is complex real ext-real set
((z ^2) + (z2 ^2)) + (m1 ^2) is complex real ext-real set
m2 is complex real ext-real set
m2 ^2 is complex real ext-real set
m2 * m2 is complex real ext-real set
(((z ^2) + (z2 ^2)) + (m1 ^2)) + (m2 ^2) is complex real ext-real set
(z ^2) + (m1 ^2) is complex real ext-real set
0 + (m1 ^2) is complex real ext-real Element of REAL
((z ^2) + (m1 ^2)) + (z2 ^2) is complex real ext-real set
z is complex real ext-real Element of REAL
z ^2 is complex real ext-real Element of REAL
z * z is complex real ext-real set
z2 is complex real ext-real Element of REAL
z2 ^2 is complex real ext-real Element of REAL
z2 * z2 is complex real ext-real set
m1 is complex real ext-real Element of REAL
m1 ^2 is complex real ext-real Element of REAL
m1 * m1 is complex real ext-real set
(z2 ^2) + (m1 ^2) is complex real ext-real Element of REAL
m2 is complex real ext-real Element of REAL
m2 ^2 is complex real ext-real Element of REAL
m2 * m2 is complex real ext-real set
((z2 ^2) + (m1 ^2)) + (m2 ^2) is complex real ext-real Element of REAL
(((z2 ^2) + (m1 ^2)) + (m2 ^2)) + (z ^2) is complex real ext-real Element of REAL
(z2 ^2) + (z ^2) is complex real ext-real Element of REAL
0 + (z ^2) is complex real ext-real Element of REAL
((z2 ^2) + (z ^2)) + (m2 ^2) is complex real ext-real Element of REAL
(m1 ^2) + (((z2 ^2) + (z ^2)) + (m2 ^2)) is complex real ext-real Element of REAL
z is complex real ext-real Element of REAL
sqrt z is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
z2 ^2 is complex real ext-real Element of REAL
z2 * z2 is complex real ext-real set
sqrt (z2 ^2) is complex real ext-real Element of REAL
- z2 is complex real ext-real Element of REAL
n1 is complex real ext-real set
z is complex real ext-real set
n2 is complex real ext-real set
z2 is complex real ext-real set
n3 is complex real ext-real set
m1 is complex real ext-real set
n4 is complex real ext-real set
m2 is complex real ext-real set
b1 is complex real ext-real set
m3 is complex real ext-real set
b2 is complex real ext-real set
m4 is complex real ext-real set
n1 + n2 is complex real ext-real set
(n1 + n2) + n3 is complex real ext-real set
((n1 + n2) + n3) + n4 is complex real ext-real set
(((n1 + n2) + n3) + n4) + b1 is complex real ext-real set
((((n1 + n2) + n3) + n4) + b1) + b2 is complex real ext-real set
z + z2 is complex real ext-real set
(z + z2) + m1 is complex real ext-real set
((z + z2) + m1) + m2 is complex real ext-real set
(((z + z2) + m1) + m2) + m3 is complex real ext-real set
((((z + z2) + m1) + m2) + m3) + m4 is complex real ext-real set
n3 + n4 is complex real ext-real set
m1 + m2 is complex real ext-real set
b1 + b2 is complex real ext-real set
m3 + m4 is complex real ext-real set
(n1 + n2) + (n3 + n4) is complex real ext-real set
(z + z2) + (m1 + m2) is complex real ext-real set
((n1 + n2) + (n3 + n4)) + (b1 + b2) is complex real ext-real set
((z + z2) + (m1 + m2)) + (m3 + m4) is complex real ext-real set
z is complex real ext-real Element of REAL
z ^2 is complex real ext-real Element of REAL
z * z is complex real ext-real set
z2 is complex real ext-real Element of REAL
z2 ^2 is complex real ext-real Element of REAL
z2 * z2 is complex real ext-real set
sqrt (z2 ^2) is complex real ext-real Element of REAL
sqrt (z ^2) is complex real ext-real Element of REAL
z is complex real ext-real set
z ^2 is complex real ext-real set
z * z is complex real ext-real set
z2 is complex real ext-real set
z2 ^2 is complex real ext-real set
z2 * z2 is complex real ext-real set
(z ^2) + (z2 ^2) is complex real ext-real set
m2 is complex real ext-real set
m2 ^2 is complex real ext-real set
m2 * m2 is complex real ext-real set
((z ^2) + (z2 ^2)) + (m2 ^2) is complex real ext-real set
m1 is complex real ext-real set
m1 ^2 is complex real ext-real set
m1 * m1 is complex real ext-real set
(((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2) is complex real ext-real set
sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)) is complex real ext-real set
m3 is complex real ext-real set
m3 ^2 is complex real ext-real set
m3 * m3 is complex real ext-real set
m4 is complex real ext-real set
m4 ^2 is complex real ext-real set
m4 * m4 is complex real ext-real set
(m3 ^2) + (m4 ^2) is complex real ext-real set
n1 is complex real ext-real set
n1 ^2 is complex real ext-real set
n1 * n1 is complex real ext-real set
((m3 ^2) + (m4 ^2)) + (n1 ^2) is complex real ext-real set
n2 is complex real ext-real set
n2 ^2 is complex real ext-real set
n2 * n2 is complex real ext-real set
(((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2) is complex real ext-real set
sqrt ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2)) is complex real ext-real set
(sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2))) + (sqrt ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2))) is complex real ext-real set
((sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2))) + (sqrt ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2)))) ^2 is complex real ext-real set
((sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2))) + (sqrt ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2)))) * ((sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2))) + (sqrt ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2)))) is complex real ext-real set
((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)) + (m3 ^2) is complex real ext-real set
(((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)) + (m3 ^2)) + (m4 ^2) is complex real ext-real set
((((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)) + (m3 ^2)) + (m4 ^2)) + (n1 ^2) is complex real ext-real set
(((((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)) + (m3 ^2)) + (m4 ^2)) + (n1 ^2)) + (n2 ^2) is complex real ext-real set
((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)) * ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2)) is complex real ext-real set
sqrt (((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)) * ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2))) is complex real ext-real set
2 * (sqrt (((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)) * ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2)))) is complex real ext-real Element of REAL
((((((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)) + (m3 ^2)) + (m4 ^2)) + (n1 ^2)) + (n2 ^2)) + (2 * (sqrt (((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)) * ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2))))) is complex real ext-real Element of REAL
(sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2))) ^2 is complex real ext-real set
(sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2))) * (sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2))) is complex real ext-real set
2 * (sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2))) is complex real ext-real Element of REAL
(2 * (sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)))) * (sqrt ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2))) is complex real ext-real Element of REAL
((sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2))) ^2) + ((2 * (sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)))) * (sqrt ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2)))) is complex real ext-real Element of REAL
(sqrt ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2))) ^2 is complex real ext-real set
(sqrt ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2))) * (sqrt ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2))) is complex real ext-real set
(((sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2))) ^2) + ((2 * (sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)))) * (sqrt ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2))))) + ((sqrt ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2))) ^2) is complex real ext-real Element of REAL
