REAL is set
NAT is non empty non trivial epsilon-transitive epsilon-connected ordinal non finite cardinal limit_cardinal Element of K15(REAL)
K15(REAL) is non empty set
omega is non empty non trivial epsilon-transitive epsilon-connected ordinal non finite cardinal limit_cardinal set
K15(omega) is non empty non trivial non finite set
K15(NAT) is non empty non trivial non finite set
COMPLEX is set
RAT is set
INT is set
{} is ext-real non positive non negative empty Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural finite finite-yielding V31() cardinal {} -element co-well_founded weakly-normalizing strongly-normalizing with_UN_property with_NF_property subcommutative confluent with_Church-Rosser_property locally-confluent complete V52() V53() irreflexive complex V240() V241() V242() V243() FinSequence-yielding finite-support Function-yielding set
2 is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
K16(NAT,NAT) is non empty non trivial Relation-like non finite set
K15(K16(NAT,NAT)) is non empty non trivial non finite set
K16(NAT,REAL) is Relation-like set
K15(K16(NAT,REAL)) is non empty set
1 is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
0 is ext-real non positive non negative empty Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural finite finite-yielding V31() cardinal {} -element co-well_founded weakly-normalizing strongly-normalizing with_UN_property with_NF_property subcommutative confluent with_Church-Rosser_property locally-confluent complete V52() V53() irreflexive complex V240() V241() V242() V243() FinSequence-yielding finite-support Function-yielding Element of NAT
card {} is ext-real non positive non negative empty Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural finite finite-yielding V31() cardinal {} -element co-well_founded weakly-normalizing strongly-normalizing with_UN_property with_NF_property subcommutative confluent with_Church-Rosser_property locally-confluent complete V52() V53() irreflexive complex V240() V241() V242() V243() FinSequence-yielding finite-support Function-yielding set
n is set
T is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
L is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
T + L is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(T + L) / L is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
L + ((T + L) / L) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(L + ((T + L) / L)) -' L is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
G is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
g1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
L + g1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
G + g1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
[L,G] is V24() set
{L,G} is non empty functional finite set
{L} is non empty trivial functional finite 1 -element set
{{L,G},{L}} is non empty finite V31() set
[(L + g1),(G + g1)] is V24() set
{(L + g1),(G + g1)} is non empty functional finite set
{(L + g1)} is non empty trivial functional finite 1 -element set
{{(L + g1),(G + g1)},{(L + g1)}} is non empty finite V31() set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric transitive Element of K15(K16((Bags n),(Bags n)))
L is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
G is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
g1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
G is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
g1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
L + g1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
G + g1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(L + g1) -' g1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
[L,G] is V24() set
{L,G} is non empty functional finite set
{L} is non empty trivial functional finite 1 -element set
{{L,G},{L}} is non empty finite V31() set
[(L + g1),(G + g1)] is V24() set
{(L + g1),(G + g1)} is non empty functional finite set
{(L + g1)} is non empty trivial functional finite 1 -element set
{{(L + g1),(G + g1)},{(L + g1)}} is non empty finite V31() set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
G is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
g1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
g2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
L + g1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
G + g2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
[L,G] is V24() set
{L,G} is non empty functional finite set
{L} is non empty trivial functional finite 1 -element set
{{L,G},{L}} is non empty finite V31() set
G + g1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
[(L + g1),(G + g1)] is V24() set
{(L + g1),(G + g1)} is non empty functional finite set
{(L + g1)} is non empty trivial functional finite 1 -element set
{{(L + g1),(G + g1)},{(L + g1)}} is non empty finite V31() set
[g1,g2] is V24() set
{g1,g2} is non empty functional finite set
{g1} is non empty trivial functional finite 1 -element set
{{g1,g2},{g1}} is non empty finite V31() set
[(G + g1),(G + g2)] is V24() set
{(G + g1),(G + g2)} is non empty functional finite set
{(G + g1)} is non empty trivial functional finite 1 -element set
{{(G + g1),(G + g2)},{(G + g1)}} is non empty finite V31() set
L + g2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(L + g2) -' g2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(G + g2) -' g2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
g2 + G is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(g2 + G) -' G is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
g1 + G is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(g1 + G) -' G is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
G is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
g1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
g2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
L + g1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
G + g2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
[g1,g2] is V24() set
{g1,g2} is non empty functional finite set
{g1} is non empty trivial functional finite 1 -element set
{{g1,g2},{g1}} is non empty finite V31() set
G + g1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
[(G + g1),(G + g2)] is V24() set
{(G + g1),(G + g2)} is non empty functional finite set
{(G + g1)} is non empty trivial functional finite 1 -element set
{{(G + g1),(G + g2)},{(G + g1)}} is non empty finite V31() set
[L,G] is V24() set
{L,G} is non empty functional finite set
{L} is non empty trivial functional finite 1 -element set
{{L,G},{L}} is non empty finite V31() set
[(L + g1),(G + g1)] is V24() set
{(L + g1),(G + g1)} is non empty functional finite set
{(L + g1)} is non empty trivial functional finite 1 -element set
{{(L + g1),(G + g1)},{(L + g1)}} is non empty finite V31() set
g2 + G is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(g2 + G) -' G is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
g1 + G is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(g1 + G) -' G is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
T is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable V105() right-distributive left-distributive right_unital well-unital distributive left_unital add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of T is non empty non trivial set
K16((Bags n), the carrier of T) is non empty Relation-like set
K15(K16((Bags n), the carrier of T)) is non empty set
L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support non-zero monomial-like Element of K15(K16((Bags n), the carrier of T))
G is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support non-zero monomial-like Element of K15(K16((Bags n), the carrier of T))
L *' G is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support non-zero monomial-like Element of K15(K16((Bags n), the carrier of T))
term (L *' G) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
term L is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
term G is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(term L) + (term G) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
the Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n))) is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
HC (G, the Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))) is non zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
0. T is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
the ZeroF of T is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
HC (L, the Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))) is non zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
coefficient L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
coefficient G is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
g2 is non zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
h is non zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
g2 * h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
Monom (g2,(term L)) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support monomial-like Element of K15(K16((Bags n), the carrier of T))
Monom (h,(term G)) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support monomial-like Element of K15(K16((Bags n), the carrier of T))
h is non zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
Monom (h,((term L) + (term G))) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support monomial-like Element of K15(K16((Bags n), the carrier of T))
term (Monom (h,((term L) + (term G)))) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
T is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable V105() right-distributive left-distributive right_unital well-unital distributive left_unital add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of T is non empty non trivial set
K16((Bags n), the carrier of T) is non empty Relation-like set
K15(K16((Bags n), the carrier of T)) is non empty set
L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
Support L is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support non-zero monomial-like Element of K15(K16((Bags n), the carrier of T))
term G is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
G *' L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
Support (G *' L) is functional finite Element of K15((Bags n))
g1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(term G) + g1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(G *' L) . ((term G) + g1) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
G . (term G) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
L . g1 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
(G . (term G)) * (L . g1) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
0_ (n,T) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of T))
Support G is functional finite Element of K15((Bags n))
{(term G)} is non empty trivial functional finite 1 -element set
0. T is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
the ZeroF of T is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
T is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable V105() right-distributive left-distributive right_unital well-unital distributive left_unital add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of T is non empty non trivial set
K16((Bags n), the carrier of T) is non empty Relation-like set
K15(K16((Bags n), the carrier of T)) is non empty set
L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
Support L is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support non-zero monomial-like Element of K15(K16((Bags n), the carrier of T))
G *' L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
Support (G *' L) is functional finite Element of K15((Bags n))
term G is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
{ ((term G) + b1) where b1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n : b1 in Support L } is set
0_ (n,T) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of T))
Support G is functional finite Element of K15((Bags n))
{(term G)} is non empty trivial functional finite 1 -element set
{ (b1 + b2) where b1, b2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n : ( b1 in Support G & b2 in Support L ) } is set
g1 is set
g2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
h + h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(term G) + h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
g1 is set
g2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(term G) + g2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
T is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable V105() right-distributive left-distributive right_unital well-unital distributive left_unital add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of T is non empty non trivial set
K16((Bags n), the carrier of T) is non empty Relation-like set
K15(K16((Bags n), the carrier of T)) is non empty set
L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
Support L is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support L) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
G is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support non-zero monomial-like Element of K15(K16((Bags n), the carrier of T))
G *' L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
Support (G *' L) is functional finite Element of K15((Bags n))
card (Support (G *' L)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
term G is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
the Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n))) is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))
0_ (n,T) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of T))
Support G is functional finite Element of K15((Bags n))
{(term G)} is non empty trivial functional finite 1 -element set
g2 is set
In (g2,(Bags n)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(In (g2,(Bags n))) @ is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(term G) + ((In (g2,(Bags n))) @) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
In (h,(Bags n)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(In (h,(Bags n))) @ is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(term G) + h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
K16((Support L),(Support (G *' L))) is Relation-like finite set
K15(K16((Support L),(Support (G *' L)))) is non empty finite V31() set
g2 is Relation-like Support L -defined Support (G *' L) -valued Function-like finite V49( Support L, Support (G *' L)) finite-support Element of K15(K16((Support L),(Support (G *' L))))
HT (G, the Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
