COMPLSP2

:: COMPLSP2 semantic presentation

REAL is non zero V39() V64() V65() V66() V70() set
NAT is V64() V65() V66() V67() V68() V69() V70() Element of bool REAL
bool REAL is set
K400() is V133() L11()
the U1 of K400() is set
COMPLEX is non zero V39() V64() V70() set
RAT is non zero V39() V64() V65() V66() V67() V70() set
INT is non zero V39() V64() V65() V66() V67() V68() V70() set
[:COMPLEX,COMPLEX:] is complex-valued set
bool [:COMPLEX,COMPLEX:] is set
[:[:COMPLEX,COMPLEX:],COMPLEX:] is complex-valued set
bool [:[:COMPLEX,COMPLEX:],COMPLEX:] is set
[:REAL,REAL:] is complex-valued ext-real-valued real-valued set
bool [:REAL,REAL:] is set
[:[:REAL,REAL:],REAL:] is complex-valued ext-real-valued real-valued set
bool [:[:REAL,REAL:],REAL:] is set
[:RAT,RAT:] is RAT -valued complex-valued ext-real-valued real-valued set
bool [:RAT,RAT:] is set
[:[:RAT,RAT:],RAT:] is RAT -valued complex-valued ext-real-valued real-valued set
bool [:[:RAT,RAT:],RAT:] is set
[:INT,INT:] is RAT -valued INT -valued complex-valued ext-real-valued real-valued set
bool [:INT,INT:] is set
[:[:INT,INT:],INT:] is RAT -valued INT -valued complex-valued ext-real-valued real-valued set
bool [:[:INT,INT:],INT:] is set
[:NAT,NAT:] is RAT -valued INT -valued complex-valued ext-real-valued real-valued natural-valued set
[:[:NAT,NAT:],NAT:] is RAT -valued INT -valued complex-valued ext-real-valued real-valued natural-valued set
bool [:[:NAT,NAT:],NAT:] is set
NAT is V64() V65() V66() V67() V68() V69() V70() set
bool NAT is set
bool NAT is set
[:COMPLEX,REAL:] is complex-valued ext-real-valued real-valued set
bool [:COMPLEX,REAL:] is set
the U1 of K400() * is functional non zero FinSequence-membered FinSequenceSet of the U1 of K400()
COMPLEX * is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
1 is non zero natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
0 is Function-like functional zero natural complex V34() V35() V36() FinSequence-membered ext-real non positive non negative V64() V65() V66() V67() V68() V69() V70() Element of NAT
2 is non zero natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
3 is non zero natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
0 is Function-like functional zero FinSequence-membered V64() V65() V66() V67() V68() V69() V70() set
compcomplex is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
addcomplex is Relation-like [:COMPLEX,COMPLEX:] -defined COMPLEX -valued Function-like V14([:COMPLEX,COMPLEX:]) V18([:COMPLEX,COMPLEX:], COMPLEX ) V25( COMPLEX ) complex-valued V145( COMPLEX ) V146( COMPLEX ) Element of bool [:[:COMPLEX,COMPLEX:],COMPLEX:]
diffcomplex is Relation-like [:COMPLEX,COMPLEX:] -defined COMPLEX -valued Function-like V14([:COMPLEX,COMPLEX:]) V18([:COMPLEX,COMPLEX:], COMPLEX ) complex-valued Element of bool [:[:COMPLEX,COMPLEX:],COMPLEX:]
multcomplex is Relation-like [:COMPLEX,COMPLEX:] -defined COMPLEX -valued Function-like V14([:COMPLEX,COMPLEX:]) V18([:COMPLEX,COMPLEX:], COMPLEX ) V25( COMPLEX ) complex-valued V145( COMPLEX ) V146( COMPLEX ) Element of bool [:[:COMPLEX,COMPLEX:],COMPLEX:]
compreal is Relation-like REAL -defined REAL -valued Function-like non zero V14( REAL ) V18( REAL , REAL ) complex-valued ext-real-valued real-valued Element of bool [:REAL,REAL:]
addreal is Relation-like [:REAL,REAL:] -defined REAL -valued Function-like V14([:REAL,REAL:]) V18([:REAL,REAL:], REAL ) V25( REAL ) complex-valued ext-real-valued real-valued V145( REAL ) V146( REAL ) Element of bool [:[:REAL,REAL:],REAL:]
diffreal is Relation-like [:REAL,REAL:] -defined REAL -valued Function-like V14([:REAL,REAL:]) V18([:REAL,REAL:], REAL ) complex-valued ext-real-valued real-valued Element of bool [:[:REAL,REAL:],REAL:]
multreal is Relation-like [:REAL,REAL:] -defined REAL -valued Function-like V14([:REAL,REAL:]) V18([:REAL,REAL:], REAL ) V25( REAL ) complex-valued ext-real-valued real-valued V145( REAL ) V146( REAL ) Element of bool [:[:REAL,REAL:],REAL:]
K435(COMPLEX,addcomplex) is complex Element of COMPLEX
[:2,REAL:] is complex-valued ext-real-valued real-valued set
bool [:2,REAL:] is set
1r is complex Element of COMPLEX
<i> is complex Element of COMPLEX
1r *' is complex Element of COMPLEX
<i> *' is complex Element of COMPLEX
- <i> is complex Element of COMPLEX
id REAL is Relation-like REAL -defined REAL -valued Function-like one-to-one non zero V14( REAL ) V18( REAL , REAL ) complex-valued ext-real-valued real-valued V58() non-decreasing Element of bool [:REAL,REAL:]
K240(COMPLEX,addcomplex) is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
id COMPLEX is Relation-like COMPLEX -defined COMPLEX -valued Function-like one-to-one non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
0c is Function-like functional zero complex FinSequence-membered V64() V65() V66() V67() V68() V69() V70() Element of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like set
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
dom b is V64() V65() V66() V67() V68() V69() Element of bool NAT
rng b is set
x is set
y is set
b . y is set
z is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b . z is set
a . z is complex Element of COMPLEX
(a . z) *' is complex Element of COMPLEX
x is natural complex ext-real set
a . x is complex Element of COMPLEX
(a . x) *' is complex Element of COMPLEX
b . x is set
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
y is natural complex ext-real set
b . y is complex Element of COMPLEX
x . y is complex Element of COMPLEX
a . y is complex Element of COMPLEX
(a . y) *' is complex Element of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b is complex Element of COMPLEX
b * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
multcomplex [;] (b,(id COMPLEX)) is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
(multcomplex [;] (b,(id COMPLEX))) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b multcomplex is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
dom (b + x) is V64() V65() V66() V67() V68() V69() Element of bool NAT
(b + x) . a is complex Element of COMPLEX
b . a is complex Element of COMPLEX
x . a is complex Element of COMPLEX
(b . a) + (x . a) is complex Element of COMPLEX
a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b - x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- 1 is non zero complex set
(- 1) * x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
dom (b - x) is V64() V65() V66() V67() V68() V69() Element of bool NAT
(b - x) . a is complex Element of COMPLEX
b . a is complex Element of COMPLEX
x . a is complex Element of COMPLEX
(b . a) - (x . a) is complex Element of COMPLEX
a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46(a) FinSequence-like FinSubsequence-like complex-valued Element of a -tuples_on COMPLEX
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46(a) FinSequence-like FinSubsequence-like complex-valued Element of a -tuples_on COMPLEX
b - x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- 1 is non zero complex set
(- 1) * x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b - x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
diffcomplex .: (b,x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46(a) FinSequence-like FinSubsequence-like complex-valued Element of a -tuples_on COMPLEX
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46(a) FinSequence-like FinSubsequence-like complex-valued Element of a -tuples_on COMPLEX
b + x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
addcomplex .: (b,x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46(a) FinSequence-like FinSubsequence-like complex-valued Element of a -tuples_on COMPLEX
x is complex set
x * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
y is complex Element of COMPLEX
y * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
multcomplex [;] (y,(id COMPLEX)) is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
(multcomplex [;] (y,(id COMPLEX))) * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a is complex set
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (a * b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(len b) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
y is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len b) FinSequence-like FinSubsequence-like complex-valued Element of (len b) -tuples_on COMPLEX
z is complex Element of COMPLEX
((len b),y,z) is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len b) FinSequence-like FinSubsequence-like complex-valued Element of (len b) -tuples_on COMPLEX
len ((len b),y,z) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
dom a is V64() V65() V66() V67() V68() V69() Element of bool NAT
- a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
dom (- a) is V64() V65() V66() V67() V68() V69() Element of bool NAT
a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len (- a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
dom (- a) is V64() V65() V66() V67() V68() V69() Element of bool NAT
dom a is V64() V65() V66() V67() V68() V69() Element of bool NAT
a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
rng a is V64() set
a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a + b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len (a + b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(len a) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
y is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
z is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
((len a),y,z) is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
dom ((len a),y,z) is V64() V65() V66() V67() V68() V69() Element of bool NAT
Seg (len a) is V39() V46( len a) V64() V65() V66() V67() V68() V69() Element of bool NAT
a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a - b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len (a - b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(len a) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
y is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
z is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
((len a),y,z) is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
- z is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * z is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
y + (- z) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
dom ((len a),y,z) is V64() V65() V66() V67() V68() V69() Element of bool NAT
Seg (len a) is V39() V46( len a) V64() V65() V66() V67() V68() V69() Element of bool NAT
a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
COMPLEX (len a) is functional FinSequence-membered FinSequenceSet of COMPLEX
{ b₁ where b₁ is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued Element of COMPLEX * : len b₁ = len a } is set
(len a) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46(a) FinSequence-like FinSubsequence-like complex-valued Element of a -tuples_on COMPLEX
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46(a) FinSequence-like FinSubsequence-like complex-valued Element of a -tuples_on COMPLEX
(a,b,x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46(a) FinSequence-like FinSubsequence-like complex-valued Element of a -tuples_on COMPLEX
- x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (- x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a - b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- 1 is non zero complex V34() V35() V36() ext-real Element of INT
a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46(a) FinSequence-like FinSubsequence-like complex-valued Element of a -tuples_on COMPLEX
(a,b,(- 1)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46(a) FinSequence-like FinSubsequence-like complex-valued Element of a -tuples_on COMPLEX
- b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- b) . a is complex Element of COMPLEX
b . a is complex Element of COMPLEX
- (b . a) is complex Element of COMPLEX
dom (- b) is V64() V65() V66() V67() V68() V69() Element of bool NAT
dom b is V64() V65() V66() V67() V68() V69() Element of bool NAT
- 0 is complex V34() V35() V36() ext-real Element of INT
dom (- b) is V64() V65() V66() V67() V68() V69() Element of bool NAT
compcomplex * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
compcomplex . (b . a) is complex Element of COMPLEX
dom (- b) is V64() V65() V66() V67() V68() V69() Element of bool NAT
a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46(a) FinSequence-like FinSubsequence-like complex-valued Element of a -tuples_on COMPLEX
- b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
compcomplex * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
x is complex Element of COMPLEX
y is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46(a) FinSequence-like FinSubsequence-like complex-valued Element of a -tuples_on COMPLEX
b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
y . b is complex Element of COMPLEX
(a,y) is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46(a) FinSequence-like FinSubsequence-like complex-valued Element of a -tuples_on COMPLEX
(- 1) * y is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a,y) . b is complex Element of COMPLEX
- x is complex Element of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
dom a is V64() V65() V66() V67() V68() V69() Element of bool NAT
b is complex set
b * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
dom (b * a) is V64() V65() V66() V67() V68() V69() Element of bool NAT
b multcomplex is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
dom (b multcomplex) is set
rng a is V64() set
(b multcomplex) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
dom ((b multcomplex) * a) is V64() V65() V66() V67() V68() V69() Element of bool NAT
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b is natural complex ext-real set
a . b is complex Element of COMPLEX
x is complex set
x * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(x * a) . b is complex Element of COMPLEX
x * (a . b) is complex Element of COMPLEX
dom (x * a) is V64() V65() V66() V67() V68() V69() Element of bool NAT
dom a is V64() V65() V66() V67() V68() V69() Element of bool NAT
x * 0 is complex Element of COMPLEX
dom (x * a) is V64() V65() V66() V67() V68() V69() Element of bool NAT
y is complex Element of COMPLEX
multcomplex [;] (y,(id COMPLEX)) is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
(multcomplex [;] (y,(id COMPLEX))) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
dom (multcomplex [;] (y,(id COMPLEX))) is set
(multcomplex [;] (y,(id COMPLEX))) . (a . b) is complex Element of COMPLEX
(id COMPLEX) . (a . b) is complex Element of COMPLEX
multcomplex . (x,((id COMPLEX) . (a . b))) is set
multcomplex . (y,(a . b)) is complex Element of COMPLEX
dom (x * a) is V64() V65() V66() V67() V68() V69() Element of bool NAT
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b is complex set
b * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((b * a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b *' is complex Element of COMPLEX
(b *') * (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len ((b *') * (a)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (b * a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
y is natural complex ext-real set
len ((b * a)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
((b * a)) . y is complex Element of COMPLEX
(b * a) . y is complex Element of COMPLEX
((b * a) . y) *' is complex Element of COMPLEX
x is complex Element of COMPLEX
a . y is complex Element of COMPLEX
x * (a . y) is complex Element of COMPLEX
(x * (a . y)) *' is complex Element of COMPLEX
x *' is complex Element of COMPLEX
(a . y) *' is complex Element of COMPLEX
(x *') * ((a . y) *') is complex Element of COMPLEX
(a) . y is complex Element of COMPLEX
(b *') * ((a) . y) is complex Element of COMPLEX
((b *') * (a)) . y is complex Element of COMPLEX
a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46(a) FinSequence-like FinSubsequence-like complex-valued Element of a -tuples_on COMPLEX
x . b is complex Element of COMPLEX
y is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46(a) FinSequence-like FinSubsequence-like complex-valued Element of a -tuples_on COMPLEX
(a,x,y) is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46(a) FinSequence-like FinSubsequence-like complex-valued Element of a -tuples_on COMPLEX
(a,x,y) . b is complex Element of COMPLEX
y . b is complex Element of COMPLEX
(x . b) + (y . b) is complex Element of COMPLEX
Seg a is V39() V46(a) V64() V65() V66() V67() V68() V69() Element of bool NAT
dom y is V64() V65() V66() V67() V68() V69() Element of bool NAT
dom x is V64() V65() V66() V67() V68() V69() Element of bool NAT
dom (a,x,y) is V64() V65() V66() V67() V68() V69() Element of bool NAT
0 + 0 is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(x . b) + 0 is complex Element of COMPLEX
Seg a is V39() V46(a) V64() V65() V66() V67() V68() V69() Element of bool NAT
dom (a,x,y) is V64() V65() V66() V67() V68() V69() Element of bool NAT
Seg a is V39() V46(a) V64() V65() V66() V67() V68() V69() Element of bool NAT
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a + b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a + b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(len a) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
(len b) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(len (a)) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
len (b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(len (b)) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
len (a + b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x19 is natural complex ext-real set
len ((a + b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
((a + b)) . x19 is complex Element of COMPLEX
(a + b) . x19 is complex Element of COMPLEX
((a + b) . x19) *' is complex Element of COMPLEX
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
x . x19 is complex Element of COMPLEX
y is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len b) FinSequence-like FinSubsequence-like complex-valued Element of (len b) -tuples_on COMPLEX
y . x19 is complex Element of COMPLEX
(x . x19) + (y . x19) is complex Element of COMPLEX
((x . x19) + (y . x19)) *' is complex Element of COMPLEX
a . x19 is complex Element of COMPLEX
(a . x19) *' is complex Element of COMPLEX
b . x19 is complex Element of COMPLEX
(b . x19) *' is complex Element of COMPLEX
((a . x19) *') + ((b . x19) *') is complex Element of COMPLEX
(a) . x19 is complex Element of COMPLEX
((a) . x19) + ((b . x19) *') is complex Element of COMPLEX
(b) . x19 is complex Element of COMPLEX
((a) . x19) + ((b) . x19) is complex Element of COMPLEX
z is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len (a)) FinSequence-like FinSubsequence-like complex-valued Element of (len (a)) -tuples_on COMPLEX
y2 is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len (b)) FinSequence-like FinSubsequence-like complex-valued Element of (len (b)) -tuples_on COMPLEX
z + y2 is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(z + y2) . x19 is complex Element of COMPLEX
len ((a) + (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46(a) FinSequence-like FinSubsequence-like complex-valued Element of a -tuples_on COMPLEX
x . b is complex Element of COMPLEX
y is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46(a) FinSequence-like FinSubsequence-like complex-valued Element of a -tuples_on COMPLEX
(a,x,y) is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46(a) FinSequence-like FinSubsequence-like complex-valued Element of a -tuples_on COMPLEX
- y is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * y is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
x + (- y) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a,x,y) . b is complex Element of COMPLEX
y . b is complex Element of COMPLEX
(x . b) - (y . b) is complex Element of COMPLEX
Seg a is V39() V46(a) V64() V65() V66() V67() V68() V69() Element of bool NAT
dom y is V64() V65() V66() V67() V68() V69() Element of bool NAT
dom x is V64() V65() V66() V67() V68() V69() Element of bool NAT
dom (a,x,y) is V64() V65() V66() V67() V68() V69() Element of bool NAT
0 - 0 is complex V34() V35() V36() ext-real Element of INT
(x . b) - 0 is complex Element of COMPLEX
Seg a is V39() V46(a) V64() V65() V66() V67() V68() V69() Element of bool NAT
dom (a,x,y) is V64() V65() V66() V67() V68() V69() Element of bool NAT
Seg a is V39() V46(a) V64() V65() V66() V67() V68() V69() Element of bool NAT
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a - b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((a - b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a) + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(len a) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
(len b) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(len (a)) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
len (b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(len (b)) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
len (a - b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x19 is natural complex ext-real set
len ((a - b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
((a - b)) . x19 is complex Element of COMPLEX
(a - b) . x19 is complex Element of COMPLEX
((a - b) . x19) *' is complex Element of COMPLEX
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
x . x19 is complex Element of COMPLEX
y is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len b) FinSequence-like FinSubsequence-like complex-valued Element of (len b) -tuples_on COMPLEX
y . x19 is complex Element of COMPLEX
(x . x19) - (y . x19) is complex Element of COMPLEX
((x . x19) - (y . x19)) *' is complex Element of COMPLEX
a . x19 is complex Element of COMPLEX
(a . x19) *' is complex Element of COMPLEX
b . x19 is complex Element of COMPLEX
(b . x19) *' is complex Element of COMPLEX
((a . x19) *') - ((b . x19) *') is complex Element of COMPLEX
(a) . x19 is complex Element of COMPLEX
((a) . x19) - ((b . x19) *') is complex Element of COMPLEX
(b) . x19 is complex Element of COMPLEX
((a) . x19) - ((b) . x19) is complex Element of COMPLEX
z is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len (a)) FinSequence-like FinSubsequence-like complex-valued Element of (len (a)) -tuples_on COMPLEX
y2 is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len (b)) FinSequence-like FinSubsequence-like complex-valued Element of (len (b)) -tuples_on COMPLEX
z - y2 is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- y2 is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * y2 is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
z + (- y2) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(z - y2) . x19 is complex Element of COMPLEX
len ((a) - (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is natural complex ext-real set
len ((a)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(a) . b is complex Element of COMPLEX
a . b is complex Element of COMPLEX
(a . b) *' is complex Element of COMPLEX
((a)) . b is complex Element of COMPLEX
((a . b) *') *' is complex Element of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((- a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- 1r is complex Element of COMPLEX
(- 1r) *' is complex Element of COMPLEX
((- 1r) *') * (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a is complex set
a *' is complex Element of COMPLEX
a + (a *') is complex Element of COMPLEX
Re a is complex V34() ext-real Element of REAL
2 * (Re a) is complex V34() ext-real Element of REAL
Re (a *') is complex V34() ext-real Element of REAL
(Re a) + (Re (a *')) is complex V34() ext-real Element of REAL
Im a is complex V34() ext-real Element of REAL
Im (a *') is complex V34() ext-real Element of REAL
(Im a) + (Im (a *')) is complex V34() ext-real Element of REAL
((Im a) + (Im (a *'))) * <i> is complex Element of COMPLEX
((Re a) + (Re (a *'))) + (((Im a) + (Im (a *'))) * <i>) is complex Element of COMPLEX
- (Im a) is complex V34() ext-real Element of REAL
(Im a) + (- (Im a)) is complex V34() ext-real Element of REAL
((Im a) + (- (Im a))) * <i> is complex Element of COMPLEX
((Re a) + (Re (a *'))) + (((Im a) + (- (Im a))) * <i>) is complex Element of COMPLEX
(Re a) + (Re a) is complex V34() ext-real Element of REAL
a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b - x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(b - x) . a is complex Element of COMPLEX
b . a is complex Element of COMPLEX
x . a is complex Element of COMPLEX
(b . a) - (x . a) is complex Element of COMPLEX
(len b) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
(len x) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
y is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len b) FinSequence-like FinSubsequence-like complex-valued Element of (len b) -tuples_on COMPLEX
z is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len x) FinSequence-like FinSubsequence-like complex-valued Element of (len x) -tuples_on COMPLEX
y - z is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- z is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * z is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
y + (- z) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len (y - z) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(len (y - z)) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
len (b - x) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
Seg (len b) is V39() V46( len b) V64() V65() V66() V67() V68() V69() Element of bool NAT
dom y is V64() V65() V66() V67() V68() V69() Element of bool NAT
dom z is V64() V65() V66() V67() V68() V69() Element of bool NAT
y2 is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len (y - z)) FinSequence-like FinSubsequence-like complex-valued Element of (len (y - z)) -tuples_on COMPLEX
dom y2 is V64() V65() V66() V67() V68() V69() Element of bool NAT
(y - z) . a is complex Element of COMPLEX
0 - 0 is complex V34() V35() V36() ext-real Element of INT
y . a is complex Element of COMPLEX
(y . a) - 0 is complex Element of COMPLEX
z . a is complex Element of COMPLEX
(y . a) - (z . a) is complex Element of COMPLEX
Seg (len b) is V39() V46( len b) V64() V65() V66() V67() V68() V69() Element of bool NAT
y2 is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len (y - z)) FinSequence-like FinSubsequence-like complex-valued Element of (len (y - z)) -tuples_on COMPLEX