((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)) + ((2 * (sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)))) * (sqrt ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2)))) is complex real ext-real Element of REAL
(((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)) + ((2 * (sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)))) * (sqrt ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2))))) + ((sqrt ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2))) ^2) is complex real ext-real Element of REAL
(sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2))) * (sqrt ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2))) is complex real ext-real set
2 * ((sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2))) * (sqrt ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2)))) is complex real ext-real Element of REAL
((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)) + (2 * ((sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2))) * (sqrt ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2))))) is complex real ext-real Element of REAL
(((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)) + (2 * ((sqrt ((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2))) * (sqrt ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2)))))) + ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2)) is complex real ext-real Element of REAL
((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)) + (2 * (sqrt (((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)) * ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2))))) is complex real ext-real Element of REAL
(((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)) + (2 * (sqrt (((((z ^2) + (z2 ^2)) + (m2 ^2)) + (m1 ^2)) * ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2)))))) + ((((m3 ^2) + (m4 ^2)) + (n1 ^2)) + (n2 ^2)) is complex real ext-real Element of REAL
z is complex real ext-real set
m3 is complex real ext-real set
z + m3 is complex real ext-real set
(z + m3) ^2 is complex real ext-real set
(z + m3) * (z + m3) is complex real ext-real set
z2 is complex real ext-real set
m4 is complex real ext-real set
z2 + m4 is complex real ext-real set
(z2 + m4) ^2 is complex real ext-real set
(z2 + m4) * (z2 + m4) is complex real ext-real set
((z + m3) ^2) + ((z2 + m4) ^2) is complex real ext-real set
m1 is complex real ext-real set
n1 is complex real ext-real set
m1 + n1 is complex real ext-real set
(m1 + n1) ^2 is complex real ext-real set
(m1 + n1) * (m1 + n1) is complex real ext-real set
(((z + m3) ^2) + ((z2 + m4) ^2)) + ((m1 + n1) ^2) is complex real ext-real set
m2 is complex real ext-real set
n2 is complex real ext-real set
m2 + n2 is complex real ext-real set
(m2 + n2) ^2 is complex real ext-real set
(m2 + n2) * (m2 + n2) is complex real ext-real set
((((z + m3) ^2) + ((z2 + m4) ^2)) + ((m1 + n1) ^2)) + ((m2 + n2) ^2) is complex real ext-real set
sqrt (((((z + m3) ^2) + ((z2 + m4) ^2)) + ((m1 + n1) ^2)) + ((m2 + n2) ^2)) is complex real ext-real set
(sqrt (((((z + m3) ^2) + ((z2 + m4) ^2)) + ((m1 + n1) ^2)) + ((m2 + n2) ^2))) ^2 is complex real ext-real set
(sqrt (((((z + m3) ^2) + ((z2 + m4) ^2)) + ((m1 + n1) ^2)) + ((m2 + n2) ^2))) * (sqrt (((((z + m3) ^2) + ((z2 + m4) ^2)) + ((m1 + n1) ^2)) + ((m2 + n2) ^2))) is complex real ext-real set
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real set
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) is complex real ext-real Element of REAL
sqrt ((z) ^2) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) is complex real ext-real Element of REAL
sqrt ((z) ^2) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) is complex real ext-real Element of REAL
sqrt ((z) ^2) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) is complex real ext-real Element of REAL
sqrt ((z) ^2) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
z is () set
(z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) is complex real ext-real Element of REAL
z2 is () set
(z,z2) is () Element of ()
((z,z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
(((z,z2)) ^2) + (((z,z2)) ^2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
(((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2)) + (((z,z2)) ^2) is complex real ext-real Element of REAL
sqrt ((((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2)) + (((z,z2)) ^2)) is complex real ext-real Element of REAL
(z2) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
((z2) ^2) + ((z2) ^2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
(((z2) ^2) + ((z2) ^2)) + ((z2) ^2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2) is complex real ext-real Element of REAL
sqrt (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2)) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real set
(sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2))) + (sqrt (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2))) is complex real ext-real Element of REAL
((sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2))) + (sqrt (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2)))) ^2 is complex real ext-real Element of REAL
((sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2))) + (sqrt (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2)))) * ((sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2))) + (sqrt (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2)))) is complex real ext-real set
(((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) + ((z2) ^2) is complex real ext-real Element of REAL
((((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) + ((z2) ^2)) + ((z2) ^2) is complex real ext-real Element of REAL
(((((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2) is complex real ext-real Element of REAL
((((((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2) is complex real ext-real Element of REAL
(((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) * (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2)) is complex real ext-real Element of REAL
sqrt ((((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) * (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2))) is complex real ext-real Element of REAL
2 * (sqrt ((((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) * (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2)))) is complex real ext-real Element of REAL
(((((((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2)) + (2 * (sqrt ((((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) * (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2))))) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
((z) + (z2)) ^2 is complex real ext-real Element of REAL
((z) + (z2)) * ((z) + (z2)) is complex real ext-real set
(z) + (z2) is complex real ext-real Element of REAL
((z) + (z2)) ^2 is complex real ext-real Element of REAL
((z) + (z2)) * ((z) + (z2)) is complex real ext-real set
(((z) + (z2)) ^2) + (((z) + (z2)) ^2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
((z) + (z2)) ^2 is complex real ext-real Element of REAL
((z) + (z2)) * ((z) + (z2)) is complex real ext-real set
((((z) + (z2)) ^2) + (((z) + (z2)) ^2)) + (((z) + (z2)) ^2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
((z) + (z2)) ^2 is complex real ext-real Element of REAL
((z) + (z2)) * ((z) + (z2)) is complex real ext-real set
(((((z) + (z2)) ^2) + (((z) + (z2)) ^2)) + (((z) + (z2)) ^2)) + (((z) + (z2)) ^2) is complex real ext-real Element of REAL
sqrt ((((((z) + (z2)) ^2) + (((z) + (z2)) ^2)) + (((z) + (z2)) ^2)) + (((z) + (z2)) ^2)) is complex real ext-real Element of REAL
(sqrt ((((((z) + (z2)) ^2) + (((z) + (z2)) ^2)) + (((z) + (z2)) ^2)) + (((z) + (z2)) ^2))) ^2 is complex real ext-real Element of REAL
(sqrt ((((((z) + (z2)) ^2) + (((z) + (z2)) ^2)) + (((z) + (z2)) ^2)) + (((z) + (z2)) ^2))) * (sqrt ((((((z) + (z2)) ^2) + (((z) + (z2)) ^2)) + (((z) + (z2)) ^2)) + (((z) + (z2)) ^2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