h is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support non-zero Element of K15(K16((Bags n), the carrier of T))
HT (h, the Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(HT (G, the Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n))))) + (HT (h, the Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n))))) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
G *' h is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support non-zero Element of K15(K16((Bags n), the carrier of T))
Support (G *' h) is functional finite Element of K15((Bags n))
dom g2 is functional finite Element of K15((Support L))
K15((Support L)) is non empty finite V31() set
{ (b1 + b2) where b1, b2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n : ( b1 in Support G & b2 in Support L ) } is set
h is set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
rp2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
rp2 + m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
In (m,(Bags n)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(In (m,(Bags n))) @ is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(term G) + m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
g2 . m is Relation-like Function-like set
g2 .: (Support L) is functional finite Element of K15((Support (G *' L)))
K15((Support (G *' L))) is non empty finite V31() set
h is set
h is set
g2 . h is Relation-like Function-like set
g2 . h is Relation-like Function-like set
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
In (m,(Bags n)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(In (m,(Bags n))) @ is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
rp2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
In (rp2,(Bags n)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(In (rp2,(Bags n))) @ is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(term G) + rp2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
g2 . m is Relation-like Function-like set
(term G) + m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
m + (term G) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(m + (term G)) -' (term G) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
h is set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable almost_left_invertible V105() associative commutative right-distributive left-distributive right_unital well-unital distributive left_unital add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
Polynom-Ring (n,L) is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable strict add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of (Polynom-Ring (n,L)) is non empty set
K15( the carrier of (Polynom-Ring (n,L))) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g1 is set
g2 is Element of K15( the carrier of (Polynom-Ring (n,L)))
PolyRedRel (g2,T) is Relation-like NonZero (Polynom-Ring (n,L)) -defined the carrier of (Polynom-Ring (n,L)) -valued Element of K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))))
NonZero (Polynom-Ring (n,L)) is Element of K15( the carrier of (Polynom-Ring (n,L)))
[#] (Polynom-Ring (n,L)) is non empty non proper Element of K15( the carrier of (Polynom-Ring (n,L)))
0. (Polynom-Ring (n,L)) is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
the ZeroF of (Polynom-Ring (n,L)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
{(0. (Polynom-Ring (n,L)))} is non empty trivial finite 1 -element set
([#] (Polynom-Ring (n,L))) \ {(0. (Polynom-Ring (n,L)))} is Element of K15( the carrier of (Polynom-Ring (n,L)))
K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))) is Relation-like set
K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L)))) is non empty set
h is non empty Relation-like Function-like FinSequence-like RedSequence of PolyRedRel (g2,T)
h . 1 is set
len h is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
h . (len h) is set
(len h) - 1 is ext-real V52() V53() complex set
rp2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
h . rp2 is set
rp2 + 1 is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
dom h is non empty Element of K15(NAT)
0 + 1 is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
[(h . rp2),g1] is V24() set
{(h . rp2),g1} is non empty finite set
{(h . rp2)} is non empty trivial finite 1 -element set
{{(h . rp2),g1},{(h . rp2)}} is non empty finite V31() set
m is set
m9 is set
[m,m9] is V24() set
{m,m9} is non empty finite set
{m} is non empty trivial finite 1 -element set
{{m,m9},{m}} is non empty finite V31() set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty non trivial set
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
Red ((0_ (n,L)),T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HM ((0_ (n,L)),T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Element of K15(K16((Bags n), the carrier of L))
HC ((HM ((0_ (n,L)),T)),T) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
HC ((0_ (n,L)),T) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
HT ((0_ (n,L)),T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(0_ (n,L)) . (HT ((0_ (n,L)),T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(0_ (n,L)) - (0_ (n,L)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
T is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable V105() commutative right-distributive left-distributive right_unital well-unital distributive left_unital Abelian add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of T is non empty non trivial set
K16((Bags n), the carrier of T) is non empty Relation-like set
K15(K16((Bags n), the carrier of T)) is non empty set
0_ (n,T) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of T))
L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
G is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
L - G is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
G + (L - G) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
- G is non empty Relation-like Bags n -defined Bags n -defined the carrier of T -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of T) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
L + (- G) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
G + (L + (- G)) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
G + (- G) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
(G + (- G)) + L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
(0_ (n,T)) + L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
n is set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
T is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of T is non empty set
0_ (n,T) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of T))
K16((Bags n), the carrier of T) is non empty Relation-like set
K15(K16((Bags n), the carrier of T)) is non empty set
- (0_ (n,T)) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) Element of K15(K16((Bags n), the carrier of T))
g1 is set
dom (- (0_ (n,T))) is non empty functional Element of K15((Bags n))
K15((Bags n)) is non empty set
g2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(- (0_ (n,T))) . g2 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
(0_ (n,T)) . g2 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
- ((0_ (n,T)) . g2) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
0. T is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
the ZeroF of T is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
- (0. T) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
(- (0_ (n,T))) . g1 is set
(0_ (n,T)) . g1 is set
dom (0_ (n,T)) is non empty functional Element of K15((Bags n))
n is set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
T is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of T is non empty set
K16((Bags n), the carrier of T) is non empty Relation-like set
K15(K16((Bags n), the carrier of T)) is non empty set
0_ (n,T) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of T))
L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) Element of K15(K16((Bags n), the carrier of T))
(0_ (n,T)) - L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) Element of K15(K16((Bags n), the carrier of T))
- L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) Element of K15(K16((Bags n), the carrier of T))
g1 is set
dom ((0_ (n,T)) - L) is non empty functional Element of K15((Bags n))
K15((Bags n)) is non empty set
g2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
((0_ (n,T)) - L) . g2 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
(0_ (n,T)) + (- L) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) Element of K15(K16((Bags n), the carrier of T))
((0_ (n,T)) + (- L)) . g2 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
(0_ (n,T)) . g2 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
(- L) . g2 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
((0_ (n,T)) . g2) + ((- L) . g2) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
0. T is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
the ZeroF of T is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
(0. T) + ((- L) . g2) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of T
((0_ (n,T)) - L) . g1 is set
(- L) . g1 is set
dom (- L) is non empty functional Element of K15((Bags n))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Red (G,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
G - (Red (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HM (G,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) + (Red (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (G,T)) + (Red (G,T))) - (Red (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- (Red (G,T)) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (G,T)) + (Red (G,T))) + (- (Red (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (G,T)) + (- (Red (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) + ((Red (G,T)) + (- (Red (G,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) + (0_ (n,L)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
T is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of T is non empty set
K16((Bags n), the carrier of T) is non empty Relation-like set
K15(K16((Bags n), the carrier of T)) is non empty set
L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
Support L is functional Element of K15((Bags n))
K15((Bags n)) is non empty set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
T is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable V105() right-distributive left-distributive right_unital well-unital distributive left_unital add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of T is non empty non trivial set
K16((Bags n), the carrier of T) is non empty Relation-like set
K15(K16((Bags n), the carrier of T)) is non empty set
L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
G is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
{L,G} is non empty functional finite set
Polynom-Ring (n,T) is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable strict add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of (Polynom-Ring (n,T)) is non empty set
K15( the carrier of (Polynom-Ring (n,T))) is non empty set
g1 is set
n is set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
T is non empty ZeroStr
the carrier of T is non empty set
K16((Bags n), the carrier of T) is non empty Relation-like set
K15(K16((Bags n), the carrier of T)) is non empty set
K15((Bags n)) is non empty set
L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) Element of K15(K16((Bags n), the carrier of T))
Support L is functional Element of K15((Bags n))
G is functional Element of K15((Bags n))
(Support L) \ G is set
0. T is zero Element of the carrier of T
the ZeroF of T is Element of the carrier of T
((Support L) \ G) --> (0. T) is Relation-like (Support L) \ G -defined the carrier of T -valued Function-like V48((Support L) \ G) V49((Support L) \ G, the carrier of T) Element of K15(K16(((Support L) \ G), the carrier of T))
K16(((Support L) \ G), the carrier of T) is Relation-like set
K15(K16(((Support L) \ G), the carrier of T)) is non empty set
L +* (((Support L) \ G) --> (0. T)) is non empty Relation-like the carrier of T -valued Function-like set
h is set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
dom (((Support L) \ G) --> (0. T)) is Element of K15(((Support L) \ G))
K15(((Support L) \ G)) is non empty set
(L +* (((Support L) \ G) --> (0. T))) . h is set
(((Support L) \ G) --> (0. T)) . h is set
(L +* (((Support L) \ G) --> (0. T))) . h is set
dom (((Support L) \ G) --> (0. T)) is Element of K15(((Support L) \ G))
K15(((Support L) \ G)) is non empty set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(L +* (((Support L) \ G) --> (0. T))) . h is set
L . h is Element of the carrier of T
(L +* (((Support L) \ G) --> (0. T))) . h is set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
dom (((Support L) \ G) --> (0. T)) is Element of K15(((Support L) \ G))
K15(((Support L) \ G)) is non empty set
(L +* (((Support L) \ G) --> (0. T))) . h is set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
dom (((Support L) \ G) --> (0. T)) is Element of K15(((Support L) \ G))
K15(((Support L) \ G)) is non empty set
(L +* (((Support L) \ G) --> (0. T))) . h is set
h is set
dom L is non empty functional Element of K15((Bags n))
dom (L +* (((Support L) \ G) --> (0. T))) is non empty set
(Bags n) \/ ((Support L) \ G) is non empty set
n is set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K15((Bags n)) is non empty set
T is non empty ZeroStr
the carrier of T is non empty set
K16((Bags n), the carrier of T) is non empty Relation-like set
K15(K16((Bags n), the carrier of T)) is non empty set
L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) Element of K15(K16((Bags n), the carrier of T))
Support L is functional Element of K15((Bags n))
G is functional Element of K15((Bags n))
(n,T,L,G) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) Element of K15(K16((Bags n), the carrier of T))
(Support L) \ G is set
0. T is zero Element of the carrier of T
the ZeroF of T is Element of the carrier of T
((Support L) \ G) --> (0. T) is Relation-like (Support L) \ G -defined the carrier of T -valued Function-like V48((Support L) \ G) V49((Support L) \ G, the carrier of T) Element of K15(K16(((Support L) \ G), the carrier of T))
K16(((Support L) \ G), the carrier of T) is Relation-like set
K15(K16(((Support L) \ G), the carrier of T)) is non empty set
L +* (((Support L) \ G) --> (0. T)) is non empty Relation-like the carrier of T -valued Function-like set
Support (n,T,L,G) is functional Element of K15((Bags n))
h is set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(L +* (((Support L) \ G) --> (0. T))) . h is set