dom y2 is V64() V65() V66() V67() V68() V69() Element of bool NAT
Seg (len b) is V39() V46( len b) V64() V65() V66() V67() V68() V69() Element of bool NAT
a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b + x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(b + x) . a is complex Element of COMPLEX
b . a is complex Element of COMPLEX
x . a is complex Element of COMPLEX
(b . a) + (x . a) is complex Element of COMPLEX
(len b) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
(len x) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
y is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len b) FinSequence-like FinSubsequence-like complex-valued Element of (len b) -tuples_on COMPLEX
z is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len x) FinSequence-like FinSubsequence-like complex-valued Element of (len x) -tuples_on COMPLEX
y + z is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (y + z) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(len (y + z)) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
len (b + x) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
Seg (len b) is V39() V46( len b) V64() V65() V66() V67() V68() V69() Element of bool NAT
dom y is V64() V65() V66() V67() V68() V69() Element of bool NAT
dom z is V64() V65() V66() V67() V68() V69() Element of bool NAT
y2 is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len (y + z)) FinSequence-like FinSubsequence-like complex-valued Element of (len (y + z)) -tuples_on COMPLEX
dom y2 is V64() V65() V66() V67() V68() V69() Element of bool NAT
(y + z) . a is complex Element of COMPLEX
0 + 0 is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
y . a is complex Element of COMPLEX
(y . a) + 0 is complex Element of COMPLEX
z . a is complex Element of COMPLEX
(y . a) + (z . a) is complex Element of COMPLEX
Seg (len b) is V39() V46( len b) V64() V65() V66() V67() V68() V69() Element of bool NAT
y2 is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len (y + z)) FinSequence-like FinSubsequence-like complex-valued Element of (len (y + z)) -tuples_on COMPLEX
dom y2 is V64() V65() V66() V67() V68() V69() Element of bool NAT
Seg (len b) is V39() V46( len b) V64() V65() V66() V67() V68() V69() Element of bool NAT
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
1 / 2 is non zero complex V34() V36() ext-real Element of RAT
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len ((1 / 2) * (a + (a))) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a + (a)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
rng ((1 / 2) * (a + (a))) is V64() set
b is set
dom ((1 / 2) * (a + (a))) is V64() V65() V66() V67() V68() V69() Element of bool NAT
x is set
((1 / 2) * (a + (a))) . x is complex Element of COMPLEX
Seg (len ((1 / 2) * (a + (a)))) is V39() V46( len ((1 / 2) * (a + (a)))) V64() V65() V66() V67() V68() V69() Element of bool NAT
y is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
((1 / 2) * (a + (a))) . y is complex Element of COMPLEX
(a + (a)) . y is complex Element of COMPLEX
(1 / 2) * ((a + (a)) . y) is complex Element of COMPLEX
a . y is complex Element of COMPLEX
(a) . y is complex Element of COMPLEX
(a . y) + ((a) . y) is complex Element of COMPLEX
(1 / 2) * ((a . y) + ((a) . y)) is complex Element of COMPLEX
(a . y) *' is complex Element of COMPLEX
(a . y) + ((a . y) *') is complex Element of COMPLEX
(1 / 2) * ((a . y) + ((a . y) *')) is complex Element of COMPLEX
Re (a . y) is complex V34() ext-real Element of REAL
2 * (Re (a . y)) is complex V34() ext-real Element of REAL
(1 / 2) * (2 * (Re (a . y))) is complex V34() ext-real Element of REAL
a is complex set
a *' is complex Element of COMPLEX
a - (a *') is complex Element of COMPLEX
Im a is complex V34() ext-real Element of REAL
2 * (Im a) is complex V34() ext-real Element of REAL
(2 * (Im a)) * <i> is complex Element of COMPLEX
Re a is complex V34() ext-real Element of REAL
Re (a *') is complex V34() ext-real Element of REAL
(Re a) - (Re (a *')) is complex V34() ext-real Element of REAL
Im (a *') is complex V34() ext-real Element of REAL
(Im a) - (Im (a *')) is complex V34() ext-real Element of REAL
((Im a) - (Im (a *'))) * <i> is complex Element of COMPLEX
((Re a) - (Re (a *'))) + (((Im a) - (Im (a *'))) * <i>) is complex Element of COMPLEX
- (Im a) is complex V34() ext-real Element of REAL
(Im a) - (- (Im a)) is complex V34() ext-real Element of REAL
((Im a) - (- (Im a))) * <i> is complex Element of COMPLEX
((Re a) - (Re (a *'))) + (((Im a) - (- (Im a))) * <i>) is complex Element of COMPLEX
(Re a) - (Re a) is complex V34() ext-real Element of REAL
((Re a) - (Re a)) + (((Im a) - (- (Im a))) * <i>) is complex Element of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(1 / 2) * <i> is complex Element of COMPLEX
- ((1 / 2) * <i>) is complex Element of COMPLEX
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len ((- ((1 / 2) * <i>)) * (a - (a))) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a - (a)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
rng ((- ((1 / 2) * <i>)) * (a - (a))) is V64() set
b is set
dom ((- ((1 / 2) * <i>)) * (a - (a))) is V64() V65() V66() V67() V68() V69() Element of bool NAT
x is set
((- ((1 / 2) * <i>)) * (a - (a))) . x is complex Element of COMPLEX
Seg (len ((- ((1 / 2) * <i>)) * (a - (a)))) is V39() V46( len ((- ((1 / 2) * <i>)) * (a - (a)))) V64() V65() V66() V67() V68() V69() Element of bool NAT
y is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
((- ((1 / 2) * <i>)) * (a - (a))) . y is complex Element of COMPLEX
(a - (a)) . y is complex Element of COMPLEX
(- ((1 / 2) * <i>)) * ((a - (a)) . y) is complex Element of COMPLEX
a . y is complex Element of COMPLEX
(a) . y is complex Element of COMPLEX
(a . y) - ((a) . y) is complex Element of COMPLEX
(- ((1 / 2) * <i>)) * ((a . y) - ((a) . y)) is complex Element of COMPLEX
(a . y) *' is complex Element of COMPLEX
(a . y) - ((a . y) *') is complex Element of COMPLEX
(- ((1 / 2) * <i>)) * ((a . y) - ((a . y) *')) is complex Element of COMPLEX
Im (a . y) is complex V34() ext-real Element of REAL
2 * (Im (a . y)) is complex V34() ext-real Element of REAL
(2 * (Im (a . y))) * <i> is complex Element of COMPLEX
(- ((1 / 2) * <i>)) * ((2 * (Im (a . y))) * <i>) is complex Element of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
|((a),(b))| - (<i> * |((a),(b))|) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
(|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|) is complex Element of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
((|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|)) + |((a),(b))| is complex Element of COMPLEX
a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b + x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (b + x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a + b) + x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(len x) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
y2 is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(len b) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
z is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(len a) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
y is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
z + y2 is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
addcomplex .: (y,(z + y2)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
addcomplex .: (z,y2) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
addcomplex .: (y,(addcomplex .: (z,y2))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
y19 is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
x29 is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len b) FinSequence-like FinSubsequence-like complex-valued Element of (len b) -tuples_on COMPLEX
addcomplex .: (y19,x29) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x19 is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len x) FinSequence-like FinSubsequence-like complex-valued Element of (len x) -tuples_on COMPLEX
addcomplex .: ((addcomplex .: (y19,x29)),x19) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
y + z is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
addcomplex .: ((y + z),y2) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a + b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a is complex set
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b + x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a * (b + x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a * x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a * b) + (a * x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a multcomplex is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
(len x) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
(len b) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
(a multcomplex) * (b + x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
addcomplex .: (b,x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a multcomplex) * (addcomplex .: (b,x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
y2 is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len b) FinSequence-like FinSubsequence-like complex-valued Element of (len b) -tuples_on COMPLEX
(a multcomplex) * y2 is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
z is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len x) FinSequence-like FinSubsequence-like complex-valued Element of (len x) -tuples_on COMPLEX
(a multcomplex) * z is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
addcomplex .: (((a multcomplex) * y2),((a multcomplex) * z)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a multcomplex) * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a multcomplex) * x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a multcomplex) * b) + ((a multcomplex) * x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a * b) + ((a multcomplex) * x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a - b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a + b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
0c (len a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued Element of COMPLEX (len a)
COMPLEX (len a) is functional FinSequence-membered FinSequenceSet of COMPLEX
- b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(len a) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(len b) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
y is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
addcomplex .: (x,y) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
compcomplex * y is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(len a) |-> 0c is Relation-like empty-yielding NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
z is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
y2 is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len b) FinSequence-like FinSubsequence-like complex-valued Element of (len b) -tuples_on COMPLEX
((len b),y2) is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len b) FinSequence-like FinSubsequence-like complex-valued Element of (len b) -tuples_on COMPLEX
(- 1) * y2 is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
0c (len a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued Element of COMPLEX (len a)
COMPLEX (len a) is functional FinSequence-membered FinSequenceSet of COMPLEX
a + (0c (len a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(len a) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
(len a) |-> 0c is Relation-like empty-yielding NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
a + ((len a) |-> 0c) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
addcomplex .: (a,((len a) |-> 0c)) is set
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
0c (len a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued Element of COMPLEX (len a)
COMPLEX (len a) is functional FinSequence-membered FinSequenceSet of COMPLEX
(len a) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
addcomplex .: (a,(- a)) is set
a * compcomplex is Relation-like Function-like complex-valued set
addcomplex .: (a,(a * compcomplex)) is set
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(len b) |-> 0c is Relation-like empty-yielding NAT -defined COMPLEX -valued Function-like V39() V46( len b) FinSequence-like FinSubsequence-like complex-valued Element of (len b) -tuples_on COMPLEX
(len b) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
0c (len b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued Element of COMPLEX (len b)
COMPLEX (len b) is functional FinSequence-membered FinSequenceSet of COMPLEX
a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a + b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- (a + b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a + b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- a) + (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len (- b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len ((- a) + (- b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (- a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a + b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(a + b) + ((- a) + (- b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(b + a) + (- a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((b + a) + (- a)) + (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (a + (- a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(b + (a + (- a))) + (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
0c (len a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued Element of COMPLEX (len a)
COMPLEX (len a) is functional FinSequence-membered FinSequenceSet of COMPLEX
b + (0c (len a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(b + (0c (len a))) + (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
0c (len b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued Element of COMPLEX (len b)
COMPLEX (len b) is functional FinSequence-membered FinSequenceSet of COMPLEX
a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a - b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a - b) - x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a - b) + (- x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a - (b + x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- (b + x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b + x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (b + x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len (- b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (- x) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(- b) + (- x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + ((- b) + (- x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b - x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (b - x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a + b) - x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a + b) + (- x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len (- x) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a - b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- (a - b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a - b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- a) + b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len (- b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
- (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- a) + (- (- b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b - x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a - (b - x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- (b - x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b - x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (b - x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a - b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a - b) + x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len (- b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(- b) + x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + ((- b) + x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
0c (len a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued Element of COMPLEX (len a)
COMPLEX (len a) is functional FinSequence-membered FinSequenceSet of COMPLEX
b is complex set
b * (0c (len a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
rng (0c (len a)) is V64() set
x is complex Element of COMPLEX
multcomplex [;] (x,(id COMPLEX)) is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
(multcomplex [;] (x,(id COMPLEX))) * (0c (len a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(id COMPLEX) * (0c (len a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
multcomplex [;] (x,((id COMPLEX) * (0c (len a)))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
multcomplex [;] (x,(0c (len a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(len a) |-> 0c is Relation-like empty-yielding NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
(len a) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
multcomplex [;] (x,((len a) |-> 0c)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
multcomplex . (x,0c) is complex Element of COMPLEX
(len a) |-> (multcomplex . (x,0c)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
x * 0c is complex Element of COMPLEX
(len a) |-> (x * 0c) is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b is complex set
b * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b * a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * (b * a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b * (- a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (b * (- a)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (- a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (b * a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(b * (- a)) + (b * a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (- a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b * (a + (- a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
0c (len a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued Element of COMPLEX (len a)
COMPLEX (len a) is functional FinSequence-membered FinSequenceSet of COMPLEX
b * (0c (len a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a is complex set
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b - x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a * (b - x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a * x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a * b) - (a * x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a * x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a * x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a * b) + (- (a * x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(len x) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
(len b) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
y is complex Element of COMPLEX
y multcomplex is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
- x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (- x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(y multcomplex) * (b + (- x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
addcomplex .: (b,(- x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(y multcomplex) * (addcomplex .: (b,(- x))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
y2 is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len b) FinSequence-like FinSubsequence-like complex-valued Element of (len b) -tuples_on COMPLEX
(y multcomplex) * y2 is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
z is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len x) FinSequence-like FinSubsequence-like complex-valued Element of (len x) -tuples_on COMPLEX
((len x),z) is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len x) FinSequence-like FinSubsequence-like complex-valued Element of (len x) -tuples_on COMPLEX
(- 1) * z is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(y multcomplex) * ((len x),z) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
addcomplex .: (((y multcomplex) * y2),((y multcomplex) * ((len x),z))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(y multcomplex) * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(y multcomplex) * (- x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((y multcomplex) * b) + ((y multcomplex) * (- x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a * b) + ((y multcomplex) * (- x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a * (- x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a * b) + (a * (- x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a is complex Element of COMPLEX
b is complex Element of COMPLEX
addcomplex . (a,b) is complex Element of COMPLEX
x is complex V34() ext-real Element of REAL
y is complex V34() ext-real Element of REAL
addreal . (x,y) is complex V34() ext-real Element of REAL
a + b is complex Element of COMPLEX
a is Relation-like [:COMPLEX,COMPLEX:] -defined COMPLEX -valued Function-like V14([:COMPLEX,COMPLEX:]) V18([:COMPLEX,COMPLEX:], COMPLEX ) complex-valued Element of bool [:[:COMPLEX,COMPLEX:],COMPLEX:]
b is Relation-like [:REAL,REAL:] -defined REAL -valued Function-like V14([:REAL,REAL:]) V18([:REAL,REAL:], REAL ) complex-valued ext-real-valued real-valued Element of bool [:[:REAL,REAL:],REAL:]
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
y is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
dom x is V64() V65() V66() V67() V68() V69() Element of bool NAT
a .: (x,y) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
z is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
y2 is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
len y2 is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b .: (z,y2) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
len (b .: (z,y2)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x19 is natural complex ext-real set
len (a .: (x,y)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
dom (b .: (z,y2)) is V64() V65() V66() V67() V68() V69() Element of bool NAT
dom (a .: (x,y)) is V64() V65() V66() V67() V68() V69() Element of bool NAT
(a .: (x,y)) . x19 is complex Element of COMPLEX
x . x19 is complex Element of COMPLEX
y . x19 is complex Element of COMPLEX
a . ((x . x19),(y . x19)) is complex Element of COMPLEX
z . x19 is complex V34() ext-real Element of REAL
y2 . x19 is complex V34() ext-real Element of REAL
b . ((z . x19),(y2 . x19)) is complex V34() ext-real Element of REAL
(b .: (z,y2)) . x19 is complex V34() ext-real Element of REAL
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
addcomplex .: (a,b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
y is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
len y is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
addreal .: (x,y) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
dom a is V64() V65() V66() V67() V68() V69() Element of bool NAT
z is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a . z is complex Element of COMPLEX
b . z is complex Element of COMPLEX
addcomplex . ((a . z),(b . z)) is complex Element of COMPLEX
x . z is complex V34() ext-real Element of REAL
y . z is complex V34() ext-real Element of REAL
addreal . ((x . z),(y . z)) is complex V34() ext-real Element of REAL
(a . z) + (b . z) is complex Element of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
y is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len y is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a + b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x + y is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a - (a)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a + (a)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a + b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a + b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((a + b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a + b) + ((a + b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((a + b) + ((a + b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) + (b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((a + b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a + b) - ((a + b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((a + b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((a + b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a + b) + (- ((a + b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((a + b) - ((a + b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) + (b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
- (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (- (a)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a + b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (b + (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a + (a)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a - (a)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (b - (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(a) + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a + b) + ((a) + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((a + b) + ((a) + (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a + b) + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a + b) + (a)) + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (((a + b) + (a)) + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a + (a)) + b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a + (a)) + b) + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (((a + (a)) + b) + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a + (a)) + (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((a + (a)) + (b + (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a + b) - ((a) + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((a) + (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((a) + (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a + b) + (- ((a) + (b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((a + b) - ((a) + (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a + b) - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a + b) + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((a + b) - (a)) - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a + b) - (a)) + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (((a + b) - (a)) - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (- (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a + (- (a))) + b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a + (- (a))) + b) - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a + (- (a))) + b) + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (((a + (- (a))) + b) - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a - (a)) + (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- ((1 / 2) * <i>)) * ((a - (a)) + (b - (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