2 * ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(2 * ((z) * (z2))) * ((z) * (z2)) is complex real ext-real Element of REAL
((z) * (z2)) ^2 is complex real ext-real Element of REAL
((z) * (z2)) * ((z) * (z2)) is complex real ext-real set
((z) * (z2)) ^2 is complex real ext-real Element of REAL
((z) * (z2)) * ((z) * (z2)) is complex real ext-real set
(((z) * (z2)) ^2) + (((z) * (z2)) ^2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
2 * ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(2 * ((z) * (z2))) * ((z) * (z2)) is complex real ext-real Element of REAL
((z) * (z2)) ^2 is complex real ext-real Element of REAL
((z) * (z2)) * ((z) * (z2)) is complex real ext-real set
((z) * (z2)) ^2 is complex real ext-real Element of REAL
((z) * (z2)) * ((z) * (z2)) is complex real ext-real set
(((z) * (z2)) ^2) + (((z) * (z2)) ^2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
2 * ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(2 * ((z) * (z2))) * ((z) * (z2)) is complex real ext-real Element of REAL
((z) * (z2)) ^2 is complex real ext-real Element of REAL
((z) * (z2)) * ((z) * (z2)) is complex real ext-real set
((z) * (z2)) ^2 is complex real ext-real Element of REAL
((z) * (z2)) * ((z) * (z2)) is complex real ext-real set
(((z) * (z2)) ^2) + (((z) * (z2)) ^2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
2 * ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(2 * ((z) * (z2))) * ((z) * (z2)) is complex real ext-real Element of REAL
((z) * (z2)) ^2 is complex real ext-real Element of REAL
((z) * (z2)) * ((z) * (z2)) is complex real ext-real set
((z) * (z2)) ^2 is complex real ext-real Element of REAL
((z) * (z2)) * ((z) * (z2)) is complex real ext-real set
(((z) * (z2)) ^2) + (((z) * (z2)) ^2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
2 * ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(2 * ((z) * (z2))) * ((z) * (z2)) is complex real ext-real Element of REAL
((z) * (z2)) ^2 is complex real ext-real Element of REAL
((z) * (z2)) * ((z) * (z2)) is complex real ext-real set
((z) * (z2)) ^2 is complex real ext-real Element of REAL
((z) * (z2)) * ((z) * (z2)) is complex real ext-real set
(((z) * (z2)) ^2) + (((z) * (z2)) ^2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
2 * ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(2 * ((z) * (z2))) * ((z) * (z2)) is complex real ext-real Element of REAL
((z) * (z2)) ^2 is complex real ext-real Element of REAL
((z) * (z2)) * ((z) * (z2)) is complex real ext-real set
((z) * (z2)) ^2 is complex real ext-real Element of REAL
((z) * (z2)) * ((z) * (z2)) is complex real ext-real set
(((z) * (z2)) ^2) + (((z) * (z2)) ^2) is complex real ext-real Element of REAL
((2 * ((z) * (z2))) * ((z) * (z2))) + ((2 * ((z) * (z2))) * ((z) * (z2))) is complex real ext-real Element of REAL
(((2 * ((z) * (z2))) * ((z) * (z2))) + ((2 * ((z) * (z2))) * ((z) * (z2)))) + ((2 * ((z) * (z2))) * ((z) * (z2))) is complex real ext-real Element of REAL
((((2 * ((z) * (z2))) * ((z) * (z2))) + ((2 * ((z) * (z2))) * ((z) * (z2)))) + ((2 * ((z) * (z2))) * ((z) * (z2)))) + ((2 * ((z) * (z2))) * ((z) * (z2))) is complex real ext-real Element of REAL
(((((2 * ((z) * (z2))) * ((z) * (z2))) + ((2 * ((z) * (z2))) * ((z) * (z2)))) + ((2 * ((z) * (z2))) * ((z) * (z2)))) + ((2 * ((z) * (z2))) * ((z) * (z2)))) + ((2 * ((z) * (z2))) * ((z) * (z2))) is complex real ext-real Element of REAL
((((((2 * ((z) * (z2))) * ((z) * (z2))) + ((2 * ((z) * (z2))) * ((z) * (z2)))) + ((2 * ((z) * (z2))) * ((z) * (z2)))) + ((2 * ((z) * (z2))) * ((z) * (z2)))) + ((2 * ((z) * (z2))) * ((z) * (z2)))) + ((2 * ((z) * (z2))) * ((z) * (z2))) is complex real ext-real Element of REAL
((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + ((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) is complex real ext-real Element of REAL
(((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + ((((z) * (z2)) ^2) + (((z) * (z2)) ^2))) + ((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) is complex real ext-real Element of REAL
((((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + ((((z) * (z2)) ^2) + (((z) * (z2)) ^2))) + ((((z) * (z2)) ^2) + (((z) * (z2)) ^2))) + ((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) is complex real ext-real Element of REAL
(((((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + ((((z) * (z2)) ^2) + (((z) * (z2)) ^2))) + ((((z) * (z2)) ^2) + (((z) * (z2)) ^2))) + ((((z) * (z2)) ^2) + (((z) * (z2)) ^2))) + ((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) is complex real ext-real Element of REAL
((((((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + ((((z) * (z2)) ^2) + (((z) * (z2)) ^2))) + ((((z) * (z2)) ^2) + (((z) * (z2)) ^2))) + ((((z) * (z2)) ^2) + (((z) * (z2)) ^2))) + ((((z) * (z2)) ^2) + (((z) * (z2)) ^2))) + ((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) ^2 is complex real ext-real Element of REAL
((z) * (z2)) * ((z) * (z2)) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) ^2 is complex real ext-real Element of REAL
((z) * (z2)) * ((z) * (z2)) is complex real ext-real set
(((z) * (z2)) ^2) + (((z) * (z2)) ^2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) ^2 is complex real ext-real Element of REAL
((z) * (z2)) * ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) ^2 is complex real ext-real Element of REAL
((z) * (z2)) * ((z) * (z2)) is complex real ext-real set
(((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2) is complex real ext-real Element of REAL
(((((((2 * ((z) * (z2))) * ((z) * (z2))) + ((2 * ((z) * (z2))) * ((z) * (z2)))) + ((2 * ((z) * (z2))) * ((z) * (z2)))) + ((2 * ((z) * (z2))) * ((z) * (z2)))) + ((2 * ((z) * (z2))) * ((z) * (z2)))) + ((2 * ((z) * (z2))) * ((z) * (z2)))) + ((((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) is complex real ext-real Element of REAL
((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2) is complex real ext-real Element of REAL
(((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2) is complex real ext-real Element of REAL
((((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2) is complex real ext-real Element of REAL
(((((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2) is complex real ext-real Element of REAL
((((((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2) is complex real ext-real Element of REAL
(((((((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2) is complex real ext-real Element of REAL
((((((((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2) is complex real ext-real Element of REAL
(((((((((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2) is complex real ext-real Element of REAL
((((((((((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2) is complex real ext-real Element of REAL
(((((((((((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2) is complex real ext-real Element of REAL
((((((((((((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + ((((((z) * (z2)) ^2) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) + (((z) * (z2)) ^2)) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + ((z) * (z2))) ^2 is complex real ext-real Element of REAL
(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + ((z) * (z2))) * (((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + ((z) * (z2))) is complex real ext-real set
2 * (((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + ((z) * (z2))) is complex real ext-real Element of REAL
(((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) + (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2)) is complex real ext-real Element of REAL
((((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) + (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2))) + (2 * (((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + ((z) * (z2)))) is complex real ext-real Element of REAL
((((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) + (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2))) + (2 * (sqrt ((((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) * (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2))))) is complex real ext-real Element of REAL
