REAL is non empty non trivial V28() V168() V169() V170() V174() set
NAT is non trivial ordinal V28() V33() V34() V168() V169() V170() V171() V172() V173() V174() Element of bool REAL
bool REAL is non trivial V28() set
INT is non empty non trivial V28() V168() V169() V170() V171() V172() V174() set
omega is non trivial ordinal V28() V33() V34() V168() V169() V170() V171() V172() V173() V174() set
bool omega is non trivial V28() set
bool NAT is non trivial V28() set
COMPLEX is non empty non trivial V28() V168() V174() set
RAT is non empty non trivial V28() V168() V169() V170() V171() V174() set
[:COMPLEX,COMPLEX:] is non trivial V28() complex-yielding set
bool [:COMPLEX,COMPLEX:] is non trivial V28() set
[:[:COMPLEX,COMPLEX:],COMPLEX:] is non trivial V28() complex-yielding set
bool [:[:COMPLEX,COMPLEX:],COMPLEX:] is non trivial V28() set
[:REAL,REAL:] is non trivial V28() complex-yielding V159() V160() set
bool [:REAL,REAL:] is non trivial V28() set
[:[:REAL,REAL:],REAL:] is non trivial V28() complex-yielding V159() V160() set
bool [:[:REAL,REAL:],REAL:] is non trivial V28() set
[:RAT,RAT:] is V5( RAT ) non trivial V28() complex-yielding V159() V160() set
bool [:RAT,RAT:] is non trivial V28() set
[:[:RAT,RAT:],RAT:] is V5( RAT ) non trivial V28() complex-yielding V159() V160() set
bool [:[:RAT,RAT:],RAT:] is non trivial V28() set
[:INT,INT:] is V5( RAT ) V5( INT ) non trivial V28() complex-yielding V159() V160() set
bool [:INT,INT:] is non trivial V28() set
[:[:INT,INT:],INT:] is V5( RAT ) V5( INT ) non trivial V28() complex-yielding V159() V160() set
bool [:[:INT,INT:],INT:] is non trivial V28() set
[:NAT,NAT:] is V5( RAT ) V5( INT ) complex-yielding V159() V160() V161() set
[:[:NAT,NAT:],NAT:] is V5( RAT ) V5( INT ) complex-yielding V159() V160() V161() set
bool [:[:NAT,NAT:],NAT:] is set
{} is functional empty ordinal natural V28() V32() V33() V35( {} ) FinSequence-membered ext-real non positive non negative V168() V169() V170() V171() V172() V173() V174() set
K271(NAT) is V100() set
1 is non empty ordinal natural V28() V33() V90() real V92() V93() ext-real positive non negative V168() V169() V170() V171() V172() V173() Element of NAT
2 is non empty ordinal natural V28() V33() V90() real V92() V93() ext-real positive non negative V168() V169() V170() V171() V172() V173() Element of NAT
F_Real is non empty V44() non trivial right_complementable almost_left_invertible strict unital associative commutative V122() V123() V124() right-distributive left-distributive right_unital well-unital V136() left_unital doubleLoopStr
K208() is V1() V4([:REAL,REAL:]) V5( REAL ) Function-like quasi_total complex-yielding V159() V160() Element of bool [:[:REAL,REAL:],REAL:]
K210() is V1() V4([:REAL,REAL:]) V5( REAL ) Function-like quasi_total complex-yielding V159() V160() Element of bool [:[:REAL,REAL:],REAL:]
0 is functional empty ordinal natural V28() V32() V33() V35( {} ) FinSequence-membered V90() real V92() V93() ext-real non positive non negative V168() V169() V170() V171() V172() V173() V174() Element of NAT
doubleLoopStr(# REAL,K208(),K210(),1,0 #) is strict doubleLoopStr
the U1 of F_Real is non empty non trivial V168() V169() V170() set
the U1 of F_Real * is functional non empty FinSequence-membered FinSequenceSet of the U1 of F_Real
REAL * is functional non empty FinSequence-membered FinSequenceSet of REAL
[:1,1:] is V5( RAT ) V5( INT ) V28() complex-yielding V159() V160() V161() set
bool [:1,1:] is V28() V32() set
[:[:1,1:],1:] is V5( RAT ) V5( INT ) V28() complex-yielding V159() V160() V161() set
bool [:[:1,1:],1:] is V28() V32() set
[:[:1,1:],REAL:] is complex-yielding V159() V160() set
bool [:[:1,1:],REAL:] is set
[:2,2:] is V5( RAT ) V5( INT ) V28() complex-yielding V159() V160() V161() set
[:[:2,2:],REAL:] is complex-yielding V159() V160() set
bool [:[:2,2:],REAL:] is set
TOP-REAL 2 is V210() L16()
the U1 of (TOP-REAL 2) is set
3 is non empty ordinal natural V28() V33() V90() real V92() V93() ext-real positive non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg 3 is non empty V28() V35(3) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= 3 ) } is set
{1,2,3} is V28() V168() V169() V170() V171() V172() V173() set
n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n - A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
K475(A) is V1() Function-like complex-yielding set
- 1 is V90() set
(- 1) * A is V1() Function-like set
K446(n,K475(A)) is V1() Function-like set
y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n - A) . y is V90() real ext-real set
n . y is V90() real ext-real set
A . y is V90() real ext-real set
(n . y) - (A . y) is set
x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
B is V1() V4( NAT ) V5( REAL ) Function-like V28() V35(x0) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of x0 -tuples_on REAL
i4 is V1() V4( NAT ) V5( REAL ) Function-like V28() V35(x0) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of x0 -tuples_on REAL
B - i4 is V1() V4( NAT ) V5( REAL ) Function-like V28() V35(x0) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of x0 -tuples_on REAL
K475(i4) is V1() Function-like complex-yielding set
(- 1) * i4 is V1() Function-like set
K446(B,K475(i4)) is V1() Function-like set
(B - i4) . y is V90() real ext-real set
B . y is V90() real ext-real set
i4 . y is V90() real ext-real set
(B . y) - (i4 . y) is set
n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n + A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
0* (len n) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of REAL (len n)
REAL (len n) is functional FinSequence-membered FinSequenceSet of REAL
- A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
- 1 is V90() set
(- 1) * A is V1() Function-like set
- n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(- 1) * n is V1() Function-like set
(0* (len n)) - A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
K475(A) is V1() Function-like complex-yielding set
K446((0* (len n)),K475(A)) is V1() Function-like set
- (- A) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(- 1) * (- A) is V1() Function-like set
n is non empty set
n * is functional non empty FinSequence-membered FinSequenceSet of n
A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) V5(n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of n *
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Line (y,A) is V1() V4( NAT ) V5(n) Function-like V28() V35( width y) FinSequence-like FinSubsequence-like Element of (width y) -tuples_on n
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width y) -tuples_on n is functional non empty FinSequence-membered FinSequenceSet of n
y . A is FinSequence-like set
dom y is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
n is non empty set
n * is functional non empty FinSequence-membered FinSequenceSet of n
A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is V1() V4( NAT ) V5(n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of n *
x0 . A is FinSequence-like set
len x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 * (A,y) is Element of n
B is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
len B is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
B . y is set
Seg (width x0) is V28() V35( width x0) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width x0 ) } is set
dom B is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
rng B is V28() set
i4 is Element of n
dom x0 is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
[A,y] is set
{A,y} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{A} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{A,y},{A}} is non empty V28() V32() set
Indices x0 is set
[:(dom x0),(Seg (width x0)):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
[n,A] is set
{n,A} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{n} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{n,A},{n}} is non empty V28() V32() set
y is real set
x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Indices x0 is set
dom x0 is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
width x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width x0) is V28() V35( width x0) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width x0 ) } is set
[:(dom x0),(Seg (width x0)):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
y * x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(y * x0) * (n,A) is V90() real ext-real Element of REAL
x0 * (n,A) is V90() real ext-real Element of REAL
y * (x0 * (n,A)) is V90() real ext-real Element of REAL
MXR2MXF x0 is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
B is V90() real ext-real Element of the U1 of F_Real
B * (MXR2MXF x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR (B * (MXR2MXF x0)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXF2MXR (B * (MXR2MXF x0))) * (n,A) is V90() real ext-real Element of REAL
(MXR2MXF x0) * (n,A) is V90() real ext-real Element of the U1 of F_Real
B * ((MXR2MXF x0) * (n,A)) is V90() real ext-real Element of the U1 of F_Real
K186(B,((MXR2MXF x0) * (n,A))) is V90() real ext-real Element of REAL
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
A * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len (A * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (A * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (MXR2MXF A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (MXR2MXF y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (MXR2MXF A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (MXR2MXF y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is real set
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n * A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len (n * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (n * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
y is V90() real ext-real Element of the U1 of F_Real
y * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR (y * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (MXF2MXR (y * (MXR2MXF A))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
width (MXR2MXF (MXF2MXR (y * (MXR2MXF A)))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (MXR2MXF (MXF2MXR (y * (MXR2MXF A)))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n - A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF n is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF n) - (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF n) - (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len (n - A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (n - A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Indices n is set
dom n is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width n) is V28() V35( width n) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width n ) } is set
[:(dom n),(Seg (width n)):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
- (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF n) + (- (MXR2MXF A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF n) + (- (MXR2MXF A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len (MXF2MXR ((MXR2MXF n) + (- (MXR2MXF A)))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (MXF2MXR ((MXR2MXF n) + (- (MXR2MXF A)))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
[y,x0] is set
{y,x0} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{y} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{y,x0},{y}} is non empty V28() V32() set
(n - A) * (y,x0) is V90() real ext-real Element of REAL
n * (y,x0) is V90() real ext-real Element of REAL
A * (y,x0) is V90() real ext-real Element of REAL
(n * (y,x0)) - (A * (y,x0)) is V90() real ext-real Element of REAL
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
A * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (A * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (A * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A - A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) - (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) - (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n + (A - A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF n is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (A - A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF n) + (MXR2MXF (A - A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF n) + (MXR2MXF (A - A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
0_Rmatrix ((len A),(width A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
0. (F_Real,(len A),(width A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of len A, width A, the U1 of F_Real
MXF2MXR (0. (F_Real,(len A),(width A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n + (0_Rmatrix ((len A),(width A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (0_Rmatrix ((len A),(width A))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF n) + (MXR2MXF (0_Rmatrix ((len A),(width A)))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF n) + (MXR2MXF (0_Rmatrix ((len A),(width A))))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXF2MXR (MXR2MXF n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
- (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) + (- (MXR2MXF A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) + (- (MXR2MXF A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXF2MXR (MXR2MXF n)) + (MXF2MXR ((MXR2MXF A) + (- (MXR2MXF A)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (MXF2MXR (MXR2MXF n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (MXF2MXR ((MXR2MXF A) + (- (MXR2MXF A)))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (MXF2MXR (MXR2MXF n))) + (MXR2MXF (MXF2MXR ((MXR2MXF A) + (- (MXR2MXF A))))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (MXF2MXR (MXR2MXF n))) + (MXR2MXF (MXF2MXR ((MXR2MXF A) + (- (MXR2MXF A)))))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n + A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF n is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF n) + (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF n) + (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n + A) - A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (n + A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n + A)) - (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n + A)) - (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
- A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
- (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR (- (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n + A) + (- A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (- A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n + A)) + (MXR2MXF (- A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n + A)) + (MXR2MXF (- A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A + (- A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXR2MXF A) + (MXR2MXF (- A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) + (MXR2MXF (- A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n + (A + (- A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (A + (- A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF n) + (MXR2MXF (A + (- A))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF n) + (MXR2MXF (A + (- A)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A - A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXR2MXF A) - (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) - (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n + (A - A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (A - A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF n) + (MXR2MXF (A - A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF n) + (MXR2MXF (A - A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
[n,A] is set
{n,A} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{n} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{n,A},{n}} is non empty V28() V32() set
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Indices y is set
dom y is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width y) is V28() V35( width y) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width y ) } is set
[:(dom y),(Seg (width y)):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
- y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
- (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR (- (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(- y) * (n,A) is V90() real ext-real Element of REAL
y * (n,A) is V90() real ext-real Element of REAL
- (y * (n,A)) is V90() real ext-real Element of REAL
(MXR2MXF y) * (n,A) is V90() real ext-real Element of the U1 of F_Real
- ((MXR2MXF y) * (n,A)) is V90() real ext-real Element of the U1 of F_Real
K182(((MXR2MXF y) * (n,A))) is V90() real ext-real Element of REAL
- 1 is V90() real ext-real Element of REAL
n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(- 1) * n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
- n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF n is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
- (MXR2MXF n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR (- (MXR2MXF n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
width ((- 1) * n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len ((- 1) * n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is ordinal natural V28() V33() ext-real non negative set
y is ordinal natural V28() V33() ext-real non negative set
[A,y] is set
{A,y} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{A} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{A,y},{A}} is non empty V28() V32() set
Indices ((- 1) * n) is set
dom ((- 1) * n) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width ((- 1) * n)) is V28() V35( width ((- 1) * n)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width ((- 1) * n) ) } is set
[:(dom ((- 1) * n)),(Seg (width ((- 1) * n))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
B is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
[x0,B] is set
{x0,B} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{x0} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{x0,B},{x0}} is non empty V28() V32() set
Indices n is set
dom n is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width n) is V28() V35( width n) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width n ) } is set
[:(dom n),(Seg (width n)):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
((- 1) * n) * (A,y) is V90() real ext-real Element of REAL
n * (x0,B) is V90() real ext-real Element of REAL
(- 1) * (n * (x0,B)) is V90() real ext-real Element of REAL
n * (A,y) is V90() real ext-real Element of REAL
- (n * (A,y)) is V90() real ext-real Element of REAL
(- n) * (A,y) is V90() real ext-real Element of REAL
len (- n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (- n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Indices n is set
dom n is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
width n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width n) is V28() V35( width n) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width n ) } is set
[:(dom n),(Seg (width n)):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
- n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF n is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
- (MXR2MXF n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR (- (MXR2MXF n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
[A,y] is set
{A,y} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{A} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{A,y},{A}} is non empty V28() V32() set
(- n) * (A,y) is V90() real ext-real Element of REAL
n * (A,y) is V90() real ext-real Element of REAL
- (n * (A,y)) is V90() real ext-real Element of REAL
(- 1) * n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(- 1) * (n * (A,y)) is V90() real ext-real Element of REAL
n is V90() real ext-real Element of REAL
A is V90() real ext-real Element of REAL
n * A is V90() real ext-real Element of REAL
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n * A) * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n * (A * y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len ((n * A) * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width ((n * A) * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (n * (A * y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (A * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (n * (A * y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (A * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Indices (n * (A * y)) is set
dom (n * (A * y)) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width (n * (A * y))) is V28() V35( width (n * (A * y))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (n * (A * y)) ) } is set
[:(dom (n * (A * y))),(Seg (width (n * (A * y)))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
x0 is ordinal natural V28() V33() ext-real non negative set
B is ordinal natural V28() V33() ext-real non negative set
[x0,B] is set
{x0,B} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{x0} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{x0,B},{x0}} is non empty V28() V32() set
(n * (A * y)) * (x0,B) is V90() real ext-real Element of REAL
((n * A) * y) * (x0,B) is V90() real ext-real Element of REAL
Indices (A * y) is set
dom (A * y) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width (A * y)) is V28() V35( width (A * y)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (A * y) ) } is set
[:(dom (A * y)),(Seg (width (A * y))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Indices y is set
dom y is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width y) is V28() V35( width y) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width y ) } is set
[:(dom y),(Seg (width y)):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
i4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
j4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(A * y) * (i4,j4) is V90() real ext-real Element of REAL
n * ((A * y) * (i4,j4)) is V90() real ext-real Element of REAL
y * (i4,j4) is V90() real ext-real Element of REAL
A * (y * (i4,j4)) is V90() real ext-real Element of REAL
n * (A * (y * (i4,j4))) is V90() real ext-real Element of REAL
(n * A) * (y * (i4,j4)) is V90() real ext-real Element of REAL
n is V90() real ext-real Element of REAL
A is V90() real ext-real Element of REAL
n + A is V90() real ext-real Element of REAL
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n + A) * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n * y) + (A * y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (n * y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (A * y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n * y)) + (MXR2MXF (A * y)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n * y)) + (MXR2MXF (A * y))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len (n * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (n * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len ((n + A) * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width ((n + A) * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Indices ((n + A) * y) is set
dom ((n + A) * y) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width ((n + A) * y)) is V28() V35( width ((n + A) * y)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width ((n + A) * y) ) } is set
[:(dom ((n + A) * y)),(Seg (width ((n + A) * y))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
x0 is ordinal natural V28() V33() ext-real non negative set
B is ordinal natural V28() V33() ext-real non negative set
[x0,B] is set
{x0,B} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{x0} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{x0,B},{x0}} is non empty V28() V32() set
((n + A) * y) * (x0,B) is V90() real ext-real Element of REAL
((n * y) + (A * y)) * (x0,B) is V90() real ext-real Element of REAL
Indices y is set
dom y is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width y) is V28() V35( width y) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width y ) } is set
[:(dom y),(Seg (width y)):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Indices (n * y) is set
dom (n * y) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width (n * y)) is V28() V35( width (n * y)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (n * y) ) } is set
[:(dom (n * y)),(Seg (width (n * y))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
i4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
j4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n * y) * (i4,j4) is V90() real ext-real Element of REAL
(A * y) * (i4,j4) is V90() real ext-real Element of REAL
((n * y) * (i4,j4)) + ((A * y) * (i4,j4)) is V90() real ext-real Element of REAL
y * (i4,j4) is V90() real ext-real Element of REAL
n * (y * (i4,j4)) is V90() real ext-real Element of REAL
(n * (y * (i4,j4))) + ((A * y) * (i4,j4)) is V90() real ext-real Element of REAL
A * (y * (i4,j4)) is V90() real ext-real Element of REAL
(n * (y * (i4,j4))) + (A * (y * (i4,j4))) is V90() real ext-real Element of REAL
y * (x0,B) is V90() real ext-real Element of REAL
(n + A) * (y * (x0,B)) is V90() real ext-real Element of REAL
len ((n * y) + (A * y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width ((n * y) + (A * y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is V90() real ext-real Element of REAL
A is V90() real ext-real Element of REAL
n - A is V90() real ext-real Element of REAL
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n - A) * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n * y) - (A * y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (n * y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (A * y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n * y)) - (MXR2MXF (A * y)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n * y)) - (MXR2MXF (A * y))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len ((n - A) * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width ((n - A) * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (n * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (n * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (A * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (A * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Indices ((n - A) * y) is set
dom ((n - A) * y) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width ((n - A) * y)) is V28() V35( width ((n - A) * y)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width ((n - A) * y) ) } is set
[:(dom ((n - A) * y)),(Seg (width ((n - A) * y))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
x0 is ordinal natural V28() V33() ext-real non negative set
B is ordinal natural V28() V33() ext-real non negative set
[x0,B] is set
{x0,B} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{x0} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{x0,B},{x0}} is non empty V28() V32() set
((n - A) * y) * (x0,B) is V90() real ext-real Element of REAL
((n * y) - (A * y)) * (x0,B) is V90() real ext-real Element of REAL
Indices y is set
dom y is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width y) is V28() V35( width y) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width y ) } is set
[:(dom y),(Seg (width y)):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Indices (n * y) is set
dom (n * y) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width (n * y)) is V28() V35( width (n * y)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (n * y) ) } is set
[:(dom (n * y)),(Seg (width (n * y))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
i4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
j4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n * y) * (i4,j4) is V90() real ext-real Element of REAL
(A * y) * (i4,j4) is V90() real ext-real Element of REAL
((n * y) * (i4,j4)) - ((A * y) * (i4,j4)) is V90() real ext-real Element of REAL
y * (i4,j4) is V90() real ext-real Element of REAL
n * (y * (i4,j4)) is V90() real ext-real Element of REAL
(n * (y * (i4,j4))) - ((A * y) * (i4,j4)) is V90() real ext-real Element of REAL
A * (y * (i4,j4)) is V90() real ext-real Element of REAL
(n * (y * (i4,j4))) - (A * (y * (i4,j4))) is V90() real ext-real Element of REAL
y * (x0,B) is V90() real ext-real Element of REAL
(n - A) * (y * (x0,B)) is V90() real ext-real Element of REAL
width ((n * y) - (A * y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
- (MXR2MXF (A * y)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n * y)) + (- (MXR2MXF (A * y))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n * y)) + (- (MXR2MXF (A * y)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
width (MXF2MXR ((MXR2MXF (n * y)) + (- (MXR2MXF (A * y))))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len ((n * y) - (A * y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (MXF2MXR ((MXR2MXF (n * y)) + (- (MXR2MXF (A * y))))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is non empty V44() non trivial right_complementable almost_left_invertible unital associative commutative V122() V123() V124() right-distributive left-distributive right_unital well-unital V136() left_unital doubleLoopStr
the U1 of A is non empty non trivial set
the U1 of A * is functional non empty FinSequence-membered FinSequenceSet of the U1 of A
y is V1() V4( NAT ) V5( the U1 of A * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of A *
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
0. (A,n,(len y)) is V1() V4( NAT ) V5( the U1 of A * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n, len y, the U1 of A
(0. (A,n,(len y))) * y is V1() V4( NAT ) V5( the U1 of A * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of A *
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
0. (A,n,(width y)) is V1() V4( NAT ) V5( the U1 of A * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n, width y, the U1 of A
len (0. (A,n,(len y))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (0. (A,n,(len y))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len ((0. (A,n,(len y))) * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width ((0. (A,n,(len y))) * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
((0. (A,n,(len y))) * y) + ((0. (A,n,(len y))) * y) is V1() V4( NAT ) V5( the U1 of A * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of A *
(0. (A,n,(len y))) + (0. (A,n,(len y))) is V1() V4( NAT ) V5( the U1 of A * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of A *
((0. (A,n,(len y))) + (0. (A,n,(len y)))) * y is V1() V4( NAT ) V5( the U1 of A * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of A *
n is non empty V44() non trivial right_complementable almost_left_invertible unital associative commutative V122() V123() V124() right-distributive left-distributive right_unital well-unital V136() left_unital doubleLoopStr
the U1 of n is non empty non trivial set
the U1 of n * is functional non empty FinSequence-membered FinSequenceSet of the U1 of n
A is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
- y is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
(- y) * A is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
y * A is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
- (y * A) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