diffcomplex .: (a,b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
y is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
len y is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
diffreal .: (x,y) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
dom a is V64() V65() V66() V67() V68() V69() Element of bool NAT
z is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a . z is complex Element of COMPLEX
b . z is complex Element of COMPLEX
diffcomplex . ((a . z),(b . z)) is complex Element of COMPLEX
x . z is complex V34() ext-real Element of REAL
y . z is complex V34() ext-real Element of REAL
diffreal . ((x . z),(y . z)) is complex V34() ext-real Element of REAL
(a . z) - (b . z) is complex Element of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
y is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len y is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a - b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
x - y is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
- y is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued set
(- 1) * y is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
x + (- y) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued set
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a - b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((a - b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((a - b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a - b) + ((a - b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((a - b) + ((a - b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) - (b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a) + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued set
((a - b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a - b) - ((a - b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((a - b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((a - b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a - b) + (- ((a - b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((a - b) - ((a - b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) - (b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a) + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued set
len (a - b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a + (a)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (b + (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(a) - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a - b) + ((a) - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((a - b) + ((a) - (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) + (a - b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a) + (a - b)) - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a) + (a - b)) + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(1 / 2) * (((a) + (a - b)) - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a - b) - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a - b) + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a) + ((a - b) - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((a) + ((a - b) - (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a - (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b + (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b + (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (b + (b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a) + (a - (b + (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((a) + (a - (b + (b)))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a + (a)) - (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a + (a)) + (- (b + (b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(1 / 2) * ((a + (a)) - (b + (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (a - (a)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (b - (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(a - b) - ((a) - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((a) - (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((a) - (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a - b) + (- ((a) - (b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((a - b) - ((a) - (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a - b) - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a - b) + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((a - b) - (a)) + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- ((1 / 2) * <i>)) * (((a - b) - (a)) + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) + b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a - ((a) + b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((a) + b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((a) + b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- ((a) + b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a - ((a) + b)) + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- ((1 / 2) * <i>)) * ((a - ((a) + b)) + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a - (a)) - b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a - (a)) + (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((a - (a)) - b) + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- ((1 / 2) * <i>)) * (((a - (a)) - b) + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a - (a)) - (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b - (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b - (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a - (a)) + (- (b - (b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((a - (a)) - (b - (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x is complex set
x * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b is complex set
b * (x * a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b * x is complex Element of COMPLEX
(b * x) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
y is complex Element of COMPLEX
z is complex Element of COMPLEX
y * z is complex Element of COMPLEX
multcomplex [;] ((y * z),(id COMPLEX)) is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
(multcomplex [;] ((y * z),(id COMPLEX))) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
multcomplex . (y,z) is complex Element of COMPLEX
multcomplex [;] ((multcomplex . (y,z)),(id COMPLEX)) is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
(multcomplex [;] ((multcomplex . (y,z)),(id COMPLEX))) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
multcomplex [;] (z,(id COMPLEX)) is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
multcomplex [;] (y,(multcomplex [;] (z,(id COMPLEX)))) is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
(multcomplex [;] (y,(multcomplex [;] (z,(id COMPLEX))))) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
multcomplex [;] (y,(id COMPLEX)) is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
(multcomplex [;] (y,(id COMPLEX))) * (multcomplex [;] (z,(id COMPLEX))) is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
((multcomplex [;] (y,(id COMPLEX))) * (multcomplex [;] (z,(id COMPLEX)))) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(multcomplex [;] (z,(id COMPLEX))) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(multcomplex [;] (y,(id COMPLEX))) * ((multcomplex [;] (z,(id COMPLEX))) * a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(multcomplex [;] (y,(id COMPLEX))) * (x * a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
0c (len a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued Element of COMPLEX (len a)
COMPLEX (len a) is functional FinSequence-membered FinSequenceSet of COMPLEX
- (0c (len a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued Element of COMPLEX (len a)
(- 1) * (0c (len a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(len a) |-> 0c is Relation-like empty-yielding NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
(len a) -tuples_on COMPLEX is functional non zero FinSequence-membered FinSequenceSet of COMPLEX
((len a),((len a) |-> 0c)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
(- 1) * ((len a) |-> 0c) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
compcomplex * ((len a) |-> 0c) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
compcomplex . 0c is complex Element of COMPLEX
(len a) |-> (compcomplex . 0c) is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
- 0c is complex Element of COMPLEX
(len a) |-> (- 0c) is Relation-like NAT -defined COMPLEX -valued Function-like V39() V46( len a) FinSequence-like FinSubsequence-like complex-valued Element of (len a) -tuples_on COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b is complex set
- b is complex Element of COMPLEX
(- b) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b * a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * (b * a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len ((- b) * a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (b * a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
((- b) * a) + (b * a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * b is complex Element of COMPLEX
((- 1) * b) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((- 1) * b) * a) + (b * a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- (b * a)) + (b * a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b * a) - (b * a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b * a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(b * a) + (- (b * a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- ((b * a) - (b * a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * ((b * a) - (b * a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
0c (len a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued Element of COMPLEX (len a)
COMPLEX (len a) is functional FinSequence-membered FinSequenceSet of COMPLEX
- (0c (len a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued Element of COMPLEX (len a)
(- 1) * (0c (len a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
b is Relation-like REAL -defined REAL -valued Function-like non zero V14( REAL ) V18( REAL , REAL ) complex-valued ext-real-valued real-valued Element of bool [:REAL,REAL:]
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
dom x is V64() V65() V66() V67() V68() V69() Element of bool NAT
a * x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
y is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
len y is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b * y is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
len (b * y) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
z is natural complex ext-real set
len (a * x) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
dom (b * y) is V64() V65() V66() V67() V68() V69() Element of bool NAT
dom (a * x) is V64() V65() V66() V67() V68() V69() Element of bool NAT
(a * x) . z is complex Element of COMPLEX
x . z is complex Element of COMPLEX
a . (x . z) is complex Element of COMPLEX
y . z is complex V34() ext-real Element of REAL
b . (y . z) is complex V34() ext-real Element of REAL
(b * y) . z is complex V34() ext-real Element of REAL
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
compcomplex * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
compreal * b is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
dom a is V64() V65() V66() V67() V68() V69() Element of bool NAT
x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a . x is complex Element of COMPLEX
compcomplex . (a . x) is complex Element of COMPLEX
b . x is complex V34() ext-real Element of REAL
compreal . (b . x) is complex V34() ext-real Element of REAL
- (a . x) is complex Element of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
- a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- b is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
<i> * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((<i> * a)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((<i> * a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(<i> * a) + ((<i> * a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((<i> * a) + ((<i> * a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((<i> * a)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(<i> * a) - ((<i> * a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((<i> * a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((<i> * a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(<i> * a) + (- ((<i> * a))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((<i> * a) - ((<i> * a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
- <i> is complex Element of COMPLEX
(- <i>) * (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(<i> * a) - ((- <i>) * (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((- <i>) * (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((- <i>) * (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(<i> * a) + (- ((- <i>) * (a))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- (1 / 2) is non zero complex V34() V36() ext-real Element of RAT
(- (1 / 2)) * <i> is complex Element of COMPLEX
((- (1 / 2)) * <i>) * ((<i> * a) - ((- <i>) * (a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
<i> * (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (<i> * (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * (<i> * (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- (- (<i> * (a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * (- (<i> * (a))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(<i> * a) + (- (- (<i> * (a)))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((- (1 / 2)) * <i>) * ((<i> * a) + (- (- (<i> * (a))))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
<i> * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((- (1 / 2)) * <i>) * (<i> * (a + (a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((- (1 / 2)) * <i>) * <i> is complex Element of COMPLEX
(((- (1 / 2)) * <i>) * <i>) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(<i> * a) + ((- <i>) * (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((<i> * a) + ((- <i>) * (a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(<i> * a) - (<i> * (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (<i> * (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(<i> * a) + (- (<i> * (a))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(1 / 2) * ((<i> * a) - (<i> * (a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
<i> * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (<i> * (a - (a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((1 / 2) * <i>) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * ((- (1 / 2)) * <i>) is complex Element of COMPLEX
((- 1) * ((- (1 / 2)) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
<i> * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((<i> * a),b) is complex Element of COMPLEX
((<i> * a)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((<i> * a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(<i> * a) + ((<i> * a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((<i> * a) + ((<i> * a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((<i> * a)),(b))| is complex V34() ext-real Element of REAL
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((<i> * a)),(b))| is complex V34() ext-real Element of REAL
<i> * |(((<i> * a)),(b))| is complex Element of COMPLEX
|(((<i> * a)),(b))| - (<i> * |(((<i> * a)),(b))|) is complex Element of COMPLEX
((<i> * a)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(<i> * a) - ((<i> * a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((<i> * a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((<i> * a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(<i> * a) + (- ((<i> * a))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((<i> * a) - ((<i> * a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((<i> * a)),(b))| is complex V34() ext-real Element of REAL
<i> * |(((<i> * a)),(b))| is complex Element of COMPLEX
(|(((<i> * a)),(b))| - (<i> * |(((<i> * a)),(b))|)) + (<i> * |(((<i> * a)),(b))|) is complex Element of COMPLEX
|(((<i> * a)),(b))| is complex V34() ext-real Element of REAL
((|(((<i> * a)),(b))| - (<i> * |(((<i> * a)),(b))|)) + (<i> * |(((<i> * a)),(b))|)) + |(((<i> * a)),(b))| is complex Element of COMPLEX
(a,b) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
|((a),(b))| - (<i> * |((a),(b))|) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
(|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|) is complex Element of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
((|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|)) + |((a),(b))| is complex Element of COMPLEX
<i> * (a,b) is complex Element of COMPLEX
len (b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
- (a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
|((- (a)),(b))| is complex V34() ext-real Element of REAL
|((- (a)),(b))| - (<i> * |(((<i> * a)),(b))|) is complex Element of COMPLEX
(|((- (a)),(b))| - (<i> * |(((<i> * a)),(b))|)) + (<i> * |(((<i> * a)),(b))|) is complex Element of COMPLEX
((|((- (a)),(b))| - (<i> * |(((<i> * a)),(b))|)) + (<i> * |(((<i> * a)),(b))|)) + |(((<i> * a)),(b))| is complex Element of COMPLEX
|((- (a)),(b))| is complex V34() ext-real Element of REAL
<i> * |((- (a)),(b))| is complex Element of COMPLEX
|((- (a)),(b))| - (<i> * |((- (a)),(b))|) is complex Element of COMPLEX
(|((- (a)),(b))| - (<i> * |((- (a)),(b))|)) + (<i> * |(((<i> * a)),(b))|) is complex Element of COMPLEX
((|((- (a)),(b))| - (<i> * |((- (a)),(b))|)) + (<i> * |(((<i> * a)),(b))|)) + |(((<i> * a)),(b))| is complex Element of COMPLEX
<i> * |((a),(b))| is complex Element of COMPLEX
(|((- (a)),(b))| - (<i> * |((- (a)),(b))|)) + (<i> * |((a),(b))|) is complex Element of COMPLEX
((|((- (a)),(b))| - (<i> * |((- (a)),(b))|)) + (<i> * |((a),(b))|)) + |(((<i> * a)),(b))| is complex Element of COMPLEX
((|((- (a)),(b))| - (<i> * |((- (a)),(b))|)) + (<i> * |((a),(b))|)) + |((a),(b))| is complex Element of COMPLEX
- |((a),(b))| is complex V34() ext-real Element of REAL
(- |((a),(b))|) - (<i> * |((- (a)),(b))|) is complex Element of COMPLEX
((- |((a),(b))|) - (<i> * |((- (a)),(b))|)) + (<i> * |((a),(b))|) is complex Element of COMPLEX
(((- |((a),(b))|) - (<i> * |((- (a)),(b))|)) + (<i> * |((a),(b))|)) + |((a),(b))| is complex Element of COMPLEX
- |((a),(b))| is complex V34() ext-real Element of REAL
<i> * (- |((a),(b))|) is complex Element of COMPLEX
(- |((a),(b))|) - (<i> * (- |((a),(b))|)) is complex Element of COMPLEX
((- |((a),(b))|) - (<i> * (- |((a),(b))|))) + (<i> * |((a),(b))|) is complex Element of COMPLEX
(((- |((a),(b))|) - (<i> * (- |((a),(b))|))) + (<i> * |((a),(b))|)) + |((a),(b))| is complex Element of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
<i> * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a,(<i> * b)) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((<i> * b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((<i> * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(<i> * b) + ((<i> * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((<i> * b) + ((<i> * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),((<i> * b)))| is complex V34() ext-real Element of REAL
((<i> * b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(<i> * b) - ((<i> * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((<i> * b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((<i> * b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(<i> * b) + (- ((<i> * b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((<i> * b) - ((<i> * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),((<i> * b)))| is complex V34() ext-real Element of REAL
<i> * |((a),((<i> * b)))| is complex Element of COMPLEX
|((a),((<i> * b)))| - (<i> * |((a),((<i> * b)))|) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),((<i> * b)))| is complex V34() ext-real Element of REAL
<i> * |((a),((<i> * b)))| is complex Element of COMPLEX
(|((a),((<i> * b)))| - (<i> * |((a),((<i> * b)))|)) + (<i> * |((a),((<i> * b)))|) is complex Element of COMPLEX
|((a),((<i> * b)))| is complex V34() ext-real Element of REAL
((|((a),((<i> * b)))| - (<i> * |((a),((<i> * b)))|)) + (<i> * |((a),((<i> * b)))|)) + |((a),((<i> * b)))| is complex Element of COMPLEX
(a,b) is complex Element of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
|((a),(b))| - (<i> * |((a),(b))|) is complex Element of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
(|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|) is complex Element of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
((|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|)) + |((a),(b))| is complex Element of COMPLEX
<i> * (a,b) is complex Element of COMPLEX
- (<i> * (a,b)) is complex Element of COMPLEX
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
- (b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
|((a),(- (b)))| is complex V34() ext-real Element of REAL
|((a),(- (b)))| - (<i> * |((a),((<i> * b)))|) is complex Element of COMPLEX
(|((a),(- (b)))| - (<i> * |((a),((<i> * b)))|)) + (<i> * |((a),((<i> * b)))|) is complex Element of COMPLEX
((|((a),(- (b)))| - (<i> * |((a),((<i> * b)))|)) + (<i> * |((a),((<i> * b)))|)) + |((a),((<i> * b)))| is complex Element of COMPLEX
<i> * |((a),(b))| is complex Element of COMPLEX
|((a),(- (b)))| - (<i> * |((a),(b))|) is complex Element of COMPLEX
(|((a),(- (b)))| - (<i> * |((a),(b))|)) + (<i> * |((a),((<i> * b)))|) is complex Element of COMPLEX
((|((a),(- (b)))| - (<i> * |((a),(b))|)) + (<i> * |((a),((<i> * b)))|)) + |((a),((<i> * b)))| is complex Element of COMPLEX
|((a),(- (b)))| is complex V34() ext-real Element of REAL
<i> * |((a),(- (b)))| is complex Element of COMPLEX
(|((a),(- (b)))| - (<i> * |((a),(b))|)) + (<i> * |((a),(- (b)))|) is complex Element of COMPLEX
((|((a),(- (b)))| - (<i> * |((a),(b))|)) + (<i> * |((a),(- (b)))|)) + |((a),((<i> * b)))| is complex Element of COMPLEX
((|((a),(- (b)))| - (<i> * |((a),(b))|)) + (<i> * |((a),(- (b)))|)) + |((a),(b))| is complex Element of COMPLEX
- |((a),(b))| is complex V34() ext-real Element of REAL
(- |((a),(b))|) - (<i> * |((a),(b))|) is complex Element of COMPLEX
((- |((a),(b))|) - (<i> * |((a),(b))|)) + (<i> * |((a),(- (b)))|) is complex Element of COMPLEX
(((- |((a),(b))|) - (<i> * |((a),(b))|)) + (<i> * |((a),(- (b)))|)) + |((a),(b))| is complex Element of COMPLEX
- |((a),(b))| is complex V34() ext-real Element of REAL
<i> * (- |((a),(b))|) is complex Element of COMPLEX
((- |((a),(b))|) - (<i> * |((a),(b))|)) + (<i> * (- |((a),(b))|)) is complex Element of COMPLEX
(((- |((a),(b))|) - (<i> * |((a),(b))|)) + (<i> * (- |((a),(b))|))) + |((a),(b))| is complex Element of COMPLEX
a is complex Element of COMPLEX
a multcomplex is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(a multcomplex) * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x is complex V34() ext-real Element of REAL
x multreal is Relation-like REAL -defined REAL -valued Function-like non zero V14( REAL ) V18( REAL , REAL ) complex-valued ext-real-valued real-valued Element of bool [:REAL,REAL:]
y is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
len y is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(x multreal) * y is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
dom b is V64() V65() V66() V67() V68() V69() Element of bool NAT
z is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b . z is complex Element of COMPLEX
(a multcomplex) . (b . z) is complex Element of COMPLEX
y . z is complex V34() ext-real Element of REAL
(x multreal) . (y . z) is complex V34() ext-real Element of REAL
x * y is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(x * y) . z is complex V34() ext-real Element of REAL
x * (y . z) is complex V34() ext-real Element of REAL
multreal . (x,(y . z)) is complex V34() ext-real Element of REAL
(id REAL) . (y . z) is complex V34() ext-real Element of REAL
multreal . (x,((id REAL) . (y . z))) is complex V34() ext-real Element of REAL
multreal [;] (x,(id REAL)) is Relation-like REAL -defined REAL -valued Function-like non zero V14( REAL ) V18( REAL , REAL ) complex-valued ext-real-valued real-valued Element of bool [:REAL,REAL:]
(multreal [;] (x,(id REAL))) . (y . z) is complex V34() ext-real Element of REAL
a * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a * b) . z is complex Element of COMPLEX
a * (b . z) is complex Element of COMPLEX
multcomplex . (a,(b . z)) is complex Element of COMPLEX
(id COMPLEX) . (b . z) is complex Element of COMPLEX
multcomplex . (a,((id COMPLEX) . (b . z))) is complex Element of COMPLEX
multcomplex [;] (a,(id COMPLEX)) is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
(multcomplex [;] (a,(id COMPLEX))) . (b . z) is complex Element of COMPLEX
a is complex set
x is complex V34() ext-real Element of REAL
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
y is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len y is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x * y is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b is complex set
x is complex set
b + x is complex Element of COMPLEX
(b + x) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b * a) + (x * a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
y is complex Element of COMPLEX
multcomplex [;] (y,(id COMPLEX)) is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
z is complex Element of COMPLEX
multcomplex [;] (z,(id COMPLEX)) is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
y + z is complex Element of COMPLEX
multcomplex [;] ((y + z),(id COMPLEX)) is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
(multcomplex [;] ((y + z),(id COMPLEX))) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
addcomplex . (y,z) is complex Element of COMPLEX
multcomplex [;] ((addcomplex . (y,z)),(id COMPLEX)) is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
(multcomplex [;] ((addcomplex . (y,z)),(id COMPLEX))) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