z is () set
(z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) is complex real ext-real Element of REAL
z2 is () set
(z,z2) is () Element of ()
(z2) is () set
(z,(z2)) is () set
((z,z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
(((z,z2)) ^2) + (((z,z2)) ^2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
(((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2)) + (((z,z2)) ^2) is complex real ext-real Element of REAL
sqrt ((((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2)) + (((z,z2)) ^2)) is complex real ext-real Element of REAL
(z2) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
((z2) ^2) + ((z2) ^2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
(((z2) ^2) + ((z2) ^2)) + ((z2) ^2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2) is complex real ext-real Element of REAL
sqrt (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2)) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real set
(z2) is () Element of ()
((z2)) is complex real ext-real set
((z2)) is complex real ext-real Element of REAL
((z2)) ^2 is complex real ext-real Element of REAL
((z2)) * ((z2)) is complex real ext-real set
((z2)) is complex real ext-real Element of REAL
((z2)) ^2 is complex real ext-real Element of REAL
((z2)) * ((z2)) is complex real ext-real set
(((z2)) ^2) + (((z2)) ^2) is complex real ext-real Element of REAL
((z2)) is complex real ext-real Element of REAL
((z2)) ^2 is complex real ext-real Element of REAL
((z2)) * ((z2)) is complex real ext-real set
((((z2)) ^2) + (((z2)) ^2)) + (((z2)) ^2) is complex real ext-real Element of REAL
((z2)) is complex real ext-real Element of REAL
((z2)) ^2 is complex real ext-real Element of REAL
((z2)) * ((z2)) is complex real ext-real set
(((((z2)) ^2) + (((z2)) ^2)) + (((z2)) ^2)) + (((z2)) ^2) is complex real ext-real Element of REAL
sqrt ((((((z2)) ^2) + (((z2)) ^2)) + (((z2)) ^2)) + (((z2)) ^2)) is complex real ext-real Element of REAL
(z) + ((z2)) is complex real ext-real set
z is () set
z2 is () set
(z,z2) is () Element of ()
((z,z2),z2) is () Element of ()
(z2) is () set
((z,z2),(z2)) is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
((z),(z),(z),(z)) is () Element of ()
(z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
((z2),(z2),(z2),(z2)) is () Element of ()
(z2) is () Element of ()
- (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
((- (z2)),(- (z2)),(- (z2)),(- (z2))) is () Element of ()
(z) + (z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(((z) + (z2)),((z) + (z2)),((z) + (z2)),((z) + (z2))) is () Element of ()
((z) + (z2)) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
((z) + (z2)) + (- (z2)) is complex real ext-real set
((z) + (z2)) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
((z) + (z2)) + (- (z2)) is complex real ext-real set
((z) + (z2)) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
((z) + (z2)) + (- (z2)) is complex real ext-real set
((z) + (z2)) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
((z) + (z2)) + (- (z2)) is complex real ext-real set
((((z) + (z2)) - (z2)),(((z) + (z2)) - (z2)),(((z) + (z2)) - (z2)),(((z) + (z2)) - (z2))) is () Element of ()
z is () set
z2 is () set
(z,z2) is () Element of ()
(z2) is () set
(z,(z2)) is () set
((z,z2),z2) is () Element of ()
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
((z),(z),(z),(z)) is () Element of ()
(z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
((z2),(z2),(z2),(z2)) is () Element of ()
(z2) is () Element of ()
- (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
((- (z2)),(- (z2)),(- (z2)),(- (z2))) is () Element of ()
(z) + (- (z2)) is complex real ext-real Element of REAL
(z) + (- (z2)) is complex real ext-real Element of REAL
(z) + (- (z2)) is complex real ext-real Element of REAL
(z) + (- (z2)) is complex real ext-real Element of REAL
(((z) + (- (z2))),((z) + (- (z2))),((z) + (- (z2))),((z) + (- (z2)))) is () Element of ()
((z) + (- (z2))) + (z2) is complex real ext-real Element of REAL
((z) + (- (z2))) + (z2) is complex real ext-real Element of REAL
((z) + (- (z2))) + (z2) is complex real ext-real Element of REAL
((z) + (- (z2))) + (z2) is complex real ext-real Element of REAL
((((z) + (- (z2))) + (z2)),(((z) + (- (z2))) + (z2)),(((z) + (- (z2))) + (z2)),(((z) + (- (z2))) + (z2))) is () Element of ()
(z) + (z2) is complex real ext-real Element of REAL
((z) + (z2)) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
((z) + (z2)) + (- (z2)) is complex real ext-real set
(z) + (z2) is complex real ext-real Element of REAL
((z) + (z2)) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
((z) + (z2)) + (- (z2)) is complex real ext-real set
(z) + (z2) is complex real ext-real Element of REAL
((z) + (z2)) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
((z) + (z2)) + (- (z2)) is complex real ext-real set
(z) + (z2) is complex real ext-real Element of REAL
((z) + (z2)) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
((z) + (z2)) + (- (z2)) is complex real ext-real set
((((z) + (z2)) - (z2)),(((z) + (z2)) - (z2)),(((z) + (z2)) - (z2)),(((z) + (z2)) - (z2))) is () Element of ()
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
z2 is () set
(z,z2) is () Element of ()
(z2) is () set
(z,(z2)) is () set
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(((z) - (z2)),((z) - (z2)),((z) - (z2)),((z) - (z2))) is () Element of ()
((z),(z),(z),(z)) is () Element of ()
(z2) is () Element of ()
- (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real Element of REAL
((- (z2)),(- (z2)),(- (z2)),(- (z2))) is () Element of ()
z is () set
z2 is () set
(z,z2) is () Element of ()
(z2) is () set
(z,(z2)) is () set
(z2,z) is () Element of ()
(z) is () set
(z2,(z)) is () set
((z2,z)) is () Element of ()
((z2,z)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) - (z) is complex real ext-real Element of REAL
- (z) is complex real ext-real set
(z2) + (- (z)) is complex real ext-real set
((z2,z)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) - (z) is complex real ext-real Element of REAL
- (z) is complex real ext-real set
(z2) + (- (z)) is complex real ext-real set
((z2,z)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) - (z) is complex real ext-real Element of REAL
- (z) is complex real ext-real set
(z2) + (- (z)) is complex real ext-real set
((z2,z)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) - (z) is complex real ext-real Element of REAL
- (z) is complex real ext-real set
(z2) + (- (z)) is complex real ext-real set
(((z2,z))) is complex real ext-real Element of REAL
- ((z2) - (z)) is complex real ext-real Element of REAL
(((z2,z))) is complex real ext-real Element of REAL
- ((z2) - (z)) is complex real ext-real Element of REAL
(((z2,z))) is complex real ext-real Element of REAL
- ((z2) - (z)) is complex real ext-real Element of REAL
(((z2,z))) is complex real ext-real Element of REAL
- ((z2) - (z)) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
z is () set
z2 is () set
(z,z2) is () Element of ()
(z2) is () set
(z,(z2)) is () set
((z,z2)) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
z is () set
(z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) is complex real ext-real Element of REAL
z2 is () set
(z2) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
((z2) ^2) + ((z2) ^2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
(((z2) ^2) + ((z2) ^2)) + ((z2) ^2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2) is complex real ext-real Element of REAL
sqrt (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2)) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real set
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(z,z2) is () Element of ()
((z,z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
(((z,z2)) ^2) + (((z,z2)) ^2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