dom (((Support L) \ G) --> (0. T)) is Element of K15(((Support L) \ G))
K15(((Support L) \ G)) is non empty set
dom (((Support L) \ G) --> (0. T)) is Element of K15(((Support L) \ G))
K15(((Support L) \ G)) is non empty set
L . h is Element of the carrier of T
dom (((Support L) \ G) --> (0. T)) is Element of K15(((Support L) \ G))
K15(((Support L) \ G)) is non empty set
L . h is Element of the carrier of T
dom (((Support L) \ G) --> (0. T)) is Element of K15(((Support L) \ G))
K15(((Support L) \ G)) is non empty set
L . h is Element of the carrier of T
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
T is non empty ZeroStr
the carrier of T is non empty set
K16((Bags n), the carrier of T) is non empty Relation-like set
K15(K16((Bags n), the carrier of T)) is non empty set
K15((Bags n)) is non empty set
L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support Element of K15(K16((Bags n), the carrier of T))
G is functional Element of K15((Bags n))
(n,T,L,G) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) Element of K15(K16((Bags n), the carrier of T))
Support L is functional Element of K15((Bags n))
(Support L) \ G is set
0. T is zero Element of the carrier of T
the ZeroF of T is Element of the carrier of T
((Support L) \ G) --> (0. T) is Relation-like (Support L) \ G -defined the carrier of T -valued Function-like V48((Support L) \ G) V49((Support L) \ G, the carrier of T) Element of K15(K16(((Support L) \ G), the carrier of T))
K16(((Support L) \ G), the carrier of T) is Relation-like set
K15(K16(((Support L) \ G), the carrier of T)) is non empty set
L +* (((Support L) \ G) --> (0. T)) is non empty Relation-like the carrier of T -valued Function-like set
Support (n,T,L,G) is functional Element of K15((Bags n))
n is set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K15((Bags n)) is non empty set
T is non empty ZeroStr
the carrier of T is non empty set
K16((Bags n), the carrier of T) is non empty Relation-like set
K15(K16((Bags n), the carrier of T)) is non empty set
L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) Element of K15(K16((Bags n), the carrier of T))
Support L is functional Element of K15((Bags n))
G is functional Element of K15((Bags n))
(n,T,L,G) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) Element of K15(K16((Bags n), the carrier of T))
(Support L) \ G is set
0. T is zero Element of the carrier of T
the ZeroF of T is Element of the carrier of T
((Support L) \ G) --> (0. T) is Relation-like (Support L) \ G -defined the carrier of T -valued Function-like V48((Support L) \ G) V49((Support L) \ G, the carrier of T) Element of K15(K16(((Support L) \ G), the carrier of T))
K16(((Support L) \ G), the carrier of T) is Relation-like set
K15(K16(((Support L) \ G), the carrier of T)) is non empty set
L +* (((Support L) \ G) --> (0. T)) is non empty Relation-like the carrier of T -valued Function-like set
Support (n,T,L,G) is functional Element of K15((Bags n))
(Support L) /\ G is set
h is set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
dom (((Support L) \ G) --> (0. T)) is Element of K15(((Support L) \ G))
K15(((Support L) \ G)) is non empty set
(L +* (((Support L) \ G) --> (0. T))) . h is set
(((Support L) \ G) --> (0. T)) . h is set
L . h is Element of the carrier of T
h is set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(L +* (((Support L) \ G) --> (0. T))) . h is set
L . h is Element of the carrier of T
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(n,T,L,G) . h is Element of the carrier of T
L . h is Element of the carrier of T
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(n,T,L,G) . h is Element of the carrier of T
L . h is Element of the carrier of T
n is set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
T is non empty ZeroStr
the carrier of T is non empty set
K16((Bags n), the carrier of T) is non empty Relation-like set
K15(K16((Bags n), the carrier of T)) is non empty set
K15((Bags n)) is non empty set
L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) Element of K15(K16((Bags n), the carrier of T))
G is functional Element of K15((Bags n))
(n,T,L,G) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) Element of K15(K16((Bags n), the carrier of T))
Support L is functional Element of K15((Bags n))
(Support L) \ G is set
0. T is zero Element of the carrier of T
the ZeroF of T is Element of the carrier of T
((Support L) \ G) --> (0. T) is Relation-like (Support L) \ G -defined the carrier of T -valued Function-like V48((Support L) \ G) V49((Support L) \ G, the carrier of T) Element of K15(K16(((Support L) \ G), the carrier of T))
K16(((Support L) \ G), the carrier of T) is Relation-like set
K15(K16(((Support L) \ G), the carrier of T)) is non empty set
L +* (((Support L) \ G) --> (0. T)) is non empty Relation-like the carrier of T -valued Function-like set
Support (n,T,L,G) is functional Element of K15((Bags n))
n is set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
{} (Bags n) is ext-real non positive non negative empty proper Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural finite finite-yielding V31() cardinal {} -element co-well_founded weakly-normalizing strongly-normalizing with_UN_property with_NF_property subcommutative confluent with_Church-Rosser_property locally-confluent complete V52() V53() irreflexive complex V240() V241() V242() V243() FinSequence-yielding finite-support Function-yielding Element of K15((Bags n))
K15((Bags n)) is non empty set
T is non empty ZeroStr
the carrier of T is non empty set
K16((Bags n), the carrier of T) is non empty Relation-like set
K15(K16((Bags n), the carrier of T)) is non empty set
0_ (n,T) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of T))
L is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) Element of K15(K16((Bags n), the carrier of T))
Support L is functional Element of K15((Bags n))
(n,T,L,(Support L)) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) Element of K15(K16((Bags n), the carrier of T))
(Support L) \ (Support L) is set
0. T is zero Element of the carrier of T
the ZeroF of T is Element of the carrier of T
((Support L) \ (Support L)) --> (0. T) is Relation-like (Support L) \ (Support L) -defined the carrier of T -valued Function-like V48((Support L) \ (Support L)) V49((Support L) \ (Support L), the carrier of T) Element of K15(K16(((Support L) \ (Support L)), the carrier of T))
K16(((Support L) \ (Support L)), the carrier of T) is Relation-like set
K15(K16(((Support L) \ (Support L)), the carrier of T)) is non empty set
L +* (((Support L) \ (Support L)) --> (0. T)) is non empty Relation-like the carrier of T -valued Function-like set
(n,T,L,({} (Bags n))) is non empty Relation-like Bags n -defined the carrier of T -valued Function-like V48( Bags n) V49( Bags n, the carrier of T) Element of K15(K16((Bags n), the carrier of T))
(Support L) \ ({} (Bags n)) is set
((Support L) \ ({} (Bags n))) --> (0. T) is Relation-like (Support L) \ ({} (Bags n)) -defined the carrier of T -valued Function-like V48((Support L) \ ({} (Bags n))) V49((Support L) \ ({} (Bags n)), the carrier of T) Element of K15(K16(((Support L) \ ({} (Bags n))), the carrier of T))
K16(((Support L) \ ({} (Bags n))), the carrier of T) is Relation-like set
K15(K16(((Support L) \ ({} (Bags n))), the carrier of T)) is non empty set
L +* (((Support L) \ ({} (Bags n))) --> (0. T)) is non empty Relation-like the carrier of T -valued Function-like set
{} --> (0. T) is ext-real non positive non negative empty Relation-like non-empty empty-yielding {} -defined the carrier of T -valued Function-like one-to-one constant functional epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural finite finite-yielding V31() cardinal {} -element co-well_founded weakly-normalizing strongly-normalizing with_UN_property with_NF_property subcommutative confluent with_Church-Rosser_property locally-confluent complete V48( {} ) V49( {} , the carrier of T) V52() V53() irreflexive complex V240() V241() V242() V243() FinSequence-yielding finite-support Function-yielding Element of K15(K16({}, the carrier of T))
K16({}, the carrier of T) is Relation-like set
K15(K16({}, the carrier of T)) is non empty set
L +* ({} --> (0. T)) is non empty Relation-like the carrier of T -valued Function-like set
dom ({} --> (0. T)) is ext-real non positive non negative empty non proper Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural finite finite-yielding V31() cardinal {} -element co-well_founded weakly-normalizing strongly-normalizing with_UN_property with_NF_property subcommutative confluent with_Church-Rosser_property locally-confluent complete V52() V53() irreflexive complex V240() V241() V242() V243() FinSequence-yielding finite-support Function-yielding Element of K15({})
K15({}) is non empty finite V31() set
L +* {} is non empty Relation-like Function-like set
(Support L) --> (0. T) is Relation-like Support L -defined the carrier of T -valued Function-like V48( Support L) V49( Support L, the carrier of T) Element of K15(K16((Support L), the carrier of T))
K16((Support L), the carrier of T) is Relation-like set
K15(K16((Support L), the carrier of T)) is non empty set
dom ((Support L) --> (0. T)) is functional Element of K15((Support L))
K15((Support L)) is non empty set
g2 is set
dom (n,T,L,({} (Bags n))) is non empty functional Element of K15((Bags n))
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(n,T,L,({} (Bags n))) . h is Element of the carrier of T
((Support L) --> (0. T)) . h is set
(0_ (n,T)) . h is Element of the carrier of T
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(n,T,L,({} (Bags n))) . h is Element of the carrier of T
L . h is Element of the carrier of T
(0_ (n,T)) . h is Element of the carrier of T
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(n,T,L,({} (Bags n))) . h is Element of the carrier of T
(0_ (n,T)) . h is Element of the carrier of T
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(n,T,L,({} (Bags n))) . h is Element of the carrier of T
(0_ (n,T)) . h is Element of the carrier of T
(n,T,L,({} (Bags n))) . g2 is set
(0_ (n,T)) . g2 is set
dom (0_ (n,T)) is non empty functional Element of K15((Bags n))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
g2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
g2 + 1 is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
RelStr(# (Bags n),T #) is non empty strict V153() reflexive transitive antisymmetric V181() RelStr
h is functional finite Element of K15((Bags n))
card h is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
h is functional finite Element of K15((Bags n))
card h is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(Support G) \ h is finite set
m is set
m is set
m is functional Element of K15((Bags n))
m is set
the carrier of RelStr(# (Bags n),T #) is non empty set
m is non empty functional finite Element of K15((Bags n))
the InternalRel of RelStr(# (Bags n),T #) is Relation-like the carrier of RelStr(# (Bags n),T #) -defined the carrier of RelStr(# (Bags n),T #) -valued V48( the carrier of RelStr(# (Bags n),T #)) V49( the carrier of RelStr(# (Bags n),T #), the carrier of RelStr(# (Bags n),T #)) reflexive antisymmetric transitive Element of K15(K16( the carrier of RelStr(# (Bags n),T #), the carrier of RelStr(# (Bags n),T #)))
K16( the carrier of RelStr(# (Bags n),T #), the carrier of RelStr(# (Bags n),T #)) is non empty Relation-like set
K15(K16( the carrier of RelStr(# (Bags n),T #), the carrier of RelStr(# (Bags n),T #))) is non empty set
m9 is Element of the carrier of RelStr(# (Bags n),T #)
f is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
{f} is non empty trivial functional finite 1 -element set
h \/ {f} is non empty finite set
z is set
(Bags n) \/ (Bags n) is non empty set
w is set
z is functional finite Element of K15((Bags n))
w is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
[f,w] is V24() set
{f,w} is non empty functional finite set
{{f,w},{f}} is non empty finite V31() set
w is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
lowzw is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
card z is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
h is functional finite Element of K15((Bags n))
card h is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
{} (Bags n) is ext-real non positive non negative empty proper Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural finite finite-yielding V31() cardinal {} -element co-well_founded weakly-normalizing strongly-normalizing with_UN_property with_NF_property subcommutative confluent with_Church-Rosser_property locally-confluent complete V52() V53() irreflexive complex V240() V241() V242() V243() FinSequence-yielding finite-support Function-yielding Element of K15((Bags n))
card ({} (Bags n)) is ext-real non positive non negative empty Relation-like non-empty empty-yielding RAT -valued Function-like one-to-one constant functional epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural finite finite-yielding V31() cardinal {} -element co-well_founded weakly-normalizing strongly-normalizing with_UN_property with_NF_property subcommutative confluent with_Church-Rosser_property locally-confluent complete V52() V53() irreflexive complex V240() V241() V242() V243() FinSequence-yielding finite-support Function-yielding Element of omega
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
g2 is functional finite Element of K15((Bags n))
card g2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g2 is functional finite Element of K15((Bags n))
card g2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
h is functional finite Element of K15((Bags n))
card h is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
h is set
rp2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
m is set
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,g1) is finite set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,g1) is finite set
(n,T,L,G,g1) \/ (n,T,L,G,g1) is finite set
(n,T,L,G,g1) /\ (n,T,L,G,g1) is finite set
(n,T,L,G,g1) /\ ((Support G) \ (n,T,L,G,g1)) is finite set
(n,T,L,G,g1) \/ (Support G) is finite set
the Element of (n,T,L,G,g1) /\ ((Support G) \ (n,T,L,G,g1)) is Element of (n,T,L,G,g1) /\ ((Support G) \ (n,T,L,G,g1))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,g1) is finite set
g2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(n,T,L,G,g1) /\ (n,T,L,G,g1) is finite set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,0) is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
(n,T,L,G,0) is functional finite Element of K15((Bags n))