addcomplex .: ((multcomplex [;] (y,(id COMPLEX))),(multcomplex [;] (z,(id COMPLEX)))) is Relation-like COMPLEX -defined COMPLEX -valued Function-like non zero V14( COMPLEX ) V18( COMPLEX , COMPLEX ) complex-valued Element of bool [:COMPLEX,COMPLEX:]
(addcomplex .: ((multcomplex [;] (y,(id COMPLEX))),(multcomplex [;] (z,(id COMPLEX))))) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(multcomplex [;] (y,(id COMPLEX))) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(multcomplex [;] (z,(id COMPLEX))) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
addcomplex .: (((multcomplex [;] (y,(id COMPLEX))) * a),((multcomplex [;] (z,(id COMPLEX))) * a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((multcomplex [;] (y,(id COMPLEX))) * a) + ((multcomplex [;] (z,(id COMPLEX))) * a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b * a) + ((multcomplex [;] (z,(id COMPLEX))) * a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b is complex set
x is complex set
b - x is complex Element of COMPLEX
(b - x) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b * a) - (x * a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (x * a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (x * a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(b * a) + (- (x * a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- x is complex Element of COMPLEX
b + (- x) is complex Element of COMPLEX
(b + (- x)) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
y is complex Element of COMPLEX
y * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
z is complex Element of COMPLEX
- z is complex Element of COMPLEX
(- z) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(y * a) + ((- z) * a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a is complex Element of COMPLEX
Re a is complex V34() ext-real Element of REAL
Im a is complex V34() ext-real Element of REAL
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a * b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((a * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a * b) + ((a * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((a * b) + ((a * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(Re a) * (b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(Im a) * (b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((Re a) * (b)) - ((Im a) * (b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
- ((Im a) * (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued set
(- 1) * ((Im a) * (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((Re a) * (b)) + (- ((Im a) * (b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued set
((a * b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a * b) - ((a * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((a * b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((a * b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a * b) + (- ((a * b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((a * b) - ((a * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(Im a) * (b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(Re a) * (b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((Im a) * (b)) + ((Re a) * (b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
len (b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is complex Element of COMPLEX
(1 / 2) * x is complex Element of COMPLEX
((1 / 2) * x) * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (((1 / 2) * x) * b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
y is complex Element of COMPLEX
((1 / 2) * <i>) * y is complex Element of COMPLEX
(((1 / 2) * <i>) * y) * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((((1 / 2) * <i>) * y) * b) + (((1 / 2) * x) * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (((((1 / 2) * <i>) * y) * b) + (((1 / 2) * x) * b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len ((((1 / 2) * <i>) * y) * b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (x * b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
<i> * y is complex Element of COMPLEX
(<i> * y) * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len ((<i> * y) * b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x * (1 / 2) is complex Element of COMPLEX
(x * (1 / 2)) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x * 1 is complex Element of COMPLEX
(x * 1) / 2 is complex Element of COMPLEX
((x * 1) / 2) * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((x * 1) / 2) * (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((x * 1) / 2) * b) + (((x * 1) / 2) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len ((Re a) * (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
y * <i> is complex Element of COMPLEX
x - (y * <i>) is complex Element of COMPLEX
(x - (y * <i>)) * (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len ((x - (y * <i>)) * (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x + (<i> * y) is complex Element of COMPLEX
(x + (<i> * y)) * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len ((x + (<i> * y)) * b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(- ((1 / 2) * <i>)) * y is complex Element of COMPLEX
((- ((1 / 2) * <i>)) * y) * (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (((- ((1 / 2) * <i>)) * y) * (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
y * (- ((1 / 2) * <i>)) is complex Element of COMPLEX
(y * (- ((1 / 2) * <i>))) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((- ((1 / 2) * <i>)) * y) * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((- ((1 / 2) * <i>)) * y) * b) - (((- ((1 / 2) * <i>)) * y) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (((- ((1 / 2) * <i>)) * y) * (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (((- ((1 / 2) * <i>)) * y) * (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(((- ((1 / 2) * <i>)) * y) * b) + (- (((- ((1 / 2) * <i>)) * y) * (b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len (((- ((1 / 2) * <i>)) * y) * b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x * (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (x * (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(y * <i>) * (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len ((y * <i>) * (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
((1 / 2) * x) * (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (((1 / 2) * x) * (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a *' is complex Element of COMPLEX
(a *') * (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a *') * (b)) + (a * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (((a *') * (b)) + (a * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a *') * (b)) + ((x + (<i> * y)) * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (((a *') * (b)) + ((x + (<i> * y)) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((x - (y * <i>)) * (b)) + ((x + (<i> * y)) * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (((x - (y * <i>)) * (b)) + ((x + (<i> * y)) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((x - (y * <i>)) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((x + (<i> * y)) * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((1 / 2) * ((x - (y * <i>)) * (b))) + ((1 / 2) * ((x + (<i> * y)) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(x * b) + ((<i> * y) * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((x * b) + ((<i> * y) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((1 / 2) * ((x - (y * <i>)) * (b))) + ((1 / 2) * ((x * b) + ((<i> * y) * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(x * (b)) - ((y * <i>) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((y * <i>) * (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((y * <i>) * (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(x * (b)) + (- ((y * <i>) * (b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(1 / 2) * ((x * (b)) - ((y * <i>) * (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((1 / 2) * ((x * (b)) - ((y * <i>) * (b)))) + ((1 / 2) * ((x * b) + ((<i> * y) * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (x * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((<i> * y) * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((1 / 2) * (x * b)) + ((1 / 2) * ((<i> * y) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((1 / 2) * ((x * (b)) - ((y * <i>) * (b)))) + (((1 / 2) * (x * b)) + ((1 / 2) * ((<i> * y) * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (x * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((y * <i>) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((1 / 2) * (x * (b))) - ((1 / 2) * ((y * <i>) * (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((1 / 2) * ((y * <i>) * (b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((1 / 2) * ((y * <i>) * (b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((1 / 2) * (x * (b))) + (- ((1 / 2) * ((y * <i>) * (b)))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(((1 / 2) * (x * (b))) - ((1 / 2) * ((y * <i>) * (b)))) + (((1 / 2) * (x * b)) + ((1 / 2) * ((<i> * y) * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(<i> * y) * (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((<i> * y) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((1 / 2) * (x * (b))) - ((1 / 2) * ((<i> * y) * (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((1 / 2) * ((<i> * y) * (b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((1 / 2) * ((<i> * y) * (b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((1 / 2) * (x * (b))) + (- ((1 / 2) * ((<i> * y) * (b)))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(1 / 2) * (<i> * y) is complex Element of COMPLEX
((1 / 2) * (<i> * y)) * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((1 / 2) * (x * b)) + (((1 / 2) * (<i> * y)) * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((1 / 2) * (x * (b))) - ((1 / 2) * ((<i> * y) * (b)))) + (((1 / 2) * (x * b)) + (((1 / 2) * (<i> * y)) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((1 / 2) * <i>) * y) * (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((((1 / 2) * <i>) * y) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * ((((1 / 2) * <i>) * y) * (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((1 / 2) * (x * (b))) + (- ((((1 / 2) * <i>) * y) * (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((1 / 2) * (x * b)) + ((((1 / 2) * <i>) * y) * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((1 / 2) * (x * (b))) + (- ((((1 / 2) * <i>) * y) * (b)))) + (((1 / 2) * (x * b)) + ((((1 / 2) * <i>) * y) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (((1 / 2) * <i>) * y) is complex Element of COMPLEX
(- (((1 / 2) * <i>) * y)) * (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((1 / 2) * (x * (b))) + ((- (((1 / 2) * <i>) * y)) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((1 / 2) * (x * (b))) + ((- (((1 / 2) * <i>) * y)) * (b))) + (((1 / 2) * (x * b)) + ((((1 / 2) * <i>) * y) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((1 / 2) * x) * (b)) + (((- ((1 / 2) * <i>)) * y) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((((1 / 2) * x) * (b)) + (((- ((1 / 2) * <i>)) * y) * (b))) + (((1 / 2) * (x * b)) + ((((1 / 2) * <i>) * y) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((1 / 2) * x) * b) + ((((1 / 2) * <i>) * y) * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((((1 / 2) * x) * b) + ((((1 / 2) * <i>) * y) * b)) + ((((1 / 2) * x) * (b)) + (((- ((1 / 2) * <i>)) * y) * (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((((1 / 2) * <i>) * y) * b) + (((1 / 2) * x) * b)) + (((1 / 2) * x) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((((((1 / 2) * <i>) * y) * b) + (((1 / 2) * x) * b)) + (((1 / 2) * x) * (b))) + (((- ((1 / 2) * <i>)) * y) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((1 / 2) * x) * b) + (((1 / 2) * x) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((- ((1 / 2) * <i>)) * y) is complex Element of COMPLEX
(- ((- ((1 / 2) * <i>)) * y)) * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((((1 / 2) * x) * b) + (((1 / 2) * x) * (b))) + ((- ((- ((1 / 2) * <i>)) * y)) * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((((1 / 2) * x) * b) + (((1 / 2) * x) * (b))) + ((- ((- ((1 / 2) * <i>)) * y)) * b)) + (((- ((1 / 2) * <i>)) * y) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((((1 / 2) * x) * b) + (((1 / 2) * x) * (b))) - (((- ((1 / 2) * <i>)) * y) * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (((- ((1 / 2) * <i>)) * y) * b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (((- ((1 / 2) * <i>)) * y) * b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((((1 / 2) * x) * b) + (((1 / 2) * x) * (b))) + (- (((- ((1 / 2) * <i>)) * y) * b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(((((1 / 2) * x) * b) + (((1 / 2) * x) * (b))) - (((- ((1 / 2) * <i>)) * y) * b)) + (((- ((1 / 2) * <i>)) * y) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((1 / 2) * <i>) * x is complex Element of COMPLEX
(((1 / 2) * <i>) * x) * (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len ((((1 / 2) * <i>) * x) * (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
y * (1 / 2) is complex Element of COMPLEX
(y * (1 / 2)) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * y is complex Element of COMPLEX
((1 / 2) * y) * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((1 / 2) * y) * (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((1 / 2) * y) * b) + (((1 / 2) * y) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len ((<i> * y) * (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
- x is complex Element of COMPLEX
(- x) * (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len ((- x) * (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
y * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (y * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len ((1 / 2) * (y * b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (y * b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
y * (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (y * (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(1 / 2) * (y * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len ((1 / 2) * (y * (b))) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
((1 / 2) * (y * b)) + ((1 / 2) * (y * (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (((1 / 2) * (y * b)) + ((1 / 2) * (y * (b)))) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(- ((1 / 2) * <i>)) * x is complex Element of COMPLEX
((- ((1 / 2) * <i>)) * x) * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (((- ((1 / 2) * <i>)) * x) * b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
((1 / 2) * (y * b)) + (((- ((1 / 2) * <i>)) * x) * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (((1 / 2) * (y * b)) + (((- ((1 / 2) * <i>)) * x) * b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x * (- ((1 / 2) * <i>)) is complex Element of COMPLEX
(x * (- ((1 / 2) * <i>))) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((- ((1 / 2) * <i>)) * x) * (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((- ((1 / 2) * <i>)) * x) * b) - (((- ((1 / 2) * <i>)) * x) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (((- ((1 / 2) * <i>)) * x) * (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (((- ((1 / 2) * <i>)) * x) * (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(((- ((1 / 2) * <i>)) * x) * b) + (- (((- ((1 / 2) * <i>)) * x) * (b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
len ((a * b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a * b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
- ((a * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (- ((a * b))) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(- ((1 / 2) * <i>)) * (- ((a * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- ((1 / 2) * <i>)) * (a * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((- ((1 / 2) * <i>)) * (- ((a * b)))) + ((- ((1 / 2) * <i>)) * (a * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((a *') * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * ((a *') * (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (- ((a *') * (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((- ((1 / 2) * <i>)) * (- ((a *') * (b)))) + ((- ((1 / 2) * <i>)) * (a * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- ((1 / 2) * <i>)) * ((x + (<i> * y)) * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((- ((1 / 2) * <i>)) * (- ((a *') * (b)))) + ((- ((1 / 2) * <i>)) * ((x + (<i> * y)) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((x - (y * <i>)) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * ((x - (y * <i>)) * (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (- ((x - (y * <i>)) * (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((- ((1 / 2) * <i>)) * (- ((x - (y * <i>)) * (b)))) + ((- ((1 / 2) * <i>)) * ((x + (<i> * y)) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (x - (y * <i>)) is complex Element of COMPLEX
(- (x - (y * <i>))) * (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- ((1 / 2) * <i>)) * ((- (x - (y * <i>))) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((- ((1 / 2) * <i>)) * ((- (x - (y * <i>))) * (b))) + ((- ((1 / 2) * <i>)) * ((x + (<i> * y)) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- x) + (y * <i>) is complex Element of COMPLEX
((- x) + (y * <i>)) * (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- ((1 / 2) * <i>)) * (((- x) + (y * <i>)) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((- ((1 / 2) * <i>)) * (((- x) + (y * <i>)) * (b))) + ((- ((1 / 2) * <i>)) * ((x + (<i> * y)) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((- x) * (b)) + ((<i> * y) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- ((1 / 2) * <i>)) * (((- x) * (b)) + ((<i> * y) * (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((- ((1 / 2) * <i>)) * (((- x) * (b)) + ((<i> * y) * (b)))) + ((- ((1 / 2) * <i>)) * ((x + (<i> * y)) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- ((1 / 2) * <i>)) * ((x * b) + ((<i> * y) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((- ((1 / 2) * <i>)) * (((- x) * (b)) + ((<i> * y) * (b)))) + ((- ((1 / 2) * <i>)) * ((x * b) + ((<i> * y) * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- ((1 / 2) * <i>)) * (x * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- ((1 / 2) * <i>)) * ((<i> * y) * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((- ((1 / 2) * <i>)) * (x * b)) + ((- ((1 / 2) * <i>)) * ((<i> * y) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((- ((1 / 2) * <i>)) * (((- x) * (b)) + ((<i> * y) * (b)))) + (((- ((1 / 2) * <i>)) * (x * b)) + ((- ((1 / 2) * <i>)) * ((<i> * y) * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- ((1 / 2) * <i>)) * ((- x) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- ((1 / 2) * <i>)) * ((<i> * y) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((- ((1 / 2) * <i>)) * ((- x) * (b))) + ((- ((1 / 2) * <i>)) * ((<i> * y) * (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((- ((1 / 2) * <i>)) * ((- x) * (b))) + ((- ((1 / 2) * <i>)) * ((<i> * y) * (b)))) + (((- ((1 / 2) * <i>)) * (x * b)) + ((- ((1 / 2) * <i>)) * ((<i> * y) * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- ((1 / 2) * <i>)) * (- x) is complex Element of COMPLEX
((- ((1 / 2) * <i>)) * (- x)) * (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((- ((1 / 2) * <i>)) * (- x)) * (b)) + ((- ((1 / 2) * <i>)) * ((<i> * y) * (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((((- ((1 / 2) * <i>)) * (- x)) * (b)) + ((- ((1 / 2) * <i>)) * ((<i> * y) * (b)))) + (((- ((1 / 2) * <i>)) * (x * b)) + ((- ((1 / 2) * <i>)) * ((<i> * y) * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
<i> * (y * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- ((1 / 2) * <i>)) * (<i> * (y * (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((- ((1 / 2) * <i>)) * (- x)) * (b)) + ((- ((1 / 2) * <i>)) * (<i> * (y * (b)))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((((- ((1 / 2) * <i>)) * (- x)) * (b)) + ((- ((1 / 2) * <i>)) * (<i> * (y * (b))))) + (((- ((1 / 2) * <i>)) * (x * b)) + ((- ((1 / 2) * <i>)) * ((<i> * y) * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- ((1 / 2) * <i>)) * <i> is complex Element of COMPLEX
((- ((1 / 2) * <i>)) * <i>) * (y * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((- ((1 / 2) * <i>)) * (- x)) * (b)) + (((- ((1 / 2) * <i>)) * <i>) * (y * (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((((- ((1 / 2) * <i>)) * (- x)) * (b)) + (((- ((1 / 2) * <i>)) * <i>) * (y * (b)))) + (((- ((1 / 2) * <i>)) * (x * b)) + ((- ((1 / 2) * <i>)) * ((<i> * y) * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((- ((1 / 2) * <i>)) * x) * b) + ((- ((1 / 2) * <i>)) * ((<i> * y) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((((- ((1 / 2) * <i>)) * (- x)) * (b)) + (((- ((1 / 2) * <i>)) * <i>) * (y * (b)))) + ((((- ((1 / 2) * <i>)) * x) * b) + ((- ((1 / 2) * <i>)) * ((<i> * y) * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
<i> * (y * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- ((1 / 2) * <i>)) * (<i> * (y * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((- ((1 / 2) * <i>)) * x) * b) + ((- ((1 / 2) * <i>)) * (<i> * (y * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((((- ((1 / 2) * <i>)) * (- x)) * (b)) + (((- ((1 / 2) * <i>)) * <i>) * (y * (b)))) + ((((- ((1 / 2) * <i>)) * x) * b) + ((- ((1 / 2) * <i>)) * (<i> * (y * b)))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((1 / 2) * (y * (b))) + ((((1 / 2) * <i>) * x) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((1 / 2) * (y * b)) + (((- ((1 / 2) * <i>)) * x) * b)) + (((1 / 2) * (y * (b))) + ((((1 / 2) * <i>) * x) * (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((1 / 2) * (y * b)) + (((- ((1 / 2) * <i>)) * x) * b)) + ((1 / 2) * (y * (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((((1 / 2) * (y * b)) + (((- ((1 / 2) * <i>)) * x) * b)) + ((1 / 2) * (y * (b)))) + ((((1 / 2) * <i>) * x) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((1 / 2) * (y * b)) + ((1 / 2) * (y * (b)))) + (((- ((1 / 2) * <i>)) * x) * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((((1 / 2) * (y * b)) + ((1 / 2) * (y * (b)))) + (((- ((1 / 2) * <i>)) * x) * b)) + ((((1 / 2) * <i>) * x) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((- ((1 / 2) * <i>)) * x) * b) + ((((1 / 2) * <i>) * x) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((1 / 2) * (y * b)) + ((1 / 2) * (y * (b)))) + ((((- ((1 / 2) * <i>)) * x) * b) + ((((1 / 2) * <i>) * x) * (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((1 / 2) * y) * b) + ((1 / 2) * (y * (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((((1 / 2) * y) * b) + ((1 / 2) * (y * (b)))) + ((((- ((1 / 2) * <i>)) * x) * b) + ((((1 / 2) * <i>) * x) * (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((- ((1 / 2) * <i>)) * x) is complex Element of COMPLEX
(- ((- ((1 / 2) * <i>)) * x)) * (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((- ((1 / 2) * <i>)) * x) * b) + ((- ((- ((1 / 2) * <i>)) * x)) * (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((((1 / 2) * y) * b) + (((1 / 2) * y) * (b))) + ((((- ((1 / 2) * <i>)) * x) * b) + ((- ((- ((1 / 2) * <i>)) * x)) * (b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a + b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a + b),x) is complex Element of COMPLEX
((a + b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((a + b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a + b) + ((a + b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((a + b) + ((a + b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x + (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (x + (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a + b)),(x))| is complex V34() ext-real Element of REAL
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
x - (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
x + (- (x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (x - (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a + b)),(x))| is complex V34() ext-real Element of REAL
<i> * |(((a + b)),(x))| is complex Element of COMPLEX
|(((a + b)),(x))| - (<i> * |(((a + b)),(x))|) is complex Element of COMPLEX
((a + b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a + b) - ((a + b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((a + b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((a + b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a + b) + (- ((a + b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((a + b) - ((a + b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a + b)),(x))| is complex V34() ext-real Element of REAL
<i> * |(((a + b)),(x))| is complex Element of COMPLEX
(|(((a + b)),(x))| - (<i> * |(((a + b)),(x))|)) + (<i> * |(((a + b)),(x))|) is complex Element of COMPLEX
|(((a + b)),(x))| is complex V34() ext-real Element of REAL
((|(((a + b)),(x))| - (<i> * |(((a + b)),(x))|)) + (<i> * |(((a + b)),(x))|)) + |(((a + b)),(x))| is complex Element of COMPLEX
(a,x) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
|((a),(x))| is complex V34() ext-real Element of REAL
<i> * |((a),(x))| is complex Element of COMPLEX
|((a),(x))| - (<i> * |((a),(x))|) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
<i> * |((a),(x))| is complex Element of COMPLEX
(|((a),(x))| - (<i> * |((a),(x))|)) + (<i> * |((a),(x))|) is complex Element of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
((|((a),(x))| - (<i> * |((a),(x))|)) + (<i> * |((a),(x))|)) + |((a),(x))| is complex Element of COMPLEX
(b,x) is complex Element of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((b),(x))| is complex V34() ext-real Element of REAL
|((b),(x))| is complex V34() ext-real Element of REAL
<i> * |((b),(x))| is complex Element of COMPLEX
|((b),(x))| - (<i> * |((b),(x))|) is complex Element of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((b),(x))| is complex V34() ext-real Element of REAL
<i> * |((b),(x))| is complex Element of COMPLEX
(|((b),(x))| - (<i> * |((b),(x))|)) + (<i> * |((b),(x))|) is complex Element of COMPLEX
|((b),(x))| is complex V34() ext-real Element of REAL
((|((b),(x))| - (<i> * |((b),(x))|)) + (<i> * |((b),(x))|)) + |((b),(x))| is complex Element of COMPLEX
(a,x) + (b,x) is complex Element of COMPLEX
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (x) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (x) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(a) + (b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