len (- y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (- y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width ((- y) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (y * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len ((- y) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (y * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(y * A) + ((- y) * A) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
x0 is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of len y, width y, the U1 of n
- x0 is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
x0 + (- x0) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
(x0 + (- x0)) * A is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
0. (n,(len y),(width y)) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of len y, width y, the U1 of n
(0. (n,(len y),(width y))) * A is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
0. (n,(len y),(width A)) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of len y, width A, the U1 of n
n is non empty V44() non trivial right_complementable almost_left_invertible unital associative commutative V122() V123() V124() right-distributive left-distributive right_unital well-unital V136() left_unital doubleLoopStr
the U1 of n is non empty non trivial set
the U1 of n * is functional non empty FinSequence-membered FinSequenceSet of the U1 of n
y is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
len x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y - x0 is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
(y - x0) * A is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
y * A is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
x0 * A is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
(y * A) - (x0 * A) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
- x0 is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
width (- x0) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (- x0) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y + (- x0) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
(y + (- x0)) * A is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
(- x0) * A is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
(y * A) + ((- x0) * A) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
- (x0 * A) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
(y * A) + (- (x0 * A)) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n - A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF n is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF n) - (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF n) - (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n - A) * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (n - A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n - A)) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n - A)) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXR2MXF n) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF n) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXR2MXF A) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n * y) - (A * y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (n * y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (A * y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n * y)) - (MXR2MXF (A * y)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n * y)) - (MXR2MXF (A * y))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n is non empty V44() non trivial right_complementable almost_left_invertible unital associative commutative V122() V123() V124() right-distributive left-distributive right_unital well-unital V136() left_unital doubleLoopStr
the U1 of n is non empty non trivial set
the U1 of n * is functional non empty FinSequence-membered FinSequenceSet of the U1 of n
A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
0. (n,(width y),A) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of width y,A, the U1 of n
y * (0. (n,(width y),A)) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
0. (n,(len y),A) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of len y,A, the U1 of n
len (0. (n,(width y),A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (0. (n,(width y),A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (y * (0. (n,(width y),A))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(y * (0. (n,(width y),A))) + (y * (0. (n,(width y),A))) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
(0. (n,(width y),A)) + (0. (n,(width y),A)) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
y * ((0. (n,(width y),A)) + (0. (n,(width y),A))) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
len (y * (0. (n,(width y),A))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is non empty V44() non trivial right_complementable almost_left_invertible unital associative commutative V122() V123() V124() right-distributive left-distributive right_unital well-unital V136() left_unital doubleLoopStr
the U1 of n is non empty non trivial set
the U1 of n * is functional non empty FinSequence-membered FinSequenceSet of the U1 of n
A is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
- y is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
A * (- y) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
A * y is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
- (A * y) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
len (- y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (A * (- y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (- y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (A * (- y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (A * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (A * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(A * y) + (A * (- y)) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
x0 is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of len y, width y, the U1 of n
- x0 is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
x0 + (- x0) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
A * (x0 + (- x0)) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
0. (n,(len y),(width y)) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of len y, width y, the U1 of n
A * (0. (n,(len y),(width y))) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
0. (n,(len A),(width y)) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of len A, width y, the U1 of n
n is non empty V44() non trivial right_complementable almost_left_invertible unital associative commutative V122() V123() V124() right-distributive left-distributive right_unital well-unital V136() left_unital doubleLoopStr
the U1 of n is non empty non trivial set
the U1 of n * is functional non empty FinSequence-membered FinSequenceSet of the U1 of n
y is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
len x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y - x0 is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
A * (y - x0) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
A * y is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
A * x0 is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
(A * y) - (A * x0) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
- x0 is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
width (- x0) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (- x0) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y + (- x0) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
A * (y + (- x0)) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
A * (- x0) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
(A * y) + (A * (- x0)) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
- (A * x0) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
(A * y) + (- (A * x0)) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n - A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF n is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF n) - (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF n) - (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y * (n - A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (n - A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF y) * (MXR2MXF (n - A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF (n - A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y * n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXR2MXF y) * (MXR2MXF n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y * A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXR2MXF y) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(y * n) - (y * A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (y * n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (y * A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (y * n)) - (MXR2MXF (y * A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (y * n)) - (MXR2MXF (y * A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Indices n is set
dom n is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width n) is V28() V35( width n) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width n ) } is set
[:(dom n),(Seg (width n)):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
n - A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF n is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF n) - (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF n) - (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Indices A is set
dom A is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width A) is V28() V35( width A) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width A ) } is set
[:(dom A),(Seg (width A)):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
- A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
- (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR (- (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
x0 is ordinal natural V28() V33() ext-real non negative set
B is ordinal natural V28() V33() ext-real non negative set
[x0,B] is set
{x0,B} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{x0} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{x0,B},{x0}} is non empty V28() V32() set
y * (x0,B) is V90() real ext-real Element of REAL
n * (x0,B) is V90() real ext-real Element of REAL
(- A) * (x0,B) is V90() real ext-real Element of REAL
(n * (x0,B)) + ((- A) * (x0,B)) is V90() real ext-real Element of REAL
i4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
j4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n * (i4,j4) is V90() real ext-real Element of REAL
A * (i4,j4) is V90() real ext-real Element of REAL
(n * (i4,j4)) - (A * (i4,j4)) is V90() real ext-real Element of REAL
- (A * (i4,j4)) is V90() real ext-real Element of REAL
(n * (i4,j4)) + (- (A * (i4,j4))) is V90() real ext-real Element of REAL
n + (- A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (- A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF n) + (MXR2MXF (- A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF n) + (MXR2MXF (- A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n - A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
K475(A) is V1() Function-like complex-yielding set
- 1 is V90() set
(- 1) * A is V1() Function-like set
K446(n,K475(A)) is V1() Function-like set
LineVec2Mx (n - A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
LineVec2Mx n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
LineVec2Mx A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx n) - (LineVec2Mx A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (LineVec2Mx A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx n)) - (MXR2MXF (LineVec2Mx A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx n)) - (MXR2MXF (LineVec2Mx A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
width (LineVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (LineVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width (LineVec2Mx n)) is V28() V35( width (LineVec2Mx n)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (LineVec2Mx n) ) } is set
Seg (len n) is V28() V35( len n) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len n ) } is set
dom n is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
dom (LineVec2Mx n) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (len (LineVec2Mx n)) is V28() V35( len (LineVec2Mx n)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len (LineVec2Mx n) ) } is set
Seg 1 is non empty trivial V28() V35(1) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= 1 ) } is set
dom A is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
width (LineVec2Mx A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (LineVec2Mx A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Indices (LineVec2Mx A) is set
dom (LineVec2Mx A) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width (LineVec2Mx A)) is V28() V35( width (LineVec2Mx A)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (LineVec2Mx A) ) } is set
[:(dom (LineVec2Mx A)),(Seg (width (LineVec2Mx A))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Indices (LineVec2Mx n) is set
[:(dom (LineVec2Mx n)),(Seg (width (LineVec2Mx n))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
len (n - A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
dom (n - A) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
width (LineVec2Mx (n - A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (LineVec2Mx (n - A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Indices (LineVec2Mx (n - A)) is set
dom (LineVec2Mx (n - A)) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width (LineVec2Mx (n - A))) is V28() V35( width (LineVec2Mx (n - A))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (LineVec2Mx (n - A)) ) } is set
[:(dom (LineVec2Mx (n - A))),(Seg (width (LineVec2Mx (n - A)))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
[y,x0] is set
{y,x0} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{y} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{y,x0},{y}} is non empty V28() V32() set
(LineVec2Mx (n - A)) * (y,x0) is V90() real ext-real Element of REAL
(LineVec2Mx n) * (y,x0) is V90() real ext-real Element of REAL
(LineVec2Mx A) * (y,x0) is V90() real ext-real Element of REAL
((LineVec2Mx n) * (y,x0)) - ((LineVec2Mx A) * (y,x0)) is V90() real ext-real Element of REAL
(LineVec2Mx n) . y is FinSequence-like set
B is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
B . x0 is V90() real ext-real set
n . x0 is V90() real ext-real set
(LineVec2Mx (n - A)) . y is FinSequence-like set
i4 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
i4 . x0 is V90() real ext-real set
(LineVec2Mx A) . y is FinSequence-like set
j4 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
j4 . x0 is V90() real ext-real set
A . x0 is V90() real ext-real set
(n - A) . x0 is V90() real ext-real set
n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n - A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
K475(A) is V1() Function-like complex-yielding set
- 1 is V90() set
(- 1) * A is V1() Function-like set
K446(n,K475(A)) is V1() Function-like set
ColVec2Mx (n - A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
ColVec2Mx n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
ColVec2Mx A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(ColVec2Mx n) - (ColVec2Mx A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (ColVec2Mx n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (ColVec2Mx A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (ColVec2Mx n)) - (MXR2MXF (ColVec2Mx A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (ColVec2Mx n)) - (MXR2MXF (ColVec2Mx A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
width (ColVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width (ColVec2Mx n)) is V28() V35( width (ColVec2Mx n)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (ColVec2Mx n) ) } is set
Seg 1 is non empty trivial V28() V35(1) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= 1 ) } is set
dom n is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
dom A is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
len (n - A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
dom (n - A) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
len (ColVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
dom (ColVec2Mx n) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
len (ColVec2Mx A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (ColVec2Mx A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Indices (ColVec2Mx A) is set
dom (ColVec2Mx A) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width (ColVec2Mx A)) is V28() V35( width (ColVec2Mx A)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (ColVec2Mx A) ) } is set
[:(dom (ColVec2Mx A)),(Seg (width (ColVec2Mx A))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Indices (ColVec2Mx n) is set
[:(dom (ColVec2Mx n)),(Seg (width (ColVec2Mx n))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
len (ColVec2Mx (n - A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (ColVec2Mx (n - A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Indices (ColVec2Mx (n - A)) is set
dom (ColVec2Mx (n - A)) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width (ColVec2Mx (n - A))) is V28() V35( width (ColVec2Mx (n - A))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (ColVec2Mx (n - A)) ) } is set
[:(dom (ColVec2Mx (n - A))),(Seg (width (ColVec2Mx (n - A)))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
[y,x0] is set
{y,x0} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{y} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{y,x0},{y}} is non empty V28() V32() set
(ColVec2Mx (n - A)) * (y,x0) is V90() real ext-real Element of REAL
(ColVec2Mx n) * (y,x0) is V90() real ext-real Element of REAL
(ColVec2Mx A) * (y,x0) is V90() real ext-real Element of REAL
((ColVec2Mx n) * (y,x0)) - ((ColVec2Mx A) * (y,x0)) is V90() real ext-real Element of REAL
(ColVec2Mx n) . y is FinSequence-like set
B is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
B . x0 is V90() real ext-real set
n . y is V90() real ext-real set
<*(n . y)*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(n . y)] is set
{1,(n . y)} is non empty V28() V168() V169() V170() set
{1} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{1,(n . y)},{1}} is non empty V28() V32() set
{[1,(n . y)]} is non empty trivial V28() V35(1) set
(ColVec2Mx (n - A)) . y is FinSequence-like set
i4 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
i4 . x0 is V90() real ext-real set
(ColVec2Mx A) . y is FinSequence-like set
j4 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
j4 . x0 is V90() real ext-real set
A . y is V90() real ext-real set
<*(A . y)*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A . y)] is set
{1,(A . y)} is non empty V28() V168() V169() V170() set
{{1,(A . y)},{1}} is non empty V28() V32() set
{[1,(A . y)]} is non empty trivial V28() V35(1) set
(n - A) . y is V90() real ext-real set
<*((n - A) . y)*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,((n - A) . y)] is set
{1,((n - A) . y)} is non empty V28() V168() V169() V170() set
{{1,((n - A) . y)},{1}} is non empty V28() V32() set
{[1,((n - A) . y)]} is non empty trivial V28() V35(1) set
n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n - A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF n is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF n) - (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF n) - (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
width (n - A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is ordinal natural V28() V33() ext-real non negative set
Line ((n - A),y) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width (n - A)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width (n - A)) -tuples_on REAL
(width (n - A)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
Line (n,y) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width n) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width n) -tuples_on REAL
(width n) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
Line (A,y) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width A) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width A) -tuples_on REAL
(width A) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(Line (n,y)) - (Line (A,y)) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
K475((Line (A,y))) is V1() Function-like complex-yielding set
- 1 is V90() set
(- 1) * (Line (A,y)) is V1() Function-like set
K446((Line (n,y)),K475((Line (A,y)))) is V1() Function-like set
len (Line (n,y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (Line (A,y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
dom n is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width (n - A)) is V28() V35( width (n - A)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (n - A) ) } is set
B is ordinal natural V28() V33() ext-real non negative set
((Line (n,y)) - (Line (A,y))) . B is V90() real ext-real set
(n - A) * (y,B) is V90() real ext-real Element of REAL
x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Line (n,x0) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width n) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width n) -tuples_on REAL
Line (A,x0) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width A) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width A) -tuples_on REAL
(Line (n,x0)) - (Line (A,x0)) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
K475((Line (A,x0))) is V1() Function-like complex-yielding set
(- 1) * (Line (A,x0)) is V1() Function-like set
K446((Line (n,x0)),K475((Line (A,x0)))) is V1() Function-like set
((Line (n,x0)) - (Line (A,x0))) . B is V90() real ext-real set
i4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(Line (n,x0)) . i4 is V90() real ext-real set
(Line (A,x0)) . i4 is V90() real ext-real set
((Line (n,x0)) . i4) - ((Line (A,x0)) . i4) is set
[y,B] is set
{y,B} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{y} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{y,B},{y}} is non empty V28() V32() set
Indices n is set
Seg (width n) is V28() V35( width n) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width n ) } is set
[:(dom n),(Seg (width n)):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
(n - A) * (x0,i4) is V90() real ext-real Element of REAL
n * (x0,i4) is V90() real ext-real Element of REAL
A * (x0,i4) is V90() real ext-real Element of REAL
(n * (x0,i4)) - (A * (x0,i4)) is V90() real ext-real Element of REAL
(Line (n,y)) . B is V90() real ext-real set
n * (y,B) is V90() real ext-real Element of REAL
len ((Line (n,y)) - (Line (A,y))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n - A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF n is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF n) - (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF n) - (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len (n - A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is ordinal natural V28() V33() ext-real non negative set
Col ((n - A),y) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (n - A)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (n - A)) -tuples_on REAL
(len (n - A)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
Col (n,y) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len n) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len n) -tuples_on REAL
(len n) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
Col (A,y) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len A) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len A) -tuples_on REAL
(len A) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(Col (n,y)) - (Col (A,y)) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
K475((Col (A,y))) is V1() Function-like complex-yielding set
- 1 is V90() set
(- 1) * (Col (A,y)) is V1() Function-like set
K446((Col (n,y)),K475((Col (A,y)))) is V1() Function-like set
len (Col (n,y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width n) is V28() V35( width n) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width n ) } is set
len (Col (A,y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
dom n is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
dom A is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
dom (n - A) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
x0 is ordinal natural V28() V33() ext-real non negative set
((Col (n,y)) - (Col (A,y))) . x0 is V90() real ext-real set
(n - A) * (x0,y) is V90() real ext-real Element of REAL
Seg (len (n - A)) is V28() V35( len (n - A)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len (n - A) ) } is set
[x0,y] is set
{x0,y} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{x0} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{x0,y},{x0}} is non empty V28() V32() set
Indices n is set
[:(dom n),(Seg (width n)):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
B is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(Col (n,y)) . B is V90() real ext-real set
n * (B,y) is V90() real ext-real Element of REAL
(Col (A,y)) . B is V90() real ext-real set
A * (B,y) is V90() real ext-real Element of REAL
((Col (n,y)) . B) - ((Col (A,y)) . B) is set
(n - A) * (B,y) is V90() real ext-real Element of REAL
len ((Col (n,y)) - (Col (A,y))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
B is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,A, REAL
i4 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of A,y, REAL
B * i4 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF B is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF i4 is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF B) * (MXR2MXF i4) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF B) * (MXR2MXF i4)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
j4 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of y,x0, REAL
(B * i4) * j4 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (B * i4) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF j4 is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (B * i4)) * (MXR2MXF j4) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (B * i4)) * (MXR2MXF j4)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
i4 * j4 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXR2MXF i4) * (MXR2MXF j4) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF i4) * (MXR2MXF j4)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
B * (i4 * j4) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (i4 * j4) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF B) * (MXR2MXF (i4 * j4)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF B) * (MXR2MXF (i4 * j4))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
width i4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len j4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width B is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len i4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,A,y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,(n,A,y),x0) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n,A,y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF x0 is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n,A,y)) * (MXR2MXF x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,A,y)) * (MXR2MXF x0)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,y,x0) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(MXR2MXF y) * (MXR2MXF x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF x0)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,A,(n,y,x0)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n,y,x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF (n,y,x0)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (n,y,x0))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is non empty set
n * is functional non empty FinSequence-membered FinSequenceSet of n
A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) V5(n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of A,A,n
y @ is V1() V4( NAT ) V5(n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of A,A,n
(y @) @ is V1() V4( NAT ) V5(n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of A,A,n
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is V1() V4( NAT ) V5(n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of A,A,n
x0 @ is V1() V4( NAT ) V5(n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of A,A,n
Indices (x0 @) is set
dom (x0 @) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
width (x0 @) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width (x0 @)) is V28() V35( width (x0 @)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (x0 @) ) } is set
[:(dom (x0 @)),(Seg (width (x0 @))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Seg A is V28() V35(A) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= A ) } is set
[:(Seg A),(Seg A):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Indices y is set
dom y is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width y) is V28() V35( width y) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width y ) } is set
[:(dom y),(Seg (width y)):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
B is ordinal natural V28() V33() ext-real non negative set
i4 is ordinal natural V28() V33() ext-real non negative set
[B,i4] is set
{B,i4} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{B} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{B,i4},{B}} is non empty V28() V32() set
(x0 @) * (B,i4) is Element of n
y * (B,i4) is Element of n
[i4,B] is set
{i4,B} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{i4} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{i4,B},{i4}} is non empty V28() V32() set
Indices x0 is set
dom x0 is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
width x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width x0) is V28() V35( width x0) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width x0 ) } is set
[:(dom x0),(Seg (width x0)):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
x0 * (i4,B) is Element of n
len (x0 @) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,A,y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,A,y) @ is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
y @ is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
A @ is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,(y @),(A @)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (y @) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (A @) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (y @)) * (MXR2MXF (A @)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (y @)) * (MXR2MXF (A @))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (n,A,y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (y @) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (n,(y @),(A @)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (y @) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (A @) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (n,A,y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (A @) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (n,(y @),(A @)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Indices ((n,A,y) @) is set
dom ((n,A,y) @) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