Support G is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,0) is finite set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
card (n,T,L,G,0) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(n,T,L,G,(card (Support G))) is functional finite Element of K15((Bags n))
(n,T,L,G,(card (Support G))) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,(card (Support G))) is finite set
card (n,T,L,G,(card (Support G))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
HT (G,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
the Relation-like n -defined Function-like Element of (n,T,L,G,g1) is Relation-like n -defined Function-like Element of (n,T,L,G,g1)
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,g1) is finite set
card (n,T,L,G,g1) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(card (Support G)) - g1 is ext-real V52() V53() complex set
card (n,T,L,G,g1) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(card (Support G)) - (card (n,T,L,G,g1)) is ext-real V52() V53() complex set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(n,T,L,G,g1) \/ (n,T,L,G,g1) is finite set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,g1) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,L,G,(n,T,L,G,g1)) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,L,G,(n,T,L,G,g1)) is functional finite Element of K15((Bags n))
(Support G) /\ (n,T,L,G,g1) is finite set
(Support G) /\ (n,T,L,G,g1) is finite set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
Support (n,L,G,(n,T,L,G,g1)) is functional finite Element of K15((Bags n))
Support (n,L,G,(n,T,L,G,g1)) is functional finite Element of K15((Bags n))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
Red (G,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support (Red (G,T)) is functional finite Element of K15((Bags n))
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,g1) is finite set
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
(n,T,L,g2,g1) is functional finite Element of K15((Bags n))
Support g2 is functional finite Element of K15((Bags n))
(n,T,L,g2,g1) is functional finite Element of K15((Bags n))
(Support g2) \ (n,T,L,g2,g1) is finite set
HT (g2,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(n,T,L,g2,g1) /\ (n,T,L,g2,g1) is finite set
{(HT (g2,T))} is non empty trivial functional finite 1 -element set
{(HT (g2,T))} /\ (n,T,L,g2,g1) is finite set
the Element of {(HT (g2,T))} /\ (n,T,L,g2,g1) is Element of {(HT (g2,T))} /\ (n,T,L,g2,g1)
(n,T,L,g2,g1) \ {(HT (g2,T))} is finite set
(n,T,L,g2,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,L,g2,(n,T,L,g2,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support g2) \ (n,T,L,g2,g1) is finite set
((Support g2) \ (n,T,L,g2,g1)) --> (0. L) is Relation-like (Support g2) \ (n,T,L,g2,g1) -defined the carrier of L -valued Function-like finite V48((Support g2) \ (n,T,L,g2,g1)) V49((Support g2) \ (n,T,L,g2,g1), the carrier of L) finite-support Element of K15(K16(((Support g2) \ (n,T,L,g2,g1)), the carrier of L))
K16(((Support g2) \ (n,T,L,g2,g1)), the carrier of L) is Relation-like set
K15(K16(((Support g2) \ (n,T,L,g2,g1)), the carrier of L)) is non empty set
g2 +* (((Support g2) \ (n,T,L,g2,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,g2,g1) is functional finite Element of K15((Bags n))
(Support (n,T,L,g2,g1)) \ {(HT (g2,T))} is finite set
(Support g2) \ {(HT (g2,T))} is finite set
Red (g2,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support (Red (g2,T)) is functional finite Element of K15((Bags n))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
(Support (n,T,L,G,g1)) /\ (Support (n,T,L,G,g1)) is finite set
g2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(n,T,L,G,g1) \/ (n,T,L,G,g1) is finite set
(Support (n,T,L,G,g1)) \/ (n,T,L,G,g1) is finite set
(Support (n,T,L,G,g1)) \/ (Support (n,T,L,G,g1)) is finite set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,g1) is finite set
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
g2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
HT (G,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
the Relation-like n -defined Function-like Element of Support (n,T,L,G,g1) is Relation-like n -defined Function-like Element of Support (n,T,L,G,g1)
card (Support (n,T,L,G,g1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,g1) is finite set
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
(n,T,L,G,g1) /\ (n,T,L,G,g1) is finite set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(n,T,L,G,g1) . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,G,g1) . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
(n,T,L,G,g1) /\ (n,T,L,G,g1) is finite set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(n,T,L,G,g1) . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,G,g1) . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
(n,T,L,G,g1) + (n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h is set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
((n,T,L,G,g1) + (n,T,L,G,g1)) . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,G,g1) . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,G,g1) . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((n,T,L,G,g1) . h) + ((n,T,L,G,g1) . h) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
((n,T,L,G,g1) . h) + (0. L) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
(0. L) + ((n,T,L,G,g1) . h) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
G . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
G . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
Support ((n,T,L,G,g1) + (n,T,L,G,g1)) is functional finite Element of K15((Bags n))
(Support (n,T,L,G,g1)) \/ (Support (n,T,L,G,g1)) is finite set
h is set
h is set
dom G is non empty functional Element of K15((Bags n))
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
((n,T,L,G,g1) + (n,T,L,G,g1)) . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,G,g1) . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,G,g1) . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((n,T,L,G,g1) . h) + ((n,T,L,G,g1) . h) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((n,T,L,G,g1) . h) + (0. L) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(0. L) + ((n,T,L,G,g1) . h) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G . h is set
((n,T,L,G,g1) + (n,T,L,G,g1)) . h is set
dom ((n,T,L,G,g1) + (n,T,L,G,g1)) is non empty functional Element of K15((Bags n))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,0) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,0) is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
(n,L,G,(n,T,L,G,0)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,0) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,0)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,0) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,0)) V49((Support G) \ (n,T,L,G,0), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,0)), the carrier of L))
K16(((Support G) \ (n,T,L,G,0)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,0)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,0)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
(n,T,L,G,0) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,0) is functional finite Element of K15((Bags n))
(n,L,G,(n,T,L,G,0)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,0) is finite set
((Support G) \ (n,T,L,G,0)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,0) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,0)) V49((Support G) \ (n,T,L,G,0), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,0)), the carrier of L))
K16(((Support G) \ (n,T,L,G,0)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,0)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,0)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
Support (n,T,L,G,0) is functional finite Element of K15((Bags n))
card (Support (n,T,L,G,0)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(0_ (n,L)) + (n,T,L,G,0) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable Abelian add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(n,T,L,G,(card (Support G))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,(card (Support G))) is functional finite Element of K15((Bags n))
(n,L,G,(n,T,L,G,(card (Support G)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,(card (Support G))) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,(card (Support G)))) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,(card (Support G))) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,(card (Support G)))) V49((Support G) \ (n,T,L,G,(card (Support G))), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,(card (Support G)))), the carrier of L))
K16(((Support G) \ (n,T,L,G,(card (Support G)))), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,(card (Support G)))), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,(card (Support G)))) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
(n,T,L,G,(card (Support G))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,(card (Support G))) is functional finite Element of K15((Bags n))
(n,L,G,(n,T,L,G,(card (Support G)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,(card (Support G))) is finite set
((Support G) \ (n,T,L,G,(card (Support G)))) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,(card (Support G))) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,(card (Support G)))) V49((Support G) \ (n,T,L,G,(card (Support G))), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,(card (Support G)))), the carrier of L))
K16(((Support G) \ (n,T,L,G,(card (Support G)))), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,(card (Support G)))), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,(card (Support G)))) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,G,(card (Support G))) is functional finite Element of K15((Bags n))
(Support G) /\ (n,T,L,G,(card (Support G))) is finite set
card (Support (n,T,L,G,(card (Support G)))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
card (n,T,L,G,(card (Support G))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
h is set
h is set
h is set
dom G is non empty functional Element of K15((Bags n))
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
G . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,G,(card (Support G))) . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
G . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,G,(card (Support G))) . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
G . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,G,(card (Support G))) . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
G . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,G,(card (Support G))) . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G . h is set
(n,T,L,G,(card (Support G))) . h is set
dom (n,T,L,G,(card (Support G))) is non empty functional Element of K15((Bags n))
- G is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
G + (- G) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,(card (Support G))) + G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((n,T,L,G,(card (Support G))) + G) + (- G) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,(card (Support G))) + (G + (- G)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,(card (Support G))) + (0_ (n,L)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable Abelian add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,1) is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
(n,L,G,(n,T,L,G,1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,1) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,1)) V49((Support G) \ (n,T,L,G,1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
HM (G,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero monomial-like Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,1) is functional finite Element of K15((Bags n))
(n,L,G,(n,T,L,G,1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,1) is finite set
((Support G) \ (n,T,L,G,1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,1)) V49((Support G) \ (n,T,L,G,1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Red (G,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
Support (n,T,L,G,1) is functional finite Element of K15((Bags n))
card (Support (n,T,L,G,1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
h is set
{h} is non empty trivial finite 1 -element set
HT (G,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
{(HT (G,T))} is non empty trivial functional finite 1 -element set
Support (HM (G,T)) is functional finite Element of K15((Bags n))
h is set
dom (HM (G,T)) is non empty functional Element of K15((Bags n))
rp2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(HM (G,T)) . rp2 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G . rp2 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,G,1) . rp2 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
rp2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(HM (G,T)) . rp2 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,G,1) . rp2 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
rp2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(HM (G,T)) . rp2 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,G,1) . rp2 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
rp2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(HM (G,T)) . rp2 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,G,1) . rp2 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HM (G,T)) . h is set
(n,T,L,G,1) . h is set
dom (n,T,L,G,1) is non empty functional Element of K15((Bags n))
(HM (G,T)) + (n,T,L,G,1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
G - (HM (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,1) + (HM (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- (HM (G,T)) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((n,T,L,G,1) + (HM (G,T))) + (- (HM (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) + (- (HM (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,1) + ((HM (G,T)) + (- (HM (G,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,1) + (0_ (n,L)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
L is non empty non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,0) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,0) is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
(n,L,G,(n,T,L,G,0)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,0) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,0)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,0) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,0)) V49((Support G) \ (n,T,L,G,0), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,0)), the carrier of L))