|(((a) + (b)),(x))| is complex V34() ext-real Element of REAL
|(((a) + (b)),(x))| - (<i> * |(((a + b)),(x))|) is complex Element of COMPLEX
(|(((a) + (b)),(x))| - (<i> * |(((a + b)),(x))|)) + (<i> * |(((a + b)),(x))|) is complex Element of COMPLEX
((|(((a) + (b)),(x))| - (<i> * |(((a + b)),(x))|)) + (<i> * |(((a + b)),(x))|)) + |(((a + b)),(x))| is complex Element of COMPLEX
|(((a) + (b)),(x))| is complex V34() ext-real Element of REAL
<i> * |(((a) + (b)),(x))| is complex Element of COMPLEX
|(((a) + (b)),(x))| - (<i> * |(((a) + (b)),(x))|) is complex Element of COMPLEX
(|(((a) + (b)),(x))| - (<i> * |(((a) + (b)),(x))|)) + (<i> * |(((a + b)),(x))|) is complex Element of COMPLEX
((|(((a) + (b)),(x))| - (<i> * |(((a) + (b)),(x))|)) + (<i> * |(((a + b)),(x))|)) + |(((a + b)),(x))| is complex Element of COMPLEX
(a) + (b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
|(((a) + (b)),(x))| is complex V34() ext-real Element of REAL
<i> * |(((a) + (b)),(x))| is complex Element of COMPLEX
(|(((a) + (b)),(x))| - (<i> * |(((a) + (b)),(x))|)) + (<i> * |(((a) + (b)),(x))|) is complex Element of COMPLEX
((|(((a) + (b)),(x))| - (<i> * |(((a) + (b)),(x))|)) + (<i> * |(((a) + (b)),(x))|)) + |(((a + b)),(x))| is complex Element of COMPLEX
|(((a) + (b)),(x))| is complex V34() ext-real Element of REAL
((|(((a) + (b)),(x))| - (<i> * |(((a) + (b)),(x))|)) + (<i> * |(((a) + (b)),(x))|)) + |(((a) + (b)),(x))| is complex Element of COMPLEX
|((a),(x))| + |((b),(x))| is complex V34() ext-real Element of REAL
(|((a),(x))| + |((b),(x))|) - (<i> * |(((a) + (b)),(x))|) is complex Element of COMPLEX
((|((a),(x))| + |((b),(x))|) - (<i> * |(((a) + (b)),(x))|)) + (<i> * |(((a) + (b)),(x))|) is complex Element of COMPLEX
(((|((a),(x))| + |((b),(x))|) - (<i> * |(((a) + (b)),(x))|)) + (<i> * |(((a) + (b)),(x))|)) + |(((a) + (b)),(x))| is complex Element of COMPLEX
|((a),(x))| + |((b),(x))| is complex V34() ext-real Element of REAL
<i> * (|((a),(x))| + |((b),(x))|) is complex Element of COMPLEX
(|((a),(x))| + |((b),(x))|) - (<i> * (|((a),(x))| + |((b),(x))|)) is complex Element of COMPLEX
((|((a),(x))| + |((b),(x))|) - (<i> * (|((a),(x))| + |((b),(x))|))) + (<i> * |(((a) + (b)),(x))|) is complex Element of COMPLEX
(((|((a),(x))| + |((b),(x))|) - (<i> * (|((a),(x))| + |((b),(x))|))) + (<i> * |(((a) + (b)),(x))|)) + |(((a) + (b)),(x))| is complex Element of COMPLEX
|((a),(x))| + |((b),(x))| is complex V34() ext-real Element of REAL
<i> * (|((a),(x))| + |((b),(x))|) is complex Element of COMPLEX
((|((a),(x))| + |((b),(x))|) - (<i> * (|((a),(x))| + |((b),(x))|))) + (<i> * (|((a),(x))| + |((b),(x))|)) is complex Element of COMPLEX
(((|((a),(x))| + |((b),(x))|) - (<i> * (|((a),(x))| + |((b),(x))|))) + (<i> * (|((a),(x))| + |((b),(x))|))) + |(((a) + (b)),(x))| is complex Element of COMPLEX
|((a),(x))| + |((b),(x))| is complex V34() ext-real Element of REAL
(((|((a),(x))| + |((b),(x))|) - (<i> * (|((a),(x))| + |((b),(x))|))) + (<i> * (|((a),(x))| + |((b),(x))|))) + (|((a),(x))| + |((b),(x))|) is complex Element of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
- a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((- a),b) is complex Element of COMPLEX
((- a)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((- a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- a) + ((- a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((- a) + ((- a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((- a)),(b))| is complex V34() ext-real Element of REAL
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((- a)),(b))| is complex V34() ext-real Element of REAL
<i> * |(((- a)),(b))| is complex Element of COMPLEX
|(((- a)),(b))| - (<i> * |(((- a)),(b))|) is complex Element of COMPLEX
((- a)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(- a) - ((- a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((- a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((- a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- a) + (- ((- a))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((- a) - ((- a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((- a)),(b))| is complex V34() ext-real Element of REAL
<i> * |(((- a)),(b))| is complex Element of COMPLEX
(|(((- a)),(b))| - (<i> * |(((- a)),(b))|)) + (<i> * |(((- a)),(b))|) is complex Element of COMPLEX
|(((- a)),(b))| is complex V34() ext-real Element of REAL
((|(((- a)),(b))| - (<i> * |(((- a)),(b))|)) + (<i> * |(((- a)),(b))|)) + |(((- a)),(b))| is complex Element of COMPLEX
(a,b) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
|((a),(b))| - (<i> * |((a),(b))|) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
(|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|) is complex Element of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
((|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|)) + |((a),(b))| is complex Element of COMPLEX
- (a,b) is complex Element of COMPLEX
<i> * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (<i> * a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
<i> * <i> is complex Element of COMPLEX
(<i> * <i>) * a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((<i> * <i>) * a),b) is complex Element of COMPLEX
(((<i> * <i>) * a)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(((<i> * <i>) * a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((<i> * <i>) * a) + (((<i> * <i>) * a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (((<i> * <i>) * a) + (((<i> * <i>) * a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((((<i> * <i>) * a)),(b))| is complex V34() ext-real Element of REAL
|((((<i> * <i>) * a)),(b))| is complex V34() ext-real Element of REAL
<i> * |((((<i> * <i>) * a)),(b))| is complex Element of COMPLEX
|((((<i> * <i>) * a)),(b))| - (<i> * |((((<i> * <i>) * a)),(b))|) is complex Element of COMPLEX
(((<i> * <i>) * a)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((<i> * <i>) * a) - (((<i> * <i>) * a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (((<i> * <i>) * a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (((<i> * <i>) * a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((<i> * <i>) * a) + (- (((<i> * <i>) * a))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (((<i> * <i>) * a) - (((<i> * <i>) * a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((((<i> * <i>) * a)),(b))| is complex V34() ext-real Element of REAL
<i> * |((((<i> * <i>) * a)),(b))| is complex Element of COMPLEX
(|((((<i> * <i>) * a)),(b))| - (<i> * |((((<i> * <i>) * a)),(b))|)) + (<i> * |((((<i> * <i>) * a)),(b))|) is complex Element of COMPLEX
|((((<i> * <i>) * a)),(b))| is complex V34() ext-real Element of REAL
((|((((<i> * <i>) * a)),(b))| - (<i> * |((((<i> * <i>) * a)),(b))|)) + (<i> * |((((<i> * <i>) * a)),(b))|)) + |((((<i> * <i>) * a)),(b))| is complex Element of COMPLEX
<i> * (<i> * a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((<i> * (<i> * a)),b) is complex Element of COMPLEX
((<i> * (<i> * a))) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((<i> * (<i> * a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(<i> * (<i> * a)) + ((<i> * (<i> * a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((<i> * (<i> * a)) + ((<i> * (<i> * a)))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((<i> * (<i> * a))),(b))| is complex V34() ext-real Element of REAL
|(((<i> * (<i> * a))),(b))| is complex V34() ext-real Element of REAL
<i> * |(((<i> * (<i> * a))),(b))| is complex Element of COMPLEX
|(((<i> * (<i> * a))),(b))| - (<i> * |(((<i> * (<i> * a))),(b))|) is complex Element of COMPLEX
((<i> * (<i> * a))) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(<i> * (<i> * a)) - ((<i> * (<i> * a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((<i> * (<i> * a))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((<i> * (<i> * a))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(<i> * (<i> * a)) + (- ((<i> * (<i> * a)))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((<i> * (<i> * a)) - ((<i> * (<i> * a)))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((<i> * (<i> * a))),(b))| is complex V34() ext-real Element of REAL
<i> * |(((<i> * (<i> * a))),(b))| is complex Element of COMPLEX
(|(((<i> * (<i> * a))),(b))| - (<i> * |(((<i> * (<i> * a))),(b))|)) + (<i> * |(((<i> * (<i> * a))),(b))|) is complex Element of COMPLEX
|(((<i> * (<i> * a))),(b))| is complex V34() ext-real Element of REAL
((|(((<i> * (<i> * a))),(b))| - (<i> * |(((<i> * (<i> * a))),(b))|)) + (<i> * |(((<i> * (<i> * a))),(b))|)) + |(((<i> * (<i> * a))),(b))| is complex Element of COMPLEX
((<i> * a),b) is complex Element of COMPLEX
((<i> * a)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((<i> * a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(<i> * a) + ((<i> * a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((<i> * a) + ((<i> * a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((<i> * a)),(b))| is complex V34() ext-real Element of REAL
|(((<i> * a)),(b))| is complex V34() ext-real Element of REAL
<i> * |(((<i> * a)),(b))| is complex Element of COMPLEX
|(((<i> * a)),(b))| - (<i> * |(((<i> * a)),(b))|) is complex Element of COMPLEX
((<i> * a)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(<i> * a) - ((<i> * a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((<i> * a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((<i> * a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(<i> * a) + (- ((<i> * a))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((<i> * a) - ((<i> * a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((<i> * a)),(b))| is complex V34() ext-real Element of REAL
<i> * |(((<i> * a)),(b))| is complex Element of COMPLEX
(|(((<i> * a)),(b))| - (<i> * |(((<i> * a)),(b))|)) + (<i> * |(((<i> * a)),(b))|) is complex Element of COMPLEX
|(((<i> * a)),(b))| is complex V34() ext-real Element of REAL
((|(((<i> * a)),(b))| - (<i> * |(((<i> * a)),(b))|)) + (<i> * |(((<i> * a)),(b))|)) + |(((<i> * a)),(b))| is complex Element of COMPLEX
<i> * ((<i> * a),b) is complex Element of COMPLEX
<i> * (a,b) is complex Element of COMPLEX
<i> * (<i> * (a,b)) is complex Element of COMPLEX
(- 1) * (a,b) is complex Element of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
- b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a,(- b)) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((- b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((- b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- b) + ((- b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((- b) + ((- b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),((- b)))| is complex V34() ext-real Element of REAL
((- b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(- b) - ((- b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((- b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((- b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- b) + (- ((- b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((- b) - ((- b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),((- b)))| is complex V34() ext-real Element of REAL
<i> * |((a),((- b)))| is complex Element of COMPLEX
|((a),((- b)))| - (<i> * |((a),((- b)))|) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),((- b)))| is complex V34() ext-real Element of REAL
<i> * |((a),((- b)))| is complex Element of COMPLEX
(|((a),((- b)))| - (<i> * |((a),((- b)))|)) + (<i> * |((a),((- b)))|) is complex Element of COMPLEX
|((a),((- b)))| is complex V34() ext-real Element of REAL
((|((a),((- b)))| - (<i> * |((a),((- b)))|)) + (<i> * |((a),((- b)))|)) + |((a),((- b)))| is complex Element of COMPLEX
(a,b) is complex Element of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
|((a),(b))| - (<i> * |((a),(b))|) is complex Element of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
(|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|) is complex Element of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
((|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|)) + |((a),(b))| is complex Element of COMPLEX
- (a,b) is complex Element of COMPLEX
<i> * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (<i> * b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
<i> * <i> is complex Element of COMPLEX
(<i> * <i>) * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a,((<i> * <i>) * b)) is complex Element of COMPLEX
(((<i> * <i>) * b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(((<i> * <i>) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((<i> * <i>) * b) + (((<i> * <i>) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (((<i> * <i>) * b) + (((<i> * <i>) * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(((<i> * <i>) * b)))| is complex V34() ext-real Element of REAL
(((<i> * <i>) * b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((<i> * <i>) * b) - (((<i> * <i>) * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (((<i> * <i>) * b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (((<i> * <i>) * b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((<i> * <i>) * b) + (- (((<i> * <i>) * b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (((<i> * <i>) * b) - (((<i> * <i>) * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(((<i> * <i>) * b)))| is complex V34() ext-real Element of REAL
<i> * |((a),(((<i> * <i>) * b)))| is complex Element of COMPLEX
|((a),(((<i> * <i>) * b)))| - (<i> * |((a),(((<i> * <i>) * b)))|) is complex Element of COMPLEX
|((a),(((<i> * <i>) * b)))| is complex V34() ext-real Element of REAL
<i> * |((a),(((<i> * <i>) * b)))| is complex Element of COMPLEX
(|((a),(((<i> * <i>) * b)))| - (<i> * |((a),(((<i> * <i>) * b)))|)) + (<i> * |((a),(((<i> * <i>) * b)))|) is complex Element of COMPLEX
|((a),(((<i> * <i>) * b)))| is complex V34() ext-real Element of REAL
((|((a),(((<i> * <i>) * b)))| - (<i> * |((a),(((<i> * <i>) * b)))|)) + (<i> * |((a),(((<i> * <i>) * b)))|)) + |((a),(((<i> * <i>) * b)))| is complex Element of COMPLEX
<i> * (<i> * b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a,(<i> * (<i> * b))) is complex Element of COMPLEX
((<i> * (<i> * b))) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((<i> * (<i> * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(<i> * (<i> * b)) + ((<i> * (<i> * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((<i> * (<i> * b)) + ((<i> * (<i> * b)))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),((<i> * (<i> * b))))| is complex V34() ext-real Element of REAL
((<i> * (<i> * b))) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(<i> * (<i> * b)) - ((<i> * (<i> * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((<i> * (<i> * b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((<i> * (<i> * b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(<i> * (<i> * b)) + (- ((<i> * (<i> * b)))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((<i> * (<i> * b)) - ((<i> * (<i> * b)))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),((<i> * (<i> * b))))| is complex V34() ext-real Element of REAL
<i> * |((a),((<i> * (<i> * b))))| is complex Element of COMPLEX
|((a),((<i> * (<i> * b))))| - (<i> * |((a),((<i> * (<i> * b))))|) is complex Element of COMPLEX
|((a),((<i> * (<i> * b))))| is complex V34() ext-real Element of REAL
<i> * |((a),((<i> * (<i> * b))))| is complex Element of COMPLEX
(|((a),((<i> * (<i> * b))))| - (<i> * |((a),((<i> * (<i> * b))))|)) + (<i> * |((a),((<i> * (<i> * b))))|) is complex Element of COMPLEX
|((a),((<i> * (<i> * b))))| is complex V34() ext-real Element of REAL
((|((a),((<i> * (<i> * b))))| - (<i> * |((a),((<i> * (<i> * b))))|)) + (<i> * |((a),((<i> * (<i> * b))))|)) + |((a),((<i> * (<i> * b))))| is complex Element of COMPLEX
(a,(<i> * b)) is complex Element of COMPLEX
((<i> * b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((<i> * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(<i> * b) + ((<i> * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((<i> * b) + ((<i> * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),((<i> * b)))| is complex V34() ext-real Element of REAL
((<i> * b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(<i> * b) - ((<i> * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((<i> * b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((<i> * b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(<i> * b) + (- ((<i> * b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((<i> * b) - ((<i> * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),((<i> * b)))| is complex V34() ext-real Element of REAL
<i> * |((a),((<i> * b)))| is complex Element of COMPLEX
|((a),((<i> * b)))| - (<i> * |((a),((<i> * b)))|) is complex Element of COMPLEX
|((a),((<i> * b)))| is complex V34() ext-real Element of REAL
<i> * |((a),((<i> * b)))| is complex Element of COMPLEX
(|((a),((<i> * b)))| - (<i> * |((a),((<i> * b)))|)) + (<i> * |((a),((<i> * b)))|) is complex Element of COMPLEX
|((a),((<i> * b)))| is complex V34() ext-real Element of REAL
((|((a),((<i> * b)))| - (<i> * |((a),((<i> * b)))|)) + (<i> * |((a),((<i> * b)))|)) + |((a),((<i> * b)))| is complex Element of COMPLEX
<i> * (a,(<i> * b)) is complex Element of COMPLEX
- (<i> * (a,(<i> * b))) is complex Element of COMPLEX
<i> * (a,b) is complex Element of COMPLEX
- (<i> * (a,b)) is complex Element of COMPLEX
<i> * (- (<i> * (a,b))) is complex Element of COMPLEX
- (<i> * (- (<i> * (a,b)))) is complex Element of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
- a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * a is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
- b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((- a),(- b)) is complex Element of COMPLEX
((- a)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((- a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- a) + ((- a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((- a) + ((- a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((- b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((- b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- b) + ((- b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((- b) + ((- b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((- a)),((- b)))| is complex V34() ext-real Element of REAL
((- b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(- b) - ((- b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((- b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((- b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- b) + (- ((- b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((- b) - ((- b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((- a)),((- b)))| is complex V34() ext-real Element of REAL
<i> * |(((- a)),((- b)))| is complex Element of COMPLEX
|(((- a)),((- b)))| - (<i> * |(((- a)),((- b)))|) is complex Element of COMPLEX
((- a)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(- a) - ((- a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((- a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((- a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- a) + (- ((- a))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((- a) - ((- a))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((- a)),((- b)))| is complex V34() ext-real Element of REAL
<i> * |(((- a)),((- b)))| is complex Element of COMPLEX
(|(((- a)),((- b)))| - (<i> * |(((- a)),((- b)))|)) + (<i> * |(((- a)),((- b)))|) is complex Element of COMPLEX
|(((- a)),((- b)))| is complex V34() ext-real Element of REAL
((|(((- a)),((- b)))| - (<i> * |(((- a)),((- b)))|)) + (<i> * |(((- a)),((- b)))|)) + |(((- a)),((- b)))| is complex Element of COMPLEX
(a,b) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
|((a),(b))| - (<i> * |((a),(b))|) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
(|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|) is complex Element of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
((|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|)) + |((a),(b))| is complex Element of COMPLEX
len (- b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(a,(- b)) is complex Element of COMPLEX
|((a),((- b)))| is complex V34() ext-real Element of REAL
|((a),((- b)))| is complex V34() ext-real Element of REAL
<i> * |((a),((- b)))| is complex Element of COMPLEX
|((a),((- b)))| - (<i> * |((a),((- b)))|) is complex Element of COMPLEX
|((a),((- b)))| is complex V34() ext-real Element of REAL
<i> * |((a),((- b)))| is complex Element of COMPLEX
(|((a),((- b)))| - (<i> * |((a),((- b)))|)) + (<i> * |((a),((- b)))|) is complex Element of COMPLEX
|((a),((- b)))| is complex V34() ext-real Element of REAL
((|((a),((- b)))| - (<i> * |((a),((- b)))|)) + (<i> * |((a),((- b)))|)) + |((a),((- b)))| is complex Element of COMPLEX
- (a,(- b)) is complex Element of COMPLEX
- (a,b) is complex Element of COMPLEX
- (- (a,b)) is complex Element of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a - b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((a - b),x) is complex Element of COMPLEX
((a - b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((a - b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a - b) + ((a - b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((a - b) + ((a - b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x + (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (x + (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a - b)),(x))| is complex V34() ext-real Element of REAL
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
x - (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
x + (- (x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (x - (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a - b)),(x))| is complex V34() ext-real Element of REAL
<i> * |(((a - b)),(x))| is complex Element of COMPLEX
|(((a - b)),(x))| - (<i> * |(((a - b)),(x))|) is complex Element of COMPLEX
((a - b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a - b) - ((a - b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((a - b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((a - b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a - b) + (- ((a - b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((a - b) - ((a - b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a - b)),(x))| is complex V34() ext-real Element of REAL
<i> * |(((a - b)),(x))| is complex Element of COMPLEX
(|(((a - b)),(x))| - (<i> * |(((a - b)),(x))|)) + (<i> * |(((a - b)),(x))|) is complex Element of COMPLEX
|(((a - b)),(x))| is complex V34() ext-real Element of REAL
((|(((a - b)),(x))| - (<i> * |(((a - b)),(x))|)) + (<i> * |(((a - b)),(x))|)) + |(((a - b)),(x))| is complex Element of COMPLEX
(a,x) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
|((a),(x))| is complex V34() ext-real Element of REAL
<i> * |((a),(x))| is complex Element of COMPLEX
|((a),(x))| - (<i> * |((a),(x))|) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
<i> * |((a),(x))| is complex Element of COMPLEX
(|((a),(x))| - (<i> * |((a),(x))|)) + (<i> * |((a),(x))|) is complex Element of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
((|((a),(x))| - (<i> * |((a),(x))|)) + (<i> * |((a),(x))|)) + |((a),(x))| is complex Element of COMPLEX
(b,x) is complex Element of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((b),(x))| is complex V34() ext-real Element of REAL
|((b),(x))| is complex V34() ext-real Element of REAL
<i> * |((b),(x))| is complex Element of COMPLEX
|((b),(x))| - (<i> * |((b),(x))|) is complex Element of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((b),(x))| is complex V34() ext-real Element of REAL
<i> * |((b),(x))| is complex Element of COMPLEX
(|((b),(x))| - (<i> * |((b),(x))|)) + (<i> * |((b),(x))|) is complex Element of COMPLEX
|((b),(x))| is complex V34() ext-real Element of REAL
((|((b),(x))| - (<i> * |((b),(x))|)) + (<i> * |((b),(x))|)) + |((b),(x))| is complex Element of COMPLEX
(a,x) - (b,x) is complex Element of COMPLEX
- b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len (- b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
((- b),x) is complex Element of COMPLEX
((- b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((- b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(- b) + ((- b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((- b) + ((- b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((- b)),(x))| is complex V34() ext-real Element of REAL
|(((- b)),(x))| is complex V34() ext-real Element of REAL
<i> * |(((- b)),(x))| is complex Element of COMPLEX
|(((- b)),(x))| - (<i> * |(((- b)),(x))|) is complex Element of COMPLEX
((- b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(- b) - ((- b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((- b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((- b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- b) + (- ((- b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((- b) - ((- b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((- b)),(x))| is complex V34() ext-real Element of REAL
<i> * |(((- b)),(x))| is complex Element of COMPLEX
(|(((- b)),(x))| - (<i> * |(((- b)),(x))|)) + (<i> * |(((- b)),(x))|) is complex Element of COMPLEX
|(((- b)),(x))| is complex V34() ext-real Element of REAL
((|(((- b)),(x))| - (<i> * |(((- b)),(x))|)) + (<i> * |(((- b)),(x))|)) + |(((- b)),(x))| is complex Element of COMPLEX
(a,x) + ((- b),x) is complex Element of COMPLEX
- (b,x) is complex Element of COMPLEX
(a,x) + (- (b,x)) is complex Element of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b + x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a,(b + x)) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((b + x)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((b + x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b + x) + ((b + x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((b + x) + ((b + x))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),((b + x)))| is complex V34() ext-real Element of REAL
((b + x)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b + x) - ((b + x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((b + x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((b + x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(b + x) + (- ((b + x))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((b + x) - ((b + x))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),((b + x)))| is complex V34() ext-real Element of REAL
<i> * |((a),((b + x)))| is complex Element of COMPLEX