(((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2)) + (((z,z2)) ^2) is complex real ext-real Element of REAL
sqrt ((((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2)) + (((z,z2)) ^2)) is complex real ext-real Element of REAL
((z,z2),z2) is () Element of ()
(z2) is () set
((z,z2),(z2)) is () set
((z,z2)) + (z2) is complex real ext-real set
z is () set
(z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) is complex real ext-real Element of REAL
z2 is () set
(z2) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
((z2) ^2) + ((z2) ^2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
(((z2) ^2) + ((z2) ^2)) + ((z2) ^2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2) is complex real ext-real Element of REAL
sqrt (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2)) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real set
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(z,z2) is () Element of ()
(z2) is () set
(z,(z2)) is () set
((z,z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
(((z,z2)) ^2) + (((z,z2)) ^2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
(((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2)) + (((z,z2)) ^2) is complex real ext-real Element of REAL
sqrt ((((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2)) + (((z,z2)) ^2)) is complex real ext-real Element of REAL
((z,z2),z2) is () Element of ()
((z,z2)) + (z2) is complex real ext-real set
z is () set
z2 is () set
(z,z2) is () Element of ()
(z2) is () set
(z,(z2)) is () set
((z,z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
(((z,z2)) ^2) + (((z,z2)) ^2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
(((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2)) + (((z,z2)) ^2) is complex real ext-real Element of REAL
sqrt ((((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2)) + (((z,z2)) ^2)) is complex real ext-real Element of REAL
(z2,z) is () Element of ()
(z) is () set
(z2,(z)) is () set
((z2,z)) is complex real ext-real set
((z2,z)) is complex real ext-real Element of REAL
((z2,z)) ^2 is complex real ext-real Element of REAL
((z2,z)) * ((z2,z)) is complex real ext-real set
((z2,z)) is complex real ext-real Element of REAL
((z2,z)) ^2 is complex real ext-real Element of REAL
((z2,z)) * ((z2,z)) is complex real ext-real set
(((z2,z)) ^2) + (((z2,z)) ^2) is complex real ext-real Element of REAL
((z2,z)) is complex real ext-real Element of REAL
((z2,z)) ^2 is complex real ext-real Element of REAL
((z2,z)) * ((z2,z)) is complex real ext-real set
((((z2,z)) ^2) + (((z2,z)) ^2)) + (((z2,z)) ^2) is complex real ext-real Element of REAL
((z2,z)) is complex real ext-real Element of REAL
((z2,z)) ^2 is complex real ext-real Element of REAL
((z2,z)) * ((z2,z)) is complex real ext-real set
(((((z2,z)) ^2) + (((z2,z)) ^2)) + (((z2,z)) ^2)) + (((z2,z)) ^2) is complex real ext-real Element of REAL
sqrt ((((((z2,z)) ^2) + (((z2,z)) ^2)) + (((z2,z)) ^2)) + (((z2,z)) ^2)) is complex real ext-real Element of REAL
((z2,z)) is () Element of ()
(((z2,z))) is complex real ext-real set
(((z2,z))) is complex real ext-real Element of REAL
(((z2,z))) ^2 is complex real ext-real Element of REAL
(((z2,z))) * (((z2,z))) is complex real ext-real set
(((z2,z))) is complex real ext-real Element of REAL
(((z2,z))) ^2 is complex real ext-real Element of REAL
(((z2,z))) * (((z2,z))) is complex real ext-real set
((((z2,z))) ^2) + ((((z2,z))) ^2) is complex real ext-real Element of REAL
(((z2,z))) is complex real ext-real Element of REAL
(((z2,z))) ^2 is complex real ext-real Element of REAL
(((z2,z))) * (((z2,z))) is complex real ext-real set
(((((z2,z))) ^2) + ((((z2,z))) ^2)) + ((((z2,z))) ^2) is complex real ext-real Element of REAL
(((z2,z))) is complex real ext-real Element of REAL
(((z2,z))) ^2 is complex real ext-real Element of REAL
(((z2,z))) * (((z2,z))) is complex real ext-real set
((((((z2,z))) ^2) + ((((z2,z))) ^2)) + ((((z2,z))) ^2)) + ((((z2,z))) ^2) is complex real ext-real Element of REAL
sqrt (((((((z2,z))) ^2) + ((((z2,z))) ^2)) + ((((z2,z))) ^2)) + ((((z2,z))) ^2)) is complex real ext-real Element of REAL
z is () set
z2 is () set
(z,z2) is () Element of ()
(z2) is () set
(z,(z2)) is () set
((z,z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
(((z,z2)) ^2) + (((z,z2)) ^2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
(((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2)) + (((z,z2)) ^2) is complex real ext-real Element of REAL
sqrt ((((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2)) + (((z,z2)) ^2)) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) - (z) is complex real ext-real Element of REAL
- (z) is complex real ext-real set
(z) + (- (z)) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) - (z) is complex real ext-real Element of REAL
- (z) is complex real ext-real set
(z) + (- (z)) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) - (z) is complex real ext-real Element of REAL
- (z) is complex real ext-real set
(z) + (- (z)) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) - (z) is complex real ext-real Element of REAL
- (z) is complex real ext-real set
(z) + (- (z)) is complex real ext-real set
(((z) - (z)),((z) - (z)),((z) - (z)),((z) - (z))) is () Element of ()
z2 is () set
m1 is () set
(z2,m1) is () Element of ()
(m1) is () set
(z2,(m1)) is () set
z is () set
(z2,z) is () Element of ()
(z) is () set
(z2,(z)) is () set
(z,m1) is () Element of ()
(z,(m1)) is () set
((z2,z),(z,m1)) is () Element of ()
(((z2,z),(z,m1))) is complex real ext-real Element of REAL
((z2,z)) is complex real ext-real Element of REAL
((z,m1)) is complex real ext-real Element of REAL
((z2,z)) + ((z,m1)) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
(z) - (m1) is complex real ext-real Element of REAL
- (m1) is complex real ext-real set
(z) + (- (m1)) is complex real ext-real set
((z2,z)) + ((z) - (m1)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) - (z) is complex real ext-real Element of REAL
- (z) is complex real ext-real set
(z2) + (- (z)) is complex real ext-real set
((z2) - (z)) + ((z) - (m1)) is complex real ext-real Element of REAL
(z2) - (m1) is complex real ext-real Element of REAL
(z2) + (- (m1)) is complex real ext-real set
((z2,m1)) is complex real ext-real Element of REAL
(((z2,z),(z,m1))) is complex real ext-real Element of REAL
((z2,z)) is complex real ext-real Element of REAL
((z,m1)) is complex real ext-real Element of REAL
((z2,z)) + ((z,m1)) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
(z) - (m1) is complex real ext-real Element of REAL
- (m1) is complex real ext-real set
(z) + (- (m1)) is complex real ext-real set
((z2,z)) + ((z) - (m1)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) - (z) is complex real ext-real Element of REAL
- (z) is complex real ext-real set
(z2) + (- (z)) is complex real ext-real set
((z2) - (z)) + ((z) - (m1)) is complex real ext-real Element of REAL
(z2) - (m1) is complex real ext-real Element of REAL
(z2) + (- (m1)) is complex real ext-real set
((z2,m1)) is complex real ext-real Element of REAL
(((z2,z),(z,m1))) is complex real ext-real Element of REAL
((z2,z)) is complex real ext-real Element of REAL
((z,m1)) is complex real ext-real Element of REAL
((z2,z)) + ((z,m1)) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
(z) - (m1) is complex real ext-real Element of REAL
- (m1) is complex real ext-real set
(z) + (- (m1)) is complex real ext-real set
((z2,z)) + ((z) - (m1)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) - (z) is complex real ext-real Element of REAL
- (z) is complex real ext-real set
(z2) + (- (z)) is complex real ext-real set
((z2) - (z)) + ((z) - (m1)) is complex real ext-real Element of REAL
(z2) - (m1) is complex real ext-real Element of REAL
(z2) + (- (m1)) is complex real ext-real set
((z2,m1)) is complex real ext-real Element of REAL
(((z2,z),(z,m1))) is complex real ext-real Element of REAL
((z2,z)) is complex real ext-real Element of REAL