width ((n,A,y) @) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width ((n,A,y) @)) is V28() V35( width ((n,A,y) @)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width ((n,A,y) @) ) } is set
[:(dom ((n,A,y) @)),(Seg (width ((n,A,y) @))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Seg n is V28() V35(n) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= n ) } is set
[:(Seg n),(Seg n):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
x0 is ordinal natural V28() V33() ext-real non negative set
B is ordinal natural V28() V33() ext-real non negative set
[x0,B] is set
{x0,B} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{x0} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{x0,B},{x0}} is non empty V28() V32() set
Seg (len (n,A,y)) is V28() V35( len (n,A,y)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len (n,A,y) ) } is set
dom (n,A,y) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width (n,A,y)) is V28() V35( width (n,A,y)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (n,A,y) ) } is set
[B,x0] is set
{B,x0} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{B} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{B,x0},{B}} is non empty V28() V32() set
Indices (n,A,y) is set
[:(dom (n,A,y)),(Seg (width (n,A,y))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Seg (width (A @)) is V28() V35( width (A @)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (A @) ) } is set
dom A is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Col ((A @),B) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (A @)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (A @)) -tuples_on REAL
(len (A @)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
Line (A,B) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width A) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width A) -tuples_on REAL
(width A) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
Seg (width y) is V28() V35( width y) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width y ) } is set
dom (y @) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Indices (n,(y @),(A @)) is set
dom (n,(y @),(A @)) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width (n,(y @),(A @))) is V28() V35( width (n,(y @),(A @))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (n,(y @),(A @)) ) } is set
[:(dom (n,(y @),(A @))),(Seg (width (n,(y @),(A @)))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
[:(dom (y @)),(Seg (width (A @))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Line ((y @),x0) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width (y @)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width (y @)) -tuples_on REAL
(width (y @)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
Col (y,x0) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len y) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len y) -tuples_on REAL
(len y) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n,(y @),(A @)) * (x0,B) is V90() real ext-real Element of REAL
i4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Col (y,i4) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len y) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len y) -tuples_on REAL
j4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Line (A,j4) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width A) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width A) -tuples_on REAL
|((Col (y,i4)),(Line (A,j4)))| is real set
(n,A,y) * (j4,i4) is V90() real ext-real Element of REAL
((n,A,y) @) * (x0,B) is V90() real ext-real Element of REAL
len ((n,A,y) @) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
0_Rmatrix (n,A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
0. (F_Real,n,A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,A, the U1 of F_Real
MXF2MXR (0. (F_Real,n,A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
- y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
- (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR (- (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(- y) + y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (- y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (- y)) + (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (- y)) + (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len (- (MXR2MXF y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (- (MXR2MXF y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(MXR2MXF y) + (- (MXR2MXF y)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) + (- (MXR2MXF y))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
Det (n,A) is V90() real ext-real Element of the U1 of F_Real
n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of 2,2, REAL
(2,n) is V90() real ext-real Element of REAL
(2,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of 2,2, the U1 of F_Real
Det (2,n) is V90() real ext-real Element of the U1 of F_Real
n * (1,1) is V90() real ext-real Element of REAL
n * (2,2) is V90() real ext-real Element of REAL
(n * (1,1)) * (n * (2,2)) is V90() real ext-real Element of REAL
n * (1,2) is V90() real ext-real Element of REAL
n * (2,1) is V90() real ext-real Element of REAL
(n * (1,2)) * (n * (2,1)) is V90() real ext-real Element of REAL
((n * (1,1)) * (n * (2,2))) - ((n * (1,2)) * (n * (2,1))) is V90() real ext-real Element of REAL
A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of 2,2, the U1 of F_Real
A * (1,1) is V90() real ext-real Element of the U1 of F_Real
A * (2,2) is V90() real ext-real Element of the U1 of F_Real
(A * (1,1)) * (A * (2,2)) is V90() real ext-real Element of the U1 of F_Real
K186((A * (1,1)),(A * (2,2))) is V90() real ext-real Element of REAL
A * (1,2) is V90() real ext-real Element of the U1 of F_Real
A * (2,1) is V90() real ext-real Element of the U1 of F_Real
(A * (1,2)) * (A * (2,1)) is V90() real ext-real Element of the U1 of F_Real
K186((A * (1,2)),(A * (2,1))) is V90() real ext-real Element of REAL
((A * (1,1)) * (A * (2,2))) - ((A * (1,2)) * (A * (2,1))) is V90() real ext-real Element of the U1 of F_Real
- ((A * (1,2)) * (A * (2,1))) is V90() real ext-real Element of the U1 of F_Real
K182(((A * (1,2)) * (A * (2,1)))) is V90() real ext-real Element of REAL
((A * (1,1)) * (A * (2,2))) + (- ((A * (1,2)) * (A * (2,1)))) is V90() real ext-real Element of the U1 of F_Real
K184(((A * (1,1)) * (A * (2,2))),(- ((A * (1,2)) * (A * (2,1))))) is V90() real ext-real Element of REAL
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
len x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
<*A,y,x0*> is V1() V4( NAT ) Function-like non empty V28() V35(3) FinSequence-like FinSubsequence-like V94() set
<*A*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like V94() V96() set
[1,A] is set
{1,A} is non empty V28() V32() set
{1} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{1,A},{1}} is non empty V28() V32() set
{[1,A]} is non empty trivial V28() V35(1) set
<*y*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like V94() V96() set
[1,y] is set
{1,y} is non empty V28() V32() set
{{1,y},{1}} is non empty V28() V32() set
{[1,y]} is non empty trivial V28() V35(1) set
K108(<*A*>,<*y*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(1,1)) FinSequence-like FinSubsequence-like V94() set
K433(1,1) is non empty ordinal natural V28() V33() V90() real V92() V93() ext-real positive non negative V168() V169() V170() V171() V172() V173() Element of NAT
<*x0*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like V94() V96() set
[1,x0] is set
{1,x0} is non empty V28() V32() set
{{1,x0},{1}} is non empty V28() V32() set
{[1,x0]} is non empty trivial V28() V35(1) set
K108(K108(<*A*>,<*y*>),<*x0*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(K433(1,1),1)) FinSequence-like FinSubsequence-like V94() set
K433(K433(1,1),1) is non empty ordinal natural V28() V33() V90() real V92() V93() ext-real positive non negative V168() V169() V170() V171() V172() V173() Element of NAT
i4 is set
rng <*A,y,x0*> is V28() set
{A,y,x0} is V28() set
j4 is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
i is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
len i is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
B is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
B is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is non empty set
n * is functional non empty FinSequence-membered FinSequenceSet of n
A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
len x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
B is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
len B is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
<*y,x0,B*> is V1() V4( NAT ) Function-like non empty V28() V35(3) FinSequence-like FinSubsequence-like V94() set
<*y*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like V94() V96() set
[1,y] is set
{1,y} is non empty V28() V32() set
{1} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{1,y},{1}} is non empty V28() V32() set
{[1,y]} is non empty trivial V28() V35(1) set
<*x0*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like V94() V96() set
[1,x0] is set
{1,x0} is non empty V28() V32() set
{{1,x0},{1}} is non empty V28() V32() set
{[1,x0]} is non empty trivial V28() V35(1) set
K108(<*y*>,<*x0*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(1,1)) FinSequence-like FinSubsequence-like V94() set
K433(1,1) is non empty ordinal natural V28() V33() V90() real V92() V93() ext-real positive non negative V168() V169() V170() V171() V172() V173() Element of NAT
<*B*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like V94() V96() set
[1,B] is set
{1,B} is non empty V28() V32() set
{{1,B},{1}} is non empty V28() V32() set
{[1,B]} is non empty trivial V28() V35(1) set
K108(K108(<*y*>,<*x0*>),<*B*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(K433(1,1),1)) FinSequence-like FinSubsequence-like V94() set
K433(K433(1,1),1) is non empty ordinal natural V28() V33() V90() real V92() V93() ext-real positive non negative V168() V169() V170() V171() V172() V173() Element of NAT
i4 is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like Element of n *
j4 is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like Element of n *
i is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like Element of n *
<*i4,j4,i*> is V1() V4( NAT ) V5(n * ) Function-like non empty V28() V35(3) FinSequence-like FinSubsequence-like V94() FinSequence of n *
<*i4*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like V94() V96() set
[1,i4] is set
{1,i4} is non empty V28() V32() set
{{1,i4},{1}} is non empty V28() V32() set
{[1,i4]} is non empty trivial V28() V35(1) set
<*j4*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like V94() V96() set
[1,j4] is set
{1,j4} is non empty V28() V32() set
{{1,j4},{1}} is non empty V28() V32() set
{[1,j4]} is non empty trivial V28() V35(1) set
K108(<*i4*>,<*j4*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(1,1)) FinSequence-like FinSubsequence-like V94() set
<*i*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like V94() V96() set
[1,i] is set
{1,i} is non empty V28() V32() set
{{1,i},{1}} is non empty V28() V32() set
{[1,i]} is non empty trivial V28() V35(1) set
K108(K108(<*i4*>,<*j4*>),<*i*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(K433(1,1),1)) FinSequence-like FinSubsequence-like V94() set
j is V1() V4( NAT ) V5(n * ) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n *
n2 is V1() V4( NAT ) V5(n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of n *
len n2 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
rng n2 is V28() set
p2 is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
len p2 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
{y,x0,B} is V28() set
n is non empty set
n * is functional non empty FinSequence-membered FinSequenceSet of n
A is Element of n
y is Element of n
x0 is Element of n
<*A,y,x0*> is V1() V4( NAT ) V5(n) Function-like non empty V28() V35(3) FinSequence-like FinSubsequence-like FinSequence of n
<*A*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,A] is set
{1,A} is non empty V28() set
{1} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{1,A},{1}} is non empty V28() V32() set
{[1,A]} is non empty trivial V28() V35(1) set
<*y*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,y] is set
{1,y} is non empty V28() set
{{1,y},{1}} is non empty V28() V32() set
{[1,y]} is non empty trivial V28() V35(1) set
K108(<*A*>,<*y*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(1,1)) FinSequence-like FinSubsequence-like set
K433(1,1) is non empty ordinal natural V28() V33() V90() real V92() V93() ext-real positive non negative V168() V169() V170() V171() V172() V173() Element of NAT
<*x0*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,x0] is set
{1,x0} is non empty V28() set
{{1,x0},{1}} is non empty V28() V32() set
{[1,x0]} is non empty trivial V28() V35(1) set
K108(K108(<*A*>,<*y*>),<*x0*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(K433(1,1),1)) FinSequence-like FinSubsequence-like set
K433(K433(1,1),1) is non empty ordinal natural V28() V33() V90() real V92() V93() ext-real positive non negative V168() V169() V170() V171() V172() V173() Element of NAT
B is Element of n
i4 is Element of n
j4 is Element of n
<*B,i4,j4*> is V1() V4( NAT ) V5(n) Function-like non empty V28() V35(3) FinSequence-like FinSubsequence-like FinSequence of n
<*B*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,B] is set
{1,B} is non empty V28() set
{{1,B},{1}} is non empty V28() V32() set
{[1,B]} is non empty trivial V28() V35(1) set
<*i4*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,i4] is set
{1,i4} is non empty V28() set
{{1,i4},{1}} is non empty V28() V32() set
{[1,i4]} is non empty trivial V28() V35(1) set
K108(<*B*>,<*i4*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(1,1)) FinSequence-like FinSubsequence-like set
<*j4*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,j4] is set
{1,j4} is non empty V28() set
{{1,j4},{1}} is non empty V28() V32() set
{[1,j4]} is non empty trivial V28() V35(1) set
K108(K108(<*B*>,<*i4*>),<*j4*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(K433(1,1),1)) FinSequence-like FinSubsequence-like set
i is Element of n
j is Element of n
n2 is Element of n
<*i,j,n2*> is V1() V4( NAT ) V5(n) Function-like non empty V28() V35(3) FinSequence-like FinSubsequence-like FinSequence of n
<*i*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,i] is set
{1,i} is non empty V28() set
{{1,i},{1}} is non empty V28() V32() set
{[1,i]} is non empty trivial V28() V35(1) set
<*j*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,j] is set
{1,j} is non empty V28() set
{{1,j},{1}} is non empty V28() V32() set
{[1,j]} is non empty trivial V28() V35(1) set
K108(<*i*>,<*j*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(1,1)) FinSequence-like FinSubsequence-like set
<*n2*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,n2] is set
{1,n2} is non empty V28() set
{{1,n2},{1}} is non empty V28() V32() set
{[1,n2]} is non empty trivial V28() V35(1) set
K108(K108(<*i*>,<*j*>),<*n2*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(K433(1,1),1)) FinSequence-like FinSubsequence-like set
<*<*A,y,x0*>,<*B,i4,j4*>,<*i,j,n2*>*> is V1() V4( NAT ) Function-like non empty V28() V35(3) FinSequence-like FinSubsequence-like V94() set
<*<*A,y,x0*>*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like V94() V96() set
[1,<*A,y,x0*>] is set
{1,<*A,y,x0*>} is non empty V28() V32() set
{{1,<*A,y,x0*>},{1}} is non empty V28() V32() set
{[1,<*A,y,x0*>]} is non empty trivial V28() V35(1) set
<*<*B,i4,j4*>*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like V94() V96() set
[1,<*B,i4,j4*>] is set
{1,<*B,i4,j4*>} is non empty V28() V32() set
{{1,<*B,i4,j4*>},{1}} is non empty V28() V32() set
{[1,<*B,i4,j4*>]} is non empty trivial V28() V35(1) set
K108(<*<*A,y,x0*>*>,<*<*B,i4,j4*>*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(1,1)) FinSequence-like FinSubsequence-like V94() set
<*<*i,j,n2*>*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like V94() V96() set
[1,<*i,j,n2*>] is set
{1,<*i,j,n2*>} is non empty V28() V32() set
{{1,<*i,j,n2*>},{1}} is non empty V28() V32() set
{[1,<*i,j,n2*>]} is non empty trivial V28() V35(1) set
K108(K108(<*<*A,y,x0*>*>,<*<*B,i4,j4*>*>),<*<*i,j,n2*>*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(K433(1,1),1)) FinSequence-like FinSubsequence-like V94() set
len <*i,j,n2*> is non empty ordinal natural V28() V33() V90() real V92() V93() ext-real positive non negative V168() V169() V170() V171() V172() V173() Element of NAT
len <*A,y,x0*> is non empty ordinal natural V28() V33() V90() real V92() V93() ext-real positive non negative V168() V169() V170() V171() V172() V173() Element of NAT
len <*B,i4,j4*> is non empty ordinal natural V28() V33() V90() real V92() V93() ext-real positive non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is non empty set
n * is functional non empty FinSequence-membered FinSequenceSet of n
A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg A is V28() V35(A) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= A ) } is set
y is V1() V4( NAT ) V5(n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of A,A,n
x0 is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
len x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
B is ordinal natural V28() V33() ext-real non negative set
y . B is FinSequence-like set
rng y is V28() set
i4 is ordinal natural V28() V33() ext-real non negative set
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
dom y is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
j4 is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
len j4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is non empty set
n * is functional non empty FinSequence-membered FinSequenceSet of n
A is V1() V4( NAT ) V5(n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of 3,3,n
A * (1,1) is Element of n
A * (1,2) is Element of n
A * (1,3) is Element of n
<*(A * (1,1)),(A * (1,2)),(A * (1,3))*> is V1() V4( NAT ) V5(n) Function-like non empty V28() V35(3) FinSequence-like FinSubsequence-like FinSequence of n
<*(A * (1,1))*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A * (1,1))] is set
{1,(A * (1,1))} is non empty V28() set
{1} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{1,(A * (1,1))},{1}} is non empty V28() V32() set
{[1,(A * (1,1))]} is non empty trivial V28() V35(1) set
<*(A * (1,2))*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A * (1,2))] is set
{1,(A * (1,2))} is non empty V28() set
{{1,(A * (1,2))},{1}} is non empty V28() V32() set
{[1,(A * (1,2))]} is non empty trivial V28() V35(1) set
K108(<*(A * (1,1))*>,<*(A * (1,2))*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(1,1)) FinSequence-like FinSubsequence-like set
K433(1,1) is non empty ordinal natural V28() V33() V90() real V92() V93() ext-real positive non negative V168() V169() V170() V171() V172() V173() Element of NAT
<*(A * (1,3))*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A * (1,3))] is set
{1,(A * (1,3))} is non empty V28() set
{{1,(A * (1,3))},{1}} is non empty V28() V32() set
{[1,(A * (1,3))]} is non empty trivial V28() V35(1) set
K108(K108(<*(A * (1,1))*>,<*(A * (1,2))*>),<*(A * (1,3))*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(K433(1,1),1)) FinSequence-like FinSubsequence-like set
K433(K433(1,1),1) is non empty ordinal natural V28() V33() V90() real V92() V93() ext-real positive non negative V168() V169() V170() V171() V172() V173() Element of NAT
A * (2,1) is Element of n
A * (2,2) is Element of n
A * (2,3) is Element of n
<*(A * (2,1)),(A * (2,2)),(A * (2,3))*> is V1() V4( NAT ) V5(n) Function-like non empty V28() V35(3) FinSequence-like FinSubsequence-like FinSequence of n
<*(A * (2,1))*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A * (2,1))] is set
{1,(A * (2,1))} is non empty V28() set
{{1,(A * (2,1))},{1}} is non empty V28() V32() set
{[1,(A * (2,1))]} is non empty trivial V28() V35(1) set
<*(A * (2,2))*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A * (2,2))] is set
{1,(A * (2,2))} is non empty V28() set
{{1,(A * (2,2))},{1}} is non empty V28() V32() set
{[1,(A * (2,2))]} is non empty trivial V28() V35(1) set
K108(<*(A * (2,1))*>,<*(A * (2,2))*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(1,1)) FinSequence-like FinSubsequence-like set
<*(A * (2,3))*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A * (2,3))] is set
{1,(A * (2,3))} is non empty V28() set
{{1,(A * (2,3))},{1}} is non empty V28() V32() set
{[1,(A * (2,3))]} is non empty trivial V28() V35(1) set
K108(K108(<*(A * (2,1))*>,<*(A * (2,2))*>),<*(A * (2,3))*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(K433(1,1),1)) FinSequence-like FinSubsequence-like set
A * (3,1) is Element of n
A * (3,2) is Element of n
A * (3,3) is Element of n
<*(A * (3,1)),(A * (3,2)),(A * (3,3))*> is V1() V4( NAT ) V5(n) Function-like non empty V28() V35(3) FinSequence-like FinSubsequence-like FinSequence of n
<*(A * (3,1))*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A * (3,1))] is set
{1,(A * (3,1))} is non empty V28() set
{{1,(A * (3,1))},{1}} is non empty V28() V32() set
{[1,(A * (3,1))]} is non empty trivial V28() V35(1) set
<*(A * (3,2))*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A * (3,2))] is set
{1,(A * (3,2))} is non empty V28() set
{{1,(A * (3,2))},{1}} is non empty V28() V32() set
{[1,(A * (3,2))]} is non empty trivial V28() V35(1) set
K108(<*(A * (3,1))*>,<*(A * (3,2))*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(1,1)) FinSequence-like FinSubsequence-like set
<*(A * (3,3))*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A * (3,3))] is set
{1,(A * (3,3))} is non empty V28() set
{{1,(A * (3,3))},{1}} is non empty V28() V32() set
{[1,(A * (3,3))]} is non empty trivial V28() V35(1) set
K108(K108(<*(A * (3,1))*>,<*(A * (3,2))*>),<*(A * (3,3))*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(K433(1,1),1)) FinSequence-like FinSubsequence-like set
<*<*(A * (1,1)),(A * (1,2)),(A * (1,3))*>,<*(A * (2,1)),(A * (2,2)),(A * (2,3))*>,<*(A * (3,1)),(A * (3,2)),(A * (3,3))*>*> is V1() V4( NAT ) Function-like non empty V28() V35(3) FinSequence-like FinSubsequence-like V94() set
<*<*(A * (1,1)),(A * (1,2)),(A * (1,3))*>*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like V94() V96() set
[1,<*(A * (1,1)),(A * (1,2)),(A * (1,3))*>] is set
{1,<*(A * (1,1)),(A * (1,2)),(A * (1,3))*>} is non empty V28() V32() set
{{1,<*(A * (1,1)),(A * (1,2)),(A * (1,3))*>},{1}} is non empty V28() V32() set
{[1,<*(A * (1,1)),(A * (1,2)),(A * (1,3))*>]} is non empty trivial V28() V35(1) set
<*<*(A * (2,1)),(A * (2,2)),(A * (2,3))*>*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like V94() V96() set
[1,<*(A * (2,1)),(A * (2,2)),(A * (2,3))*>] is set
{1,<*(A * (2,1)),(A * (2,2)),(A * (2,3))*>} is non empty V28() V32() set
{{1,<*(A * (2,1)),(A * (2,2)),(A * (2,3))*>},{1}} is non empty V28() V32() set
{[1,<*(A * (2,1)),(A * (2,2)),(A * (2,3))*>]} is non empty trivial V28() V35(1) set
K108(<*<*(A * (1,1)),(A * (1,2)),(A * (1,3))*>*>,<*<*(A * (2,1)),(A * (2,2)),(A * (2,3))*>*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(1,1)) FinSequence-like FinSubsequence-like V94() set
<*<*(A * (3,1)),(A * (3,2)),(A * (3,3))*>*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like V94() V96() set
[1,<*(A * (3,1)),(A * (3,2)),(A * (3,3))*>] is set
{1,<*(A * (3,1)),(A * (3,2)),(A * (3,3))*>} is non empty V28() V32() set
{{1,<*(A * (3,1)),(A * (3,2)),(A * (3,3))*>},{1}} is non empty V28() V32() set
{[1,<*(A * (3,1)),(A * (3,2)),(A * (3,3))*>]} is non empty trivial V28() V35(1) set
K108(K108(<*<*(A * (1,1)),(A * (1,2)),(A * (1,3))*>*>,<*<*(A * (2,1)),(A * (2,2)),(A * (2,3))*>*>),<*<*(A * (3,1)),(A * (3,2)),(A * (3,3))*>*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(K433(1,1),1)) FinSequence-like FinSubsequence-like V94() set
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Indices A is set
dom A is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width A) is V28() V35( width A) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width A ) } is set
[:(dom A),(Seg (width A)):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
y is V1() V4( NAT ) V5(n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of 3,3,n
x0 is ordinal natural V28() V33() ext-real non negative set
B is ordinal natural V28() V33() ext-real non negative set
[x0,B] is set
{x0,B} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{x0} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{x0,B},{x0}} is non empty V28() V32() set
A * (x0,B) is Element of n
y * (x0,B) is Element of n
Indices y is set
dom y is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width y) is V28() V35( width y) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width y ) } is set
[:(dom y),(Seg (width y)):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
[:(Seg 3),(Seg 3):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
[x0,2] is set
{x0,2} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{{x0,2},{x0}} is non empty V28() V32() set
[x0,1] is set
{x0,1} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{{x0,1},{x0}} is non empty V28() V32() set
[x0,3] is set
{x0,3} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{{x0,3},{x0}} is non empty V28() V32() set
i4 is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
len i4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A . x0 is FinSequence-like set
A * (x0,3) is Element of n
A * (x0,1) is Element of n
j4 is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
j4 . 1 is set
A * (x0,2) is Element of n
i is ordinal natural V28() V33() ext-real non negative set
i4 . i is set
j4 . i is set
j is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
j . 2 is set
j is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
j . 3 is set
y . x0 is FinSequence-like set
i4 . B is set
i is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
i . B is set
len j4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
i4 is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
len i4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A . x0 is FinSequence-like set
A * (x0,3) is Element of n
A * (x0,1) is Element of n
j4 is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
j4 . 1 is set
A * (x0,2) is Element of n
i is ordinal natural V28() V33() ext-real non negative set
i4 . i is set
j4 . i is set
j is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
j . 2 is set
j is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
j . 3 is set
y . x0 is FinSequence-like set
i4 . B is set
i is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
i . B is set
len j4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
i4 is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
len i4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A . x0 is FinSequence-like set
A * (x0,3) is Element of n
A * (x0,1) is Element of n
j4 is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
j4 . 1 is set
A * (x0,2) is Element of n
i is ordinal natural V28() V33() ext-real non negative set
i4 . i is set
j4 . i is set
j is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
j . 2 is set
j is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
j . 3 is set
y . x0 is FinSequence-like set
i4 . B is set
i is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
i . B is set
len j4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A . x0 is FinSequence-like set
A . x0 is FinSequence-like set
i4 is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
i4 . B is set
j4 is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
j4 . B is set
i is V1() V4( NAT ) V5(n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of n
i . B is set
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of 3,3, REAL
(3,n) is V90() real ext-real Element of REAL
(3,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of 3,3, the U1 of F_Real
Det (3,n) is V90() real ext-real Element of the U1 of F_Real
n * (1,1) is V90() real ext-real Element of REAL
n * (2,2) is V90() real ext-real Element of REAL
(n * (1,1)) * (n * (2,2)) is V90() real ext-real Element of REAL
n * (3,3) is V90() real ext-real Element of REAL
((n * (1,1)) * (n * (2,2))) * (n * (3,3)) is V90() real ext-real Element of REAL
n * (1,3) is V90() real ext-real Element of REAL
(n * (1,3)) * (n * (2,2)) is V90() real ext-real Element of REAL
n * (3,1) is V90() real ext-real Element of REAL
((n * (1,3)) * (n * (2,2))) * (n * (3,1)) is V90() real ext-real Element of REAL
(((n * (1,1)) * (n * (2,2))) * (n * (3,3))) - (((n * (1,3)) * (n * (2,2))) * (n * (3,1))) is V90() real ext-real Element of REAL
n * (2,3) is V90() real ext-real Element of REAL
(n * (1,1)) * (n * (2,3)) is V90() real ext-real Element of REAL
n * (3,2) is V90() real ext-real Element of REAL
((n * (1,1)) * (n * (2,3))) * (n * (3,2)) is V90() real ext-real Element of REAL
((((n * (1,1)) * (n * (2,2))) * (n * (3,3))) - (((n * (1,3)) * (n * (2,2))) * (n * (3,1)))) - (((n * (1,1)) * (n * (2,3))) * (n * (3,2))) is V90() real ext-real Element of REAL
n * (1,2) is V90() real ext-real Element of REAL
(n * (1,2)) * (n * (2,3)) is V90() real ext-real Element of REAL
((n * (1,2)) * (n * (2,3))) * (n * (3,1)) is V90() real ext-real Element of REAL
(((((n * (1,1)) * (n * (2,2))) * (n * (3,3))) - (((n * (1,3)) * (n * (2,2))) * (n * (3,1)))) - (((n * (1,1)) * (n * (2,3))) * (n * (3,2)))) + (((n * (1,2)) * (n * (2,3))) * (n * (3,1))) is V90() real ext-real Element of REAL
n * (2,1) is V90() real ext-real Element of REAL
(n * (1,2)) * (n * (2,1)) is V90() real ext-real Element of REAL
((n * (1,2)) * (n * (2,1))) * (n * (3,3)) is V90() real ext-real Element of REAL
((((((n * (1,1)) * (n * (2,2))) * (n * (3,3))) - (((n * (1,3)) * (n * (2,2))) * (n * (3,1)))) - (((n * (1,1)) * (n * (2,3))) * (n * (3,2)))) + (((n * (1,2)) * (n * (2,3))) * (n * (3,1)))) - (((n * (1,2)) * (n * (2,1))) * (n * (3,3))) is V90() real ext-real Element of REAL
(n * (1,3)) * (n * (2,1)) is V90() real ext-real Element of REAL
((n * (1,3)) * (n * (2,1))) * (n * (3,2)) is V90() real ext-real Element of REAL
(((((((n * (1,1)) * (n * (2,2))) * (n * (3,3))) - (((n * (1,3)) * (n * (2,2))) * (n * (3,1)))) - (((n * (1,1)) * (n * (2,3))) * (n * (3,2)))) + (((n * (1,2)) * (n * (2,3))) * (n * (3,1)))) - (((n * (1,2)) * (n * (2,1))) * (n * (3,3)))) + (((n * (1,3)) * (n * (2,1))) * (n * (3,2))) is V90() real ext-real Element of REAL
A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of 3,3, the U1 of F_Real
A * (1,1) is V90() real ext-real Element of the U1 of F_Real
A * (1,2) is V90() real ext-real Element of the U1 of F_Real
A * (1,3) is V90() real ext-real Element of the U1 of F_Real
<*(A * (1,1)),(A * (1,2)),(A * (1,3))*> is V1() V4( NAT ) V5( the U1 of F_Real) Function-like non empty V28() V35(3) FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of the U1 of F_Real
<*(A * (1,1))*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A * (1,1))] is set
{1,(A * (1,1))} is non empty V28() V168() V169() V170() set
{1} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{1,(A * (1,1))},{1}} is non empty V28() V32() set
{[1,(A * (1,1))]} is non empty trivial V28() V35(1) set
<*(A * (1,2))*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A * (1,2))] is set
{1,(A * (1,2))} is non empty V28() V168() V169() V170() set
{{1,(A * (1,2))},{1}} is non empty V28() V32() set
{[1,(A * (1,2))]} is non empty trivial V28() V35(1) set