|((a),((b + x)))| - (<i> * |((a),((b + x)))|) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),((b + x)))| is complex V34() ext-real Element of REAL
<i> * |((a),((b + x)))| is complex Element of COMPLEX
(|((a),((b + x)))| - (<i> * |((a),((b + x)))|)) + (<i> * |((a),((b + x)))|) is complex Element of COMPLEX
|((a),((b + x)))| is complex V34() ext-real Element of REAL
((|((a),((b + x)))| - (<i> * |((a),((b + x)))|)) + (<i> * |((a),((b + x)))|)) + |((a),((b + x)))| is complex Element of COMPLEX
(a,b) is complex Element of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
|((a),(b))| - (<i> * |((a),(b))|) is complex Element of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
(|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|) is complex Element of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
((|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|)) + |((a),(b))| is complex Element of COMPLEX
(a,x) is complex Element of COMPLEX
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x + (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (x + (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
x - (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
x + (- (x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (x - (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
<i> * |((a),(x))| is complex Element of COMPLEX
|((a),(x))| - (<i> * |((a),(x))|) is complex Element of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
<i> * |((a),(x))| is complex Element of COMPLEX
(|((a),(x))| - (<i> * |((a),(x))|)) + (<i> * |((a),(x))|) is complex Element of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
((|((a),(x))| - (<i> * |((a),(x))|)) + (<i> * |((a),(x))|)) + |((a),(x))| is complex Element of COMPLEX
(a,b) + (a,x) is complex Element of COMPLEX
len (b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (x) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (x) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(b) + (x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
|((a),((b) + (x)))| is complex V34() ext-real Element of REAL
|((a),((b) + (x)))| - (<i> * |((a),((b + x)))|) is complex Element of COMPLEX
(|((a),((b) + (x)))| - (<i> * |((a),((b + x)))|)) + (<i> * |((a),((b + x)))|) is complex Element of COMPLEX
((|((a),((b) + (x)))| - (<i> * |((a),((b + x)))|)) + (<i> * |((a),((b + x)))|)) + |((a),((b + x)))| is complex Element of COMPLEX
(b) + (x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
|((a),((b) + (x)))| is complex V34() ext-real Element of REAL
((|((a),((b) + (x)))| - (<i> * |((a),((b + x)))|)) + (<i> * |((a),((b + x)))|)) + |((a),((b) + (x)))| is complex Element of COMPLEX
|((a),((b) + (x)))| is complex V34() ext-real Element of REAL
<i> * |((a),((b) + (x)))| is complex Element of COMPLEX
|((a),((b) + (x)))| - (<i> * |((a),((b) + (x)))|) is complex Element of COMPLEX
(|((a),((b) + (x)))| - (<i> * |((a),((b) + (x)))|)) + (<i> * |((a),((b + x)))|) is complex Element of COMPLEX
((|((a),((b) + (x)))| - (<i> * |((a),((b) + (x)))|)) + (<i> * |((a),((b + x)))|)) + |((a),((b) + (x)))| is complex Element of COMPLEX
|((a),((b) + (x)))| is complex V34() ext-real Element of REAL
<i> * |((a),((b) + (x)))| is complex Element of COMPLEX
(|((a),((b) + (x)))| - (<i> * |((a),((b) + (x)))|)) + (<i> * |((a),((b) + (x)))|) is complex Element of COMPLEX
((|((a),((b) + (x)))| - (<i> * |((a),((b) + (x)))|)) + (<i> * |((a),((b) + (x)))|)) + |((a),((b) + (x)))| is complex Element of COMPLEX
|((a),(b))| + |((a),(x))| is complex V34() ext-real Element of REAL
(|((a),(b))| + |((a),(x))|) - (<i> * |((a),((b) + (x)))|) is complex Element of COMPLEX
((|((a),(b))| + |((a),(x))|) - (<i> * |((a),((b) + (x)))|)) + (<i> * |((a),((b) + (x)))|) is complex Element of COMPLEX
(((|((a),(b))| + |((a),(x))|) - (<i> * |((a),((b) + (x)))|)) + (<i> * |((a),((b) + (x)))|)) + |((a),((b) + (x)))| is complex Element of COMPLEX
|((a),(b))| + |((a),(x))| is complex V34() ext-real Element of REAL
(((|((a),(b))| + |((a),(x))|) - (<i> * |((a),((b) + (x)))|)) + (<i> * |((a),((b) + (x)))|)) + (|((a),(b))| + |((a),(x))|) is complex Element of COMPLEX
|((a),(b))| + |((a),(x))| is complex V34() ext-real Element of REAL
<i> * (|((a),(b))| + |((a),(x))|) is complex Element of COMPLEX
(|((a),(b))| + |((a),(x))|) - (<i> * (|((a),(b))| + |((a),(x))|)) is complex Element of COMPLEX
((|((a),(b))| + |((a),(x))|) - (<i> * (|((a),(b))| + |((a),(x))|))) + (<i> * |((a),((b) + (x)))|) is complex Element of COMPLEX
(((|((a),(b))| + |((a),(x))|) - (<i> * (|((a),(b))| + |((a),(x))|))) + (<i> * |((a),((b) + (x)))|)) + (|((a),(b))| + |((a),(x))|) is complex Element of COMPLEX
|((a),(b))| + |((a),(x))| is complex V34() ext-real Element of REAL
<i> * (|((a),(b))| + |((a),(x))|) is complex Element of COMPLEX
((|((a),(b))| + |((a),(x))|) - (<i> * (|((a),(b))| + |((a),(x))|))) + (<i> * (|((a),(b))| + |((a),(x))|)) is complex Element of COMPLEX
(((|((a),(b))| + |((a),(x))|) - (<i> * (|((a),(b))| + |((a),(x))|))) + (<i> * (|((a),(b))| + |((a),(x))|))) + (|((a),(b))| + |((a),(x))|) is complex Element of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b - x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * x is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a,(b - x)) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((b - x)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((b - x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b - x) + ((b - x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((b - x) + ((b - x))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),((b - x)))| is complex V34() ext-real Element of REAL
((b - x)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b - x) - ((b - x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((b - x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((b - x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(b - x) + (- ((b - x))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((b - x) - ((b - x))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),((b - x)))| is complex V34() ext-real Element of REAL
<i> * |((a),((b - x)))| is complex Element of COMPLEX
|((a),((b - x)))| - (<i> * |((a),((b - x)))|) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),((b - x)))| is complex V34() ext-real Element of REAL
<i> * |((a),((b - x)))| is complex Element of COMPLEX
(|((a),((b - x)))| - (<i> * |((a),((b - x)))|)) + (<i> * |((a),((b - x)))|) is complex Element of COMPLEX
|((a),((b - x)))| is complex V34() ext-real Element of REAL
((|((a),((b - x)))| - (<i> * |((a),((b - x)))|)) + (<i> * |((a),((b - x)))|)) + |((a),((b - x)))| is complex Element of COMPLEX
(a,b) is complex Element of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
|((a),(b))| - (<i> * |((a),(b))|) is complex Element of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
(|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|) is complex Element of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
((|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|)) + |((a),(b))| is complex Element of COMPLEX
(a,x) is complex Element of COMPLEX
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x + (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (x + (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
x - (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
x + (- (x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (x - (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
<i> * |((a),(x))| is complex Element of COMPLEX
|((a),(x))| - (<i> * |((a),(x))|) is complex Element of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
<i> * |((a),(x))| is complex Element of COMPLEX
(|((a),(x))| - (<i> * |((a),(x))|)) + (<i> * |((a),(x))|) is complex Element of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
((|((a),(x))| - (<i> * |((a),(x))|)) + (<i> * |((a),(x))|)) + |((a),(x))| is complex Element of COMPLEX
(a,b) - (a,x) is complex Element of COMPLEX
len (b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (x) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (x) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (a) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(b) - (x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
- (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued set
(- 1) * (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(b) + (- (x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued set
|((a),((b) - (x)))| is complex V34() ext-real Element of REAL
|((a),((b) - (x)))| - (<i> * |((a),((b - x)))|) is complex Element of COMPLEX
(|((a),((b) - (x)))| - (<i> * |((a),((b - x)))|)) + (<i> * |((a),((b - x)))|) is complex Element of COMPLEX
((|((a),((b) - (x)))| - (<i> * |((a),((b - x)))|)) + (<i> * |((a),((b - x)))|)) + |((a),((b - x)))| is complex Element of COMPLEX
(b) - (x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
- (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued set
(- 1) * (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(b) + (- (x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued set
|((a),((b) - (x)))| is complex V34() ext-real Element of REAL
((|((a),((b) - (x)))| - (<i> * |((a),((b - x)))|)) + (<i> * |((a),((b - x)))|)) + |((a),((b) - (x)))| is complex Element of COMPLEX
|((a),((b) - (x)))| is complex V34() ext-real Element of REAL
<i> * |((a),((b) - (x)))| is complex Element of COMPLEX
|((a),((b) - (x)))| - (<i> * |((a),((b) - (x)))|) is complex Element of COMPLEX
(|((a),((b) - (x)))| - (<i> * |((a),((b) - (x)))|)) + (<i> * |((a),((b - x)))|) is complex Element of COMPLEX
((|((a),((b) - (x)))| - (<i> * |((a),((b) - (x)))|)) + (<i> * |((a),((b - x)))|)) + |((a),((b) - (x)))| is complex Element of COMPLEX
|((a),((b) - (x)))| is complex V34() ext-real Element of REAL
<i> * |((a),((b) - (x)))| is complex Element of COMPLEX
(|((a),((b) - (x)))| - (<i> * |((a),((b) - (x)))|)) + (<i> * |((a),((b) - (x)))|) is complex Element of COMPLEX
((|((a),((b) - (x)))| - (<i> * |((a),((b) - (x)))|)) + (<i> * |((a),((b) - (x)))|)) + |((a),((b) - (x)))| is complex Element of COMPLEX
|((a),(b))| - |((a),(x))| is complex V34() ext-real Element of REAL
(|((a),(b))| - |((a),(x))|) - (<i> * |((a),((b) - (x)))|) is complex Element of COMPLEX
((|((a),(b))| - |((a),(x))|) - (<i> * |((a),((b) - (x)))|)) + (<i> * |((a),((b) - (x)))|) is complex Element of COMPLEX
(((|((a),(b))| - |((a),(x))|) - (<i> * |((a),((b) - (x)))|)) + (<i> * |((a),((b) - (x)))|)) + |((a),((b) - (x)))| is complex Element of COMPLEX
|((a),(b))| - |((a),(x))| is complex V34() ext-real Element of REAL
(((|((a),(b))| - |((a),(x))|) - (<i> * |((a),((b) - (x)))|)) + (<i> * |((a),((b) - (x)))|)) + (|((a),(b))| - |((a),(x))|) is complex Element of COMPLEX
|((a),(b))| - |((a),(x))| is complex V34() ext-real Element of REAL
<i> * (|((a),(b))| - |((a),(x))|) is complex Element of COMPLEX
(|((a),(b))| - |((a),(x))|) - (<i> * (|((a),(b))| - |((a),(x))|)) is complex Element of COMPLEX
((|((a),(b))| - |((a),(x))|) - (<i> * (|((a),(b))| - |((a),(x))|))) + (<i> * |((a),((b) - (x)))|) is complex Element of COMPLEX
(((|((a),(b))| - |((a),(x))|) - (<i> * (|((a),(b))| - |((a),(x))|))) + (<i> * |((a),((b) - (x)))|)) + (|((a),(b))| - |((a),(x))|) is complex Element of COMPLEX
|((a),(b))| - |((a),(x))| is complex V34() ext-real Element of REAL
<i> * (|((a),(b))| - |((a),(x))|) is complex Element of COMPLEX
((|((a),(b))| - |((a),(x))|) - (<i> * (|((a),(b))| - |((a),(x))|))) + (<i> * (|((a),(b))| - |((a),(x))|)) is complex Element of COMPLEX
(((|((a),(b))| - |((a),(x))|) - (<i> * (|((a),(b))| - |((a),(x))|))) + (<i> * (|((a),(b))| - |((a),(x))|))) + (|((a),(b))| - |((a),(x))|) is complex Element of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
y is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len y is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a + b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x + y is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a + b),(x + y)) is complex Element of COMPLEX
((a + b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((a + b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a + b) + ((a + b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((a + b) + ((a + b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((x + y)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((x + y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(x + y) + ((x + y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((x + y) + ((x + y))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a + b)),((x + y)))| is complex V34() ext-real Element of REAL
((x + y)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(x + y) - ((x + y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((x + y)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((x + y)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(x + y) + (- ((x + y))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((x + y) - ((x + y))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a + b)),((x + y)))| is complex V34() ext-real Element of REAL
<i> * |(((a + b)),((x + y)))| is complex Element of COMPLEX
|(((a + b)),((x + y)))| - (<i> * |(((a + b)),((x + y)))|) is complex Element of COMPLEX
((a + b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a + b) - ((a + b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((a + b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((a + b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a + b) + (- ((a + b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((a + b) - ((a + b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a + b)),((x + y)))| is complex V34() ext-real Element of REAL
<i> * |(((a + b)),((x + y)))| is complex Element of COMPLEX
(|(((a + b)),((x + y)))| - (<i> * |(((a + b)),((x + y)))|)) + (<i> * |(((a + b)),((x + y)))|) is complex Element of COMPLEX
|(((a + b)),((x + y)))| is complex V34() ext-real Element of REAL
((|(((a + b)),((x + y)))| - (<i> * |(((a + b)),((x + y)))|)) + (<i> * |(((a + b)),((x + y)))|)) + |(((a + b)),((x + y)))| is complex Element of COMPLEX
(a,x) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x + (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (x + (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
x - (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
x + (- (x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (x - (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
<i> * |((a),(x))| is complex Element of COMPLEX
|((a),(x))| - (<i> * |((a),(x))|) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
<i> * |((a),(x))| is complex Element of COMPLEX
(|((a),(x))| - (<i> * |((a),(x))|)) + (<i> * |((a),(x))|) is complex Element of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
((|((a),(x))| - (<i> * |((a),(x))|)) + (<i> * |((a),(x))|)) + |((a),(x))| is complex Element of COMPLEX
(a,y) is complex Element of COMPLEX
(y) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(y) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
y + (y) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (y + (y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(y))| is complex V34() ext-real Element of REAL
(y) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
y - (y) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (y) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (y) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
y + (- (y)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (y - (y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(y))| is complex V34() ext-real Element of REAL
<i> * |((a),(y))| is complex Element of COMPLEX
|((a),(y))| - (<i> * |((a),(y))|) is complex Element of COMPLEX
|((a),(y))| is complex V34() ext-real Element of REAL
<i> * |((a),(y))| is complex Element of COMPLEX
(|((a),(y))| - (<i> * |((a),(y))|)) + (<i> * |((a),(y))|) is complex Element of COMPLEX
|((a),(y))| is complex V34() ext-real Element of REAL
((|((a),(y))| - (<i> * |((a),(y))|)) + (<i> * |((a),(y))|)) + |((a),(y))| is complex Element of COMPLEX
(a,x) + (a,y) is complex Element of COMPLEX
(b,x) is complex Element of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((b),(x))| is complex V34() ext-real Element of REAL
|((b),(x))| is complex V34() ext-real Element of REAL
<i> * |((b),(x))| is complex Element of COMPLEX
|((b),(x))| - (<i> * |((b),(x))|) is complex Element of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((b),(x))| is complex V34() ext-real Element of REAL
<i> * |((b),(x))| is complex Element of COMPLEX
(|((b),(x))| - (<i> * |((b),(x))|)) + (<i> * |((b),(x))|) is complex Element of COMPLEX
|((b),(x))| is complex V34() ext-real Element of REAL
((|((b),(x))| - (<i> * |((b),(x))|)) + (<i> * |((b),(x))|)) + |((b),(x))| is complex Element of COMPLEX
((a,x) + (a,y)) + (b,x) is complex Element of COMPLEX
(b,y) is complex Element of COMPLEX
|((b),(y))| is complex V34() ext-real Element of REAL
|((b),(y))| is complex V34() ext-real Element of REAL
<i> * |((b),(y))| is complex Element of COMPLEX
|((b),(y))| - (<i> * |((b),(y))|) is complex Element of COMPLEX
|((b),(y))| is complex V34() ext-real Element of REAL
<i> * |((b),(y))| is complex Element of COMPLEX
(|((b),(y))| - (<i> * |((b),(y))|)) + (<i> * |((b),(y))|) is complex Element of COMPLEX
|((b),(y))| is complex V34() ext-real Element of REAL
((|((b),(y))| - (<i> * |((b),(y))|)) + (<i> * |((b),(y))|)) + |((b),(y))| is complex Element of COMPLEX
(((a,x) + (a,y)) + (b,x)) + (b,y) is complex Element of COMPLEX
((a + b),y) is complex Element of COMPLEX
|(((a + b)),(y))| is complex V34() ext-real Element of REAL
|(((a + b)),(y))| is complex V34() ext-real Element of REAL
<i> * |(((a + b)),(y))| is complex Element of COMPLEX
|(((a + b)),(y))| - (<i> * |(((a + b)),(y))|) is complex Element of COMPLEX
|(((a + b)),(y))| is complex V34() ext-real Element of REAL
<i> * |(((a + b)),(y))| is complex Element of COMPLEX
(|(((a + b)),(y))| - (<i> * |(((a + b)),(y))|)) + (<i> * |(((a + b)),(y))|) is complex Element of COMPLEX
|(((a + b)),(y))| is complex V34() ext-real Element of REAL
((|(((a + b)),(y))| - (<i> * |(((a + b)),(y))|)) + (<i> * |(((a + b)),(y))|)) + |(((a + b)),(y))| is complex Element of COMPLEX
(a,y) + (b,y) is complex Element of COMPLEX
((a + b),x) is complex Element of COMPLEX
|(((a + b)),(x))| is complex V34() ext-real Element of REAL
|(((a + b)),(x))| is complex V34() ext-real Element of REAL
<i> * |(((a + b)),(x))| is complex Element of COMPLEX
|(((a + b)),(x))| - (<i> * |(((a + b)),(x))|) is complex Element of COMPLEX
|(((a + b)),(x))| is complex V34() ext-real Element of REAL
<i> * |(((a + b)),(x))| is complex Element of COMPLEX
(|(((a + b)),(x))| - (<i> * |(((a + b)),(x))|)) + (<i> * |(((a + b)),(x))|) is complex Element of COMPLEX
|(((a + b)),(x))| is complex V34() ext-real Element of REAL
((|(((a + b)),(x))| - (<i> * |(((a + b)),(x))|)) + (<i> * |(((a + b)),(x))|)) + |(((a + b)),(x))| is complex Element of COMPLEX
((a + b),x) + ((a + b),y) is complex Element of COMPLEX
(a,x) + (b,x) is complex Element of COMPLEX
((a,x) + (b,x)) + ((a,y) + (b,y)) is complex Element of COMPLEX
len (a + b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
y is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len y is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a - b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
x - y is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- y is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * y is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
x + (- y) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((a - b),(x - y)) is complex Element of COMPLEX
((a - b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((a - b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a - b) + ((a - b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((a - b) + ((a - b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((x - y)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((x - y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(x - y) + ((x - y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((x - y) + ((x - y))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a - b)),((x - y)))| is complex V34() ext-real Element of REAL
((x - y)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(x - y) - ((x - y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((x - y)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((x - y)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(x - y) + (- ((x - y))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((x - y) - ((x - y))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a - b)),((x - y)))| is complex V34() ext-real Element of REAL
<i> * |(((a - b)),((x - y)))| is complex Element of COMPLEX
|(((a - b)),((x - y)))| - (<i> * |(((a - b)),((x - y)))|) is complex Element of COMPLEX
((a - b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a - b) - ((a - b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((a - b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((a - b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a - b) + (- ((a - b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((a - b) - ((a - b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a - b)),((x - y)))| is complex V34() ext-real Element of REAL
<i> * |(((a - b)),((x - y)))| is complex Element of COMPLEX
(|(((a - b)),((x - y)))| - (<i> * |(((a - b)),((x - y)))|)) + (<i> * |(((a - b)),((x - y)))|) is complex Element of COMPLEX
|(((a - b)),((x - y)))| is complex V34() ext-real Element of REAL
((|(((a - b)),((x - y)))| - (<i> * |(((a - b)),((x - y)))|)) + (<i> * |(((a - b)),((x - y)))|)) + |(((a - b)),((x - y)))| is complex Element of COMPLEX
(a,x) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x + (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (x + (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
x - (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
x + (- (x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (x - (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
<i> * |((a),(x))| is complex Element of COMPLEX
|((a),(x))| - (<i> * |((a),(x))|) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
<i> * |((a),(x))| is complex Element of COMPLEX
(|((a),(x))| - (<i> * |((a),(x))|)) + (<i> * |((a),(x))|) is complex Element of COMPLEX
|((a),(x))| is complex V34() ext-real Element of REAL
((|((a),(x))| - (<i> * |((a),(x))|)) + (<i> * |((a),(x))|)) + |((a),(x))| is complex Element of COMPLEX
(a,y) is complex Element of COMPLEX
(y) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(y) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
y + (y) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (y + (y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(y))| is complex V34() ext-real Element of REAL
(y) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
y - (y) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (y) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (y) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
y + (- (y)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (y - (y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(y))| is complex V34() ext-real Element of REAL
<i> * |((a),(y))| is complex Element of COMPLEX
|((a),(y))| - (<i> * |((a),(y))|) is complex Element of COMPLEX
|((a),(y))| is complex V34() ext-real Element of REAL
<i> * |((a),(y))| is complex Element of COMPLEX
(|((a),(y))| - (<i> * |((a),(y))|)) + (<i> * |((a),(y))|) is complex Element of COMPLEX
|((a),(y))| is complex V34() ext-real Element of REAL
((|((a),(y))| - (<i> * |((a),(y))|)) + (<i> * |((a),(y))|)) + |((a),(y))| is complex Element of COMPLEX
(a,x) - (a,y) is complex Element of COMPLEX
(b,x) is complex Element of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((b),(x))| is complex V34() ext-real Element of REAL
|((b),(x))| is complex V34() ext-real Element of REAL
<i> * |((b),(x))| is complex Element of COMPLEX
|((b),(x))| - (<i> * |((b),(x))|) is complex Element of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((b),(x))| is complex V34() ext-real Element of REAL
<i> * |((b),(x))| is complex Element of COMPLEX
(|((b),(x))| - (<i> * |((b),(x))|)) + (<i> * |((b),(x))|) is complex Element of COMPLEX
|((b),(x))| is complex V34() ext-real Element of REAL
((|((b),(x))| - (<i> * |((b),(x))|)) + (<i> * |((b),(x))|)) + |((b),(x))| is complex Element of COMPLEX
((a,x) - (a,y)) - (b,x) is complex Element of COMPLEX
(b,y) is complex Element of COMPLEX
|((b),(y))| is complex V34() ext-real Element of REAL
|((b),(y))| is complex V34() ext-real Element of REAL
<i> * |((b),(y))| is complex Element of COMPLEX
|((b),(y))| - (<i> * |((b),(y))|) is complex Element of COMPLEX
|((b),(y))| is complex V34() ext-real Element of REAL
<i> * |((b),(y))| is complex Element of COMPLEX
(|((b),(y))| - (<i> * |((b),(y))|)) + (<i> * |((b),(y))|) is complex Element of COMPLEX
|((b),(y))| is complex V34() ext-real Element of REAL
((|((b),(y))| - (<i> * |((b),(y))|)) + (<i> * |((b),(y))|)) + |((b),(y))| is complex Element of COMPLEX
(((a,x) - (a,y)) - (b,x)) + (b,y) is complex Element of COMPLEX
(a,(x - y)) is complex Element of COMPLEX
|((a),((x - y)))| is complex V34() ext-real Element of REAL
|((a),((x - y)))| is complex V34() ext-real Element of REAL
<i> * |((a),((x - y)))| is complex Element of COMPLEX
|((a),((x - y)))| - (<i> * |((a),((x - y)))|) is complex Element of COMPLEX
|((a),((x - y)))| is complex V34() ext-real Element of REAL
<i> * |((a),((x - y)))| is complex Element of COMPLEX
(|((a),((x - y)))| - (<i> * |((a),((x - y)))|)) + (<i> * |((a),((x - y)))|) is complex Element of COMPLEX
|((a),((x - y)))| is complex V34() ext-real Element of REAL
((|((a),((x - y)))| - (<i> * |((a),((x - y)))|)) + (<i> * |((a),((x - y)))|)) + |((a),((x - y)))| is complex Element of COMPLEX
(b,(x - y)) is complex Element of COMPLEX
|((b),((x - y)))| is complex V34() ext-real Element of REAL
|((b),((x - y)))| is complex V34() ext-real Element of REAL
<i> * |((b),((x - y)))| is complex Element of COMPLEX
|((b),((x - y)))| - (<i> * |((b),((x - y)))|) is complex Element of COMPLEX
|((b),((x - y)))| is complex V34() ext-real Element of REAL
<i> * |((b),((x - y)))| is complex Element of COMPLEX
(|((b),((x - y)))| - (<i> * |((b),((x - y)))|)) + (<i> * |((b),((x - y)))|) is complex Element of COMPLEX
|((b),((x - y)))| is complex V34() ext-real Element of REAL