K16(((Support G) \ (n,T,L,G,0)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,0)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,0)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
L is non empty non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable Abelian add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,1) is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
(n,L,G,(n,T,L,G,1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,1) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,1)) V49((Support G) \ (n,T,L,G,1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
HM (G,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero monomial-like Element of K15(K16((Bags n), the carrier of L))
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(n,T,L,G,(card (Support G))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,(card (Support G))) is functional finite Element of K15((Bags n))
(n,T,L,G,(card (Support G))) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,(card (Support G))) is finite set
(n,L,G,(n,T,L,G,(card (Support G)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,(card (Support G))) is finite set
((Support G) \ (n,T,L,G,(card (Support G)))) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,(card (Support G))) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,(card (Support G)))) V49((Support G) \ (n,T,L,G,(card (Support G))), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,(card (Support G)))), the carrier of L))
K16(((Support G) \ (n,T,L,G,(card (Support G)))), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,(card (Support G)))), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,(card (Support G)))) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(card (Support G)) - 1 is ext-real V52() V53() complex set
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,g1) is finite set
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
((card (Support G)) - 1) + 1 is ext-real V52() V53() complex set
(card (Support G)) + 1 is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
- (card (Support G)) is ext-real non positive V52() V53() complex set
(card (Support G)) + (- (card (Support G))) is ext-real V52() V53() complex set
((card (Support G)) + 1) + (- (card (Support G))) is ext-real V52() V53() complex set
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
card (Support (n,T,L,G,g1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(card (Support G)) - ((card (Support G)) - 1) is ext-real V52() V53() complex set
h is set
{h} is non empty trivial finite 1 -element set
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
g1 + 1 is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,(g1 + 1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,(g1 + 1)) is functional finite Element of K15((Bags n))
(n,T,L,G,(g1 + 1)) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,(g1 + 1)) is finite set
(n,L,G,(n,T,L,G,(g1 + 1))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,(g1 + 1)) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,(g1 + 1))) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,(g1 + 1)) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,(g1 + 1))) V49((Support G) \ (n,T,L,G,(g1 + 1)), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,(g1 + 1))), the carrier of L))
K16(((Support G) \ (n,T,L,G,(g1 + 1))), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,(g1 + 1))), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,(g1 + 1))) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
HT ((n,T,L,G,(g1 + 1)),T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,g1) is finite set
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
HT ((n,T,L,G,g1),T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
card (Support (n,T,L,G,g1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(card (Support G)) - g1 is ext-real V52() V53() complex set
Support (n,T,L,G,(g1 + 1)) is functional finite Element of K15((Bags n))
card (Support (n,T,L,G,(g1 + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(card (Support G)) - (g1 + 1) is ext-real V52() V53() complex set
(card (Support G)) - 1 is ext-real V52() V53() complex set
(card (Support G)) - (card (Support G)) is ext-real V52() V53() complex set
EmptyBag n is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(card (Support G)) - 1 is ext-real V52() V53() complex set
card (n,T,L,G,(g1 + 1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
h is set
rp2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
- g1 is ext-real non positive V52() V53() complex set
(card (Support G)) + (- g1) is ext-real V52() V53() complex set
- (g1 + 1) is ext-real non positive V52() V53() complex set
(card (Support G)) + (- (g1 + 1)) is ext-real V52() V53() complex set
(g1 + 1) - g1 is ext-real V52() V53() complex set
g1 - g1 is ext-real V52() V53() complex set
(card (Support G)) - 1 is ext-real V52() V53() complex set
(card (Support G)) - 1 is ext-real V52() V53() complex set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
HT (G,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,g1) is finite set
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
HT ((n,T,L,G,g1),T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
card (Support (n,T,L,G,g1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
0 + g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(card (Support G)) - g1 is ext-real V52() V53() complex set
((card (Support G)) - g1) + g1 is ext-real V52() V53() complex set
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
h is set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
h is set
card (Support (n,T,L,G,g1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(card (Support G)) - g1 is ext-real V52() V53() complex set
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable V105() right-distributive left-distributive right_unital well-unital distributive left_unital add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero monomial-like Element of K15(K16((Bags n), the carrier of L))
term g1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
g1 *' G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,(g1 *' G),g2) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,(g1 *' G),g2) is functional finite Element of K15((Bags n))
Support (g1 *' G) is functional finite Element of K15((Bags n))
(n,T,L,(g1 *' G),g2) is functional finite Element of K15((Bags n))
(Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2) is finite set
(n,L,(g1 *' G),(n,T,L,(g1 *' G),g2)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)) --> (0. L) is Relation-like (Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2) -defined the carrier of L -valued Function-like finite V48((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)) V49((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2), the carrier of L) finite-support Element of K15(K16(((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)), the carrier of L))
K16(((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)), the carrier of L) is Relation-like set
K15(K16(((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)), the carrier of L)) is non empty set
(g1 *' G) +* (((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,(g1 *' G),g2) is functional finite Element of K15((Bags n))
(n,T,L,G,g2) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g2) is functional finite Element of K15((Bags n))
(n,T,L,G,g2) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,g2) is finite set
(n,L,G,(n,T,L,G,g2)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g2) is finite set
((Support G) \ (n,T,L,G,g2)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g2) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g2)) V49((Support G) \ (n,T,L,G,g2), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g2)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g2)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g2)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g2)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,G,g2) is functional finite Element of K15((Bags n))
(n,T,L,G,g2) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,L,G,(n,T,L,G,g2)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((Support G) \ (n,T,L,G,g2)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g2) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g2)) V49((Support G) \ (n,T,L,G,g2), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g2)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g2)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g2)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g2)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,G,g2) is functional finite Element of K15((Bags n))
card (Support (n,T,L,G,g2)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(term g1) + h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
card (Support (g1 *' G)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(n,T,L,(g1 *' G),g2) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,L,(g1 *' G),(n,T,L,(g1 *' G),g2)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)) --> (0. L) is Relation-like (Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2) -defined the carrier of L -valued Function-like finite V48((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)) V49((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2), the carrier of L) finite-support Element of K15(K16(((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)), the carrier of L))
K16(((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)), the carrier of L) is Relation-like set
K15(K16(((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)), the carrier of L)) is non empty set
(g1 *' G) +* (((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,(g1 *' G),g2) is functional finite Element of K15((Bags n))
card (Support (n,T,L,(g1 *' G),g2)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(Support (n,T,L,(g1 *' G),g2)) /\ (Support (n,T,L,(g1 *' G),g2)) is finite set
{ ((term g1) + b1) where b1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n : b1 in Support G } is set
rp2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(term g1) + rp2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
rp2 is set
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(term g1) + m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
In (m,(Bags n)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(In (m,(Bags n))) @ is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(term g1) + ((In (m,(Bags n))) @) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
K16((Support (n,T,L,(g1 *' G),g2)),(Support (n,T,L,G,g2))) is Relation-like finite set
K15(K16((Support (n,T,L,(g1 *' G),g2)),(Support (n,T,L,G,g2)))) is non empty finite V31() set
rp2 is Relation-like Support (n,T,L,(g1 *' G),g2) -defined Support (n,T,L,G,g2) -valued Function-like finite V49( Support (n,T,L,(g1 *' G),g2), Support (n,T,L,G,g2)) finite-support Element of K15(K16((Support (n,T,L,(g1 *' G),g2)),(Support (n,T,L,G,g2))))
m is set
dom rp2 is functional finite Element of K15((Support (n,T,L,(g1 *' G),g2)))
K15((Support (n,T,L,(g1 *' G),g2))) is non empty finite V31() set
m is set
rp2 . m is Relation-like Function-like set
rp2 . m is Relation-like Function-like set
rng rp2 is functional finite Element of K15((Support (n,T,L,G,g2)))
K15((Support (n,T,L,G,g2))) is non empty finite V31() set
m9 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
In (m9,(Bags n)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(In (m9,(Bags n))) @ is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
f is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
In (f,(Bags n)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(In (f,(Bags n))) @ is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(term g1) + m9 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
rp2 .: (Support (n,T,L,(g1 *' G),g2)) is functional finite Element of K15((Support (n,T,L,G,g2)))
card (rp2 .: (Support (n,T,L,(g1 *' G),g2))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
m is set
rp2 . m is Relation-like Function-like set
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
In (m,(Bags n)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(In (m,(Bags n))) @ is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
rp2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(term g1) + rp2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
((term g1) + h) -' (term g1) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(Support (n,T,L,G,g2)) /\ (Support (n,T,L,G,g2)) is finite set
rp2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(term g1) + rp2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
rp2 is set
In (rp2,(Bags n)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(In (rp2,(Bags n))) @ is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(term g1) + ((In (rp2,(Bags n))) @) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(term g1) + m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
In (m,(Bags n)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(In (m,(Bags n))) @ is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
K16((Support (n,T,L,G,g2)),(Support (n,T,L,(g1 *' G),g2))) is Relation-like finite set
K15(K16((Support (n,T,L,G,g2)),(Support (n,T,L,(g1 *' G),g2)))) is non empty finite V31() set
rp2 is Relation-like Support (n,T,L,G,g2) -defined Support (n,T,L,(g1 *' G),g2) -valued Function-like finite V49( Support (n,T,L,G,g2), Support (n,T,L,(g1 *' G),g2)) finite-support Element of K15(K16((Support (n,T,L,G,g2)),(Support (n,T,L,(g1 *' G),g2))))
m is set
dom rp2 is functional finite Element of K15((Support (n,T,L,G,g2)))
m is set
rp2 . m is Relation-like Function-like set
rp2 . m is Relation-like Function-like set
f is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
In (f,(Bags n)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(In (f,(Bags n))) @ is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
rp2 . f is Relation-like Function-like set
(term g1) + f is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
m9 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
In (m9,(Bags n)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(In (m9,(Bags n))) @ is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
rp2 . m9 is Relation-like Function-like set
(term g1) + m9 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