((z,m1)) is complex real ext-real Element of REAL
((z2,z)) + ((z,m1)) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
(z) - (m1) is complex real ext-real Element of REAL
- (m1) is complex real ext-real set
(z) + (- (m1)) is complex real ext-real set
((z2,z)) + ((z) - (m1)) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) - (z) is complex real ext-real Element of REAL
- (z) is complex real ext-real set
(z2) + (- (z)) is complex real ext-real set
((z2) - (z)) + ((z) - (m1)) is complex real ext-real Element of REAL
(z2) - (m1) is complex real ext-real Element of REAL
(z2) + (- (m1)) is complex real ext-real set
((z2,m1)) is complex real ext-real Element of REAL
z is () set
z2 is () set
(z,z2) is () Element of ()
(z2) is () set
(z,(z2)) is () set
((z,z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
(((z,z2)) ^2) + (((z,z2)) ^2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
(((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2)) + (((z,z2)) ^2) is complex real ext-real Element of REAL
sqrt ((((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2)) + (((z,z2)) ^2)) is complex real ext-real Element of REAL
m1 is () set
(z,m1) is () Element of ()
(m1) is () set
(z,(m1)) is () set
((z,m1)) is complex real ext-real set
((z,m1)) is complex real ext-real Element of REAL
((z,m1)) ^2 is complex real ext-real Element of REAL
((z,m1)) * ((z,m1)) is complex real ext-real set
((z,m1)) is complex real ext-real Element of REAL
((z,m1)) ^2 is complex real ext-real Element of REAL
((z,m1)) * ((z,m1)) is complex real ext-real set
(((z,m1)) ^2) + (((z,m1)) ^2) is complex real ext-real Element of REAL
((z,m1)) is complex real ext-real Element of REAL
((z,m1)) ^2 is complex real ext-real Element of REAL
((z,m1)) * ((z,m1)) is complex real ext-real set
((((z,m1)) ^2) + (((z,m1)) ^2)) + (((z,m1)) ^2) is complex real ext-real Element of REAL
((z,m1)) is complex real ext-real Element of REAL
((z,m1)) ^2 is complex real ext-real Element of REAL
((z,m1)) * ((z,m1)) is complex real ext-real set
(((((z,m1)) ^2) + (((z,m1)) ^2)) + (((z,m1)) ^2)) + (((z,m1)) ^2) is complex real ext-real Element of REAL
sqrt ((((((z,m1)) ^2) + (((z,m1)) ^2)) + (((z,m1)) ^2)) + (((z,m1)) ^2)) is complex real ext-real Element of REAL
(m1,z2) is () Element of ()
(m1,(z2)) is () set
((m1,z2)) is complex real ext-real set
((m1,z2)) is complex real ext-real Element of REAL
((m1,z2)) ^2 is complex real ext-real Element of REAL
((m1,z2)) * ((m1,z2)) is complex real ext-real set
((m1,z2)) is complex real ext-real Element of REAL
((m1,z2)) ^2 is complex real ext-real Element of REAL
((m1,z2)) * ((m1,z2)) is complex real ext-real set
(((m1,z2)) ^2) + (((m1,z2)) ^2) is complex real ext-real Element of REAL
((m1,z2)) is complex real ext-real Element of REAL
((m1,z2)) ^2 is complex real ext-real Element of REAL
((m1,z2)) * ((m1,z2)) is complex real ext-real set
((((m1,z2)) ^2) + (((m1,z2)) ^2)) + (((m1,z2)) ^2) is complex real ext-real Element of REAL
((m1,z2)) is complex real ext-real Element of REAL
((m1,z2)) ^2 is complex real ext-real Element of REAL
((m1,z2)) * ((m1,z2)) is complex real ext-real set
(((((m1,z2)) ^2) + (((m1,z2)) ^2)) + (((m1,z2)) ^2)) + (((m1,z2)) ^2) is complex real ext-real Element of REAL
sqrt ((((((m1,z2)) ^2) + (((m1,z2)) ^2)) + (((m1,z2)) ^2)) + (((m1,z2)) ^2)) is complex real ext-real Element of REAL
((z,m1)) + ((m1,z2)) is complex real ext-real set
((z,m1),(m1,z2)) is () Element of ()
(((z,m1),(m1,z2))) is complex real ext-real set
(((z,m1),(m1,z2))) is complex real ext-real Element of REAL
(((z,m1),(m1,z2))) ^2 is complex real ext-real Element of REAL
(((z,m1),(m1,z2))) * (((z,m1),(m1,z2))) is complex real ext-real set
(((z,m1),(m1,z2))) is complex real ext-real Element of REAL
(((z,m1),(m1,z2))) ^2 is complex real ext-real Element of REAL
(((z,m1),(m1,z2))) * (((z,m1),(m1,z2))) is complex real ext-real set
((((z,m1),(m1,z2))) ^2) + ((((z,m1),(m1,z2))) ^2) is complex real ext-real Element of REAL
(((z,m1),(m1,z2))) is complex real ext-real Element of REAL
(((z,m1),(m1,z2))) ^2 is complex real ext-real Element of REAL
(((z,m1),(m1,z2))) * (((z,m1),(m1,z2))) is complex real ext-real set
(((((z,m1),(m1,z2))) ^2) + ((((z,m1),(m1,z2))) ^2)) + ((((z,m1),(m1,z2))) ^2) is complex real ext-real Element of REAL
(((z,m1),(m1,z2))) is complex real ext-real Element of REAL
(((z,m1),(m1,z2))) ^2 is complex real ext-real Element of REAL
(((z,m1),(m1,z2))) * (((z,m1),(m1,z2))) is complex real ext-real set
((((((z,m1),(m1,z2))) ^2) + ((((z,m1),(m1,z2))) ^2)) + ((((z,m1),(m1,z2))) ^2)) + ((((z,m1),(m1,z2))) ^2) is complex real ext-real Element of REAL
sqrt (((((((z,m1),(m1,z2))) ^2) + ((((z,m1),(m1,z2))) ^2)) + ((((z,m1),(m1,z2))) ^2)) + ((((z,m1),(m1,z2))) ^2)) is complex real ext-real Element of REAL
z is () set
(z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) is complex real ext-real Element of REAL
z2 is () set
(z2) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
((z2) ^2) + ((z2) ^2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
(((z2) ^2) + ((z2) ^2)) + ((z2) ^2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2) is complex real ext-real Element of REAL
sqrt (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2)) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real set
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
|.((z) - (z2)).| is complex real ext-real Element of REAL
Re ((z) - (z2)) is complex real ext-real Element of REAL
(Re ((z) - (z2))) ^2 is complex real ext-real Element of REAL
(Re ((z) - (z2))) * (Re ((z) - (z2))) is complex real ext-real set
Im ((z) - (z2)) is complex real ext-real Element of REAL
(Im ((z) - (z2))) ^2 is complex real ext-real Element of REAL
(Im ((z) - (z2))) * (Im ((z) - (z2))) is complex real ext-real set
((Re ((z) - (z2))) ^2) + ((Im ((z) - (z2))) ^2) is complex real ext-real Element of REAL
sqrt (((Re ((z) - (z2))) ^2) + ((Im ((z) - (z2))) ^2)) is complex real ext-real Element of REAL
(z,z2) is () Element of ()
(z2) is () set
(z,(z2)) is () set
((z,z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
(((z,z2)) ^2) + (((z,z2)) ^2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
(((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2)) + (((z,z2)) ^2) is complex real ext-real Element of REAL
sqrt ((((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2)) + (((z,z2)) ^2)) is complex real ext-real Element of REAL
(z2) - (z) is complex real ext-real set
- (z) is complex real ext-real set
(z2) + (- (z)) is complex real ext-real set
(z2,z) is () Element of ()
(z) is () set
(z2,(z)) is () set
((z2,z)) is complex real ext-real set
((z2,z)) is complex real ext-real Element of REAL
((z2,z)) ^2 is complex real ext-real Element of REAL
((z2,z)) * ((z2,z)) is complex real ext-real set
((z2,z)) is complex real ext-real Element of REAL
((z2,z)) ^2 is complex real ext-real Element of REAL
((z2,z)) * ((z2,z)) is complex real ext-real set
(((z2,z)) ^2) + (((z2,z)) ^2) is complex real ext-real Element of REAL
((z2,z)) is complex real ext-real Element of REAL
((z2,z)) ^2 is complex real ext-real Element of REAL
((z2,z)) * ((z2,z)) is complex real ext-real set
((((z2,z)) ^2) + (((z2,z)) ^2)) + (((z2,z)) ^2) is complex real ext-real Element of REAL
((z2,z)) is complex real ext-real Element of REAL
((z2,z)) ^2 is complex real ext-real Element of REAL
((z2,z)) * ((z2,z)) is complex real ext-real set
(((((z2,z)) ^2) + (((z2,z)) ^2)) + (((z2,z)) ^2)) + (((z2,z)) ^2) is complex real ext-real Element of REAL
sqrt ((((((z2,z)) ^2) + (((z2,z)) ^2)) + (((z2,z)) ^2)) + (((z2,z)) ^2)) is complex real ext-real Element of REAL
- ((z) - (z2)) is complex real ext-real set
- ((z,z2)) is complex real ext-real set
- (- ((z) - (z2))) is complex real ext-real set
z is () set
(z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) is complex real ext-real Element of REAL
z2 is () set
(z,z2) is () Element of ()