K108(<*(A * (1,1))*>,<*(A * (1,2))*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(1,1)) FinSequence-like FinSubsequence-like set
K433(1,1) is non empty ordinal natural V28() V33() V90() real V92() V93() ext-real positive non negative V168() V169() V170() V171() V172() V173() Element of NAT
<*(A * (1,3))*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A * (1,3))] is set
{1,(A * (1,3))} is non empty V28() V168() V169() V170() set
{{1,(A * (1,3))},{1}} is non empty V28() V32() set
{[1,(A * (1,3))]} is non empty trivial V28() V35(1) set
K108(K108(<*(A * (1,1))*>,<*(A * (1,2))*>),<*(A * (1,3))*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(K433(1,1),1)) FinSequence-like FinSubsequence-like set
K433(K433(1,1),1) is non empty ordinal natural V28() V33() V90() real V92() V93() ext-real positive non negative V168() V169() V170() V171() V172() V173() Element of NAT
A * (2,1) is V90() real ext-real Element of the U1 of F_Real
A * (2,2) is V90() real ext-real Element of the U1 of F_Real
A * (2,3) is V90() real ext-real Element of the U1 of F_Real
<*(A * (2,1)),(A * (2,2)),(A * (2,3))*> is V1() V4( NAT ) V5( the U1 of F_Real) Function-like non empty V28() V35(3) FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of the U1 of F_Real
<*(A * (2,1))*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A * (2,1))] is set
{1,(A * (2,1))} is non empty V28() V168() V169() V170() set
{{1,(A * (2,1))},{1}} is non empty V28() V32() set
{[1,(A * (2,1))]} is non empty trivial V28() V35(1) set
<*(A * (2,2))*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A * (2,2))] is set
{1,(A * (2,2))} is non empty V28() V168() V169() V170() set
{{1,(A * (2,2))},{1}} is non empty V28() V32() set
{[1,(A * (2,2))]} is non empty trivial V28() V35(1) set
K108(<*(A * (2,1))*>,<*(A * (2,2))*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(1,1)) FinSequence-like FinSubsequence-like set
<*(A * (2,3))*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A * (2,3))] is set
{1,(A * (2,3))} is non empty V28() V168() V169() V170() set
{{1,(A * (2,3))},{1}} is non empty V28() V32() set
{[1,(A * (2,3))]} is non empty trivial V28() V35(1) set
K108(K108(<*(A * (2,1))*>,<*(A * (2,2))*>),<*(A * (2,3))*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(K433(1,1),1)) FinSequence-like FinSubsequence-like set
A * (3,1) is V90() real ext-real Element of the U1 of F_Real
A * (3,2) is V90() real ext-real Element of the U1 of F_Real
A * (3,3) is V90() real ext-real Element of the U1 of F_Real
<*(A * (3,1)),(A * (3,2)),(A * (3,3))*> is V1() V4( NAT ) V5( the U1 of F_Real) Function-like non empty V28() V35(3) FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of the U1 of F_Real
<*(A * (3,1))*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A * (3,1))] is set
{1,(A * (3,1))} is non empty V28() V168() V169() V170() set
{{1,(A * (3,1))},{1}} is non empty V28() V32() set
{[1,(A * (3,1))]} is non empty trivial V28() V35(1) set
<*(A * (3,2))*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A * (3,2))] is set
{1,(A * (3,2))} is non empty V28() V168() V169() V170() set
{{1,(A * (3,2))},{1}} is non empty V28() V32() set
{[1,(A * (3,2))]} is non empty trivial V28() V35(1) set
K108(<*(A * (3,1))*>,<*(A * (3,2))*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(1,1)) FinSequence-like FinSubsequence-like set
<*(A * (3,3))*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A * (3,3))] is set
{1,(A * (3,3))} is non empty V28() V168() V169() V170() set
{{1,(A * (3,3))},{1}} is non empty V28() V32() set
{[1,(A * (3,3))]} is non empty trivial V28() V35(1) set
K108(K108(<*(A * (3,1))*>,<*(A * (3,2))*>),<*(A * (3,3))*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(K433(1,1),1)) FinSequence-like FinSubsequence-like set
<*<*(A * (1,1)),(A * (1,2)),(A * (1,3))*>,<*(A * (2,1)),(A * (2,2)),(A * (2,3))*>,<*(A * (3,1)),(A * (3,2)),(A * (3,3))*>*> is V1() V4( NAT ) Function-like non empty V28() V35(3) FinSequence-like FinSubsequence-like V94() set
<*<*(A * (1,1)),(A * (1,2)),(A * (1,3))*>*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like V94() V96() set
[1,<*(A * (1,1)),(A * (1,2)),(A * (1,3))*>] is set
{1,<*(A * (1,1)),(A * (1,2)),(A * (1,3))*>} is non empty V28() V32() set
{{1,<*(A * (1,1)),(A * (1,2)),(A * (1,3))*>},{1}} is non empty V28() V32() set
{[1,<*(A * (1,1)),(A * (1,2)),(A * (1,3))*>]} is non empty trivial V28() V35(1) set
<*<*(A * (2,1)),(A * (2,2)),(A * (2,3))*>*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like V94() V96() set
[1,<*(A * (2,1)),(A * (2,2)),(A * (2,3))*>] is set
{1,<*(A * (2,1)),(A * (2,2)),(A * (2,3))*>} is non empty V28() V32() set
{{1,<*(A * (2,1)),(A * (2,2)),(A * (2,3))*>},{1}} is non empty V28() V32() set
{[1,<*(A * (2,1)),(A * (2,2)),(A * (2,3))*>]} is non empty trivial V28() V35(1) set
K108(<*<*(A * (1,1)),(A * (1,2)),(A * (1,3))*>*>,<*<*(A * (2,1)),(A * (2,2)),(A * (2,3))*>*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(1,1)) FinSequence-like FinSubsequence-like V94() set
<*<*(A * (3,1)),(A * (3,2)),(A * (3,3))*>*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like V94() V96() set
[1,<*(A * (3,1)),(A * (3,2)),(A * (3,3))*>] is set
{1,<*(A * (3,1)),(A * (3,2)),(A * (3,3))*>} is non empty V28() V32() set
{{1,<*(A * (3,1)),(A * (3,2)),(A * (3,3))*>},{1}} is non empty V28() V32() set
{[1,<*(A * (3,1)),(A * (3,2)),(A * (3,3))*>]} is non empty trivial V28() V35(1) set
K108(K108(<*<*(A * (1,1)),(A * (1,2)),(A * (1,3))*>*>,<*<*(A * (2,1)),(A * (2,2)),(A * (2,3))*>*>),<*<*(A * (3,1)),(A * (3,2)),(A * (3,3))*>*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(K433(1,1),1)) FinSequence-like FinSubsequence-like V94() set
y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of 3,3, the U1 of F_Real
Det y is V90() real ext-real Element of the U1 of F_Real
(A * (1,1)) * (A * (2,2)) is V90() real ext-real Element of the U1 of F_Real
K186((A * (1,1)),(A * (2,2))) is V90() real ext-real Element of REAL
((A * (1,1)) * (A * (2,2))) * (A * (3,3)) is V90() real ext-real Element of the U1 of F_Real
K186(((A * (1,1)) * (A * (2,2))),(A * (3,3))) is V90() real ext-real Element of REAL
(A * (1,3)) * (A * (2,2)) is V90() real ext-real Element of the U1 of F_Real
K186((A * (1,3)),(A * (2,2))) is V90() real ext-real Element of REAL
((A * (1,3)) * (A * (2,2))) * (A * (3,1)) is V90() real ext-real Element of the U1 of F_Real
K186(((A * (1,3)) * (A * (2,2))),(A * (3,1))) is V90() real ext-real Element of REAL
(((A * (1,1)) * (A * (2,2))) * (A * (3,3))) - (((A * (1,3)) * (A * (2,2))) * (A * (3,1))) is V90() real ext-real Element of the U1 of F_Real
- (((A * (1,3)) * (A * (2,2))) * (A * (3,1))) is V90() real ext-real Element of the U1 of F_Real
K182((((A * (1,3)) * (A * (2,2))) * (A * (3,1)))) is V90() real ext-real Element of REAL
(((A * (1,1)) * (A * (2,2))) * (A * (3,3))) + (- (((A * (1,3)) * (A * (2,2))) * (A * (3,1)))) is V90() real ext-real Element of the U1 of F_Real
K184((((A * (1,1)) * (A * (2,2))) * (A * (3,3))),(- (((A * (1,3)) * (A * (2,2))) * (A * (3,1))))) is V90() real ext-real Element of REAL
(A * (1,1)) * (A * (2,3)) is V90() real ext-real Element of the U1 of F_Real
K186((A * (1,1)),(A * (2,3))) is V90() real ext-real Element of REAL
((A * (1,1)) * (A * (2,3))) * (A * (3,2)) is V90() real ext-real Element of the U1 of F_Real
K186(((A * (1,1)) * (A * (2,3))),(A * (3,2))) is V90() real ext-real Element of REAL
((((A * (1,1)) * (A * (2,2))) * (A * (3,3))) - (((A * (1,3)) * (A * (2,2))) * (A * (3,1)))) - (((A * (1,1)) * (A * (2,3))) * (A * (3,2))) is V90() real ext-real Element of the U1 of F_Real
- (((A * (1,1)) * (A * (2,3))) * (A * (3,2))) is V90() real ext-real Element of the U1 of F_Real
K182((((A * (1,1)) * (A * (2,3))) * (A * (3,2)))) is V90() real ext-real Element of REAL
((((A * (1,1)) * (A * (2,2))) * (A * (3,3))) - (((A * (1,3)) * (A * (2,2))) * (A * (3,1)))) + (- (((A * (1,1)) * (A * (2,3))) * (A * (3,2)))) is V90() real ext-real Element of the U1 of F_Real
K184(((((A * (1,1)) * (A * (2,2))) * (A * (3,3))) - (((A * (1,3)) * (A * (2,2))) * (A * (3,1)))),(- (((A * (1,1)) * (A * (2,3))) * (A * (3,2))))) is V90() real ext-real Element of REAL
(A * (1,2)) * (A * (2,3)) is V90() real ext-real Element of the U1 of F_Real
K186((A * (1,2)),(A * (2,3))) is V90() real ext-real Element of REAL
((A * (1,2)) * (A * (2,3))) * (A * (3,1)) is V90() real ext-real Element of the U1 of F_Real
K186(((A * (1,2)) * (A * (2,3))),(A * (3,1))) is V90() real ext-real Element of REAL
(((((A * (1,1)) * (A * (2,2))) * (A * (3,3))) - (((A * (1,3)) * (A * (2,2))) * (A * (3,1)))) - (((A * (1,1)) * (A * (2,3))) * (A * (3,2)))) + (((A * (1,2)) * (A * (2,3))) * (A * (3,1))) is V90() real ext-real Element of the U1 of F_Real
K184((((((A * (1,1)) * (A * (2,2))) * (A * (3,3))) - (((A * (1,3)) * (A * (2,2))) * (A * (3,1)))) - (((A * (1,1)) * (A * (2,3))) * (A * (3,2)))),(((A * (1,2)) * (A * (2,3))) * (A * (3,1)))) is V90() real ext-real Element of REAL
(A * (1,2)) * (A * (2,1)) is V90() real ext-real Element of the U1 of F_Real
K186((A * (1,2)),(A * (2,1))) is V90() real ext-real Element of REAL
((A * (1,2)) * (A * (2,1))) * (A * (3,3)) is V90() real ext-real Element of the U1 of F_Real
K186(((A * (1,2)) * (A * (2,1))),(A * (3,3))) is V90() real ext-real Element of REAL
((((((A * (1,1)) * (A * (2,2))) * (A * (3,3))) - (((A * (1,3)) * (A * (2,2))) * (A * (3,1)))) - (((A * (1,1)) * (A * (2,3))) * (A * (3,2)))) + (((A * (1,2)) * (A * (2,3))) * (A * (3,1)))) - (((A * (1,2)) * (A * (2,1))) * (A * (3,3))) is V90() real ext-real Element of the U1 of F_Real
- (((A * (1,2)) * (A * (2,1))) * (A * (3,3))) is V90() real ext-real Element of the U1 of F_Real
K182((((A * (1,2)) * (A * (2,1))) * (A * (3,3)))) is V90() real ext-real Element of REAL
((((((A * (1,1)) * (A * (2,2))) * (A * (3,3))) - (((A * (1,3)) * (A * (2,2))) * (A * (3,1)))) - (((A * (1,1)) * (A * (2,3))) * (A * (3,2)))) + (((A * (1,2)) * (A * (2,3))) * (A * (3,1)))) + (- (((A * (1,2)) * (A * (2,1))) * (A * (3,3)))) is V90() real ext-real Element of the U1 of F_Real
K184(((((((A * (1,1)) * (A * (2,2))) * (A * (3,3))) - (((A * (1,3)) * (A * (2,2))) * (A * (3,1)))) - (((A * (1,1)) * (A * (2,3))) * (A * (3,2)))) + (((A * (1,2)) * (A * (2,3))) * (A * (3,1)))),(- (((A * (1,2)) * (A * (2,1))) * (A * (3,3))))) is V90() real ext-real Element of REAL
(A * (1,3)) * (A * (2,1)) is V90() real ext-real Element of the U1 of F_Real
K186((A * (1,3)),(A * (2,1))) is V90() real ext-real Element of REAL
((A * (1,3)) * (A * (2,1))) * (A * (3,2)) is V90() real ext-real Element of the U1 of F_Real
K186(((A * (1,3)) * (A * (2,1))),(A * (3,2))) is V90() real ext-real Element of REAL
(((((((A * (1,1)) * (A * (2,2))) * (A * (3,3))) - (((A * (1,3)) * (A * (2,2))) * (A * (3,1)))) - (((A * (1,1)) * (A * (2,3))) * (A * (3,2)))) + (((A * (1,2)) * (A * (2,3))) * (A * (3,1)))) - (((A * (1,2)) * (A * (2,1))) * (A * (3,3)))) + (((A * (1,3)) * (A * (2,1))) * (A * (3,2))) is V90() real ext-real Element of the U1 of F_Real
K184((((((((A * (1,1)) * (A * (2,2))) * (A * (3,3))) - (((A * (1,3)) * (A * (2,2))) * (A * (3,1)))) - (((A * (1,1)) * (A * (2,3))) * (A * (3,2)))) + (((A * (1,2)) * (A * (2,3))) * (A * (3,1)))) - (((A * (1,2)) * (A * (2,1))) * (A * (3,3)))),(((A * (1,3)) * (A * (2,1))) * (A * (3,2)))) is V90() real ext-real Element of REAL
Seg 0 is functional empty ordinal natural V28() V32() V33() V35( 0 ) V35( {} ) FinSequence-membered ext-real non positive non negative V168() V169() V170() V171() V172() V173() V174() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= 0 ) } is set
[:(Seg 0),(Seg 0):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
bool [:(Seg 0),(Seg 0):] is V28() V32() set
<*> NAT is V1() V4( NAT ) V5( NAT ) Function-like functional empty ordinal natural V28() V29() V32() V33() V35( {} ) FinSequence-like FinSubsequence-like FinSequence-membered V94() V96() ext-real non positive non negative complex-yielding V159() V160() V161() V168() V169() V170() V171() V172() V173() V174() FinSequence of NAT
n is V1() V4( Seg 0) V5( Seg 0) Function-like functional empty quasi_total bijective ordinal natural V28() V29() V32() V33() V35( {} ) FinSequence-like FinSubsequence-like FinSequence-membered V94() V96() ext-real non positive non negative complex-yielding V159() V160() V161() V168() V169() V170() V171() V172() V173() V174() Element of bool [:(Seg 0),(Seg 0):]
idseq 0 is V1() V4( NAT ) V5( RAT ) Function-like functional empty ordinal natural V28() V29() V32() V33() V35( 0 ) FinSequence-like FinSubsequence-like FinSequence-membered V94() V96() ext-real non positive non negative complex-yielding V159() V160() V161() V168() V169() V170() V171() V172() V173() V174() set
Permutations 0 is non empty permutational set
{(<*> NAT)} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
n is set
A is V1() V4( Seg 0) V5( Seg 0) Function-like functional empty quasi_total bijective ordinal natural V28() V29() V32() V33() V35( {} ) FinSequence-like FinSubsequence-like FinSequence-membered V94() V96() ext-real non positive non negative complex-yielding V159() V160() V161() V168() V169() V170() V171() V172() V173() V174() Element of bool [:(Seg 0),(Seg 0):]
n is set
n is non empty V44() non trivial right_complementable almost_left_invertible unital associative commutative V122() V123() V124() right-distributive left-distributive right_unital well-unital V136() left_unital doubleLoopStr
the U1 of n is non empty non trivial set
the U1 of n * is functional non empty FinSequence-membered FinSequenceSet of the U1 of n
1. n is V47(n) Element of the U1 of n
the U3 of n is Element of the U1 of n
len (Permutations 0) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (len (Permutations 0)) is V28() V35( len (Permutations 0)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len (Permutations 0) ) } is set
y is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of 0 , 0 , the U1 of n
Det y is Element of the U1 of n
Path_product y is V1() V4( Permutations 0) V5( the U1 of n) Function-like quasi_total Element of bool [:(Permutations 0), the U1 of n:]
[:(Permutations 0), the U1 of n:] is set
bool [:(Permutations 0), the U1 of n:] is set
(Path_product y) . (idseq 0) is set
1_ n is Element of the U1 of n
x0 is V1() V4( Seg (len (Permutations 0))) V5( INT ) V5( Seg (len (Permutations 0))) Function-like quasi_total bijective V28() complex-yielding V159() V160() V161() Element of Permutations 0
- ((1_ n),x0) is Element of the U1 of n
id (Seg 0) is V1() V4( Seg 0) V5( INT ) V5( RAT ) V5( Seg 0) functional empty total ordinal natural V28() V29() V32() V33() V35( {} ) FinSequence-like FinSequence-membered ext-real non positive non negative complex-yielding V159() V160() V161() V168() V169() V170() V171() V172() V173() V174() Element of bool [:(Seg 0),(Seg 0):]
B is V1() V4( Seg (len (Permutations 0))) V5( INT ) V5( Seg (len (Permutations 0))) Function-like quasi_total bijective V28() complex-yielding V159() V160() V161() Element of Permutations 0
the multF of n is V1() V4([: the U1 of n, the U1 of n:]) V5( the U1 of n) Function-like quasi_total commutative Element of bool [:[: the U1 of n, the U1 of n:], the U1 of n:]
[: the U1 of n, the U1 of n:] is set
[:[: the U1 of n, the U1 of n:], the U1 of n:] is set
bool [:[: the U1 of n, the U1 of n:], the U1 of n:] is set
Path_matrix (x0,y) is V1() V4( NAT ) V5( the U1 of n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of the U1 of n
len (Path_matrix (x0,y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
the multF of n $$ (Path_matrix (x0,y)) is Element of the U1 of n
the_unity_wrt the multF of n is Element of the U1 of n
FinOmega (Permutations 0) is Element of K271((Permutations 0))
K271((Permutations 0)) is V100() set
A is V1() V4( Seg (len (Permutations 0))) V5( INT ) V5( Seg (len (Permutations 0))) Function-like quasi_total bijective V28() complex-yielding V159() V160() V161() Element of Permutations 0
{.A.} is non empty trivial V28() V32() V35(1) Element of K271((Permutations 0))
the addF of n is V1() V4([: the U1 of n, the U1 of n:]) V5( the U1 of n) Function-like quasi_total commutative associative Element of bool [:[: the U1 of n, the U1 of n:], the U1 of n:]
[: the U1 of n, the U1 of n:] is set
[:[: the U1 of n, the U1 of n:], the U1 of n:] is set
bool [:[: the U1 of n, the U1 of n:], the U1 of n:] is set
the addF of n $$ ((FinOmega (Permutations 0)),(Path_product y)) is Element of the U1 of n
n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of 0 , 0 , REAL
(0,n) is V90() real ext-real Element of REAL
(0,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of 0 , 0 , the U1 of F_Real
Det (0,n) is V90() real ext-real Element of the U1 of F_Real
1. F_Real is V47( F_Real ) V90() real ext-real Element of the U1 of F_Real
the U3 of F_Real is V90() real ext-real Element of the U1 of F_Real
n is non empty V44() non trivial right_complementable almost_left_invertible unital associative commutative V122() V123() V124() right-distributive left-distributive right_unital well-unital V136() left_unital doubleLoopStr
the U1 of n is non empty non trivial set
the U1 of n * is functional non empty FinSequence-membered FinSequenceSet of the U1 of n
A is ordinal natural V28() V33() ext-real non negative set
y is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of A,A, the U1 of n
Det y is Element of the U1 of n
y @ is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of A,A, the U1 of n
Det (y @) is Element of the U1 of n
1_ n is Element of the U1 of n
1. n is V47(n) Element of the U1 of n
the U3 of n is Element of the U1 of n
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,A) is V90() real ext-real Element of REAL
(n,A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
Det (n,A) is V90() real ext-real Element of the U1 of F_Real
A @ is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,(A @)) is V90() real ext-real Element of REAL
(n,(A @)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
Det (n,(A @)) is V90() real ext-real Element of the U1 of F_Real
y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
y @ is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (y @) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
B is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,B) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is non empty V44() non trivial right_complementable almost_left_invertible unital associative commutative V122() V123() V124() right-distributive left-distributive right_unital well-unital V136() left_unital doubleLoopStr
the U1 of A is non empty non trivial set
the U1 of A * is functional non empty FinSequence-membered FinSequenceSet of the U1 of A
y is V1() V4( NAT ) V5( the U1 of A * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of A
x0 is V1() V4( NAT ) V5( the U1 of A * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of A
y * x0 is V1() V4( NAT ) V5( the U1 of A * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of A
Det (y * x0) is Element of the U1 of A
Det y is Element of the U1 of A
Det x0 is Element of the U1 of A
(Det y) * (Det x0) is Element of the U1 of A
1. A is V47(A) Element of the U1 of A
the U3 of A is Element of the U1 of A
(1. A) * (1. A) is Element of the U1 of A
(Det y) * (1. A) is Element of the U1 of A
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,y,x0) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF x0 is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF y) * (MXR2MXF x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF x0)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n,y,x0)) is V90() real ext-real Element of REAL
(n,(n,y,x0)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
Det (n,(n,y,x0)) is V90() real ext-real Element of the U1 of F_Real
(n,y) is V90() real ext-real Element of REAL
(n,y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
Det (n,y) is V90() real ext-real Element of the U1 of F_Real
(n,x0) is V90() real ext-real Element of REAL
(n,x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
Det (n,x0) is V90() real ext-real Element of the U1 of F_Real
(n,y) * (n,x0) is V90() real ext-real Element of REAL
B is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
Det B is V90() real ext-real Element of the U1 of F_Real
i4 is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
Det i4 is V90() real ext-real Element of the U1 of F_Real
(Det B) * (Det i4) is V90() real ext-real Element of the U1 of F_Real
K186((Det B),(Det i4)) is V90() real ext-real Element of REAL
n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n - A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
K475(A) is V1() Function-like complex-yielding set
- 1 is V90() set
(- 1) * A is V1() Function-like set
K446(n,K475(A)) is V1() Function-like set
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n - A) * y is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx (n - A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx (n - A)) * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx (n - A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx (n - A))) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx (n - A))) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx (n - A)) * y),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx (n - A)) * y)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx (n - A)) * y)) -tuples_on REAL
width ((LineVec2Mx (n - A)) * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx (n - A)) * y)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n * y is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx n) * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx n)) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx n) * y),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx n) * y)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx n) * y)) -tuples_on REAL
width ((LineVec2Mx n) * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx n) * y)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
A * y is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx A) * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx A)) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx A)) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx A) * y),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx A) * y)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx A) * y)) -tuples_on REAL
width ((LineVec2Mx A) * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx A) * y)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n * y) - (A * y) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
K475((A * y)) is V1() Function-like complex-yielding set
(- 1) * (A * y) is V1() Function-like set
K446((n * y),K475((A * y))) is V1() Function-like set
width (LineVec2Mx A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (LineVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (LineVec2Mx A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (LineVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len ((LineVec2Mx n) * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len ((LineVec2Mx A) * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(LineVec2Mx n) - (LineVec2Mx A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXR2MXF (LineVec2Mx n)) - (MXR2MXF (LineVec2Mx A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx n)) - (MXR2MXF (LineVec2Mx A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
((LineVec2Mx n) - (LineVec2Mx A)) * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF ((LineVec2Mx n) - (LineVec2Mx A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF ((LineVec2Mx n) - (LineVec2Mx A))) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF ((LineVec2Mx n) - (LineVec2Mx A))) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line ((((LineVec2Mx n) - (LineVec2Mx A)) * y),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width (((LineVec2Mx n) - (LineVec2Mx A)) * y)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width (((LineVec2Mx n) - (LineVec2Mx A)) * y)) -tuples_on REAL
width (((LineVec2Mx n) - (LineVec2Mx A)) * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width (((LineVec2Mx n) - (LineVec2Mx A)) * y)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
((LineVec2Mx n) * y) - ((LineVec2Mx A) * y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF ((LineVec2Mx n) * y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF ((LineVec2Mx A) * y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF ((LineVec2Mx n) * y)) - (MXR2MXF ((LineVec2Mx A) * y)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF ((LineVec2Mx n) * y)) - (MXR2MXF ((LineVec2Mx A) * y))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line ((((LineVec2Mx n) * y) - ((LineVec2Mx A) * y)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width (((LineVec2Mx n) * y) - ((LineVec2Mx A) * y))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width (((LineVec2Mx n) * y) - ((LineVec2Mx A) * y))) -tuples_on REAL
width (((LineVec2Mx n) * y) - ((LineVec2Mx A) * y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width (((LineVec2Mx n) * y) - ((LineVec2Mx A) * y))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n - A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
K475(A) is V1() Function-like complex-yielding set
- 1 is V90() set
(- 1) * A is V1() Function-like set
K446(n,K475(A)) is V1() Function-like set
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y * (n - A) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx (n - A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y * (ColVec2Mx (n - A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (ColVec2Mx (n - A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF y) * (MXR2MXF (ColVec2Mx (n - A))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF (ColVec2Mx (n - A)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((y * (ColVec2Mx (n - A))),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (y * (ColVec2Mx (n - A)))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (y * (ColVec2Mx (n - A)))) -tuples_on REAL
len (y * (ColVec2Mx (n - A))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (y * (ColVec2Mx (n - A)))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
y * n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y * (ColVec2Mx n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (ColVec2Mx n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF y) * (MXR2MXF (ColVec2Mx n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF (ColVec2Mx n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((y * (ColVec2Mx n)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (y * (ColVec2Mx n))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (y * (ColVec2Mx n))) -tuples_on REAL
len (y * (ColVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (y * (ColVec2Mx n))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
y * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y * (ColVec2Mx A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (ColVec2Mx A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF y) * (MXR2MXF (ColVec2Mx A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF (ColVec2Mx A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((y * (ColVec2Mx A)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (y * (ColVec2Mx A))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (y * (ColVec2Mx A))) -tuples_on REAL
len (y * (ColVec2Mx A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (y * (ColVec2Mx A))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(y * n) - (y * A) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
K475((y * A)) is V1() Function-like complex-yielding set
(- 1) * (y * A) is V1() Function-like set
K446((y * n),K475((y * A))) is V1() Function-like set
len (ColVec2Mx A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (ColVec2Mx A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (ColVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (ColVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (y * (ColVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (y * (ColVec2Mx A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(ColVec2Mx n) - (ColVec2Mx A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXR2MXF (ColVec2Mx n)) - (MXR2MXF (ColVec2Mx A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (ColVec2Mx n)) - (MXR2MXF (ColVec2Mx A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y * ((ColVec2Mx n) - (ColVec2Mx A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF ((ColVec2Mx n) - (ColVec2Mx A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF y) * (MXR2MXF ((ColVec2Mx n) - (ColVec2Mx A))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF ((ColVec2Mx n) - (ColVec2Mx A)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((y * ((ColVec2Mx n) - (ColVec2Mx A))),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (y * ((ColVec2Mx n) - (ColVec2Mx A)))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (y * ((ColVec2Mx n) - (ColVec2Mx A)))) -tuples_on REAL
len (y * ((ColVec2Mx n) - (ColVec2Mx A))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (y * ((ColVec2Mx n) - (ColVec2Mx A)))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(y * (ColVec2Mx n)) - (y * (ColVec2Mx A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (y * (ColVec2Mx n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (y * (ColVec2Mx A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (y * (ColVec2Mx n))) - (MXR2MXF (y * (ColVec2Mx A))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (y * (ColVec2Mx n))) - (MXR2MXF (y * (ColVec2Mx A)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col (((y * (ColVec2Mx n)) - (y * (ColVec2Mx A))),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len ((y * (ColVec2Mx n)) - (y * (ColVec2Mx A)))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len ((y * (ColVec2Mx n)) - (y * (ColVec2Mx A)))) -tuples_on REAL
len ((y * (ColVec2Mx n)) - (y * (ColVec2Mx A))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len ((y * (ColVec2Mx n)) - (y * (ColVec2Mx A)))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
- n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
- 1 is V90() set
(- 1) * n is V1() Function-like set
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(- n) * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx (- n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx (- n)) * A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx (- n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx (- n))) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx (- n))) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx (- n)) * A),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx (- n)) * A)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx (- n)) * A)) -tuples_on REAL
width ((LineVec2Mx (- n)) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx (- n)) * A)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx n) * A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx n)) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx n) * A),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx n) * A)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx n) * A)) -tuples_on REAL
width ((LineVec2Mx n) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx n) * A)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