((|((b),((x - y)))| - (<i> * |((b),((x - y)))|)) + (<i> * |((b),((x - y)))|)) + |((b),((x - y)))| is complex Element of COMPLEX
(a,(x - y)) - (b,(x - y)) is complex Element of COMPLEX
(b,x) - (b,y) is complex Element of COMPLEX
((a,x) - (a,y)) - ((b,x) - (b,y)) is complex Element of COMPLEX
len (x - y) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a,b) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
|((a),(b))| - (<i> * |((a),(b))|) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
(|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|) is complex Element of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
((|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|)) + |((a),(b))| is complex Element of COMPLEX
(b,a) is complex Element of COMPLEX
|((b),(a))| is complex V34() ext-real Element of REAL
|((b),(a))| is complex V34() ext-real Element of REAL
<i> * |((b),(a))| is complex Element of COMPLEX
|((b),(a))| - (<i> * |((b),(a))|) is complex Element of COMPLEX
|((b),(a))| is complex V34() ext-real Element of REAL
<i> * |((b),(a))| is complex Element of COMPLEX
(|((b),(a))| - (<i> * |((b),(a))|)) + (<i> * |((b),(a))|) is complex Element of COMPLEX
|((b),(a))| is complex V34() ext-real Element of REAL
((|((b),(a))| - (<i> * |((b),(a))|)) + (<i> * |((b),(a))|)) + |((b),(a))| is complex Element of COMPLEX
(b,a) *' is complex Element of COMPLEX
x19 is complex V34() ext-real Element of REAL
Im x19 is complex V34() ext-real Element of REAL
x29 is complex V34() ext-real Element of REAL
Im x29 is complex V34() ext-real Element of REAL
y29 is complex V34() ext-real Element of REAL
Im y29 is complex V34() ext-real Element of REAL
y19 is complex V34() ext-real Element of REAL
Im y19 is complex V34() ext-real Element of REAL
x19 is complex Element of COMPLEX
y29 is complex Element of COMPLEX
x19 + y29 is complex Element of COMPLEX
y19 is complex Element of COMPLEX
x29 is complex Element of COMPLEX
y19 - x29 is complex Element of COMPLEX
<i> * (y19 - x29) is complex Element of COMPLEX
(x19 + y29) + (<i> * (y19 - x29)) is complex Element of COMPLEX
((x19 + y29) + (<i> * (y19 - x29))) *' is complex Element of COMPLEX
(x19 + y29) *' is complex Element of COMPLEX
(<i> * (y19 - x29)) *' is complex Element of COMPLEX
((x19 + y29) *') + ((<i> * (y19 - x29)) *') is complex Element of COMPLEX
x19 *' is complex Element of COMPLEX
y29 *' is complex Element of COMPLEX
(x19 *') + (y29 *') is complex Element of COMPLEX
((x19 *') + (y29 *')) + ((<i> * (y19 - x29)) *') is complex Element of COMPLEX
x19 + (y29 *') is complex Element of COMPLEX
(x19 + (y29 *')) + ((<i> * (y19 - x29)) *') is complex Element of COMPLEX
(x19 + y29) + ((<i> * (y19 - x29)) *') is complex Element of COMPLEX
- <i> is complex Element of COMPLEX
(y19 - x29) *' is complex Element of COMPLEX
(- <i>) * ((y19 - x29) *') is complex Element of COMPLEX
(x19 + y29) + ((- <i>) * ((y19 - x29) *')) is complex Element of COMPLEX
y19 *' is complex Element of COMPLEX
x29 *' is complex Element of COMPLEX
(y19 *') - (x29 *') is complex Element of COMPLEX
(- <i>) * ((y19 *') - (x29 *')) is complex Element of COMPLEX
(x19 + y29) + ((- <i>) * ((y19 *') - (x29 *'))) is complex Element of COMPLEX
y19 - (x29 *') is complex Element of COMPLEX
(- <i>) * (y19 - (x29 *')) is complex Element of COMPLEX
(x19 + y29) + ((- <i>) * (y19 - (x29 *'))) is complex Element of COMPLEX
(- <i>) * (y19 - x29) is complex Element of COMPLEX
(x19 + y29) + ((- <i>) * (y19 - x29)) is complex Element of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a + b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a + b),(a + b)) is complex Element of COMPLEX
((a + b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((a + b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a + b) + ((a + b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((a + b) + ((a + b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a + b)),((a + b)))| is complex V34() ext-real Element of REAL
((a + b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a + b) - ((a + b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((a + b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((a + b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a + b) + (- ((a + b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((a + b) - ((a + b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a + b)),((a + b)))| is complex V34() ext-real Element of REAL
<i> * |(((a + b)),((a + b)))| is complex Element of COMPLEX
|(((a + b)),((a + b)))| - (<i> * |(((a + b)),((a + b)))|) is complex Element of COMPLEX
|(((a + b)),((a + b)))| is complex V34() ext-real Element of REAL
<i> * |(((a + b)),((a + b)))| is complex Element of COMPLEX
(|(((a + b)),((a + b)))| - (<i> * |(((a + b)),((a + b)))|)) + (<i> * |(((a + b)),((a + b)))|) is complex Element of COMPLEX
|(((a + b)),((a + b)))| is complex V34() ext-real Element of REAL
((|(((a + b)),((a + b)))| - (<i> * |(((a + b)),((a + b)))|)) + (<i> * |(((a + b)),((a + b)))|)) + |(((a + b)),((a + b)))| is complex Element of COMPLEX
(a,a) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(a))| is complex V34() ext-real Element of REAL
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(a))| is complex V34() ext-real Element of REAL
<i> * |((a),(a))| is complex Element of COMPLEX
|((a),(a))| - (<i> * |((a),(a))|) is complex Element of COMPLEX
|((a),(a))| is complex V34() ext-real Element of REAL
<i> * |((a),(a))| is complex Element of COMPLEX
(|((a),(a))| - (<i> * |((a),(a))|)) + (<i> * |((a),(a))|) is complex Element of COMPLEX
|((a),(a))| is complex V34() ext-real Element of REAL
((|((a),(a))| - (<i> * |((a),(a))|)) + (<i> * |((a),(a))|)) + |((a),(a))| is complex Element of COMPLEX
(a,b) is complex Element of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
|((a),(b))| - (<i> * |((a),(b))|) is complex Element of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
(|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|) is complex Element of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
((|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|)) + |((a),(b))| is complex Element of COMPLEX
Re (a,b) is complex V34() ext-real Element of REAL
2 * (Re (a,b)) is complex V34() ext-real Element of REAL
(a,a) + (2 * (Re (a,b))) is complex Element of COMPLEX
(b,b) is complex Element of COMPLEX
|((b),(b))| is complex V34() ext-real Element of REAL
|((b),(b))| is complex V34() ext-real Element of REAL
<i> * |((b),(b))| is complex Element of COMPLEX
|((b),(b))| - (<i> * |((b),(b))|) is complex Element of COMPLEX
|((b),(b))| is complex V34() ext-real Element of REAL
<i> * |((b),(b))| is complex Element of COMPLEX
(|((b),(b))| - (<i> * |((b),(b))|)) + (<i> * |((b),(b))|) is complex Element of COMPLEX
|((b),(b))| is complex V34() ext-real Element of REAL
((|((b),(b))| - (<i> * |((b),(b))|)) + (<i> * |((b),(b))|)) + |((b),(b))| is complex Element of COMPLEX
((a,a) + (2 * (Re (a,b)))) + (b,b) is complex Element of COMPLEX
(a,a) + (a,b) is complex Element of COMPLEX
(b,a) is complex Element of COMPLEX
|((b),(a))| is complex V34() ext-real Element of REAL
|((b),(a))| is complex V34() ext-real Element of REAL
<i> * |((b),(a))| is complex Element of COMPLEX
|((b),(a))| - (<i> * |((b),(a))|) is complex Element of COMPLEX
|((b),(a))| is complex V34() ext-real Element of REAL
<i> * |((b),(a))| is complex Element of COMPLEX
(|((b),(a))| - (<i> * |((b),(a))|)) + (<i> * |((b),(a))|) is complex Element of COMPLEX
|((b),(a))| is complex V34() ext-real Element of REAL
((|((b),(a))| - (<i> * |((b),(a))|)) + (<i> * |((b),(a))|)) + |((b),(a))| is complex Element of COMPLEX
((a,a) + (a,b)) + (b,a) is complex Element of COMPLEX
(((a,a) + (a,b)) + (b,a)) + (b,b) is complex Element of COMPLEX
(a,b) *' is complex Element of COMPLEX
((a,a) + (a,b)) + ((a,b) *') is complex Element of COMPLEX
(((a,a) + (a,b)) + ((a,b) *')) + (b,b) is complex Element of COMPLEX
(a,b) + ((a,b) *') is complex Element of COMPLEX
(a,a) + ((a,b) + ((a,b) *')) is complex Element of COMPLEX
((a,a) + ((a,b) + ((a,b) *'))) + (b,b) is complex Element of COMPLEX
a is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len a is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a - b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * b is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((a - b),(a - b)) is complex Element of COMPLEX
((a - b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((a - b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a - b) + ((a - b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((a - b) + ((a - b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a - b)),((a - b)))| is complex V34() ext-real Element of REAL
((a - b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a - b) - ((a - b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((a - b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((a - b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a - b) + (- ((a - b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((a - b) - ((a - b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a - b)),((a - b)))| is complex V34() ext-real Element of REAL
<i> * |(((a - b)),((a - b)))| is complex Element of COMPLEX
|(((a - b)),((a - b)))| - (<i> * |(((a - b)),((a - b)))|) is complex Element of COMPLEX
|(((a - b)),((a - b)))| is complex V34() ext-real Element of REAL
<i> * |(((a - b)),((a - b)))| is complex Element of COMPLEX
(|(((a - b)),((a - b)))| - (<i> * |(((a - b)),((a - b)))|)) + (<i> * |(((a - b)),((a - b)))|) is complex Element of COMPLEX
|(((a - b)),((a - b)))| is complex V34() ext-real Element of REAL
((|(((a - b)),((a - b)))| - (<i> * |(((a - b)),((a - b)))|)) + (<i> * |(((a - b)),((a - b)))|)) + |(((a - b)),((a - b)))| is complex Element of COMPLEX
(a,a) is complex Element of COMPLEX
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
a + (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (a + (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(a))| is complex V34() ext-real Element of REAL
(a) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
a - (a) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (a) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
a + (- (a)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (a - (a)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(a))| is complex V34() ext-real Element of REAL
<i> * |((a),(a))| is complex Element of COMPLEX
|((a),(a))| - (<i> * |((a),(a))|) is complex Element of COMPLEX
|((a),(a))| is complex V34() ext-real Element of REAL
<i> * |((a),(a))| is complex Element of COMPLEX
(|((a),(a))| - (<i> * |((a),(a))|)) + (<i> * |((a),(a))|) is complex Element of COMPLEX
|((a),(a))| is complex V34() ext-real Element of REAL
((|((a),(a))| - (<i> * |((a),(a))|)) + (<i> * |((a),(a))|)) + |((a),(a))| is complex Element of COMPLEX
(a,b) is complex Element of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
|((a),(b))| - (<i> * |((a),(b))|) is complex Element of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
<i> * |((a),(b))| is complex Element of COMPLEX
(|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|) is complex Element of COMPLEX
|((a),(b))| is complex V34() ext-real Element of REAL
((|((a),(b))| - (<i> * |((a),(b))|)) + (<i> * |((a),(b))|)) + |((a),(b))| is complex Element of COMPLEX
Re (a,b) is complex V34() ext-real Element of REAL
2 * (Re (a,b)) is complex V34() ext-real Element of REAL
(a,a) - (2 * (Re (a,b))) is complex Element of COMPLEX
(b,b) is complex Element of COMPLEX
|((b),(b))| is complex V34() ext-real Element of REAL
|((b),(b))| is complex V34() ext-real Element of REAL
<i> * |((b),(b))| is complex Element of COMPLEX
|((b),(b))| - (<i> * |((b),(b))|) is complex Element of COMPLEX
|((b),(b))| is complex V34() ext-real Element of REAL
<i> * |((b),(b))| is complex Element of COMPLEX
(|((b),(b))| - (<i> * |((b),(b))|)) + (<i> * |((b),(b))|) is complex Element of COMPLEX
|((b),(b))| is complex V34() ext-real Element of REAL
((|((b),(b))| - (<i> * |((b),(b))|)) + (<i> * |((b),(b))|)) + |((b),(b))| is complex Element of COMPLEX
((a,a) - (2 * (Re (a,b)))) + (b,b) is complex Element of COMPLEX
(a,a) - (a,b) is complex Element of COMPLEX
(b,a) is complex Element of COMPLEX
|((b),(a))| is complex V34() ext-real Element of REAL
|((b),(a))| is complex V34() ext-real Element of REAL
<i> * |((b),(a))| is complex Element of COMPLEX
|((b),(a))| - (<i> * |((b),(a))|) is complex Element of COMPLEX
|((b),(a))| is complex V34() ext-real Element of REAL
<i> * |((b),(a))| is complex Element of COMPLEX
(|((b),(a))| - (<i> * |((b),(a))|)) + (<i> * |((b),(a))|) is complex Element of COMPLEX
|((b),(a))| is complex V34() ext-real Element of REAL
((|((b),(a))| - (<i> * |((b),(a))|)) + (<i> * |((b),(a))|)) + |((b),(a))| is complex Element of COMPLEX
((a,a) - (a,b)) - (b,a) is complex Element of COMPLEX
(((a,a) - (a,b)) - (b,a)) + (b,b) is complex Element of COMPLEX
(a,b) *' is complex Element of COMPLEX
((a,a) - (a,b)) - ((a,b) *') is complex Element of COMPLEX
(((a,a) - (a,b)) - ((a,b) *')) + (b,b) is complex Element of COMPLEX
(a,b) + ((a,b) *') is complex Element of COMPLEX
(a,a) - ((a,b) + ((a,b) *')) is complex Element of COMPLEX
((a,a) - ((a,b) + ((a,b) *'))) + (b,b) is complex Element of COMPLEX
a is complex Element of COMPLEX
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a * b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a * b),x) is complex Element of COMPLEX
((a * b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((a * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a * b) + ((a * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((a * b) + ((a * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x + (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (x + (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a * b)),(x))| is complex V34() ext-real Element of REAL
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
x - (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
x + (- (x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (x - (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a * b)),(x))| is complex V34() ext-real Element of REAL
<i> * |(((a * b)),(x))| is complex Element of COMPLEX
|(((a * b)),(x))| - (<i> * |(((a * b)),(x))|) is complex Element of COMPLEX
((a * b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a * b) - ((a * b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((a * b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((a * b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a * b) + (- ((a * b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((a * b) - ((a * b))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a * b)),(x))| is complex V34() ext-real Element of REAL
<i> * |(((a * b)),(x))| is complex Element of COMPLEX
(|(((a * b)),(x))| - (<i> * |(((a * b)),(x))|)) + (<i> * |(((a * b)),(x))|) is complex Element of COMPLEX
|(((a * b)),(x))| is complex V34() ext-real Element of REAL
((|(((a * b)),(x))| - (<i> * |(((a * b)),(x))|)) + (<i> * |(((a * b)),(x))|)) + |(((a * b)),(x))| is complex Element of COMPLEX
(b,x) is complex Element of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((b),(x))| is complex V34() ext-real Element of REAL
|((b),(x))| is complex V34() ext-real Element of REAL
<i> * |((b),(x))| is complex Element of COMPLEX
|((b),(x))| - (<i> * |((b),(x))|) is complex Element of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((b),(x))| is complex V34() ext-real Element of REAL
<i> * |((b),(x))| is complex Element of COMPLEX
(|((b),(x))| - (<i> * |((b),(x))|)) + (<i> * |((b),(x))|) is complex Element of COMPLEX
|((b),(x))| is complex V34() ext-real Element of REAL
((|((b),(x))| - (<i> * |((b),(x))|)) + (<i> * |((b),(x))|)) + |((b),(x))| is complex Element of COMPLEX
a * (b,x) is complex Element of COMPLEX
Re a is complex V34() ext-real Element of REAL
(Re a) * (b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
len ((Re a) * (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
Im a is complex V34() ext-real Element of REAL
(Im a) * (b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
len ((Im a) * (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (b) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(Re a) * (b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
len ((Re a) * (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(Im a) * (b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
len ((Im a) * (b)) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (x) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (x) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
((Re a) * (b)) - ((Im a) * (b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
- ((Im a) * (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued set
(- 1) * ((Im a) * (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((Re a) * (b)) + (- ((Im a) * (b))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued set
|((((Re a) * (b)) - ((Im a) * (b))),(x))| is complex V34() ext-real Element of REAL
|((((Re a) * (b)) - ((Im a) * (b))),(x))| - (<i> * |(((a * b)),(x))|) is complex Element of COMPLEX
(|((((Re a) * (b)) - ((Im a) * (b))),(x))| - (<i> * |(((a * b)),(x))|)) + (<i> * |(((a * b)),(x))|) is complex Element of COMPLEX
((|((((Re a) * (b)) - ((Im a) * (b))),(x))| - (<i> * |(((a * b)),(x))|)) + (<i> * |(((a * b)),(x))|)) + |(((a * b)),(x))| is complex Element of COMPLEX
|((((Re a) * (b)) - ((Im a) * (b))),(x))| is complex V34() ext-real Element of REAL
<i> * |((((Re a) * (b)) - ((Im a) * (b))),(x))| is complex Element of COMPLEX
|((((Re a) * (b)) - ((Im a) * (b))),(x))| - (<i> * |((((Re a) * (b)) - ((Im a) * (b))),(x))|) is complex Element of COMPLEX
(|((((Re a) * (b)) - ((Im a) * (b))),(x))| - (<i> * |((((Re a) * (b)) - ((Im a) * (b))),(x))|)) + (<i> * |(((a * b)),(x))|) is complex Element of COMPLEX
((|((((Re a) * (b)) - ((Im a) * (b))),(x))| - (<i> * |((((Re a) * (b)) - ((Im a) * (b))),(x))|)) + (<i> * |(((a * b)),(x))|)) + |(((a * b)),(x))| is complex Element of COMPLEX
((Im a) * (b)) + ((Re a) * (b)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
|((((Im a) * (b)) + ((Re a) * (b))),(x))| is complex V34() ext-real Element of REAL
<i> * |((((Im a) * (b)) + ((Re a) * (b))),(x))| is complex Element of COMPLEX
(|((((Re a) * (b)) - ((Im a) * (b))),(x))| - (<i> * |((((Re a) * (b)) - ((Im a) * (b))),(x))|)) + (<i> * |((((Im a) * (b)) + ((Re a) * (b))),(x))|) is complex Element of COMPLEX
((|((((Re a) * (b)) - ((Im a) * (b))),(x))| - (<i> * |((((Re a) * (b)) - ((Im a) * (b))),(x))|)) + (<i> * |((((Im a) * (b)) + ((Re a) * (b))),(x))|)) + |(((a * b)),(x))| is complex Element of COMPLEX
|((((Im a) * (b)) + ((Re a) * (b))),(x))| is complex V34() ext-real Element of REAL
((|((((Re a) * (b)) - ((Im a) * (b))),(x))| - (<i> * |((((Re a) * (b)) - ((Im a) * (b))),(x))|)) + (<i> * |((((Im a) * (b)) + ((Re a) * (b))),(x))|)) + |((((Im a) * (b)) + ((Re a) * (b))),(x))| is complex Element of COMPLEX
|(((Re a) * (b)),(x))| is complex V34() ext-real Element of REAL
|(((Im a) * (b)),(x))| is complex V34() ext-real Element of REAL
|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))| is complex V34() ext-real Element of REAL
(|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|) - (<i> * |((((Re a) * (b)) - ((Im a) * (b))),(x))|) is complex Element of COMPLEX
((|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|) - (<i> * |((((Re a) * (b)) - ((Im a) * (b))),(x))|)) + (<i> * |((((Im a) * (b)) + ((Re a) * (b))),(x))|) is complex Element of COMPLEX
(((|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|) - (<i> * |((((Re a) * (b)) - ((Im a) * (b))),(x))|)) + (<i> * |((((Im a) * (b)) + ((Re a) * (b))),(x))|)) + |((((Im a) * (b)) + ((Re a) * (b))),(x))| is complex Element of COMPLEX
|(((Re a) * (b)),(x))| is complex V34() ext-real Element of REAL
|(((Im a) * (b)),(x))| is complex V34() ext-real Element of REAL
|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))| is complex V34() ext-real Element of REAL
<i> * (|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|) is complex Element of COMPLEX
(|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|) - (<i> * (|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|)) is complex Element of COMPLEX
((|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|) - (<i> * (|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|))) + (<i> * |((((Im a) * (b)) + ((Re a) * (b))),(x))|) is complex Element of COMPLEX
(((|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|) - (<i> * (|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|))) + (<i> * |((((Im a) * (b)) + ((Re a) * (b))),(x))|)) + |((((Im a) * (b)) + ((Re a) * (b))),(x))| is complex Element of COMPLEX
|(((Im a) * (b)),(x))| is complex V34() ext-real Element of REAL
|(((Re a) * (b)),(x))| is complex V34() ext-real Element of REAL
|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))| is complex V34() ext-real Element of REAL
<i> * (|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))|) is complex Element of COMPLEX
((|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|) - (<i> * (|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|))) + (<i> * (|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))|)) is complex Element of COMPLEX
(((|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|) - (<i> * (|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|))) + (<i> * (|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))|))) + |((((Im a) * (b)) + ((Re a) * (b))),(x))| is complex Element of COMPLEX
|(((Im a) * (b)),(x))| is complex V34() ext-real Element of REAL
|(((Re a) * (b)),(x))| is complex V34() ext-real Element of REAL
|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))| is complex V34() ext-real Element of REAL
(((|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|) - (<i> * (|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|))) + (<i> * (|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))|))) + (|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))|) is complex Element of COMPLEX
(Re a) * |((b),(x))| is complex V34() ext-real Element of REAL
((Re a) * |((b),(x))|) - |(((Im a) * (b)),(x))| is complex V34() ext-real Element of REAL
<i> * (((Re a) * |((b),(x))|) - |(((Im a) * (b)),(x))|) is complex Element of COMPLEX
(|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|) - (<i> * (((Re a) * |((b),(x))|) - |(((Im a) * (b)),(x))|)) is complex Element of COMPLEX
((|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|) - (<i> * (((Re a) * |((b),(x))|) - |(((Im a) * (b)),(x))|))) + (<i> * (|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))|)) is complex Element of COMPLEX
(((|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|) - (<i> * (((Re a) * |((b),(x))|) - |(((Im a) * (b)),(x))|))) + (<i> * (|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))|))) + (|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))|) is complex Element of COMPLEX
(Im a) * |((b),(x))| is complex V34() ext-real Element of REAL
((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|) is complex V34() ext-real Element of REAL
<i> * (((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)) is complex Element of COMPLEX
(|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|) - (<i> * (((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|))) is complex Element of COMPLEX
((|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|) - (<i> * (((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)))) + (<i> * (|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))|)) is complex Element of COMPLEX
(((|(((Re a) * (b)),(x))| - |(((Im a) * (b)),(x))|) - (<i> * (((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)))) + (<i> * (|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))|))) + (|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))|) is complex Element of COMPLEX
(Re a) * |((b),(x))| is complex V34() ext-real Element of REAL
((Re a) * |((b),(x))|) - |(((Im a) * (b)),(x))| is complex V34() ext-real Element of REAL
(((Re a) * |((b),(x))|) - |(((Im a) * (b)),(x))|) - (<i> * (((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|))) is complex Element of COMPLEX
((((Re a) * |((b),(x))|) - |(((Im a) * (b)),(x))|) - (<i> * (((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)))) + (<i> * (|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))|)) is complex Element of COMPLEX
(((((Re a) * |((b),(x))|) - |(((Im a) * (b)),(x))|) - (<i> * (((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)))) + (<i> * (|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))|))) + (|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))|) is complex Element of COMPLEX
(Im a) * |((b),(x))| is complex V34() ext-real Element of REAL
((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|) is complex V34() ext-real Element of REAL
(((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)) - (<i> * (((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|))) is complex Element of COMPLEX
((((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)) - (<i> * (((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)))) + (<i> * (|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))|)) is complex Element of COMPLEX
(((((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)) - (<i> * (((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)))) + (<i> * (|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))|))) + (|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))|) is complex Element of COMPLEX
(Im a) * |((b),(x))| is complex V34() ext-real Element of REAL
((Im a) * |((b),(x))|) + |(((Re a) * (b)),(x))| is complex V34() ext-real Element of REAL
<i> * (((Im a) * |((b),(x))|) + |(((Re a) * (b)),(x))|) is complex Element of COMPLEX
((((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)) - (<i> * (((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)))) + (<i> * (((Im a) * |((b),(x))|) + |(((Re a) * (b)),(x))|)) is complex Element of COMPLEX
(((((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)) - (<i> * (((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)))) + (<i> * (((Im a) * |((b),(x))|) + |(((Re a) * (b)),(x))|))) + (|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))|) is complex Element of COMPLEX
(Re a) * |((b),(x))| is complex V34() ext-real Element of REAL