((term g1) + m9) -' (term g1) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
rp2 .: (Support (n,T,L,G,g2)) is functional finite Element of K15((Support (n,T,L,(g1 *' G),g2)))
card (rp2 .: (Support (n,T,L,G,g2))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
m is set
rp2 . m is Relation-like Function-like set
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
In (m,(Bags n)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(In (m,(Bags n))) @ is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(term g1) + m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
((term g1) + m) -' (term g1) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
g1 + 1 is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,(g1 + 1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,(g1 + 1)) is functional finite Element of K15((Bags n))
(n,T,L,G,(g1 + 1)) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,(g1 + 1)) is finite set
(n,L,G,(n,T,L,G,(g1 + 1))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,(g1 + 1)) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,(g1 + 1))) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,(g1 + 1)) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,(g1 + 1))) V49((Support G) \ (n,T,L,G,(g1 + 1)), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,(g1 + 1))), the carrier of L))
K16(((Support G) \ (n,T,L,G,(g1 + 1))), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,(g1 + 1))), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,(g1 + 1))) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,G,(g1 + 1)) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,g1) is finite set
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
(card (Support G)) - g1 is ext-real V52() V53() complex set
card (Support (n,T,L,G,g1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
HT ((n,T,L,G,g1),T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
HT ((n,T,L,G,(g1 + 1)),T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
h is set
rp2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,g1) is finite set
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
g1 + 1 is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,(g1 + 1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,(g1 + 1)) is functional finite Element of K15((Bags n))
(n,T,L,G,(g1 + 1)) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,(g1 + 1)) is finite set
(n,L,G,(n,T,L,G,(g1 + 1))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,(g1 + 1)) is finite set
((Support G) \ (n,T,L,G,(g1 + 1))) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,(g1 + 1)) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,(g1 + 1))) V49((Support G) \ (n,T,L,G,(g1 + 1)), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,(g1 + 1))), the carrier of L))
K16(((Support G) \ (n,T,L,G,(g1 + 1))), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,(g1 + 1))), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,(g1 + 1))) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,G,(g1 + 1)) is functional finite Element of K15((Bags n))
(Support (n,T,L,G,g1)) \ (Support (n,T,L,G,(g1 + 1))) is finite set
HT ((n,T,L,G,g1),T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
{(HT ((n,T,L,G,g1),T))} is non empty trivial functional finite 1 -element set
card (Support (n,T,L,G,g1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(card (Support G)) - g1 is ext-real V52() V53() complex set
card (Support (n,T,L,G,(g1 + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(card (Support G)) - (g1 + 1) is ext-real V52() V53() complex set
card ((Support (n,T,L,G,g1)) \ (Support (n,T,L,G,(g1 + 1)))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
((card (Support G)) - g1) - ((card (Support G)) - (g1 + 1)) is ext-real V52() V53() complex set
h is set
{h} is non empty trivial finite 1 -element set
rp2 is set
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
rp2 is set
- g1 is ext-real non positive V52() V53() complex set
(card (Support G)) + (- g1) is ext-real V52() V53() complex set
- (g1 + 1) is ext-real non positive V52() V53() complex set
(card (Support G)) + (- (g1 + 1)) is ext-real V52() V53() complex set
(g1 + 1) - g1 is ext-real V52() V53() complex set
g1 - g1 is ext-real V52() V53() complex set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like addLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g1 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
g1 + 1 is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,G,(g1 + 1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,(g1 + 1)) is functional finite Element of K15((Bags n))
(n,T,L,G,(g1 + 1)) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,(g1 + 1)) is finite set
(n,L,G,(n,T,L,G,(g1 + 1))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,(g1 + 1)) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support G) \ (n,T,L,G,(g1 + 1))) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,(g1 + 1)) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,(g1 + 1))) V49((Support G) \ (n,T,L,G,(g1 + 1)), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,(g1 + 1))), the carrier of L))
K16(((Support G) \ (n,T,L,G,(g1 + 1))), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,(g1 + 1))), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,(g1 + 1))) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
(n,T,L,G,g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(n,T,L,G,g1) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,g1) is finite set
(n,L,G,(n,T,L,G,g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g1) is finite set
((Support G) \ (n,T,L,G,g1)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g1) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g1)) V49((Support G) \ (n,T,L,G,g1), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g1)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g1)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Red ((n,T,L,G,g1),T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support (n,T,L,G,g1) is functional finite Element of K15((Bags n))
card (Support (n,T,L,G,g1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(card (Support G)) - g1 is ext-real V52() V53() complex set
Support (n,T,L,G,(g1 + 1)) is functional finite Element of K15((Bags n))
card (Support (n,T,L,G,(g1 + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(card (Support G)) - (g1 + 1) is ext-real V52() V53() complex set
HT ((n,T,L,G,g1),T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
{(HT ((n,T,L,G,g1),T))} is non empty trivial functional finite 1 -element set
{(HT ((n,T,L,G,g1),T))} /\ (Support (n,T,L,G,(g1 + 1))) is finite set
the Element of {(HT ((n,T,L,G,g1),T))} /\ (Support (n,T,L,G,(g1 + 1))) is Element of {(HT ((n,T,L,G,g1),T))} /\ (Support (n,T,L,G,(g1 + 1)))
m is set
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
- g1 is ext-real non positive V52() V53() complex set
(card (Support G)) + (- g1) is ext-real V52() V53() complex set
- (g1 + 1) is ext-real non positive V52() V53() complex set
(card (Support G)) + (- (g1 + 1)) is ext-real V52() V53() complex set
(g1 + 1) - g1 is ext-real V52() V53() complex set
g1 - g1 is ext-real V52() V53() complex set
(Support (n,T,L,G,g1)) \ (Support (n,T,L,G,(g1 + 1))) is finite set
(Support (n,T,L,G,(g1 + 1))) \/ {(HT ((n,T,L,G,g1),T))} is non empty finite set
Support (Red ((n,T,L,G,g1),T)) is functional finite Element of K15((Bags n))
((Support (n,T,L,G,(g1 + 1))) \/ {(HT ((n,T,L,G,g1),T))}) \ {(HT ((n,T,L,G,g1),T))} is finite set
(Support (n,T,L,G,(g1 + 1))) \ {(HT ((n,T,L,G,g1),T))} is finite set
rp2 is set
dom (n,T,L,G,(g1 + 1)) is non empty functional Element of K15((Bags n))
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(n,T,L,G,(g1 + 1)) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,G,g1) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(Red ((n,T,L,G,g1),T)) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(n,T,L,G,(g1 + 1)) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(Red ((n,T,L,G,g1),T)) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(n,T,L,G,(g1 + 1)) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(Red ((n,T,L,G,g1),T)) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(n,T,L,G,(g1 + 1)) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(Red ((n,T,L,G,g1),T)) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,G,(g1 + 1)) . rp2 is set
(Red ((n,T,L,G,g1),T)) . rp2 is set
dom (Red ((n,T,L,G,g1),T)) is non empty functional Element of K15((Bags n))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable V105() right-distributive left-distributive right_unital well-unital distributive left_unital add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero monomial-like Element of K15(K16((Bags n), the carrier of L))
g1 *' G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,(g1 *' G),g2) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,(g1 *' G),g2) is functional finite Element of K15((Bags n))
Support (g1 *' G) is functional finite Element of K15((Bags n))
(n,T,L,(g1 *' G),g2) is functional finite Element of K15((Bags n))
(Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2) is finite set
(n,L,(g1 *' G),(n,T,L,(g1 *' G),g2)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)) --> (0. L) is Relation-like (Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2) -defined the carrier of L -valued Function-like finite V48((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)) V49((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2), the carrier of L) finite-support Element of K15(K16(((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)), the carrier of L))
K16(((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)), the carrier of L) is Relation-like set
K15(K16(((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)), the carrier of L)) is non empty set
(g1 *' G) +* (((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
(n,T,L,G,g2) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,G,g2) is functional finite Element of K15((Bags n))
(n,T,L,G,g2) is functional finite Element of K15((Bags n))
(Support G) \ (n,T,L,G,g2) is finite set
(n,L,G,(n,T,L,G,g2)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support G) \ (n,T,L,G,g2) is finite set
((Support G) \ (n,T,L,G,g2)) --> (0. L) is Relation-like (Support G) \ (n,T,L,G,g2) -defined the carrier of L -valued Function-like finite V48((Support G) \ (n,T,L,G,g2)) V49((Support G) \ (n,T,L,G,g2), the carrier of L) finite-support Element of K15(K16(((Support G) \ (n,T,L,G,g2)), the carrier of L))
K16(((Support G) \ (n,T,L,G,g2)), the carrier of L) is Relation-like set
K15(K16(((Support G) \ (n,T,L,G,g2)), the carrier of L)) is non empty set
G +* (((Support G) \ (n,T,L,G,g2)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
g1 *' (n,T,L,G,g2) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
card (Support (g1 *' G)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
Support (g1 *' (n,T,L,G,g2)) is functional finite Element of K15((Bags n))
Support g1 is functional finite Element of K15((Bags n))
Support (n,T,L,G,g2) is functional finite Element of K15((Bags n))
{ (b1 + b2) where b1, b2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n : ( b1 in Support g1 & b2 in Support (n,T,L,G,g2) ) } is set
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
term g1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
{(term g1)} is non empty trivial functional finite 1 -element set
g1 . (term g1) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
rp2 is set
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
m9 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
m + m9 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(n,T,L,G,g2) . m9 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(g1 *' G) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G . m9 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(g1 . (term g1)) * (G . m9) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(g1 . (term g1)) * ((n,T,L,G,g2) . m9) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
Support (n,T,L,(g1 *' G),g2) is functional finite Element of K15((Bags n))
(n,T,L,(g1 *' G),g2) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,L,(g1 *' G),(n,T,L,(g1 *' G),g2)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)) --> (0. L) is Relation-like (Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2) -defined the carrier of L -valued Function-like finite V48((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)) V49((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2), the carrier of L) finite-support Element of K15(K16(((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)), the carrier of L))
K16(((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)), the carrier of L) is Relation-like set
K15(K16(((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)), the carrier of L)) is non empty set
(g1 *' G) +* (((Support (g1 *' G)) \ (n,T,L,(g1 *' G),g2)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,(g1 *' G),g2) is functional finite Element of K15((Bags n))
f is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
m + f is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
{ (b1 + b2) where b1, b2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n : ( b1 in Support g1 & b2 in Support G ) } is set
rp2 is set
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
m9 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
m + m9 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
G . m9 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(term g1) + m9 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(g1 *' (n,T,L,G,g2)) . ((term g1) + m9) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,G,g2) . m9 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(g1 . (term g1)) * ((n,T,L,G,g2) . m9) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(g1 . (term g1)) * (G . m9) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(g1 *' (n,T,L,G,g2)) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
rp2 is set
dom (g1 *' (n,T,L,G,g2)) is non empty functional Element of K15((Bags n))
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
m9 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