((z,z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
(((z,z2)) ^2) + (((z,z2)) ^2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2) is complex real ext-real Element of REAL
((z,z2)) is complex real ext-real Element of REAL
((z,z2)) ^2 is complex real ext-real Element of REAL
((z,z2)) * ((z,z2)) is complex real ext-real set
(((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2)) + (((z,z2)) ^2) is complex real ext-real Element of REAL
sqrt ((((((z,z2)) ^2) + (((z,z2)) ^2)) + (((z,z2)) ^2)) + (((z,z2)) ^2)) is complex real ext-real Element of REAL
(z2) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
((z2) ^2) + ((z2) ^2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
(((z2) ^2) + ((z2) ^2)) + ((z2) ^2) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z2) ^2 is complex real ext-real Element of REAL
(z2) * (z2) is complex real ext-real set
((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2) is complex real ext-real Element of REAL
sqrt (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((z) * (z2)) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
(((z) * (z2)) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))) ^2 is complex real ext-real Element of REAL
(((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))) * (((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))) is complex real ext-real set
(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) ^2 is complex real ext-real Element of REAL
(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) * (((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) is complex real ext-real set
((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))) ^2) + ((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) ^2) is complex real ext-real Element of REAL
(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) ^2 is complex real ext-real Element of REAL
(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) * (((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) is complex real ext-real set
(((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))) ^2) + ((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) ^2)) + ((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) ^2) is complex real ext-real Element of REAL
(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) ^2 is complex real ext-real Element of REAL
(((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) * (((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) is complex real ext-real set
((((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))) ^2) + ((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) ^2)) + ((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) ^2)) + ((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) ^2) is complex real ext-real Element of REAL
sqrt (((((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))) ^2) + ((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) ^2)) + ((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) ^2)) + ((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))) ^2)) is complex real ext-real Element of REAL
(((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) * (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2)) is complex real ext-real Element of REAL
sqrt ((((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) * (((((z2) ^2) + ((z2) ^2)) + ((z2) ^2)) + ((z2) ^2))) is complex real ext-real Element of REAL
z is () set
(z,z) is () Element of ()
((z,z)) is complex real ext-real set
((z,z)) is complex real ext-real Element of REAL
((z,z)) ^2 is complex real ext-real Element of REAL
((z,z)) * ((z,z)) is complex real ext-real set
((z,z)) is complex real ext-real Element of REAL
((z,z)) ^2 is complex real ext-real Element of REAL
((z,z)) * ((z,z)) is complex real ext-real set
(((z,z)) ^2) + (((z,z)) ^2) is complex real ext-real Element of REAL
((z,z)) is complex real ext-real Element of REAL
((z,z)) ^2 is complex real ext-real Element of REAL
((z,z)) * ((z,z)) is complex real ext-real set
((((z,z)) ^2) + (((z,z)) ^2)) + (((z,z)) ^2) is complex real ext-real Element of REAL
((z,z)) is complex real ext-real Element of REAL
((z,z)) ^2 is complex real ext-real Element of REAL
((z,z)) * ((z,z)) is complex real ext-real set
(((((z,z)) ^2) + (((z,z)) ^2)) + (((z,z)) ^2)) + (((z,z)) ^2) is complex real ext-real Element of REAL
sqrt ((((((z,z)) ^2) + (((z,z)) ^2)) + (((z,z)) ^2)) + (((z,z)) ^2)) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) is complex real ext-real set
sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2))) ^2 is complex real ext-real Element of REAL
(sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2))) * (sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2))) is complex real ext-real set
z is () set
(z,z) is () Element of ()
((z,z)) is complex real ext-real set
((z,z)) is complex real ext-real Element of REAL
((z,z)) ^2 is complex real ext-real Element of REAL
((z,z)) * ((z,z)) is complex real ext-real set
((z,z)) is complex real ext-real Element of REAL
((z,z)) ^2 is complex real ext-real Element of REAL
((z,z)) * ((z,z)) is complex real ext-real set
(((z,z)) ^2) + (((z,z)) ^2) is complex real ext-real Element of REAL
((z,z)) is complex real ext-real Element of REAL
((z,z)) ^2 is complex real ext-real Element of REAL
((z,z)) * ((z,z)) is complex real ext-real set
((((z,z)) ^2) + (((z,z)) ^2)) + (((z,z)) ^2) is complex real ext-real Element of REAL
((z,z)) is complex real ext-real Element of REAL
((z,z)) ^2 is complex real ext-real Element of REAL
((z,z)) * ((z,z)) is complex real ext-real set
(((((z,z)) ^2) + (((z,z)) ^2)) + (((z,z)) ^2)) + (((z,z)) ^2) is complex real ext-real Element of REAL
sqrt ((((((z,z)) ^2) + (((z,z)) ^2)) + (((z,z)) ^2)) + (((z,z)) ^2)) is complex real ext-real Element of REAL
(z) is () Element of ()
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((z),((- (z)),<i>)) is () set
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
(((z),((- (z)),<i>)),((- (z)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
((((z),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
(z,(z)) is () Element of ()
((z,(z))) is complex real ext-real set
((z,(z))) is complex real ext-real Element of REAL
((z,(z))) ^2 is complex real ext-real Element of REAL
((z,(z))) * ((z,(z))) is complex real ext-real set
((z,(z))) is complex real ext-real Element of REAL
((z,(z))) ^2 is complex real ext-real Element of REAL
((z,(z))) * ((z,(z))) is complex real ext-real set
(((z,(z))) ^2) + (((z,(z))) ^2) is complex real ext-real Element of REAL
((z,(z))) is complex real ext-real Element of REAL
((z,(z))) ^2 is complex real ext-real Element of REAL
((z,(z))) * ((z,(z))) is complex real ext-real set
((((z,(z))) ^2) + (((z,(z))) ^2)) + (((z,(z))) ^2) is complex real ext-real Element of REAL
((z,(z))) is complex real ext-real Element of REAL
((z,(z))) ^2 is complex real ext-real Element of REAL
((z,(z))) * ((z,(z))) is complex real ext-real set
(((((z,(z))) ^2) + (((z,(z))) ^2)) + (((z,(z))) ^2)) + (((z,(z))) ^2) is complex real ext-real Element of REAL
sqrt ((((((z,(z))) ^2) + (((z,(z))) ^2)) + (((z,(z))) ^2)) + (((z,(z))) ^2)) is complex real ext-real Element of REAL
(z) is complex real ext-real set
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z) ^2) + ((z) ^2) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
(((z) ^2) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
(z) ^2 is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2) is complex real ext-real Element of REAL
sqrt (((((z) ^2) + ((z) ^2)) + ((z) ^2)) + ((z) ^2)) is complex real ext-real Element of REAL
(z) * (z) is complex real ext-real set
((z)) is complex real ext-real set
((z)) is complex real ext-real Element of REAL
((z)) ^2 is complex real ext-real Element of REAL
((z)) * ((z)) is complex real ext-real set
((z)) is complex real ext-real Element of REAL
((z)) ^2 is complex real ext-real Element of REAL
((z)) * ((z)) is complex real ext-real set