((Im a) * |((b),(x))|) + ((Re a) * |((b),(x))|) is complex V34() ext-real Element of REAL
<i> * (((Im a) * |((b),(x))|) + ((Re a) * |((b),(x))|)) is complex Element of COMPLEX
((((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)) - (<i> * (((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)))) + (<i> * (((Im a) * |((b),(x))|) + ((Re a) * |((b),(x))|))) is complex Element of COMPLEX
(((((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)) - (<i> * (((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)))) + (<i> * (((Im a) * |((b),(x))|) + ((Re a) * |((b),(x))|)))) + (|(((Im a) * (b)),(x))| + |(((Re a) * (b)),(x))|) is complex Element of COMPLEX
(Im a) * |((b),(x))| is complex V34() ext-real Element of REAL
((Im a) * |((b),(x))|) + |(((Re a) * (b)),(x))| is complex V34() ext-real Element of REAL
(((((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)) - (<i> * (((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)))) + (<i> * (((Im a) * |((b),(x))|) + ((Re a) * |((b),(x))|)))) + (((Im a) * |((b),(x))|) + |(((Re a) * (b)),(x))|) is complex Element of COMPLEX
(Re a) * |((b),(x))| is complex V34() ext-real Element of REAL
((Im a) * |((b),(x))|) + ((Re a) * |((b),(x))|) is complex V34() ext-real Element of REAL
(((((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)) - (<i> * (((Re a) * |((b),(x))|) - ((Im a) * |((b),(x))|)))) + (<i> * (((Im a) * |((b),(x))|) + ((Re a) * |((b),(x))|)))) + (((Im a) * |((b),(x))|) + ((Re a) * |((b),(x))|)) is complex Element of COMPLEX
<i> * (Im a) is complex Element of COMPLEX
(<i> * (Im a)) * |((b),(x))| is complex Element of COMPLEX
((Re a) * |((b),(x))|) + ((<i> * (Im a)) * |((b),(x))|) is complex Element of COMPLEX
(Re a) * <i> is complex Element of COMPLEX
((Re a) * <i>) * |((b),(x))| is complex Element of COMPLEX
(((Re a) * |((b),(x))|) + ((<i> * (Im a)) * |((b),(x))|)) - (((Re a) * <i>) * |((b),(x))|) is complex Element of COMPLEX
((((Re a) * |((b),(x))|) + ((<i> * (Im a)) * |((b),(x))|)) - (((Re a) * <i>) * |((b),(x))|)) + ((Im a) * |((b),(x))|) is complex Element of COMPLEX
(Re a) * (<i> * |((b),(x))|) is complex Element of COMPLEX
((Re a) * (<i> * |((b),(x))|)) - ((Im a) * |((b),(x))|) is complex Element of COMPLEX
(((((Re a) * |((b),(x))|) + ((<i> * (Im a)) * |((b),(x))|)) - (((Re a) * <i>) * |((b),(x))|)) + ((Im a) * |((b),(x))|)) + (((Re a) * (<i> * |((b),(x))|)) - ((Im a) * |((b),(x))|)) is complex Element of COMPLEX
(Re a) + (<i> * (Im a)) is complex Element of COMPLEX
((Re a) + (<i> * (Im a))) * |((b),(x))| is complex Element of COMPLEX
((((((Re a) * |((b),(x))|) + ((<i> * (Im a)) * |((b),(x))|)) - (((Re a) * <i>) * |((b),(x))|)) + ((Im a) * |((b),(x))|)) + (((Re a) * (<i> * |((b),(x))|)) - ((Im a) * |((b),(x))|))) + (((Re a) + (<i> * (Im a))) * |((b),(x))|) is complex Element of COMPLEX
((Re a) + (<i> * (Im a))) * (<i> * |((b),(x))|) is complex Element of COMPLEX
(((((Re a) * |((b),(x))|) + ((<i> * (Im a)) * |((b),(x))|)) - (((Re a) * <i>) * |((b),(x))|)) + ((Im a) * |((b),(x))|)) + (((Re a) + (<i> * (Im a))) * (<i> * |((b),(x))|)) is complex Element of COMPLEX
a * |((b),(x))| is complex Element of COMPLEX
((((((Re a) * |((b),(x))|) + ((<i> * (Im a)) * |((b),(x))|)) - (((Re a) * <i>) * |((b),(x))|)) + ((Im a) * |((b),(x))|)) + (((Re a) + (<i> * (Im a))) * (<i> * |((b),(x))|))) + (a * |((b),(x))|) is complex Element of COMPLEX
((Re a) + (<i> * (Im a))) * (<i> * |((b),(x))|) is complex Element of COMPLEX
(((Re a) * |((b),(x))|) + ((<i> * (Im a)) * |((b),(x))|)) - (((Re a) + (<i> * (Im a))) * (<i> * |((b),(x))|)) is complex Element of COMPLEX
a * (<i> * |((b),(x))|) is complex Element of COMPLEX
((((Re a) * |((b),(x))|) + ((<i> * (Im a)) * |((b),(x))|)) - (((Re a) + (<i> * (Im a))) * (<i> * |((b),(x))|))) + (a * (<i> * |((b),(x))|)) is complex Element of COMPLEX
(((((Re a) * |((b),(x))|) + ((<i> * (Im a)) * |((b),(x))|)) - (((Re a) + (<i> * (Im a))) * (<i> * |((b),(x))|))) + (a * (<i> * |((b),(x))|))) + (a * |((b),(x))|) is complex Element of COMPLEX
((Re a) + (<i> * (Im a))) * |((b),(x))| is complex Element of COMPLEX
a * (<i> * |((b),(x))|) is complex Element of COMPLEX
(((Re a) + (<i> * (Im a))) * |((b),(x))|) - (a * (<i> * |((b),(x))|)) is complex Element of COMPLEX
((((Re a) + (<i> * (Im a))) * |((b),(x))|) - (a * (<i> * |((b),(x))|))) + (a * (<i> * |((b),(x))|)) is complex Element of COMPLEX
(((((Re a) + (<i> * (Im a))) * |((b),(x))|) - (a * (<i> * |((b),(x))|))) + (a * (<i> * |((b),(x))|))) + (a * |((b),(x))|) is complex Element of COMPLEX
a * |((b),(x))| is complex Element of COMPLEX
(a * |((b),(x))|) - (a * (<i> * |((b),(x))|)) is complex Element of COMPLEX
((a * |((b),(x))|) - (a * (<i> * |((b),(x))|))) + (a * (<i> * |((b),(x))|)) is complex Element of COMPLEX
(((a * |((b),(x))|) - (a * (<i> * |((b),(x))|))) + (a * (<i> * |((b),(x))|))) + (a * |((b),(x))|) is complex Element of COMPLEX
a is complex Element of COMPLEX
a *' is complex Element of COMPLEX
b is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len b is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a * x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b,(a * x)) is complex Element of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b + (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (b + (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a * x)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((a * x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a * x) + ((a * x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((a * x) + ((a * x))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((b),((a * x)))| is complex V34() ext-real Element of REAL
((a * x)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a * x) - ((a * x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((a * x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((a * x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a * x) + (- ((a * x))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((a * x) - ((a * x))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((b),((a * x)))| is complex V34() ext-real Element of REAL
<i> * |((b),((a * x)))| is complex Element of COMPLEX
|((b),((a * x)))| - (<i> * |((b),((a * x)))|) is complex Element of COMPLEX
(b) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
b - (b) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (b) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
b + (- (b)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (b - (b)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((b),((a * x)))| is complex V34() ext-real Element of REAL
<i> * |((b),((a * x)))| is complex Element of COMPLEX
(|((b),((a * x)))| - (<i> * |((b),((a * x)))|)) + (<i> * |((b),((a * x)))|) is complex Element of COMPLEX
|((b),((a * x)))| is complex V34() ext-real Element of REAL
((|((b),((a * x)))| - (<i> * |((b),((a * x)))|)) + (<i> * |((b),((a * x)))|)) + |((b),((a * x)))| is complex Element of COMPLEX
(b,x) is complex Element of COMPLEX
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x + (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (x + (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((b),(x))| is complex V34() ext-real Element of REAL
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
x - (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
x + (- (x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (x - (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((b),(x))| is complex V34() ext-real Element of REAL
<i> * |((b),(x))| is complex Element of COMPLEX
|((b),(x))| - (<i> * |((b),(x))|) is complex Element of COMPLEX
|((b),(x))| is complex V34() ext-real Element of REAL
<i> * |((b),(x))| is complex Element of COMPLEX
(|((b),(x))| - (<i> * |((b),(x))|)) + (<i> * |((b),(x))|) is complex Element of COMPLEX
|((b),(x))| is complex V34() ext-real Element of REAL
((|((b),(x))| - (<i> * |((b),(x))|)) + (<i> * |((b),(x))|)) + |((b),(x))| is complex Element of COMPLEX
(a *') * (b,x) is complex Element of COMPLEX
((a * x),b) is complex Element of COMPLEX
|(((a * x)),(b))| is complex V34() ext-real Element of REAL
|(((a * x)),(b))| is complex V34() ext-real Element of REAL
<i> * |(((a * x)),(b))| is complex Element of COMPLEX
|(((a * x)),(b))| - (<i> * |(((a * x)),(b))|) is complex Element of COMPLEX
|(((a * x)),(b))| is complex V34() ext-real Element of REAL
<i> * |(((a * x)),(b))| is complex Element of COMPLEX
(|(((a * x)),(b))| - (<i> * |(((a * x)),(b))|)) + (<i> * |(((a * x)),(b))|) is complex Element of COMPLEX
|(((a * x)),(b))| is complex V34() ext-real Element of REAL
((|(((a * x)),(b))| - (<i> * |(((a * x)),(b))|)) + (<i> * |(((a * x)),(b))|)) + |(((a * x)),(b))| is complex Element of COMPLEX
((a * x),b) *' is complex Element of COMPLEX
(x,b) is complex Element of COMPLEX
|((x),(b))| is complex V34() ext-real Element of REAL
|((x),(b))| is complex V34() ext-real Element of REAL
<i> * |((x),(b))| is complex Element of COMPLEX
|((x),(b))| - (<i> * |((x),(b))|) is complex Element of COMPLEX
|((x),(b))| is complex V34() ext-real Element of REAL
<i> * |((x),(b))| is complex Element of COMPLEX
(|((x),(b))| - (<i> * |((x),(b))|)) + (<i> * |((x),(b))|) is complex Element of COMPLEX
|((x),(b))| is complex V34() ext-real Element of REAL
((|((x),(b))| - (<i> * |((x),(b))|)) + (<i> * |((x),(b))|)) + |((x),(b))| is complex Element of COMPLEX
a * (x,b) is complex Element of COMPLEX
(a * (x,b)) *' is complex Element of COMPLEX
(x,b) *' is complex Element of COMPLEX
(a *') * ((x,b) *') is complex Element of COMPLEX
a is complex Element of COMPLEX
b is complex Element of COMPLEX
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
y is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len y is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
z is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len z is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a * x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b * y is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a * x) + (b * y) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((a * x) + (b * y)),z) is complex Element of COMPLEX
(((a * x) + (b * y))) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(((a * x) + (b * y))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a * x) + (b * y)) + (((a * x) + (b * y))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (((a * x) + (b * y)) + (((a * x) + (b * y)))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(z) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(z) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
z + (z) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (z + (z)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((((a * x) + (b * y))),(z))| is complex V34() ext-real Element of REAL
(z) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
z - (z) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (z) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (z) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
z + (- (z)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (z - (z)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((((a * x) + (b * y))),(z))| is complex V34() ext-real Element of REAL
<i> * |((((a * x) + (b * y))),(z))| is complex Element of COMPLEX
|((((a * x) + (b * y))),(z))| - (<i> * |((((a * x) + (b * y))),(z))|) is complex Element of COMPLEX
(((a * x) + (b * y))) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((a * x) + (b * y)) - (((a * x) + (b * y))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (((a * x) + (b * y))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (((a * x) + (b * y))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((a * x) + (b * y)) + (- (((a * x) + (b * y)))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (((a * x) + (b * y)) - (((a * x) + (b * y)))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((((a * x) + (b * y))),(z))| is complex V34() ext-real Element of REAL
<i> * |((((a * x) + (b * y))),(z))| is complex Element of COMPLEX
(|((((a * x) + (b * y))),(z))| - (<i> * |((((a * x) + (b * y))),(z))|)) + (<i> * |((((a * x) + (b * y))),(z))|) is complex Element of COMPLEX
|((((a * x) + (b * y))),(z))| is complex V34() ext-real Element of REAL
((|((((a * x) + (b * y))),(z))| - (<i> * |((((a * x) + (b * y))),(z))|)) + (<i> * |((((a * x) + (b * y))),(z))|)) + |((((a * x) + (b * y))),(z))| is complex Element of COMPLEX
(x,z) is complex Element of COMPLEX
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x + (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (x + (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((x),(z))| is complex V34() ext-real Element of REAL
|((x),(z))| is complex V34() ext-real Element of REAL
<i> * |((x),(z))| is complex Element of COMPLEX
|((x),(z))| - (<i> * |((x),(z))|) is complex Element of COMPLEX
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
x - (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
x + (- (x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (x - (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((x),(z))| is complex V34() ext-real Element of REAL
<i> * |((x),(z))| is complex Element of COMPLEX
(|((x),(z))| - (<i> * |((x),(z))|)) + (<i> * |((x),(z))|) is complex Element of COMPLEX
|((x),(z))| is complex V34() ext-real Element of REAL
((|((x),(z))| - (<i> * |((x),(z))|)) + (<i> * |((x),(z))|)) + |((x),(z))| is complex Element of COMPLEX
a * (x,z) is complex Element of COMPLEX
(y,z) is complex Element of COMPLEX
(y) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(y) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
y + (y) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (y + (y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((y),(z))| is complex V34() ext-real Element of REAL
|((y),(z))| is complex V34() ext-real Element of REAL
<i> * |((y),(z))| is complex Element of COMPLEX
|((y),(z))| - (<i> * |((y),(z))|) is complex Element of COMPLEX
(y) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
y - (y) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (y) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (y) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
y + (- (y)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (y - (y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((y),(z))| is complex V34() ext-real Element of REAL
<i> * |((y),(z))| is complex Element of COMPLEX
(|((y),(z))| - (<i> * |((y),(z))|)) + (<i> * |((y),(z))|) is complex Element of COMPLEX
|((y),(z))| is complex V34() ext-real Element of REAL
((|((y),(z))| - (<i> * |((y),(z))|)) + (<i> * |((y),(z))|)) + |((y),(z))| is complex Element of COMPLEX
b * (y,z) is complex Element of COMPLEX
(a * (x,z)) + (b * (y,z)) is complex Element of COMPLEX
len (a * x) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (b * y) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
((a * x),z) is complex Element of COMPLEX
((a * x)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((a * x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a * x) + ((a * x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((a * x) + ((a * x))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a * x)),(z))| is complex V34() ext-real Element of REAL
|(((a * x)),(z))| is complex V34() ext-real Element of REAL
<i> * |(((a * x)),(z))| is complex Element of COMPLEX
|(((a * x)),(z))| - (<i> * |(((a * x)),(z))|) is complex Element of COMPLEX
((a * x)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a * x) - ((a * x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((a * x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((a * x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a * x) + (- ((a * x))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((a * x) - ((a * x))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((a * x)),(z))| is complex V34() ext-real Element of REAL
<i> * |(((a * x)),(z))| is complex Element of COMPLEX
(|(((a * x)),(z))| - (<i> * |(((a * x)),(z))|)) + (<i> * |(((a * x)),(z))|) is complex Element of COMPLEX
|(((a * x)),(z))| is complex V34() ext-real Element of REAL
((|(((a * x)),(z))| - (<i> * |(((a * x)),(z))|)) + (<i> * |(((a * x)),(z))|)) + |(((a * x)),(z))| is complex Element of COMPLEX
((b * y),z) is complex Element of COMPLEX
((b * y)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((b * y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b * y) + ((b * y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((b * y) + ((b * y))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((b * y)),(z))| is complex V34() ext-real Element of REAL
|(((b * y)),(z))| is complex V34() ext-real Element of REAL
<i> * |(((b * y)),(z))| is complex Element of COMPLEX
|(((b * y)),(z))| - (<i> * |(((b * y)),(z))|) is complex Element of COMPLEX
((b * y)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b * y) - ((b * y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((b * y)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((b * y)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(b * y) + (- ((b * y))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((b * y) - ((b * y))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|(((b * y)),(z))| is complex V34() ext-real Element of REAL
<i> * |(((b * y)),(z))| is complex Element of COMPLEX
(|(((b * y)),(z))| - (<i> * |(((b * y)),(z))|)) + (<i> * |(((b * y)),(z))|) is complex Element of COMPLEX
|(((b * y)),(z))| is complex V34() ext-real Element of REAL
((|(((b * y)),(z))| - (<i> * |(((b * y)),(z))|)) + (<i> * |(((b * y)),(z))|)) + |(((b * y)),(z))| is complex Element of COMPLEX
((a * x),z) + ((b * y),z) is complex Element of COMPLEX
(a * (x,z)) + ((b * y),z) is complex Element of COMPLEX
a is complex Element of COMPLEX
b is complex Element of COMPLEX
a *' is complex Element of COMPLEX
b *' is complex Element of COMPLEX
x is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len x is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
y is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len y is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
z is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
len z is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
a * y is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
b * z is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a * y) + (b * z) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(x,((a * y) + (b * z))) is complex Element of COMPLEX
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
x + (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (x + (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(((a * y) + (b * z))) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(((a * y) + (b * z))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
((a * y) + (b * z)) + (((a * y) + (b * z))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (((a * y) + (b * z)) + (((a * y) + (b * z)))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((x),(((a * y) + (b * z))))| is complex V34() ext-real Element of REAL
(((a * y) + (b * z))) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((a * y) + (b * z)) - (((a * y) + (b * z))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (((a * y) + (b * z))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (((a * y) + (b * z))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
((a * y) + (b * z)) + (- (((a * y) + (b * z)))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (((a * y) + (b * z)) - (((a * y) + (b * z)))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((x),(((a * y) + (b * z))))| is complex V34() ext-real Element of REAL
<i> * |((x),(((a * y) + (b * z))))| is complex Element of COMPLEX
|((x),(((a * y) + (b * z))))| - (<i> * |((x),(((a * y) + (b * z))))|) is complex Element of COMPLEX
(x) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
x - (x) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (x) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
x + (- (x)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (x - (x)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((x),(((a * y) + (b * z))))| is complex V34() ext-real Element of REAL
<i> * |((x),(((a * y) + (b * z))))| is complex Element of COMPLEX
(|((x),(((a * y) + (b * z))))| - (<i> * |((x),(((a * y) + (b * z))))|)) + (<i> * |((x),(((a * y) + (b * z))))|) is complex Element of COMPLEX
|((x),(((a * y) + (b * z))))| is complex V34() ext-real Element of REAL
((|((x),(((a * y) + (b * z))))| - (<i> * |((x),(((a * y) + (b * z))))|)) + (<i> * |((x),(((a * y) + (b * z))))|)) + |((x),(((a * y) + (b * z))))| is complex Element of COMPLEX
(x,y) is complex Element of COMPLEX
(y) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(y) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
y + (y) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (y + (y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((x),(y))| is complex V34() ext-real Element of REAL
(y) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
y - (y) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (y) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (y) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
y + (- (y)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (y - (y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((x),(y))| is complex V34() ext-real Element of REAL
<i> * |((x),(y))| is complex Element of COMPLEX
|((x),(y))| - (<i> * |((x),(y))|) is complex Element of COMPLEX
|((x),(y))| is complex V34() ext-real Element of REAL
<i> * |((x),(y))| is complex Element of COMPLEX
(|((x),(y))| - (<i> * |((x),(y))|)) + (<i> * |((x),(y))|) is complex Element of COMPLEX
|((x),(y))| is complex V34() ext-real Element of REAL
((|((x),(y))| - (<i> * |((x),(y))|)) + (<i> * |((x),(y))|)) + |((x),(y))| is complex Element of COMPLEX
(a *') * (x,y) is complex Element of COMPLEX
(x,z) is complex Element of COMPLEX
(z) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(z) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
z + (z) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * (z + (z)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((x),(z))| is complex V34() ext-real Element of REAL
(z) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
z - (z) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- (z) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * (z) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
z + (- (z)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * (z - (z)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((x),(z))| is complex V34() ext-real Element of REAL
<i> * |((x),(z))| is complex Element of COMPLEX
|((x),(z))| - (<i> * |((x),(z))|) is complex Element of COMPLEX
|((x),(z))| is complex V34() ext-real Element of REAL
<i> * |((x),(z))| is complex Element of COMPLEX
(|((x),(z))| - (<i> * |((x),(z))|)) + (<i> * |((x),(z))|) is complex Element of COMPLEX
|((x),(z))| is complex V34() ext-real Element of REAL
((|((x),(z))| - (<i> * |((x),(z))|)) + (<i> * |((x),(z))|)) + |((x),(z))| is complex Element of COMPLEX
(b *') * (x,z) is complex Element of COMPLEX
((a *') * (x,y)) + ((b *') * (x,z)) is complex Element of COMPLEX
len (a * y) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
len (b * z) is natural complex V34() V35() V36() ext-real V64() V65() V66() V67() V68() V69() Element of NAT
(x,(a * y)) is complex Element of COMPLEX
((a * y)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((a * y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(a * y) + ((a * y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((a * y) + ((a * y))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((x),((a * y)))| is complex V34() ext-real Element of REAL
((a * y)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(a * y) - ((a * y)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((a * y)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((a * y)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(a * y) + (- ((a * y))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((a * y) - ((a * y))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((x),((a * y)))| is complex V34() ext-real Element of REAL
<i> * |((x),((a * y)))| is complex Element of COMPLEX
|((x),((a * y)))| - (<i> * |((x),((a * y)))|) is complex Element of COMPLEX
|((x),((a * y)))| is complex V34() ext-real Element of REAL
<i> * |((x),((a * y)))| is complex Element of COMPLEX
(|((x),((a * y)))| - (<i> * |((x),((a * y)))|)) + (<i> * |((x),((a * y)))|) is complex Element of COMPLEX
|((x),((a * y)))| is complex V34() ext-real Element of REAL
((|((x),((a * y)))| - (<i> * |((x),((a * y)))|)) + (<i> * |((x),((a * y)))|)) + |((x),((a * y)))| is complex Element of COMPLEX
(x,(b * z)) is complex Element of COMPLEX
((b * z)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
((b * z)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(b * z) + ((b * z)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
(1 / 2) * ((b * z) + ((b * z))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((x),((b * z)))| is complex V34() ext-real Element of REAL
((b * z)) is Relation-like NAT -defined REAL -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued ext-real-valued real-valued FinSequence of REAL
(b * z) - ((b * z)) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
- ((b * z)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- 1) * ((b * z)) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(b * z) + (- ((b * z))) is Relation-like NAT -defined Function-like V39() FinSequence-like FinSubsequence-like complex-valued set
(- ((1 / 2) * <i>)) * ((b * z) - ((b * z))) is Relation-like NAT -defined COMPLEX -valued Function-like V39() FinSequence-like FinSubsequence-like complex-valued FinSequence of COMPLEX
|((x),((b * z)))| is complex V34() ext-real Element of REAL
<i> * |((x),((b * z)))| is complex Element of COMPLEX
|((x),((b * z)))| - (<i> * |((x),((b * z)))|) is complex Element of COMPLEX
|((x),((b * z)))| is complex V34() ext-real Element of REAL
<i> * |((x),((b * z)))| is complex Element of COMPLEX
(|((x),((b * z)))| - (<i> * |((x),((b * z)))|)) + (<i> * |((x),((b * z)))|) is complex Element of COMPLEX
|((x),((b * z)))| is complex V34() ext-real Element of REAL
((|((x),((b * z)))| - (<i> * |((x),((b * z)))|)) + (<i> * |((x),((b * z)))|)) + |((x),((b * z)))| is complex Element of COMPLEX
(x,(a * y)) + (x,(b * z)) is complex Element of COMPLEX
((a *') * (x,y)) + (x,(b * z)) is complex Element of COMPLEX