- (n * A) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(- 1) * (n * A) is V1() Function-like set
A @ is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(A @) * n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(A @) * (ColVec2Mx n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (A @) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (ColVec2Mx n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (A @)) * (MXR2MXF (ColVec2Mx n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (A @)) * (MXR2MXF (ColVec2Mx n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col (((A @) * (ColVec2Mx n)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len ((A @) * (ColVec2Mx n))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len ((A @) * (ColVec2Mx n))) -tuples_on REAL
len ((A @) * (ColVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len ((A @) * (ColVec2Mx n))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
width (A @) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(A @) * (- n) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx (- n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(A @) * (ColVec2Mx (- n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (ColVec2Mx (- n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (A @)) * (MXR2MXF (ColVec2Mx (- n))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (A @)) * (MXR2MXF (ColVec2Mx (- n)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col (((A @) * (ColVec2Mx (- n))),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len ((A @) * (ColVec2Mx (- n)))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len ((A @) * (ColVec2Mx (- n)))) -tuples_on REAL
len ((A @) * (ColVec2Mx (- n))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len ((A @) * (ColVec2Mx (- n)))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(- 1) * ((A @) * n) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len (- n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (A @) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(A @) @ is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(- n) * ((A @) @) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(LineVec2Mx (- n)) * ((A @) @) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF ((A @) @) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx (- n))) * (MXR2MXF ((A @) @)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx (- n))) * (MXR2MXF ((A @) @))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx (- n)) * ((A @) @)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx (- n)) * ((A @) @))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx (- n)) * ((A @) @))) -tuples_on REAL
width ((LineVec2Mx (- n)) * ((A @) @)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx (- n)) * ((A @) @))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
- n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
- 1 is V90() set
(- 1) * n is V1() Function-like set
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A * (- n) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx (- n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A * (ColVec2Mx (- n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (ColVec2Mx (- n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF (ColVec2Mx (- n))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (ColVec2Mx (- n)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((A * (ColVec2Mx (- n))),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (A * (ColVec2Mx (- n)))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (A * (ColVec2Mx (- n)))) -tuples_on REAL
len (A * (ColVec2Mx (- n))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (A * (ColVec2Mx (- n)))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
A * n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A * (ColVec2Mx n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (ColVec2Mx n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF (ColVec2Mx n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (ColVec2Mx n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((A * (ColVec2Mx n)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (A * (ColVec2Mx n))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (A * (ColVec2Mx n))) -tuples_on REAL
len (A * (ColVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (A * (ColVec2Mx n))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
- (A * n) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(- 1) * (A * n) is V1() Function-like set
len (ColVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (ColVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (A * (ColVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(- 1) * (ColVec2Mx n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A * ((- 1) * (ColVec2Mx n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF ((- 1) * (ColVec2Mx n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF ((- 1) * (ColVec2Mx n))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF ((- 1) * (ColVec2Mx n)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((A * ((- 1) * (ColVec2Mx n))),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (A * ((- 1) * (ColVec2Mx n)))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (A * ((- 1) * (ColVec2Mx n)))) -tuples_on REAL
len (A * ((- 1) * (ColVec2Mx n))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (A * ((- 1) * (ColVec2Mx n)))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(- 1) * (A * (ColVec2Mx n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col (((- 1) * (A * (ColVec2Mx n))),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len ((- 1) * (A * (ColVec2Mx n)))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len ((- 1) * (A * (ColVec2Mx n)))) -tuples_on REAL
len ((- 1) * (A * (ColVec2Mx n))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len ((- 1) * (A * (ColVec2Mx n)))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
- A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
- (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR (- (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n * (- A) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx n) * (- A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (- A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx n)) * (MXR2MXF (- A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF (- A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx n) * (- A)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx n) * (- A))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx n) * (- A))) -tuples_on REAL
width ((LineVec2Mx n) * (- A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx n) * (- A))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(LineVec2Mx n) * A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXR2MXF (LineVec2Mx n)) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx n) * A),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx n) * A)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx n) * A)) -tuples_on REAL
width ((LineVec2Mx n) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx n) * A)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
- (n * A) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
- 1 is V90() set
(- 1) * (n * A) is V1() Function-like set
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (n * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (- A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (- A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (n * (- A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n * (- A)) + (n * A) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(- A) + A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXR2MXF (- A)) + (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (- A)) + (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n * ((- A) + A) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(LineVec2Mx n) * ((- A) + A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF ((- A) + A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx n)) * (MXR2MXF ((- A) + A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF ((- A) + A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx n) * ((- A) + A)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx n) * ((- A) + A))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx n) * ((- A) + A))) -tuples_on REAL
width ((LineVec2Mx n) * ((- A) + A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx n) * ((- A) + A))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
0_Rmatrix ((len A),(width A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
0. (F_Real,(len A),(width A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of len A, width A, the U1 of F_Real
MXF2MXR (0. (F_Real,(len A),(width A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n * (0_Rmatrix ((len A),(width A))) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(LineVec2Mx n) * (0_Rmatrix ((len A),(width A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (0_Rmatrix ((len A),(width A))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx n)) * (MXR2MXF (0_Rmatrix ((len A),(width A)))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF (0_Rmatrix ((len A),(width A))))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx n) * (0_Rmatrix ((len A),(width A)))),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx n) * (0_Rmatrix ((len A),(width A))))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx n) * (0_Rmatrix ((len A),(width A))))) -tuples_on REAL
width ((LineVec2Mx n) * (0_Rmatrix ((len A),(width A)))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx n) * (0_Rmatrix ((len A),(width A))))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
0* (width A) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of REAL (width A)
REAL (width A) is functional FinSequence-membered FinSequenceSet of REAL
n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
- A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
- (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR (- (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(- A) * n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(- A) * (ColVec2Mx n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (- A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (ColVec2Mx n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (- A)) * (MXR2MXF (ColVec2Mx n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (- A)) * (MXR2MXF (ColVec2Mx n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col (((- A) * (ColVec2Mx n)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len ((- A) * (ColVec2Mx n))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len ((- A) * (ColVec2Mx n))) -tuples_on REAL
len ((- A) * (ColVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len ((- A) * (ColVec2Mx n))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
A * n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
A * (ColVec2Mx n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXR2MXF A) * (MXR2MXF (ColVec2Mx n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (ColVec2Mx n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((A * (ColVec2Mx n)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (A * (ColVec2Mx n))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (A * (ColVec2Mx n))) -tuples_on REAL
len (A * (ColVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (A * (ColVec2Mx n))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
- (A * n) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
- 1 is V90() set
(- 1) * (A * n) is V1() Function-like set
len (ColVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (ColVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (A * (ColVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(- 1) * A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
((- 1) * A) * (ColVec2Mx n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF ((- 1) * A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF ((- 1) * A)) * (MXR2MXF (ColVec2Mx n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF ((- 1) * A)) * (MXR2MXF (ColVec2Mx n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((((- 1) * A) * (ColVec2Mx n)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (((- 1) * A) * (ColVec2Mx n))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (((- 1) * A) * (ColVec2Mx n))) -tuples_on REAL
len (((- 1) * A) * (ColVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (((- 1) * A) * (ColVec2Mx n))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(- 1) * (A * (ColVec2Mx n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col (((- 1) * (A * (ColVec2Mx n))),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len ((- 1) * (A * (ColVec2Mx n)))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len ((- 1) * (A * (ColVec2Mx n)))) -tuples_on REAL
len ((- 1) * (A * (ColVec2Mx n))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len ((- 1) * (A * (ColVec2Mx n)))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n is V90() real ext-real Element of REAL
A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y * (n * A) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx (n * A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y * (ColVec2Mx (n * A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (ColVec2Mx (n * A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF y) * (MXR2MXF (ColVec2Mx (n * A))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF (ColVec2Mx (n * A)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((y * (ColVec2Mx (n * A))),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (y * (ColVec2Mx (n * A)))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (y * (ColVec2Mx (n * A)))) -tuples_on REAL
len (y * (ColVec2Mx (n * A))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (y * (ColVec2Mx (n * A)))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
y * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y * (ColVec2Mx A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (ColVec2Mx A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF y) * (MXR2MXF (ColVec2Mx A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF (ColVec2Mx A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((y * (ColVec2Mx A)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (y * (ColVec2Mx A))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (y * (ColVec2Mx A))) -tuples_on REAL
len (y * (ColVec2Mx A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (y * (ColVec2Mx A))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n * (y * A) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len (ColVec2Mx A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (ColVec2Mx A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (y * (ColVec2Mx A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n * (ColVec2Mx A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y * (n * (ColVec2Mx A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (n * (ColVec2Mx A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF y) * (MXR2MXF (n * (ColVec2Mx A))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF (n * (ColVec2Mx A)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((y * (n * (ColVec2Mx A))),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (y * (n * (ColVec2Mx A)))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (y * (n * (ColVec2Mx A)))) -tuples_on REAL
len (y * (n * (ColVec2Mx A))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (y * (n * (ColVec2Mx A)))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n * (y * (ColVec2Mx A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((n * (y * (ColVec2Mx A))),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (n * (y * (ColVec2Mx A)))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (n * (y * (ColVec2Mx A)))) -tuples_on REAL
len (n * (y * (ColVec2Mx A))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (n * (y * (ColVec2Mx A)))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A - y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) - (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) - (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n * (A - y) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx n) * (A - y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (A - y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx n)) * (MXR2MXF (A - y)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF (A - y))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx n) * (A - y)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx n) * (A - y))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx n) * (A - y))) -tuples_on REAL
width ((LineVec2Mx n) * (A - y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx n) * (A - y))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(LineVec2Mx n) * A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXR2MXF (LineVec2Mx n)) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx n) * A),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx n) * A)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx n) * A)) -tuples_on REAL
width ((LineVec2Mx n) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx n) * A)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n * y is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(LineVec2Mx n) * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXR2MXF (LineVec2Mx n)) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx n) * y),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx n) * y)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx n) * y)) -tuples_on REAL
width ((LineVec2Mx n) * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx n) * y)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n * A) - (n * y) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
K475((n * y)) is V1() Function-like complex-yielding set
- 1 is V90() set
(- 1) * (n * y) is V1() Function-like set
K446((n * A),K475((n * y))) is V1() Function-like set
width (LineVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len ((LineVec2Mx n) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (LineVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len ((LineVec2Mx n) * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
((LineVec2Mx n) * A) - ((LineVec2Mx n) * y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF ((LineVec2Mx n) * A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF ((LineVec2Mx n) * y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF ((LineVec2Mx n) * A)) - (MXR2MXF ((LineVec2Mx n) * y)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF ((LineVec2Mx n) * A)) - (MXR2MXF ((LineVec2Mx n) * y))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line ((((LineVec2Mx n) * A) - ((LineVec2Mx n) * y)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width (((LineVec2Mx n) * A) - ((LineVec2Mx n) * y))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width (((LineVec2Mx n) * A) - ((LineVec2Mx n) * y))) -tuples_on REAL
width (((LineVec2Mx n) * A) - ((LineVec2Mx n) * y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width (((LineVec2Mx n) * A) - ((LineVec2Mx n) * y))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A - y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) - (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) - (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(A - y) * n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(A - y) * (ColVec2Mx n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (A - y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (ColVec2Mx n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (A - y)) * (MXR2MXF (ColVec2Mx n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (A - y)) * (MXR2MXF (ColVec2Mx n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col (((A - y) * (ColVec2Mx n)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len ((A - y) * (ColVec2Mx n))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len ((A - y) * (ColVec2Mx n))) -tuples_on REAL
len ((A - y) * (ColVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len ((A - y) * (ColVec2Mx n))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
A * n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
A * (ColVec2Mx n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXR2MXF A) * (MXR2MXF (ColVec2Mx n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (ColVec2Mx n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((A * (ColVec2Mx n)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (A * (ColVec2Mx n))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (A * (ColVec2Mx n))) -tuples_on REAL
len (A * (ColVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (A * (ColVec2Mx n))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
y * n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
y * (ColVec2Mx n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXR2MXF y) * (MXR2MXF (ColVec2Mx n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF (ColVec2Mx n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((y * (ColVec2Mx n)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (y * (ColVec2Mx n))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (y * (ColVec2Mx n))) -tuples_on REAL
len (y * (ColVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (y * (ColVec2Mx n))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(A * n) - (y * n) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
K475((y * n)) is V1() Function-like complex-yielding set
- 1 is V90() set
(- 1) * (y * n) is V1() Function-like set
K446((A * n),K475((y * n))) is V1() Function-like set
len (ColVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (A * (ColVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (ColVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (y * (ColVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(A * (ColVec2Mx n)) - (y * (ColVec2Mx n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (A * (ColVec2Mx n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (y * (ColVec2Mx n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (A * (ColVec2Mx n))) - (MXR2MXF (y * (ColVec2Mx n))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (A * (ColVec2Mx n))) - (MXR2MXF (y * (ColVec2Mx n)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col (((A * (ColVec2Mx n)) - (y * (ColVec2Mx n))),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len ((A * (ColVec2Mx n)) - (y * (ColVec2Mx n)))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len ((A * (ColVec2Mx n)) - (y * (ColVec2Mx n)))) -tuples_on REAL
len ((A * (ColVec2Mx n)) - (y * (ColVec2Mx n))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len ((A * (ColVec2Mx n)) - (y * (ColVec2Mx n)))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
LineVec2Mx n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(LineVec2Mx n) * A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx n)) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
Line (((LineVec2Mx n) * A),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx n) * A)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx n) * A)) -tuples_on REAL
width ((LineVec2Mx n) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx n) * A)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
LineVec2Mx (n * A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len (LineVec2Mx (n * A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (MXR2MXF (LineVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (MXR2MXF A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (LineVec2Mx (n * A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (n * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
MXR2MXF (LineVec2Mx (n * A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
width (MXR2MXF (LineVec2Mx (n * A))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (MXR2MXF A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (LineVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Indices (MXR2MXF (LineVec2Mx (n * A))) is set
dom (MXR2MXF (LineVec2Mx (n * A))) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width (MXR2MXF (LineVec2Mx (n * A)))) is V28() V35( width (MXR2MXF (LineVec2Mx (n * A)))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (MXR2MXF (LineVec2Mx (n * A))) ) } is set
[:(dom (MXR2MXF (LineVec2Mx (n * A)))),(Seg (width (MXR2MXF (LineVec2Mx (n * A))))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
len ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (MXR2MXF (LineVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (len ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF A))) is V28() V35( len ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF A))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF A)) ) } is set
y is ordinal natural V28() V33() ext-real non negative set
x0 is ordinal natural V28() V33() ext-real non negative set
[y,x0] is set
{y,x0} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{y} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{y,x0},{y}} is non empty V28() V32() set
(MXR2MXF (LineVec2Mx (n * A))) * (y,x0) is V90() real ext-real Element of the U1 of F_Real
Line ((MXR2MXF (LineVec2Mx n)),y) is V1() V4( NAT ) V5( the U1 of F_Real) Function-like V28() V35( width (MXR2MXF (LineVec2Mx n))) FinSequence-like FinSubsequence-like Element of (width (MXR2MXF (LineVec2Mx n))) -tuples_on the U1 of F_Real
(width (MXR2MXF (LineVec2Mx n))) -tuples_on the U1 of F_Real is functional non empty FinSequence-membered FinSequenceSet of the U1 of F_Real
Col ((MXR2MXF A),x0) is V1() V4( NAT ) V5( the U1 of F_Real) Function-like V28() V35( len (MXR2MXF A)) FinSequence-like FinSubsequence-like Element of (len (MXR2MXF A)) -tuples_on the U1 of F_Real
(len (MXR2MXF A)) -tuples_on the U1 of F_Real is functional non empty FinSequence-membered FinSequenceSet of the U1 of F_Real
(Line ((MXR2MXF (LineVec2Mx n)),y)) "*" (Col ((MXR2MXF A),x0)) is V90() real ext-real Element of the U1 of F_Real
Seg (width A) is V28() V35( width A) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width A ) } is set
dom (n * A) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
(Line (((LineVec2Mx n) * A),1)) . x0 is V90() real ext-real set
(LineVec2Mx (n * A)) * (1,x0) is V90() real ext-real Element of REAL
Indices (LineVec2Mx (n * A)) is set
dom (LineVec2Mx (n * A)) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width (LineVec2Mx (n * A))) is V28() V35( width (LineVec2Mx (n * A))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (LineVec2Mx (n * A)) ) } is set
[:(dom (LineVec2Mx (n * A))),(Seg (width (LineVec2Mx (n * A)))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Seg 1 is non empty trivial V28() V35(1) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= 1 ) } is set
[:(Seg 1),(Seg (width A)):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
width ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
[1,x0] is set
{1,x0} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{1} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{1,x0},{1}} is non empty V28() V32() set
Seg (width ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF A))) is V28() V35( width ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF A))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF A)) ) } is set
[:(Seg (len ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF A)))),(Seg (width ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF A)))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Indices ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF A)) is set
dom ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF A)) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
[:(dom ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF A))),(Seg (width ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF A)))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
((LineVec2Mx n) * A) * (1,x0) is V90() real ext-real Element of REAL
len (MXR2MXF (LineVec2Mx (n * A))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (MXR2MXF (LineVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n * (A * y) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx n) * (A * y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (A * y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx n)) * (MXR2MXF (A * y)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF (A * y))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx n) * (A * y)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx n) * (A * y))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx n) * (A * y))) -tuples_on REAL
width ((LineVec2Mx n) * (A * y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx n) * (A * y))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(LineVec2Mx n) * A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXR2MXF (LineVec2Mx n)) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx n)) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx n) * A),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx n) * A)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx n) * A)) -tuples_on REAL
width ((LineVec2Mx n) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx n) * A)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n * A) * y is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx (n * A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx (n * A)) * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx (n * A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx (n * A))) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx (n * A))) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx (n * A)) * y),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx (n * A)) * y)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx (n * A)) * y)) -tuples_on REAL
width ((LineVec2Mx (n * A)) * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx (n * A)) * y)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
width (LineVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
((LineVec2Mx n) * A) * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF ((LineVec2Mx n) * A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF ((LineVec2Mx n) * A)) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF ((LineVec2Mx n) * A)) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line ((((LineVec2Mx n) * A) * y),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width (((LineVec2Mx n) * A) * y)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width (((LineVec2Mx n) * A) * y)) -tuples_on REAL
width (((LineVec2Mx n) * A) * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width (((LineVec2Mx n) * A) * y)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
ColVec2Mx n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A * (ColVec2Mx n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (ColVec2Mx n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF (ColVec2Mx n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (ColVec2Mx n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A * n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
Col ((A * (ColVec2Mx n)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (A * (ColVec2Mx n))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (A * (ColVec2Mx n))) -tuples_on REAL
len (A * (ColVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (A * (ColVec2Mx n))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