(((z)) ^2) + (((z)) ^2) is complex real ext-real Element of REAL
((z)) is complex real ext-real Element of REAL
((z)) ^2 is complex real ext-real Element of REAL
((z)) * ((z)) is complex real ext-real set
((((z)) ^2) + (((z)) ^2)) + (((z)) ^2) is complex real ext-real Element of REAL
((z)) is complex real ext-real Element of REAL
((z)) ^2 is complex real ext-real Element of REAL
((z)) * ((z)) is complex real ext-real set
(((((z)) ^2) + (((z)) ^2)) + (((z)) ^2)) + (((z)) ^2) is complex real ext-real Element of REAL
sqrt ((((((z)) ^2) + (((z)) ^2)) + (((z)) ^2)) + (((z)) ^2)) is complex real ext-real Element of REAL
(z) * ((z)) is complex real ext-real set
z is () set
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
z is complex real ext-real Element of REAL
z2 is complex real ext-real Element of REAL
(z,z2,0,0) is () Element of ()
[*z,z2*] is complex Element of COMPLEX
z is () set
z2 is () set
(z,z2) is () Element of ()
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(((z) + (z2)),<i>) is () set
(((z) + (z2)),(((z) + (z2)),<i>)) is () set
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(((z) + (z2)),()) is () set
((((z) + (z2)),(((z) + (z2)),<i>)),(((z) + (z2)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) + (z2) is complex real ext-real Element of REAL
(((z) + (z2)),()) is () set
(((((z) + (z2)),(((z) + (z2)),<i>)),(((z) + (z2)),())),(((z) + (z2)),())) is () Element of ()
z is () set
z2 is () set
(z,z2) is () Element of ()
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((z) * (z2)) + (- ((z) * (z2))) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
(((z) * (z2)) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),<i>) is () set
((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),<i>)) is () set
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),()) is () set
(((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),<i>)),((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),())) is () Element of ()
(z) * (z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) + ((z) * (z2))) + ((z) * (z2)) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),()) is () set
((((((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2))),((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),<i>)),((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),())),((((((z) * (z2)) + ((z) * (z2))) + ((z) * (z2))) - ((z) * (z2))),())) is () Element of ()
z is () set
(z) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),<i>) is () set
((- (z)),((- (z)),<i>)) is () set
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
(((- (z)),((- (z)),<i>)),((- (z)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
- (z) is complex real ext-real Element of REAL
((- (z)),()) is () set
((((- (z)),((- (z)),<i>)),((- (z)),())),((- (z)),())) is () Element of ()
z is () set
z2 is () set
(z,z2) is () Element of ()
(z2) is () set
(z,(z2)) is () set
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(((z) - (z2)),<i>) is () set
(((z) - (z2)),(((z) - (z2)),<i>)) is () set
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(((z) - (z2)),()) is () set
((((z) - (z2)),(((z) - (z2)),<i>)),(((z) - (z2)),())) is () Element of ()
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) - (z2) is complex real ext-real Element of REAL
- (z2) is complex real ext-real set
(z) + (- (z2)) is complex real ext-real set
(((z) - (z2)),()) is () set
(((((z) - (z2)),(((z) - (z2)),<i>)),(((z) - (z2)),())),(((z) - (z2)),())) is () Element of ()
z is complex real ext-real set
z ^2 is complex real ext-real set
z * z is complex real ext-real set
z2 is complex real ext-real set
z2 ^2 is complex real ext-real set
z2 * z2 is complex real ext-real set
(z ^2) + (z2 ^2) is complex real ext-real set
m1 is complex real ext-real set
m1 ^2 is complex real ext-real set
m1 * m1 is complex real ext-real set
((z ^2) + (z2 ^2)) + (m1 ^2) is complex real ext-real set
m2 is complex real ext-real set
m2 ^2 is complex real ext-real set
m2 * m2 is complex real ext-real set
(((z ^2) + (z2 ^2)) + (m1 ^2)) + (m2 ^2) is complex real ext-real set
z is () set
z2 is () set
(z,z2) is () Element of ()
((z,z2)) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((z) * (z2)) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((z) * (z2)) + (- ((z) * (z2))) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
(((z) * (z2)) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
(((z) * (z2)) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
(z) is complex real ext-real Element of REAL
(z2) is complex real ext-real Element of REAL
(z) * (z2) is complex real ext-real Element of REAL
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) - ((z) * (z2)) is complex real ext-real Element of REAL
- ((z) * (z2)) is complex real ext-real set
((((z) * (z2)) - ((z) * (z2))) - ((z) * (z2))) + (- ((z) * (z2))) is complex real ext-real set
m1 is () set
m2 is () set
(m1,m2) is () Element of ()
((m1,m2)) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
(m1) * (m2) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
(m1) * (m2) is complex real ext-real Element of REAL
((m1) * (m2)) + ((m1) * (m2)) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
(m1) * (m2) is complex real ext-real Element of REAL
(((m1) * (m2)) + ((m1) * (m2))) + ((m1) * (m2)) is complex real ext-real Element of REAL
(m1) is complex real ext-real Element of REAL
(m2) is complex real ext-real Element of REAL
(m1) * (m2) is complex real ext-real Element of REAL
((((m1) * (m2)) + ((m1) * (m2))) + ((m1) * (m2))) - ((m1) * (m2)) is complex real ext-real Element of REAL
- ((m1) * (m2)) is complex real ext-real set
((((m1) * (m2)) + ((m1) * (m2))) + ((m1) * (m2))) + (- ((m1) * (m2))) is complex real ext-real set
m3 is () set
m4 is () set
(m3,m4) is () Element of ()
((m3,m4)) is complex real ext-real Element of REAL
(m3) is complex real ext-real Element of REAL
(m4) is complex real ext-real Element of REAL
(m3) * (m4) is complex real ext-real Element of REAL
(m3) is complex real ext-real Element of REAL
(m4) is complex real ext-real Element of REAL
(m3) * (m4) is complex real ext-real Element of REAL
((m3) * (m4)) + ((m3) * (m4)) is complex real ext-real Element of REAL
(m3) is complex real ext-real Element of REAL
(m4) is complex real ext-real Element of REAL
(m3) * (m4) is complex real ext-real Element of REAL
(((m3) * (m4)) + ((m3) * (m4))) + ((m3) * (m4)) is complex real ext-real Element of REAL
(m3) is complex real ext-real Element of REAL
(m4) is complex real ext-real Element of REAL
(m3) * (m4) is complex real ext-real Element of REAL
((((m3) * (m4)) + ((m3) * (m4))) + ((m3) * (m4))) - ((m3) * (m4)) is complex real ext-real Element of REAL
- ((m3) * (m4)) is complex real ext-real set
((((m3) * (m4)) + ((m3) * (m4))) + ((m3) * (m4))) + (- ((m3) * (m4))) is complex real ext-real set
n1 is () set
n2 is () set
(n1,n2) is () Element of ()
((n1,n2)) is complex real ext-real Element of REAL
(n1) is complex real ext-real Element of REAL
(n2) is complex real ext-real Element of REAL
(n1) * (n2) is complex real ext-real Element of REAL
(n1) is complex real ext-real Element of REAL
(n2) is complex real ext-real Element of REAL
(n1) * (n2) is complex real ext-real Element of REAL
((n1) * (n2)) + ((n1) * (n2)) is complex real ext-real Element of REAL
(n1) is complex real ext-real Element of REAL
(n2) is complex real ext-real Element of REAL
(n1) * (n2) is complex real ext-real Element of REAL
(((n1) * (n2)) + ((n1) * (n2))) + ((n1) * (n2)) is complex real ext-real Element of REAL
(n1) is complex real ext-real Element of REAL
(n2) is complex real ext-real Element of REAL
(n1) * (n2) is complex real ext-real Element of REAL
((((n1) * (n2)) + ((n1) * (n2))) + ((n1) * (n2))) - ((n1) * (n2)) is complex real ext-real Element of REAL
- ((n1) * (n2)) is complex real ext-real set
((((n1) * (n2)) + ((n1) * (n2))) + ((n1) * (n2))) + (- ((n1) * (n2))) is complex real ext-real set