m + m9 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(g1 *' (n,T,L,G,g2)) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,G,g2) . m9 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(g1 . (term g1)) * ((n,T,L,G,g2) . m9) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G . m9 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(g1 . (term g1)) * (G . m9) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(g1 *' G) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,(g1 *' G),g2) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(g1 *' (n,T,L,G,g2)) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,(g1 *' G),g2) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(g1 *' (n,T,L,G,g2)) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,(g1 *' G),g2) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(g1 *' (n,T,L,G,g2)) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,(g1 *' G),g2) . m is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(g1 *' (n,T,L,G,g2)) . rp2 is set
(n,T,L,(g1 *' G),g2) . rp2 is set
dom (n,T,L,(g1 *' G),g2) is non empty functional Element of K15((Bags n))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable almost_left_invertible V105() associative commutative right-distributive left-distributive right_unital well-unital distributive left_unital add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
Polynom-Ring (n,L) is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable strict add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of (Polynom-Ring (n,L)) is non empty set
K15( the carrier of (Polynom-Ring (n,L))) is non empty set
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is Element of K15( the carrier of (Polynom-Ring (n,L)))
PolyRedRel (G,T) is Relation-like NonZero (Polynom-Ring (n,L)) -defined the carrier of (Polynom-Ring (n,L)) -valued Element of K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))))
NonZero (Polynom-Ring (n,L)) is Element of K15( the carrier of (Polynom-Ring (n,L)))
[#] (Polynom-Ring (n,L)) is non empty non proper Element of K15( the carrier of (Polynom-Ring (n,L)))
0. (Polynom-Ring (n,L)) is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
the ZeroF of (Polynom-Ring (n,L)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
{(0. (Polynom-Ring (n,L)))} is non empty trivial finite 1 -element set
([#] (Polynom-Ring (n,L))) \ {(0. (Polynom-Ring (n,L)))} is Element of K15( the carrier of (Polynom-Ring (n,L)))
K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))) is Relation-like set
K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L)))) is non empty set
g1 is non empty Relation-like Function-like FinSequence-like RedSequence of PolyRedRel (G,T)
len g1 is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
g2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
g1 . g2 is set
dom g1 is non empty Element of K15(NAT)
g2 + 1 is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
g1 . (g2 + 1) is set
[(g1 . g2),(g1 . (g2 + 1))] is V24() set
{(g1 . g2),(g1 . (g2 + 1))} is non empty finite set
{(g1 . g2)} is non empty trivial finite 1 -element set
{{(g1 . g2),(g1 . (g2 + 1))},{(g1 . g2)}} is non empty finite V31() set
dom (PolyRedRel (G,T)) is Element of K15((NonZero (Polynom-Ring (n,L))))
K15((NonZero (Polynom-Ring (n,L)))) is non empty set
g2 - 1 is ext-real V52() V53() complex set
- 1 is ext-real non positive V52() V53() complex set
g2 + (- 1) is ext-real V52() V53() complex set
1 + (- 1) is ext-real V52() V53() complex set
(g2 - 1) + 1 is ext-real V52() V53() complex set
g1 . (g2 - 1) is set
[(g1 . (g2 - 1)),(g1 . g2)] is V24() set
{(g1 . (g2 - 1)),(g1 . g2)} is non empty finite set
{(g1 . (g2 - 1))} is non empty trivial finite 1 -element set
{{(g1 . (g2 - 1)),(g1 . g2)},{(g1 . (g2 - 1))}} is non empty finite V31() set
rng (PolyRedRel (G,T)) is Element of K15( the carrier of (Polynom-Ring (n,L)))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable almost_left_invertible V105() associative commutative right-distributive left-distributive right_unital well-unital distributive left_unital Abelian add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- G is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- g1 is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
Support (- G) is functional finite Element of K15((Bags n))
HT (g2,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
G . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
HC (g2,T) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(G . h) / (HC (g2,T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
h + (HT (g2,T)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
h *' g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((G . h) / (HC (g2,T))) * (h *' g2) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
G - (((G . h) / (HC (g2,T))) * (h *' g2)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- (((G . h) / (HC (g2,T))) * (h *' g2)) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
G + (- (((G . h) / (HC (g2,T))) * (h *' g2))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- (- (((G . h) / (HC (g2,T))) * (h *' g2))) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(- G) + (- (- (((G . h) / (HC (g2,T))) * (h *' g2)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(- G) - (- (((G . h) / (HC (g2,T))) * (h *' g2))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- ((G . h) / (HC (g2,T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(- ((G . h) / (HC (g2,T)))) * (h *' g2) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(- G) - ((- ((G . h) / (HC (g2,T)))) * (h *' g2)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HC (g2,T)) " is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(G . h) * ((HC (g2,T)) ") is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
- ((G . h) * ((HC (g2,T)) ")) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(- ((G . h) * ((HC (g2,T)) "))) * (h *' g2) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(- G) - ((- ((G . h) * ((HC (g2,T)) "))) * (h *' g2)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- (G . h) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(- (G . h)) * ((HC (g2,T)) ") is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((- (G . h)) * ((HC (g2,T)) ")) * (h *' g2) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(- G) - (((- (G . h)) * ((HC (g2,T)) ")) * (h *' g2)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(- (G . h)) / (HC (g2,T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((- (G . h)) / (HC (g2,T))) * (h *' g2) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(- G) - (((- (G . h)) / (HC (g2,T))) * (h *' g2)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(- G) . h is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((- G) . h) / (HC (g2,T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(((- G) . h) / (HC (g2,T))) * (h *' g2) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(- G) - ((((- G) . h) / (HC (g2,T))) * (h *' g2)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- (- G) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
- (0_ (n,L)) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable almost_left_invertible V105() associative commutative right-distributive left-distributive right_unital well-unital distributive left_unital add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HT (G,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HT (g1,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
Support g1 is functional finite Element of K15((Bags n))
g2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(HT (G,T)) + h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(HT (g1,T)) + g2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(HT (G,T)) + (HT (g1,T)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
lcm ((HT (G,T)),(HT (g1,T))) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
((HT (G,T)) + (HT (g1,T))) -' (HT (g1,T)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
lcm ((HT (G,T)),(HT (g1,T))) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
((HT (G,T)) + (HT (g1,T))) -' (HT (G,T)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable almost_left_invertible V105() associative commutative right-distributive left-distributive right_unital well-unital distributive left_unital Abelian add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
{h} is non empty trivial functional finite 1 -element Element of K15( the carrier of (Polynom-Ring (n,L)))
Polynom-Ring (n,L) is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable strict V105() associative commutative right-distributive right_unital well-unital left_unital Abelian add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of (Polynom-Ring (n,L)) is non empty set
K15( the carrier of (Polynom-Ring (n,L))) is non empty set
g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support g2 is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
HT (h,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
G + g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g1 + g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
rp2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
G . rp2 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
HC (h,T) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(G . rp2) / (HC (h,T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
m is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
m + (HT (h,T)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
m *' h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((G . rp2) / (HC (h,T))) * (m *' h) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
G - (((G . rp2) / (HC (h,T))) * (m *' h)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
(G + g2) . rp2 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
g2 . rp2 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(G . rp2) + (g2 . rp2) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(G . rp2) + (0. L) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
(G + g2) - G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- G is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G + g2) + (- G) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
G + (- G) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G + (- G)) + g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(0_ (n,L)) + g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((G + g2) . rp2) / (HC (h,T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(((G + g2) . rp2) / (HC (h,T))) * (m *' h) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G + g2) - ((((G + g2) . rp2) / (HC (h,T))) * (m *' h)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support (G + g2) is functional finite Element of K15((Bags n))
- (((G . rp2) / (HC (h,T))) * (m *' h)) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G + g2) + (- (((G . rp2) / (HC (h,T))) * (m *' h))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
G + (- (((G . rp2) / (HC (h,T))) * (m *' h))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G + (- (((G . rp2) / (HC (h,T))) * (m *' h)))) + g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable almost_left_invertible V105() associative commutative right-distributive left-distributive right_unital well-unital distributive left_unital Abelian add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
G *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
Red (G,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (G,T)) *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
{g1} is non empty trivial functional finite 1 -element Element of K15( the carrier of (Polynom-Ring (n,L)))
Polynom-Ring (n,L) is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable strict V105() associative commutative right-distributive right_unital well-unital left_unital Abelian add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of (Polynom-Ring (n,L)) is non empty set
K15( the carrier of (Polynom-Ring (n,L))) is non empty set
HT (G,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(HT (G,T)) *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HT ((G *' g1),T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(G *' g1) . (HT ((G *' g1),T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
HC (g1,T) is non zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((G *' g1) . (HT ((G *' g1),T))) / (HC (g1,T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(((G *' g1) . (HT ((G *' g1),T))) / (HC (g1,T))) * ((HT (G,T)) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G *' g1) - ((((G *' g1) . (HT ((G *' g1),T))) / (HC (g1,T))) * ((HT (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HM (G,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero monomial-like Element of K15(K16((Bags n), the carrier of L))
- (HM (G,T)) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
Support (G *' g1) is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
HT (g1,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(HT (G,T)) + (HT (g1,T)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
HC ((G *' g1),T) is non zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HC ((G *' g1),T)) / (HC (g1,T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((HC ((G *' g1),T)) / (HC (g1,T))) * ((HT (G,T)) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G *' g1) - (((HC ((G *' g1),T)) / (HC (g1,T))) * ((HT (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HC (G,T) is non zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HC (G,T)) * (HC (g1,T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((HC (G,T)) * (HC (g1,T))) / (HC (g1,T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(((HC (G,T)) * (HC (g1,T))) / (HC (g1,T))) * ((HT (G,T)) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G *' g1) - ((((HC (G,T)) * (HC (g1,T))) / (HC (g1,T))) * ((HT (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HC (g1,T)) " is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((HC (G,T)) * (HC (g1,T))) * ((HC (g1,T)) ") is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(((HC (G,T)) * (HC (g1,T))) * ((HC (g1,T)) ")) * ((HT (G,T)) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G *' g1) - ((((HC (G,T)) * (HC (g1,T))) * ((HC (g1,T)) ")) * ((HT (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HC (g1,T)) * ((HC (g1,T)) ") is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HC (G,T)) * ((HC (g1,T)) * ((HC (g1,T)) ")) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((HC (G,T)) * ((HC (g1,T)) * ((HC (g1,T)) "))) * ((HT (G,T)) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G *' g1) - (((HC (G,T)) * ((HC (g1,T)) * ((HC (g1,T)) "))) * ((HT (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