ColVec2Mx (A * n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len (ColVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (MXR2MXF (ColVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (MXR2MXF A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width ((MXR2MXF A) * (MXR2MXF (ColVec2Mx n))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (ColVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len ((MXR2MXF A) * (MXR2MXF (ColVec2Mx n))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (A * n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (ColVec2Mx (A * n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (ColVec2Mx (A * n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
MXR2MXF (ColVec2Mx (A * n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
Indices (MXR2MXF (ColVec2Mx (A * n))) is set
dom (MXR2MXF (ColVec2Mx (A * n))) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
width (MXR2MXF (ColVec2Mx (A * n))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width (MXR2MXF (ColVec2Mx (A * n)))) is V28() V35( width (MXR2MXF (ColVec2Mx (A * n)))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (MXR2MXF (ColVec2Mx (A * n))) ) } is set
[:(dom (MXR2MXF (ColVec2Mx (A * n)))),(Seg (width (MXR2MXF (ColVec2Mx (A * n))))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
y is ordinal natural V28() V33() ext-real non negative set
x0 is ordinal natural V28() V33() ext-real non negative set
[y,x0] is set
{y,x0} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{y} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{y,x0},{y}} is non empty V28() V32() set
(MXR2MXF (ColVec2Mx (A * n))) * (y,x0) is V90() real ext-real Element of the U1 of F_Real
Line ((MXR2MXF A),y) is V1() V4( NAT ) V5( the U1 of F_Real) Function-like V28() V35( width (MXR2MXF A)) FinSequence-like FinSubsequence-like Element of (width (MXR2MXF A)) -tuples_on the U1 of F_Real
(width (MXR2MXF A)) -tuples_on the U1 of F_Real is functional non empty FinSequence-membered FinSequenceSet of the U1 of F_Real
Col ((MXR2MXF (ColVec2Mx n)),x0) is V1() V4( NAT ) V5( the U1 of F_Real) Function-like V28() V35( len (MXR2MXF (ColVec2Mx n))) FinSequence-like FinSubsequence-like Element of (len (MXR2MXF (ColVec2Mx n))) -tuples_on the U1 of F_Real
(len (MXR2MXF (ColVec2Mx n))) -tuples_on the U1 of F_Real is functional non empty FinSequence-membered FinSequenceSet of the U1 of F_Real
(Line ((MXR2MXF A),y)) "*" (Col ((MXR2MXF (ColVec2Mx n)),x0)) is V90() real ext-real Element of the U1 of F_Real
Seg 1 is non empty trivial V28() V35(1) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= 1 ) } is set
Indices (ColVec2Mx (A * n)) is set
dom (ColVec2Mx (A * n)) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width (ColVec2Mx (A * n))) is V28() V35( width (ColVec2Mx (A * n))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (ColVec2Mx (A * n)) ) } is set
[:(dom (ColVec2Mx (A * n))),(Seg (width (ColVec2Mx (A * n)))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Seg (len (ColVec2Mx (A * n))) is V28() V35( len (ColVec2Mx (A * n))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len (ColVec2Mx (A * n)) ) } is set
[:(Seg (len (ColVec2Mx (A * n)))),(Seg 1):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Seg (width ((MXR2MXF A) * (MXR2MXF (ColVec2Mx n)))) is V28() V35( width ((MXR2MXF A) * (MXR2MXF (ColVec2Mx n)))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width ((MXR2MXF A) * (MXR2MXF (ColVec2Mx n))) ) } is set
Seg (len A) is V28() V35( len A) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len A ) } is set
[:(Seg (len A)),(Seg 1):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
dom (A * n) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (len ((MXR2MXF A) * (MXR2MXF (ColVec2Mx n)))) is V28() V35( len ((MXR2MXF A) * (MXR2MXF (ColVec2Mx n)))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len ((MXR2MXF A) * (MXR2MXF (ColVec2Mx n))) ) } is set
[:(Seg (len ((MXR2MXF A) * (MXR2MXF (ColVec2Mx n))))),(Seg (width ((MXR2MXF A) * (MXR2MXF (ColVec2Mx n))))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Indices ((MXR2MXF A) * (MXR2MXF (ColVec2Mx n))) is set
dom ((MXR2MXF A) * (MXR2MXF (ColVec2Mx n))) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
[:(dom ((MXR2MXF A) * (MXR2MXF (ColVec2Mx n)))),(Seg (width ((MXR2MXF A) * (MXR2MXF (ColVec2Mx n))))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
[y,1] is set
{y,1} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{{y,1},{y}} is non empty V28() V32() set
(ColVec2Mx (A * n)) . y is FinSequence-like set
(ColVec2Mx (A * n)) * (y,1) is V90() real ext-real Element of REAL
(Col ((A * (ColVec2Mx n)),1)) . y is V90() real ext-real set
(A * n) . y is V90() real ext-real set
<*((A * n) . y)*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,((A * n) . y)] is set
{1,((A * n) . y)} is non empty V28() V168() V169() V170() set
{1} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{1,((A * n) . y)},{1}} is non empty V28() V32() set
{[1,((A * n) . y)]} is non empty trivial V28() V35(1) set
<*((A * n) . y)*> . 1 is set
B is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
B . 1 is V90() real ext-real set
dom (A * (ColVec2Mx n)) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
(A * (ColVec2Mx n)) * (y,x0) is V90() real ext-real Element of REAL
len (MXR2MXF (ColVec2Mx (A * n))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (MXR2MXF A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (MXR2MXF (ColVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(A * y) * n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx n is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(A * y) * (ColVec2Mx n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (A * y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (ColVec2Mx n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (A * y)) * (MXR2MXF (ColVec2Mx n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (A * y)) * (MXR2MXF (ColVec2Mx n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col (((A * y) * (ColVec2Mx n)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len ((A * y) * (ColVec2Mx n))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len ((A * y) * (ColVec2Mx n))) -tuples_on REAL
len ((A * y) * (ColVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len ((A * y) * (ColVec2Mx n))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
y * n is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
y * (ColVec2Mx n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(MXR2MXF y) * (MXR2MXF (ColVec2Mx n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF (ColVec2Mx n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((y * (ColVec2Mx n)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (y * (ColVec2Mx n))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (y * (ColVec2Mx n))) -tuples_on REAL
len (y * (ColVec2Mx n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (y * (ColVec2Mx n))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
A * (y * n) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx (y * n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A * (ColVec2Mx (y * n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (ColVec2Mx (y * n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF (ColVec2Mx (y * n))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (ColVec2Mx (y * n)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((A * (ColVec2Mx (y * n))),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (A * (ColVec2Mx (y * n)))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (A * (ColVec2Mx (y * n)))) -tuples_on REAL
len (A * (ColVec2Mx (y * n))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (A * (ColVec2Mx (y * n)))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
len (ColVec2Mx n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A * (y * (ColVec2Mx n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (y * (ColVec2Mx n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF (y * (ColVec2Mx n))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (y * (ColVec2Mx n)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((A * (y * (ColVec2Mx n))),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (A * (y * (ColVec2Mx n)))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (A * (y * (ColVec2Mx n)))) -tuples_on REAL
len (A * (y * (ColVec2Mx n))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (A * (y * (ColVec2Mx n)))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,A, REAL
B is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of A,y, REAL
x0 * B is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF x0 is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF B is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF x0) * (MXR2MXF B) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF x0) * (MXR2MXF B)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Indices (x0 * B) is set
dom (x0 * B) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
width (x0 * B) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width (x0 * B)) is V28() V35( width (x0 * B)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (x0 * B) ) } is set
[:(dom (x0 * B)),(Seg (width (x0 * B))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
width x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
i4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Line (x0,i4) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width x0) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width x0) -tuples_on REAL
(width x0) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(Line (x0,i4)) * B is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx (Line (x0,i4)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx (Line (x0,i4))) * B is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx (Line (x0,i4))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx (Line (x0,i4)))) * (MXR2MXF B) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx (Line (x0,i4)))) * (MXR2MXF B)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx (Line (x0,i4))) * B),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx (Line (x0,i4))) * B)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx (Line (x0,i4))) * B)) -tuples_on REAL
width ((LineVec2Mx (Line (x0,i4))) * B) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx (Line (x0,i4))) * B)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
j4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
[i4,j4] is set
{i4,j4} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{i4} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{i4,j4},{i4}} is non empty V28() V32() set
(x0 * B) * (i4,j4) is V90() real ext-real Element of REAL
((Line (x0,i4)) * B) . j4 is V90() real ext-real set
len B is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (Line (x0,i4)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Col (B,j4) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len B) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len B) -tuples_on REAL
(len B) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
|((Line (x0,i4)),(Col (B,j4)))| is real set
width B is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len ((Line (x0,i4)) * B) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (len ((Line (x0,i4)) * B)) is V28() V35( len ((Line (x0,i4)) * B)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len ((Line (x0,i4)) * B) ) } is set
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,y,A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF y) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Indices (n,y,A) is set
dom (n,y,A) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
width (n,y,A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width (n,y,A)) is V28() V35( width (n,y,A)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (n,y,A) ) } is set
[:(dom (n,y,A)),(Seg (width (n,y,A))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Line (y,x0) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width y) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width y) -tuples_on REAL
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width y) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(Line (y,x0)) * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx (Line (y,x0)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx (Line (y,x0))) * A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx (Line (y,x0))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx (Line (y,x0)))) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx (Line (y,x0)))) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx (Line (y,x0))) * A),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx (Line (y,x0))) * A)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx (Line (y,x0))) * A)) -tuples_on REAL
width ((LineVec2Mx (Line (y,x0))) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx (Line (y,x0))) * A)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
B is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
[x0,B] is set
{x0,B} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{x0} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{x0,B},{x0}} is non empty V28() V32() set
(n,y,A) * (x0,B) is V90() real ext-real Element of REAL
((Line (y,x0)) * A) . B is V90() real ext-real set
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Col (A,B) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len A) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len A) -tuples_on REAL
(len A) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
|((Line (y,x0)),(Col (A,B)))| is real set
len (Line (y,x0)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len ((Line (y,x0)) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (len ((Line (y,x0)) * A)) is V28() V35( len ((Line (y,x0)) * A)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len ((Line (y,x0)) * A) ) } is set
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,A,y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Indices (n,A,y) is set
dom (n,A,y) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
width (n,A,y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width (n,A,y)) is V28() V35( width (n,A,y)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (n,A,y) ) } is set
[:(dom (n,A,y)),(Seg (width (n,A,y))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
B is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
[x0,B] is set
{x0,B} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{x0} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{x0,B},{x0}} is non empty V28() V32() set
(n,A,y) * (x0,B) is V90() real ext-real Element of REAL
Col (y,B) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len y) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len y) -tuples_on REAL
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len y) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
A * (Col (y,B)) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx (Col (y,B)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A * (ColVec2Mx (Col (y,B))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (ColVec2Mx (Col (y,B))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF (ColVec2Mx (Col (y,B)))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (ColVec2Mx (Col (y,B))))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((A * (ColVec2Mx (Col (y,B)))),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (A * (ColVec2Mx (Col (y,B))))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (A * (ColVec2Mx (Col (y,B))))) -tuples_on REAL
len (A * (ColVec2Mx (Col (y,B)))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (A * (ColVec2Mx (Col (y,B))))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(A * (Col (y,B))) . x0 is V90() real ext-real set
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (n,A,y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (len (n,A,y)) is V28() V35( len (n,A,y)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len (n,A,y) ) } is set
len (Col (y,B)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Line (A,x0) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width A) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width A) -tuples_on REAL
(width A) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
|((Line (A,x0)),(Col (y,B)))| is real set
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (A * (Col (y,B))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (len (A * (Col (y,B)))) is V28() V35( len (A * (Col (y,B)))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len (A * (Col (y,B))) ) } is set
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Indices (n) is set
dom (n) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
width (n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width (n)) is V28() V35( width (n)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (n) ) } is set
[:(dom (n)),(Seg (width (n))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
[y,y] is set
{y,y} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{y} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{y,y},{y}} is non empty V28() V32() set
(n) * (y,y) is V90() real ext-real Element of REAL
1_ F_Real is V90() real ext-real Element of the U1 of F_Real
1. F_Real is V47( F_Real ) V90() real ext-real Element of the U1 of F_Real
the U3 of F_Real is V90() real ext-real Element of the U1 of F_Real
y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
[y,x0] is set
{y,x0} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{y} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{y,x0},{y}} is non empty V28() V32() set
(n) * (y,x0) is V90() real ext-real Element of REAL
0. F_Real is V47( F_Real ) V90() real ext-real Element of the U1 of F_Real
the U2 of F_Real is V90() real ext-real Element of the U1 of F_Real
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n) @ is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
len (n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Indices (n) is set
dom (n) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
width (n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width (n)) is V28() V35( width (n)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (n) ) } is set
[:(dom (n)),(Seg (width (n))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Seg n is V28() V35(n) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= n ) } is set
[:(Seg n),(Seg n):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
A is ordinal natural V28() V33() ext-real non negative set
y is ordinal natural V28() V33() ext-real non negative set
[A,y] is set
{A,y} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{A} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{A,y},{A}} is non empty V28() V32() set
(n) * (A,y) is V90() real ext-real Element of REAL
((n) @) * (A,y) is V90() real ext-real Element of REAL
[y,A] is set
{y,A} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{y} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{y,A},{y}} is non empty V28() V32() set
x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
B is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) * (x0,B) is V90() real ext-real Element of REAL
(n) * (B,x0) is V90() real ext-real Element of REAL
len ((n) @) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width ((n) @) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
0_Rmatrix (n,A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
0. (F_Real,n,A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,A, the U1 of F_Real
MXF2MXR (0. (F_Real,n,A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(0_Rmatrix (n,A)) + (0_Rmatrix (n,A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (0_Rmatrix (n,A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (0_Rmatrix (n,A))) + (MXR2MXF (0_Rmatrix (n,A))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (0_Rmatrix (n,A))) + (MXR2MXF (0_Rmatrix (n,A)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
width (0_Rmatrix (n,A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (0_Rmatrix (n,A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
0 + 0 is ordinal natural V28() V33() V90() real ext-real non negative Element of REAL
(0 + 0) * (0_Rmatrix (n,A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
0_Rmatrix (n,A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
0. (F_Real,n,A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,A, the U1 of F_Real
MXF2MXR (0. (F_Real,n,A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y is V90() real ext-real Element of REAL
y * (0_Rmatrix (n,A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len (y * (0_Rmatrix (n,A))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (0_Rmatrix (n,A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (y * (0_Rmatrix (n,A))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (0_Rmatrix (n,A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(0_Rmatrix (n,A)) + (0_Rmatrix (n,A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (0_Rmatrix (n,A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (0_Rmatrix (n,A))) + (MXR2MXF (0_Rmatrix (n,A))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (0_Rmatrix (n,A))) + (MXR2MXF (0_Rmatrix (n,A)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y * ((0_Rmatrix (n,A)) + (0_Rmatrix (n,A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(y * (0_Rmatrix (n,A))) + (y * (0_Rmatrix (n,A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (y * (0_Rmatrix (n,A))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (y * (0_Rmatrix (n,A)))) + (MXR2MXF (y * (0_Rmatrix (n,A)))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (y * (0_Rmatrix (n,A)))) + (MXR2MXF (y * (0_Rmatrix (n,A))))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n is non empty V44() non trivial right_complementable almost_left_invertible unital associative commutative V122() V123() V124() right-distributive left-distributive right_unital well-unital V136() left_unital doubleLoopStr
the U1 of n is non empty non trivial set
the U1 of n * is functional non empty FinSequence-membered FinSequenceSet of the U1 of n
A is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
1. (n,(width A)) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of width A, width A, the U1 of n
A * (1. (n,(width A))) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
width (1. (n,(width A))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (1. (n,(width A))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (A * (1. (n,(width A)))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
B is ordinal natural V28() V33() ext-real non negative set
i4 is ordinal natural V28() V33() ext-real non negative set
[B,i4] is set
{B,i4} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{B} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{B,i4},{B}} is non empty V28() V32() set
Indices (A * (1. (n,(width A)))) is set
dom (A * (1. (n,(width A)))) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (width (A * (1. (n,(width A))))) is V28() V35( width (A * (1. (n,(width A))))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (A * (1. (n,(width A)))) ) } is set
[:(dom (A * (1. (n,(width A))))),(Seg (width (A * (1. (n,(width A)))))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Seg (width (1. (n,(width A)))) is V28() V35( width (1. (n,(width A)))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (1. (n,(width A))) ) } is set
Line (A,B) is V1() V4( NAT ) V5( the U1 of n) Function-like V28() V35( width A) FinSequence-like FinSubsequence-like Element of (width A) -tuples_on the U1 of n
(width A) -tuples_on the U1 of n is functional non empty FinSequence-membered FinSequenceSet of the U1 of n
len (Line (A,B)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (len (Line (A,B))) is V28() V35( len (Line (A,B))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len (Line (A,B)) ) } is set
dom (Line (A,B)) is V28() V35( width A) V168() V169() V170() V171() V172() V173() Element of bool NAT
j4 is ordinal natural V28() V33() ext-real non negative set
Col ((1. (n,(width A))),i4) is V1() V4( NAT ) V5( the U1 of n) Function-like V28() V35( len (1. (n,(width A)))) FinSequence-like FinSubsequence-like Element of (len (1. (n,(width A)))) -tuples_on the U1 of n
(len (1. (n,(width A)))) -tuples_on the U1 of n is functional non empty FinSequence-membered FinSequenceSet of the U1 of n
dom (Col ((1. (n,(width A))),i4)) is V28() V35( len (1. (n,(width A)))) V168() V169() V170() V171() V172() V173() Element of bool NAT
len (Col ((1. (n,(width A))),i4)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (len (Col ((1. (n,(width A))),i4))) is V28() V35( len (Col ((1. (n,(width A))),i4))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len (Col ((1. (n,(width A))),i4)) ) } is set
Seg (len (1. (n,(width A)))) is V28() V35( len (1. (n,(width A)))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len (1. (n,(width A))) ) } is set
dom (1. (n,(width A))) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
[j4,i4] is set
{j4,i4} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{j4} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{j4,i4},{j4}} is non empty V28() V32() set
Indices (1. (n,(width A))) is set
[:(dom (1. (n,(width A)))),(Seg (width (1. (n,(width A))))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
(Col ((1. (n,(width A))),i4)) . j4 is set
0. n is V47(n) Element of the U1 of n
the U2 of n is Element of the U1 of n
Seg (width A) is V28() V35( width A) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width A ) } is set
[i4,i4] is set
{i4,i4} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{i4} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{i4,i4},{i4}} is non empty V28() V32() set
(Col ((1. (n,(width A))),i4)) . i4 is set
1_ n is Element of the U1 of n
1. n is V47(n) Element of the U1 of n
the U3 of n is Element of the U1 of n
(A * (1. (n,(width A)))) * (B,i4) is Element of the U1 of n
(Line (A,B)) "*" (Col ((1. (n,(width A))),i4)) is Element of the U1 of n
(Col ((1. (n,(width A))),i4)) "*" (Line (A,B)) is Element of the U1 of n
mlt ((Col ((1. (n,(width A))),i4)),(Line (A,B))) is V1() V4( NAT ) V5( the U1 of n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of the U1 of n
Sum (mlt ((Col ((1. (n,(width A))),i4)),(Line (A,B)))) is Element of the U1 of n
(Line (A,B)) . i4 is set
A * (B,i4) is Element of the U1 of n
len (A * (1. (n,(width A)))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is non empty V44() non trivial right_complementable almost_left_invertible unital associative commutative V122() V123() V124() right-distributive left-distributive right_unital well-unital V136() left_unital doubleLoopStr
the U1 of n is non empty non trivial set
the U1 of n * is functional non empty FinSequence-membered FinSequenceSet of the U1 of n
A is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
1. (n,(len A)) is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of len A, len A, the U1 of n
(1. (n,(len A))) * A is V1() V4( NAT ) V5( the U1 of n * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of n *
len (1. (n,(len A))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (1. (n,(len A))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len ((1. (n,(len A))) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
dom A is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (len A) is V28() V35( len A) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len A ) } is set
B is ordinal natural V28() V33() ext-real non negative set
i4 is ordinal natural V28() V33() ext-real non negative set
[B,i4] is set
{B,i4} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{B} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{B,i4},{B}} is non empty V28() V32() set
Indices ((1. (n,(len A))) * A) is set
dom ((1. (n,(len A))) * A) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
width ((1. (n,(len A))) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width ((1. (n,(len A))) * A)) is V28() V35( width ((1. (n,(len A))) * A)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width ((1. (n,(len A))) * A) ) } is set
[:(dom ((1. (n,(len A))) * A)),(Seg (width ((1. (n,(len A))) * A))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Seg (len ((1. (n,(len A))) * A)) is V28() V35( len ((1. (n,(len A))) * A)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len ((1. (n,(len A))) * A) ) } is set
Seg (width (1. (n,(len A)))) is V28() V35( width (1. (n,(len A)))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (1. (n,(len A))) ) } is set
Line ((1. (n,(len A))),B) is V1() V4( NAT ) V5( the U1 of n) Function-like V28() V35( width (1. (n,(len A)))) FinSequence-like FinSubsequence-like Element of (width (1. (n,(len A)))) -tuples_on the U1 of n
(width (1. (n,(len A)))) -tuples_on the U1 of n is functional non empty FinSequence-membered FinSequenceSet of the U1 of n
len (Line ((1. (n,(len A))),B)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (len (Line ((1. (n,(len A))),B))) is V28() V35( len (Line ((1. (n,(len A))),B))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len (Line ((1. (n,(len A))),B)) ) } is set
dom (Line ((1. (n,(len A))),B)) is V28() V35( width (1. (n,(len A)))) V168() V169() V170() V171() V172() V173() Element of bool NAT
dom (1. (n,(len A))) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
Seg (len (1. (n,(len A)))) is V28() V35( len (1. (n,(len A)))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len (1. (n,(len A))) ) } is set
[B,B] is set
{B,B} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{{B,B},{B}} is non empty V28() V32() set
Indices (1. (n,(len A))) is set
[:(dom (1. (n,(len A)))),(Seg (width (1. (n,(len A))))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
(Line ((1. (n,(len A))),B)) . B is set
1_ n is Element of the U1 of n
1. n is V47(n) Element of the U1 of n
the U3 of n is Element of the U1 of n
Col (A,i4) is V1() V4( NAT ) V5( the U1 of n) Function-like V28() V35( len A) FinSequence-like FinSubsequence-like Element of (len A) -tuples_on the U1 of n
(len A) -tuples_on the U1 of n is functional non empty FinSequence-membered FinSequenceSet of the U1 of n
len (Col (A,i4)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (len (Col (A,i4))) is V28() V35( len (Col (A,i4))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len (Col (A,i4)) ) } is set
dom (Col (A,i4)) is V28() V35( len A) V168() V169() V170() V171() V172() V173() Element of bool NAT
j4 is ordinal natural V28() V33() ext-real non negative set
[B,j4] is set
{B,j4} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{{B,j4},{B}} is non empty V28() V32() set
(Line ((1. (n,(len A))),B)) . j4 is set
0. n is V47(n) Element of the U1 of n
the U2 of n is Element of the U1 of n
((1. (n,(len A))) * A) * (B,i4) is Element of the U1 of n
(Line ((1. (n,(len A))),B)) "*" (Col (A,i4)) is Element of the U1 of n
mlt ((Line ((1. (n,(len A))),B)),(Col (A,i4))) is V1() V4( NAT ) V5( the U1 of n) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of the U1 of n
Sum (mlt ((Line ((1. (n,(len A))),B)),(Col (A,i4)))) is Element of the U1 of n
(Col (A,i4)) . B is set
A * (B,i4) is Element of the U1 of n
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A * (n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF (n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of y,y, REAL
1. (F_Real,y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of y,y, the U1 of F_Real
MXF2MXR (1. (F_Real,y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(y) * x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF x0 is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (y)) * (MXR2MXF x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (y)) * (MXR2MXF x0)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,(n),A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n)) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n)) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,A,(n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF (n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n)) is V90() real ext-real Element of REAL
(n,(n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
Det (n,(n)) is V90() real ext-real Element of the U1 of F_Real
1_ F_Real is V90() real ext-real Element of the U1 of F_Real
1. F_Real is V47( F_Real ) V90() real ext-real Element of the U1 of F_Real
the U3 of F_Real is V90() real ext-real Element of the U1 of F_Real
1. F_Real is V47( F_Real ) V90() real ext-real Element of the U1 of F_Real
the U3 of F_Real is V90() real ext-real Element of the U1 of F_Real
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
0_Rmatrix (n,n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
0. (F_Real,n,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (0. (F_Real,n,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
0_Rmatrix (n,n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
0. (F_Real,n,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (0. (F_Real,n,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n)) is V90() real ext-real Element of REAL
(n,(n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
Det (n,(n)) is V90() real ext-real Element of the U1 of F_Real
0 + 1 is non empty ordinal natural V28() V33() V90() real ext-real positive non negative Element of REAL
0. F_Real is V47( F_Real ) V90() real ext-real Element of the U1 of F_Real
the U2 of F_Real is V90() real ext-real Element of the U1 of F_Real
n is ordinal natural V28() V33() ext-real non negative set
n |-> 0 is V1() empty-yielding V4( NAT ) V5( REAL ) Function-like V28() V35(n) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of n -tuples_on REAL
n -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
A is ordinal natural V28() V33() ext-real non negative set
(n |-> 0) +* (A,1) is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y |-> 0 is V1() empty-yielding V4( NAT ) V5( REAL ) Function-like V28() V35(y) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of y -tuples_on REAL
y -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(y |-> 0) +* (A,1) is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
Replace ((y |-> 0),A,1) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
n is ordinal natural V28() V33() ext-real non negative set
A is ordinal natural V28() V33() ext-real non negative set
(n,A) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
n |-> 0 is V1() empty-yielding V4( NAT ) V5( REAL ) Function-like V28() V35(n) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of n -tuples_on REAL
n -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n |-> 0) +* (A,1) is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
len (n,A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len ((n |-> 0) +* (A,1)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (n |-> 0) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is ordinal natural V28() V33() ext-real non negative set
A is ordinal natural V28() V33() ext-real non negative set
(A,n) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
A |-> 0 is V1() empty-yielding V4( NAT ) V5( REAL ) Function-like V28() V35(A) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of A -tuples_on REAL
A -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(A |-> 0) +* (n,1) is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
(A,n) . n is V90() real ext-real set
len (A |-> 0) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
dom (A |-> 0) is V28() V35(A) V168() V169() V170() V171() V172() V173() Element of bool NAT
n is ordinal natural V28() V33() ext-real non negative set
A is ordinal natural V28() V33() ext-real non negative set
y is ordinal natural V28() V33() ext-real non negative set
(A,y) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
A |-> 0 is V1() empty-yielding V4( NAT ) V5( REAL ) Function-like V28() V35(A) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of A -tuples_on REAL
A -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(A |-> 0) +* (y,1) is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
(A,y) . n is V90() real ext-real set
Seg A is V28() V35(A) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= A ) } is set
(A |-> 0) . n is V90() real ext-real set
(1,1) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
1 |-> 0 is V1() empty-yielding V4( NAT ) V5( REAL ) Function-like one-to-one non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like complex-yielding V159() V160() V162() V163() V164() V165() Element of 1 -tuples_on REAL
1 -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(1 |-> 0) +* (1,1) is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
<*1*> is V1() V4( NAT ) V5( REAL ) Function-like one-to-one non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like complex-yielding V159() V160() V162() V163() V164() V165() Element of 1 -tuples_on REAL
[1,1] is set
{1,1} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{1} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{1,1},{1}} is non empty V28() V32() set
{[1,1]} is non empty trivial V28() V35(1) set
(2,1) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
2 |-> 0 is V1() empty-yielding V4( NAT ) V5( REAL ) Function-like V28() V35(2) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of 2 -tuples_on REAL
2 -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(2 |-> 0) +* (1,1) is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
<*1,0*> is V1() V4( NAT ) V5( REAL ) Function-like non empty V28() V35(2) FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
<*1*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
<*0*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,0] is set
{1,0} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{{1,0},{1}} is non empty V28() V32() set
{[1,0]} is non empty trivial V28() V35(1) set
K108(<*1*>,<*0*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(1,1)) FinSequence-like FinSubsequence-like set
K433(1,1) is non empty ordinal natural V28() V33() V90() real V92() V93() ext-real positive non negative V168() V169() V170() V171() V172() V173() Element of NAT
(2,2) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(2 |-> 0) +* (2,1) is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
<*0,1*> is V1() V4( NAT ) V5( REAL ) Function-like non empty V28() V35(2) FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
K108(<*0*>,<*1*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(1,1)) FinSequence-like FinSubsequence-like set
(3,1) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
3 |-> 0 is V1() empty-yielding V4( NAT ) V5( REAL ) Function-like V28() V35(3) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of 3 -tuples_on REAL
3 -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(3 |-> 0) +* (1,1) is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
<*1,0,0*> is V1() V4( NAT ) V5( REAL ) Function-like non empty V28() V35(3) FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
K108(K108(<*1*>,<*0*>),<*0*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(K433(1,1),1)) FinSequence-like FinSubsequence-like set
K433(K433(1,1),1) is non empty ordinal natural V28() V33() V90() real V92() V93() ext-real positive non negative V168() V169() V170() V171() V172() V173() Element of NAT
(3,2) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(3 |-> 0) +* (2,1) is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
<*0,1,0*> is V1() V4( NAT ) V5( REAL ) Function-like non empty V28() V35(3) FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
K108(K108(<*0*>,<*1*>),<*0*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(K433(1,1),1)) FinSequence-like FinSubsequence-like set
(3,3) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(3 |-> 0) +* (3,1) is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
<*0,0,1*> is V1() V4( NAT ) V5( REAL ) Function-like non empty V28() V35(3) FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
K108(<*0*>,<*0*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(1,1)) FinSequence-like FinSubsequence-like set
K108(K108(<*0*>,<*0*>),<*1*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(K433(1,1),1)) FinSequence-like FinSubsequence-like set
<*0*> is V1() V4( NAT ) V5( REAL ) Function-like one-to-one non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like complex-yielding V159() V160() V162() V163() V164() V165() Element of 1 -tuples_on REAL
Replace (<*0*>,1,1) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
<*0,0*> is V1() V4( NAT ) V5( REAL ) Function-like non empty V28() V35(2) FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
Replace (<*0,0*>,1,1) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
Replace (<*0,0*>,2,1) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
<*0,0,0*> is V1() V4( NAT ) V5( REAL ) Function-like non empty V28() V35(3) FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
K108(K108(<*0*>,<*0*>),<*0*>) is V1() V4( NAT ) Function-like non empty V28() V35(K433(K433(1,1),1)) FinSequence-like FinSubsequence-like set
Replace (<*0,0,0*>,1,1) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
Replace (<*0,0,0*>,2,1) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
Replace (<*0,0,0*>,3,1) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
n is ordinal natural V28() V33() ext-real non negative set
A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of A,A, REAL
1. (F_Real,A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of A,A, the U1 of F_Real
MXF2MXR (1. (F_Real,A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(A) . n is FinSequence-like set
(A,n) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
A |-> 0 is V1() empty-yielding V4( NAT ) V5( REAL ) Function-like V28() V35(A) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of A -tuples_on REAL
A -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(A |-> 0) +* (n,1) is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
Seg A is V28() V35(A) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= A ) } is set
[n,1] is set
{n,1} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{n} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{n,1},{n}} is non empty V28() V32() set
[:(Seg A),(Seg A):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Indices (1. (F_Real,A)) is set
dom (1. (F_Real,A)) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
width (1. (F_Real,A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width (1. (F_Real,A))) is V28() V35( width (1. (F_Real,A))) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (1. (F_Real,A)) ) } is set
[:(dom (1. (F_Real,A))),(Seg (width (1. (F_Real,A)))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
(A) * (n,1) is V90() real ext-real Element of REAL
y is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
y . 1 is V90() real ext-real set
len (A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
dom (A) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
rng (A) is V28() set
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is ordinal natural V28() V33() ext-real non negative set
y . x0 is V90() real ext-real set
(A,n) . x0 is V90() real ext-real set
[n,x0] is set
{n,x0} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{{n,x0},{n}} is non empty V28() V32() set
(A) * (n,x0) is V90() real ext-real Element of REAL
(1. (F_Real,A)) * (n,n) is V90() real ext-real Element of the U1 of F_Real
1_ F_Real is V90() real ext-real Element of the U1 of F_Real
1. F_Real is V47( F_Real ) V90() real ext-real Element of the U1 of F_Real
the U3 of F_Real is V90() real ext-real Element of the U1 of F_Real
B is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
B . x0 is V90() real ext-real set
(1. (F_Real,A)) * (n,x0) is V90() real ext-real Element of the U1 of F_Real
0. F_Real is V47( F_Real ) V90() real ext-real Element of the U1 of F_Real
the U2 of F_Real is V90() real ext-real Element of the U1 of F_Real
B is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
B . x0 is V90() real ext-real set
len (A,n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,y,A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF y) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,A,y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(MXR2MXF A) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,x0,A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF x0 is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF x0) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF x0) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,A,x0) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(MXR2MXF A) * (MXR2MXF x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF x0)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n,(n,x0,A),y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n,x0,A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n,x0,A)) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,x0,A)) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,x0,(n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF x0) * (MXR2MXF (n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF x0) * (MXR2MXF (n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n),(n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n)) * (MXR2MXF (n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n)) * (MXR2MXF (n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular (n) Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,(n),(n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n)) * (MXR2MXF (n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n)) * (MXR2MXF (n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular (n) Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,y,A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF y) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,A,x0) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF x0 is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF x0)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n,y,A),x0) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n,y,A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n,y,A)) * (MXR2MXF x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,y,A)) * (MXR2MXF x0)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,y,(n,A,x0)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n,A,x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF y) * (MXR2MXF (n,A,x0)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF (n,A,x0))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,(n,A)) is V90() real ext-real Element of REAL
(n,(n,A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
Det (n,(n,A)) is V90() real ext-real Element of the U1 of F_Real
(n,A) is V90() real ext-real Element of REAL
(n,A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
Det (n,A) is V90() real ext-real Element of the U1 of F_Real
(n,A) " is V90() real ext-real Element of REAL
(n,A,(n,A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (n,A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF (n,A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (n,A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular (n) Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n,A,(n,A))) is V90() real ext-real Element of REAL
(n,(n,A,(n,A))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
Det (n,(n,A,(n,A))) is V90() real ext-real Element of the U1 of F_Real
(n,A) * (n,(n,A)) is V90() real ext-real Element of REAL
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,A) is V90() real ext-real Element of REAL
(n,A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
Det (n,A) is V90() real ext-real Element of the U1 of F_Real
(n,A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,A,(n,A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (n,A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF (n,A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (n,A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular (n) Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n,A,(n,A))) is V90() real ext-real Element of REAL
(n,(n,A,(n,A))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
Det (n,(n,A,(n,A))) is V90() real ext-real Element of the U1 of F_Real
(n,(n,A)) is V90() real ext-real Element of REAL
(n,(n,A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
Det (n,(n,A)) is V90() real ext-real Element of the U1 of F_Real
(n,A) * (n,(n,A)) is V90() real ext-real Element of REAL
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,A,y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n,A,y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,(n,y),(n,A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n,y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (n,A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n,y)) * (MXR2MXF (n,A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,y)) * (MXR2MXF (n,A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n,(n,y),(n,A)),(n,A,y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n,(n,y),(n,A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (n,A,y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n,(n,y),(n,A))) * (MXR2MXF (n,A,y)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,(n,y),(n,A))) * (MXR2MXF (n,A,y))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n,(n,y),(n,A)),A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(MXR2MXF (n,(n,y),(n,A))) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,(n,y),(n,A))) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n,(n,(n,y),(n,A)),A),y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n,(n,(n,y),(n,A)),A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n,(n,(n,y),(n,A)),A)) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,(n,(n,y),(n,A)),A)) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n,A),A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(MXR2MXF (n,A)) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,A)) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n,y),(n,(n,A),A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n,(n,A),A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n,y)) * (MXR2MXF (n,(n,A),A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,y)) * (MXR2MXF (n,(n,A),A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n,(n,y),(n,(n,A),A)),y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n,(n,y),(n,(n,A),A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n,(n,y),(n,(n,A),A))) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,(n,y),(n,(n,A),A))) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular (n) Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n,y),(n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n,y)) * (MXR2MXF (n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,y)) * (MXR2MXF (n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n,(n,y),(n)),y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n,(n,y),(n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n,(n,y),(n))) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,(n,y),(n))) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n,y),y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(MXR2MXF (n,y)) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,y)) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n,A,y),(n,(n,y),(n,A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(MXR2MXF (n,A,y)) * (MXR2MXF (n,(n,y),(n,A))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,A,y)) * (MXR2MXF (n,(n,y),(n,A)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,y,(n,(n,y),(n,A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(MXR2MXF y) * (MXR2MXF (n,(n,y),(n,A))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF (n,(n,y),(n,A)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,A,(n,y,(n,(n,y),(n,A)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n,y,(n,(n,y),(n,A))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF (n,y,(n,(n,y),(n,A)))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (n,y,(n,(n,y),(n,A))))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,y,(n,y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(MXR2MXF y) * (MXR2MXF (n,y)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF (n,y))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n,y,(n,y)),(n,A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n,y,(n,y)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n,y,(n,y))) * (MXR2MXF (n,A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,y,(n,y))) * (MXR2MXF (n,A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,A,(n,(n,y,(n,y)),(n,A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n,(n,y,(n,y)),(n,A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF (n,(n,y,(n,y)),(n,A))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (n,(n,y,(n,y)),(n,A)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n),(n,A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(MXR2MXF (n)) * (MXR2MXF (n,A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n)) * (MXR2MXF (n,A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,A,(n,(n),(n,A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n,(n),(n,A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF (n,(n),(n,A))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (n,(n),(n,A)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,A,(n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(MXR2MXF A) * (MXR2MXF (n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n,A,(n)),(n,A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n,A,(n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n,A,(n))) * (MXR2MXF (n,A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,A,(n))) * (MXR2MXF (n,A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,A,(n,A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(MXR2MXF A) * (MXR2MXF (n,A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (n,A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,(n,A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,(n,A),A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF (n,A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n,A)) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,A)) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular (n) Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,A,(n,A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(MXR2MXF A) * (MXR2MXF (n,A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (n,A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(0) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular ( 0 ) Matrix of 0 , 0 , REAL
1. (F_Real,0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of 0 , 0 , the U1 of F_Real
MXF2MXR (1. (F_Real,0)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(0) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of 0 , 0 , REAL
0_Rmatrix (0,0) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
0. (F_Real,0,0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of 0 , 0 , the U1 of F_Real
MXF2MXR (0. (F_Real,0,0)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
len (0) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (0) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular (n) Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n) * (ColVec2Mx A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (ColVec2Mx A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n)) * (MXR2MXF (ColVec2Mx A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n)) * (MXR2MXF (ColVec2Mx A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col (((n) * (ColVec2Mx A)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len ((n) * (ColVec2Mx A))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len ((n) * (ColVec2Mx A))) -tuples_on REAL
len ((n) * (ColVec2Mx A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len ((n) * (ColVec2Mx A))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
len (ColVec2Mx A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Col ((ColVec2Mx A),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (ColVec2Mx A)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (ColVec2Mx A)) -tuples_on REAL
(len (ColVec2Mx A)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
len (Col ((ColVec2Mx A),1)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is ordinal natural V28() V33() ext-real non negative set
(Col ((ColVec2Mx A),1)) . y is V90() real ext-real set
A . y is V90() real ext-real set
Seg (len (ColVec2Mx A)) is V28() V35( len (ColVec2Mx A)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len (ColVec2Mx A) ) } is set
dom (ColVec2Mx A) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
(ColVec2Mx A) * (y,1) is V90() real ext-real Element of REAL
Seg 1 is non empty trivial V28() V35(1) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= 1 ) } is set
Indices (ColVec2Mx A) is set
width (ColVec2Mx A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width (ColVec2Mx A)) is V28() V35( width (ColVec2Mx A)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (ColVec2Mx A) ) } is set
[:(dom (ColVec2Mx A)),(Seg (width (ColVec2Mx A))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
[:(dom (ColVec2Mx A)),(Seg 1):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
[y,1] is set
{y,1} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{y} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{y,1},{y}} is non empty V28() V32() set
(ColVec2Mx A) . y is FinSequence-like set
x0 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
x0 . 1 is V90() real ext-real set
dom A is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
<*(A . y)*> is V1() V4( NAT ) Function-like non empty trivial V28() V35(1) FinSequence-like FinSubsequence-like set
[1,(A . y)] is set
{1,(A . y)} is non empty V28() V168() V169() V170() set
{{1,(A . y)},{1}} is non empty V28() V32() set
{[1,(A . y)]} is non empty trivial V28() V35(1) set
MXF2MXR (MXR2MXF (ColVec2Mx A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((MXF2MXR (MXR2MXF (ColVec2Mx A))),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (MXF2MXR (MXR2MXF (ColVec2Mx A)))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (MXF2MXR (MXR2MXF (ColVec2Mx A)))) -tuples_on REAL
len (MXF2MXR (MXR2MXF (ColVec2Mx A))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (MXF2MXR (MXR2MXF (ColVec2Mx A)))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
x0 * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
x0 * (ColVec2Mx A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF x0 is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (ColVec2Mx A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF x0) * (MXR2MXF (ColVec2Mx A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF x0) * (MXR2MXF (ColVec2Mx A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((x0 * (ColVec2Mx A)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (x0 * (ColVec2Mx A))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (x0 * (ColVec2Mx A))) -tuples_on REAL
len (x0 * (ColVec2Mx A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (x0 * (ColVec2Mx A))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n,x0) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,x0) * y is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,x0) * (ColVec2Mx y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (n,x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (ColVec2Mx y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n,x0)) * (MXR2MXF (ColVec2Mx y)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,x0)) * (MXR2MXF (ColVec2Mx y))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col (((n,x0) * (ColVec2Mx y)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len ((n,x0) * (ColVec2Mx y))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len ((n,x0) * (ColVec2Mx y))) -tuples_on REAL
len ((n,x0) * (ColVec2Mx y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len ((n,x0) * (ColVec2Mx y))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
width x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (n,x0) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular (n) Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n) * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(n) * (ColVec2Mx A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n)) * (MXR2MXF (ColVec2Mx A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n)) * (MXR2MXF (ColVec2Mx A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col (((n) * (ColVec2Mx A)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len ((n) * (ColVec2Mx A))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len ((n) * (ColVec2Mx A))) -tuples_on REAL
len ((n) * (ColVec2Mx A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len ((n) * (ColVec2Mx A))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n,(n,x0),x0) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(MXR2MXF (n,x0)) * (MXR2MXF x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,x0)) * (MXR2MXF x0)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,(n,x0),x0) * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(n,(n,x0),x0) * (ColVec2Mx A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (n,(n,x0),x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n,(n,x0),x0)) * (MXR2MXF (ColVec2Mx A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,(n,x0),x0)) * (MXR2MXF (ColVec2Mx A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col (((n,(n,x0),x0) * (ColVec2Mx A)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len ((n,(n,x0),x0) * (ColVec2Mx A))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len ((n,(n,x0),x0) * (ColVec2Mx A))) -tuples_on REAL
len ((n,(n,x0),x0) * (ColVec2Mx A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len ((n,(n,x0),x0) * (ColVec2Mx A))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
len (n,x0) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular (n) Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n) * y is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(n) * (ColVec2Mx y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n)) * (MXR2MXF (ColVec2Mx y)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n)) * (MXR2MXF (ColVec2Mx y))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col (((n) * (ColVec2Mx y)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len ((n) * (ColVec2Mx y))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len ((n) * (ColVec2Mx y))) -tuples_on REAL
len ((n) * (ColVec2Mx y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len ((n) * (ColVec2Mx y))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n,x0,(n,x0)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(MXR2MXF x0) * (MXR2MXF (n,x0)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF x0) * (MXR2MXF (n,x0))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,x0,(n,x0)) * y is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(n,x0,(n,x0)) * (ColVec2Mx y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (n,x0,(n,x0)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n,x0,(n,x0))) * (MXR2MXF (ColVec2Mx y)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,x0,(n,x0))) * (MXR2MXF (ColVec2Mx y))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col (((n,x0,(n,x0)) * (ColVec2Mx y)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len ((n,x0,(n,x0)) * (ColVec2Mx y))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len ((n,x0,(n,x0)) * (ColVec2Mx y))) -tuples_on REAL
len ((n,x0,(n,x0)) * (ColVec2Mx y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len ((n,x0,(n,x0)) * (ColVec2Mx y))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular (n) Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A * (n) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx A) * (n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx A)) * (MXR2MXF (n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx A)) * (MXR2MXF (n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx A) * (n)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx A) * (n))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx A) * (n))) -tuples_on REAL
width ((LineVec2Mx A) * (n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx A) * (n))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
width (LineVec2Mx A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
MXF2MXR (MXR2MXF (LineVec2Mx A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line ((MXF2MXR (MXR2MXF (LineVec2Mx A))),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width (MXF2MXR (MXR2MXF (LineVec2Mx A)))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width (MXF2MXR (MXR2MXF (LineVec2Mx A)))) -tuples_on REAL
width (MXF2MXR (MXR2MXF (LineVec2Mx A))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width (MXF2MXR (MXR2MXF (LineVec2Mx A)))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
A * x0 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx A) * x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF x0 is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx A)) * (MXR2MXF x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx A)) * (MXR2MXF x0)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx A) * x0),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx A) * x0)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx A) * x0)) -tuples_on REAL
width ((LineVec2Mx A) * x0) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx A) * x0)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n,x0) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
y * (n,x0) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx y) * (n,x0) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (n,x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx y)) * (MXR2MXF (n,x0)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx y)) * (MXR2MXF (n,x0))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx y) * (n,x0)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx y) * (n,x0))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx y) * (n,x0))) -tuples_on REAL
width ((LineVec2Mx y) * (n,x0)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx y) * (n,x0))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
len x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len (n,x0) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular (n) Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A * (n) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(LineVec2Mx A) * (n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx A)) * (MXR2MXF (n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx A)) * (MXR2MXF (n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx A) * (n)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx A) * (n))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx A) * (n))) -tuples_on REAL
width ((LineVec2Mx A) * (n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx A) * (n))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n,x0,(n,x0)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(MXR2MXF x0) * (MXR2MXF (n,x0)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF x0) * (MXR2MXF (n,x0))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A * (n,x0,(n,x0)) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(LineVec2Mx A) * (n,x0,(n,x0)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (n,x0,(n,x0)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx A)) * (MXR2MXF (n,x0,(n,x0))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx A)) * (MXR2MXF (n,x0,(n,x0)))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx A) * (n,x0,(n,x0))),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx A) * (n,x0,(n,x0)))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx A) * (n,x0,(n,x0)))) -tuples_on REAL
width ((LineVec2Mx A) * (n,x0,(n,x0))) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx A) * (n,x0,(n,x0)))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
width (n,x0) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular (n) Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y * (n) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(LineVec2Mx y) * (n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx y)) * (MXR2MXF (n)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx y)) * (MXR2MXF (n))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx y) * (n)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx y) * (n))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx y) * (n))) -tuples_on REAL
width ((LineVec2Mx y) * (n)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx y) * (n))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n,(n,x0),x0) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(MXR2MXF (n,x0)) * (MXR2MXF x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,x0)) * (MXR2MXF x0)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y * (n,(n,x0),x0) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(LineVec2Mx y) * (n,(n,x0),x0) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (n,(n,x0),x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx y)) * (MXR2MXF (n,(n,x0),x0)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx y)) * (MXR2MXF (n,(n,x0),x0))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx y) * (n,(n,x0),x0)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx y) * (n,(n,x0),x0))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx y) * (n,(n,x0),x0))) -tuples_on REAL
width ((LineVec2Mx y) * (n,(n,x0),x0)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx y) * (n,(n,x0),x0))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
y is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n,A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,A) * y is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,A) * (ColVec2Mx y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (n,A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (ColVec2Mx y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (n,A)) * (MXR2MXF (ColVec2Mx y)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (n,A)) * (MXR2MXF (ColVec2Mx y))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col (((n,A) * (ColVec2Mx y)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len ((n,A) * (ColVec2Mx y))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len ((n,A) * (ColVec2Mx y))) -tuples_on REAL
len ((n,A) * (ColVec2Mx y)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len ((n,A) * (ColVec2Mx y))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
len (n,A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (n,A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A * x0 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A * (ColVec2Mx x0) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (ColVec2Mx x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF (ColVec2Mx x0)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (ColVec2Mx x0))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((A * (ColVec2Mx x0)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (A * (ColVec2Mx x0))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (A * (ColVec2Mx x0))) -tuples_on REAL
len (A * (ColVec2Mx x0)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (A * (ColVec2Mx x0))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
y is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n,A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
y * (n,A) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx y) * (n,A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (n,A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx y)) * (MXR2MXF (n,A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx y)) * (MXR2MXF (n,A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx y) * (n,A)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx y) * (n,A))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx y) * (n,A))) -tuples_on REAL
width ((LineVec2Mx y) * (n,A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx y) * (n,A))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
len (n,A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (n,A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx x0) * A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx x0)) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx x0)) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx x0) * A),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx x0) * A)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx x0) * A)) -tuples_on REAL
width ((LineVec2Mx x0) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx x0) * A)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
y is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx y) * A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx y)) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx y)) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx y) * A),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx y) * A)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx y) * A)) -tuples_on REAL
width ((LineVec2Mx y) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx y) * A)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
B is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 . B is V90() real ext-real set
Col (A,B) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len A) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len A) -tuples_on REAL
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len A) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
|(y,(Col (A,B)))| is V90() real ext-real Element of REAL
len (y * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (len (y * A)) is V28() V35( len (y * A)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len (y * A) ) } is set
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular (n) Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
y is ordinal natural V28() V33() ext-real non negative set
(n,y) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
n |-> 0 is V1() empty-yielding V4( NAT ) V5( REAL ) Function-like V28() V35(n) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of n -tuples_on REAL
n -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n |-> 0) +* (y,1) is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
len (n,y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg n is V28() V35(n) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= n ) } is set
y is ordinal natural V28() V33() ext-real non negative set
(n,y) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
n |-> 0 is V1() empty-yielding V4( NAT ) V5( REAL ) Function-like V28() V35(n) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of n -tuples_on REAL
n -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n |-> 0) +* (y,1) is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
x0 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx x0) * A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx x0)) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx x0)) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx x0) * A),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx x0) * A)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx x0) * A)) -tuples_on REAL
width ((LineVec2Mx x0) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx x0) * A)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
B is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of REAL *
i4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
j4 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len j4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
j4 * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx j4 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx j4) * A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx j4) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx j4)) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx j4)) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx j4) * A),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx j4) * A)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx j4) * A)) -tuples_on REAL
width ((LineVec2Mx j4) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx j4) * A)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n,i4) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
(n |-> 0) +* (i4,1) is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like FinSequence of REAL *
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
rng y is V28() set
x0 is set
dom y is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
B is set
y . B is FinSequence-like set
i4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y /. i4 is FinSequence-like Element of REAL *
Seg (len y) is V28() V35( len y) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len y ) } is set
j4 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len j4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
rng x0 is V28() set
B is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len B is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
dom y is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
i4 is set
x0 . i4 is FinSequence-like set
j4 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y /. j4 is FinSequence-like Element of REAL *
Seg (len y) is V28() V35( len y) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= len y ) } is set
i is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
B is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,B,A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF B is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF B) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF B) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Indices (n,B,A) is set
dom (n,B,A) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
width (n,B,A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width (n,B,A)) is V28() V35( width (n,B,A)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (n,B,A) ) } is set
[:(dom (n,B,A)),(Seg (width (n,B,A))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
i4 is ordinal natural V28() V33() ext-real non negative set
j4 is ordinal natural V28() V33() ext-real non negative set
[i4,j4] is set
{i4,j4} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{i4} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{i4,j4},{i4}} is non empty V28() V32() set
(n,B,A) * (i4,j4) is V90() real ext-real Element of REAL
(n) * (i4,j4) is V90() real ext-real Element of REAL
x0 * A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF x0 is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF x0) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF x0) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
rng (x0 * A) is V28() set
n2 is ordinal natural V28() V33() ext-real non negative set
j is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width (x0 * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width (x0 * A)) is V28() V35( width (x0 * A)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (x0 * A) ) } is set
i is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
dom (x0 * A) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
(x0 * A) . i is FinSequence-like set
p2 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len p2 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
len B is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
[i,j] is set
{i,j} is non empty V28() V32() V168() V169() V170() V171() V172() V173() set
{i} is non empty trivial V28() V32() V35(1) V168() V169() V170() V171() V172() V173() set
{{i,j},{i}} is non empty V28() V32() set
[:(Seg n),(Seg n):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
Indices (n) is set
dom (n) is V28() V168() V169() V170() V171() V172() V173() Element of bool NAT
width (n) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
Seg (width (n)) is V28() V35( width (n)) V168() V169() V170() V171() V172() V173() Element of bool NAT
{ b1 where b1 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT : ( 1 <= b1 & b1 <= width (n) ) } is set
[:(dom (n)),(Seg (width (n))):] is V5( INT ) V5( RAT ) V28() complex-yielding V159() V160() V161() set
(n) . i is FinSequence-like set
(n) * (i,j) is V90() real ext-real Element of REAL
len (n,B,A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
rng (n,B,A) is V28() set
g is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len g is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y /. i is FinSequence-like Element of REAL *
g is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
g * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx g is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx g) * A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx g) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx g)) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx g)) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx g) * A),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx g) * A)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx g) * A)) -tuples_on REAL
width ((LineVec2Mx g) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx g) * A)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n,i) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
n |-> 0 is V1() empty-yielding V4( NAT ) V5( REAL ) Function-like V28() V35(n) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of n -tuples_on REAL
n -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n |-> 0) +* (i,1) is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
x0 . i is FinSequence-like set
Line (B,i) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width B) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width B) -tuples_on REAL
width B is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width B) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n,i) . i is V90() real ext-real set
c13 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
c13 . j is V90() real ext-real set
p2 . j is V90() real ext-real set
(n,B,A) * (i,j) is V90() real ext-real Element of REAL
(n,i) . j is V90() real ext-real set
y /. i is FinSequence-like Element of REAL *
x0 . i is FinSequence-like set
g is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
Line (B,i) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width B) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width B) -tuples_on REAL
width B is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width B) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(Line (B,i)) * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx (Line (B,i)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx (Line (B,i))) * A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx (Line (B,i))) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx (Line (B,i)))) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx (Line (B,i)))) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx (Line (B,i))) * A),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx (Line (B,i))) * A)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx (Line (B,i))) * A)) -tuples_on REAL
width ((LineVec2Mx (Line (B,i))) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx (Line (B,i))) * A)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n,i) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
n |-> 0 is V1() empty-yielding V4( NAT ) V5( REAL ) Function-like V28() V35(n) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of n -tuples_on REAL
n -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n |-> 0) +* (i,1) is V1() V4( NAT ) Function-like V28() FinSequence-like FinSubsequence-like set
(n,i) . j is V90() real ext-real set
c13 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
c13 . j is V90() real ext-real set
p2 . j is V90() real ext-real set
(n,B,A) * (i,j) is V90() real ext-real Element of REAL
p2 . j is V90() real ext-real set
p2 . j is V90() real ext-real set
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
y @ is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(y @) * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(y @) * (ColVec2Mx A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (y @) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (ColVec2Mx A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (y @)) * (MXR2MXF (ColVec2Mx A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (y @)) * (MXR2MXF (ColVec2Mx A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col (((y @) * (ColVec2Mx A)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len ((y @) * (ColVec2Mx A))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len ((y @) * (ColVec2Mx A))) -tuples_on REAL
len ((y @) * (ColVec2Mx A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len ((y @) * (ColVec2Mx A))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
A * y is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx A) * y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx A)) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx A)) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx A) * y),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx A) * y)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx A) * y)) -tuples_on REAL
width ((LineVec2Mx A) * y) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx A) * y)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len A is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
y @ is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
A * (y @) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx A) * (y @) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (y @) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx A)) * (MXR2MXF (y @)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx A)) * (MXR2MXF (y @))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx A) * (y @)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx A) * (y @))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx A) * (y @))) -tuples_on REAL
width ((LineVec2Mx A) * (y @)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx A) * (y @))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
y * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y * (ColVec2Mx A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (ColVec2Mx A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF y) * (MXR2MXF (ColVec2Mx A)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF (ColVec2Mx A))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((y * (ColVec2Mx A)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (y * (ColVec2Mx A))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (y * (ColVec2Mx A))) -tuples_on REAL
len (y * (ColVec2Mx A)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (y * (ColVec2Mx A))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
width y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular (n) Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
A @ is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
y is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A * x0 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A * (ColVec2Mx x0) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (ColVec2Mx x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF (ColVec2Mx x0)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (ColVec2Mx x0))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((A * (ColVec2Mx x0)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (A * (ColVec2Mx x0))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (A * (ColVec2Mx x0))) -tuples_on REAL
len (A * (ColVec2Mx x0)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (A * (ColVec2Mx x0))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
x0 * (A @) is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx x0) * (A @) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (A @) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx x0)) * (MXR2MXF (A @)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx x0)) * (MXR2MXF (A @))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx x0) * (A @)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx x0) * (A @))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx x0) * (A @))) -tuples_on REAL
width ((LineVec2Mx x0) * (A @)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx x0) * (A @))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,y,(A @)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (A @) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF y) * (MXR2MXF (A @)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF y) * (MXR2MXF (A @))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,y,(A @)) @ is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(A @) @ is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
y @ is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,((A @) @),(y @)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF ((A @) @) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (y @) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF ((A @) @)) * (MXR2MXF (y @)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF ((A @) @)) * (MXR2MXF (y @))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(n,A,(y @)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF (y @)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (y @))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
n is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
y is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
B is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len B is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A * x0 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A * (ColVec2Mx x0) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (ColVec2Mx x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF (ColVec2Mx x0)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (ColVec2Mx x0))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((A * (ColVec2Mx x0)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (A * (ColVec2Mx x0))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (A * (ColVec2Mx x0))) -tuples_on REAL
len (A * (ColVec2Mx x0)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (A * (ColVec2Mx x0))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
B * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx B is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx B) * A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx B) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx B)) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx B)) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx B) * A),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx B) * A)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx B) * A)) -tuples_on REAL
width ((LineVec2Mx B) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx B) * A)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
(n) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular (n) Matrix of n,n, REAL
1. (F_Real,n) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, the U1 of F_Real
MXF2MXR (1. (F_Real,n)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
y is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len y is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
x0 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len x0 is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
B is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
len B is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
A * x0 is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
ColVec2Mx x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
A * (ColVec2Mx x0) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF (ColVec2Mx x0) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF (ColVec2Mx x0)) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF (ColVec2Mx x0))) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Col ((A * (ColVec2Mx x0)),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( len (A * (ColVec2Mx x0))) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (len (A * (ColVec2Mx x0))) -tuples_on REAL
len (A * (ColVec2Mx x0)) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(len (A * (ColVec2Mx x0))) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
B * A is V1() V4( NAT ) V5( REAL ) Function-like V28() FinSequence-like FinSubsequence-like complex-yielding V159() V160() FinSequence of REAL
LineVec2Mx B is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
(LineVec2Mx B) * A is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
MXR2MXF (LineVec2Mx B) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF (LineVec2Mx B)) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF (LineVec2Mx B)) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
Line (((LineVec2Mx B) * A),1) is V1() V4( NAT ) V5( REAL ) Function-like V28() V35( width ((LineVec2Mx B) * A)) FinSequence-like FinSubsequence-like complex-yielding V159() V160() Element of (width ((LineVec2Mx B) * A)) -tuples_on REAL
width ((LineVec2Mx B) * A) is ordinal natural V28() V33() V90() real V92() V93() ext-real non negative V168() V169() V170() V171() V172() V173() Element of NAT
(width ((LineVec2Mx B) * A)) -tuples_on REAL is functional non empty FinSequence-membered FinSequenceSet of REAL
y is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,A,y) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF A is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXR2MXF y is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF A) * (MXR2MXF y) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF A) * (MXR2MXF y)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *
x0 is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
(n,x0,A) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular Matrix of n,n, REAL
MXR2MXF x0 is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
(MXR2MXF x0) * (MXR2MXF A) is V1() V4( NAT ) V5( the U1 of F_Real * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of the U1 of F_Real *
MXF2MXR ((MXR2MXF x0) * (MXR2MXF A)) is V1() V4( NAT ) V5(REAL * ) Function-like V28() FinSequence-like FinSubsequence-like tabular FinSequence of REAL *