1. L is non zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the OneF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HC (G,T)) * (1. L) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((HC (G,T)) * (1. L)) * ((HT (G,T)) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G *' g1) - (((HC (G,T)) * (1. L)) * ((HT (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HC (G,T)) * ((HT (G,T)) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G *' g1) - ((HC (G,T)) * ((HT (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Monom ((HC (G,T)),(HT (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Element of K15(K16((Bags n), the carrier of L))
(Monom ((HC (G,T)),(HT (G,T)))) *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G *' g1) - ((Monom ((HC (G,T)),(HT (G,T)))) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
(G *' g1) - ((HM (G,T)) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- ((HM (G,T)) *' g1) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G *' g1) + (- ((HM (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G *' g1) + (h *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
G + (- (HM (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g1 *' (G + (- (HM (G,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
G - (HM (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G - (HM (G,T))) *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable almost_left_invertible V105() associative commutative right-distributive left-distributive right_unital well-unital distributive left_unital Abelian add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
G *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
HT ((G *' g1),T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
Red (G,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (G,T)) *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
{g1} is non empty trivial functional finite 1 -element Element of K15( the carrier of (Polynom-Ring (n,L)))
Polynom-Ring (n,L) is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable strict V105() associative commutative right-distributive right_unital well-unital left_unital Abelian add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of (Polynom-Ring (n,L)) is non empty set
K15( the carrier of (Polynom-Ring (n,L))) is non empty set
g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g2 . (HT ((G *' g1),T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(G *' g1) + g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((Red (G,T)) *' g1) + g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
Support (G *' g1) is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
(G *' g1) . (HT ((G *' g1),T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
HM (G,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero monomial-like Element of K15(K16((Bags n), the carrier of L))
- (HM (G,T)) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HT (G,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(HT (G,T)) *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((G *' g1) + g2) . (HT ((G *' g1),T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
HC (g1,T) is non zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(((G *' g1) + g2) . (HT ((G *' g1),T))) / (HC (g1,T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((((G *' g1) + g2) . (HT ((G *' g1),T))) / (HC (g1,T))) * ((HT (G,T)) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((G *' g1) + g2) - (((((G *' g1) + g2) . (HT ((G *' g1),T))) / (HC (g1,T))) * ((HT (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HT (g1,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(HT (G,T)) + (HT (g1,T)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
((G *' g1) . (HT ((G *' g1),T))) + (g2 . (HT ((G *' g1),T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
Support ((G *' g1) + g2) is functional finite Element of K15((Bags n))
((G *' g1) . (HT ((G *' g1),T))) + (0. L) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(((G *' g1) . (HT ((G *' g1),T))) + (0. L)) / (HC (g1,T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((((G *' g1) . (HT ((G *' g1),T))) + (0. L)) / (HC (g1,T))) * ((HT (G,T)) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((G *' g1) + g2) - (((((G *' g1) . (HT ((G *' g1),T))) + (0. L)) / (HC (g1,T))) * ((HT (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((G *' g1) . (HT ((G *' g1),T))) / (HC (g1,T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(((G *' g1) . (HT ((G *' g1),T))) / (HC (g1,T))) * ((HT (G,T)) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((G *' g1) + g2) - ((((G *' g1) . (HT ((G *' g1),T))) / (HC (g1,T))) * ((HT (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HC ((G *' g1),T) is non zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HC ((G *' g1),T)) / (HC (g1,T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((HC ((G *' g1),T)) / (HC (g1,T))) * ((HT (G,T)) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((G *' g1) + g2) - (((HC ((G *' g1),T)) / (HC (g1,T))) * ((HT (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HC (G,T) is non zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HC (G,T)) * (HC (g1,T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((HC (G,T)) * (HC (g1,T))) / (HC (g1,T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(((HC (G,T)) * (HC (g1,T))) / (HC (g1,T))) * ((HT (G,T)) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((G *' g1) + g2) - ((((HC (G,T)) * (HC (g1,T))) / (HC (g1,T))) * ((HT (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HC (g1,T)) " is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((HC (G,T)) * (HC (g1,T))) * ((HC (g1,T)) ") is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(((HC (G,T)) * (HC (g1,T))) * ((HC (g1,T)) ")) * ((HT (G,T)) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((G *' g1) + g2) - ((((HC (G,T)) * (HC (g1,T))) * ((HC (g1,T)) ")) * ((HT (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HC (g1,T)) * ((HC (g1,T)) ") is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HC (G,T)) * ((HC (g1,T)) * ((HC (g1,T)) ")) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((HC (G,T)) * ((HC (g1,T)) * ((HC (g1,T)) "))) * ((HT (G,T)) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((G *' g1) + g2) - (((HC (G,T)) * ((HC (g1,T)) * ((HC (g1,T)) "))) * ((HT (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
1. L is non zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the OneF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HC (G,T)) * (1. L) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((HC (G,T)) * (1. L)) * ((HT (G,T)) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((G *' g1) + g2) - (((HC (G,T)) * (1. L)) * ((HT (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HC (G,T)) * ((HT (G,T)) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((G *' g1) + g2) - ((HC (G,T)) * ((HT (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Monom ((HC (G,T)),(HT (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Element of K15(K16((Bags n), the carrier of L))
(Monom ((HC (G,T)),(HT (G,T)))) *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((G *' g1) + g2) - ((Monom ((HC (G,T)),(HT (G,T)))) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
((G *' g1) + g2) - ((HM (G,T)) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- ((HM (G,T)) *' g1) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((G *' g1) + g2) + (- ((HM (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((G *' g1) + g2) + (h *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G *' g1) + (h *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((G *' g1) + (h *' g1)) + g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
G + (- (HM (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g1 *' (G + (- (HM (G,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(g1 *' (G + (- (HM (G,T))))) + g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
G - (HM (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G - (HM (G,T))) *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((G - (HM (G,T))) *' g1) + g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable almost_left_invertible V105() associative commutative right-distributive left-distributive right_unital well-unital distributive left_unital Abelian add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
Polynom-Ring (n,L) is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable strict V105() associative commutative right-distributive right_unital well-unital left_unital Abelian add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of (Polynom-Ring (n,L)) is non empty set
K15( the carrier of (Polynom-Ring (n,L))) is non empty set
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is Element of K15( the carrier of (Polynom-Ring (n,L)))
PolyRedRel (G,T) is Relation-like NonZero (Polynom-Ring (n,L)) -defined the carrier of (Polynom-Ring (n,L)) -valued Element of K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))))
NonZero (Polynom-Ring (n,L)) is Element of K15( the carrier of (Polynom-Ring (n,L)))
[#] (Polynom-Ring (n,L)) is non empty non proper Element of K15( the carrier of (Polynom-Ring (n,L)))
0. (Polynom-Ring (n,L)) is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
the ZeroF of (Polynom-Ring (n,L)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
{(0. (Polynom-Ring (n,L)))} is non empty trivial finite 1 -element set
([#] (Polynom-Ring (n,L))) \ {(0. (Polynom-Ring (n,L)))} is Element of K15( the carrier of (Polynom-Ring (n,L)))
K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))) is Relation-like set
K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L)))) is non empty set
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- g1 is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- g2 is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h is non empty Relation-like Function-like FinSequence-like RedSequence of PolyRedRel (G,T)
h . 1 is set
len h is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
h . (len h) is set
h is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
h . h is set
rp2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- rp2 is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
m is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h + 1 is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
h . (h + 1) is set
dom h is non empty Element of K15(NAT)
[(h . h),(h . (h + 1))] is V24() set
{(h . h),(h . (h + 1))} is non empty finite set
{(h . h)} is non empty trivial finite 1 -element set
{{(h . h),(h . (h + 1))},{(h . h)}} is non empty finite V31() set
m is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- m is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
[(- rp2),(- m)] is V24() set
{(- rp2),(- m)} is non empty functional finite set
{(- rp2)} is non empty trivial functional finite 1 -element set
{{(- rp2),(- m)},{(- rp2)}} is non empty finite V31() set
m is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- m is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- h is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable almost_left_invertible V105() associative commutative right-distributive left-distributive right_unital well-unital distributive left_unital Abelian add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
{h} is non empty trivial functional finite 1 -element Element of K15( the carrier of (Polynom-Ring (n,L)))
Polynom-Ring (n,L) is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable strict V105() associative commutative right-distributive right_unital well-unital left_unital Abelian add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of (Polynom-Ring (n,L)) is non empty set
K15( the carrier of (Polynom-Ring (n,L))) is non empty set
PolyRedRel ({h},T) is Relation-like NonZero (Polynom-Ring (n,L)) -defined the carrier of (Polynom-Ring (n,L)) -valued Element of K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))))
NonZero (Polynom-Ring (n,L)) is Element of K15( the carrier of (Polynom-Ring (n,L)))
[#] (Polynom-Ring (n,L)) is non empty non proper Element of K15( the carrier of (Polynom-Ring (n,L)))
0. (Polynom-Ring (n,L)) is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
the ZeroF of (Polynom-Ring (n,L)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
{(0. (Polynom-Ring (n,L)))} is non empty trivial finite 1 -element set
([#] (Polynom-Ring (n,L))) \ {(0. (Polynom-Ring (n,L)))} is Element of K15( the carrier of (Polynom-Ring (n,L)))
K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))) is Relation-like set
K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L)))) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support g2 is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
HT (h,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
G + g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g1 + g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h is non empty Relation-like Function-like FinSequence-like RedSequence of PolyRedRel ({h},T)
h . 1 is set
len h is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
h . (len h) is set
rp2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
h . rp2 is set
m is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
m + g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
m is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
rp2 + 1 is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
h . (rp2 + 1) is set
dom h is non empty Element of K15(NAT)
[(h . rp2),(h . (rp2 + 1))] is V24() set
{(h . rp2),(h . (rp2 + 1))} is non empty finite set
{(h . rp2)} is non empty trivial finite 1 -element set
{{(h . rp2),(h . (rp2 + 1))},{(h . rp2)}} is non empty finite V31() set
m + g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
[(m + g2),(m + g2)] is V24() set
{(m + g2),(m + g2)} is non empty functional finite set
{(m + g2)} is non empty trivial functional finite 1 -element set
{{(m + g2),(m + g2)},{(m + g2)}} is non empty finite V31() set
m is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
m + g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
rp2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
rp2 + g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable almost_left_invertible V105() associative commutative right-distributive left-distributive right_unital well-unital distributive left_unital Abelian add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
{g1} is non empty trivial functional finite 1 -element Element of K15( the carrier of (Polynom-Ring (n,L)))
Polynom-Ring (n,L) is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable strict V105() associative commutative right-distributive right_unital well-unital left_unital Abelian add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of (Polynom-Ring (n,L)) is non empty set
K15( the carrier of (Polynom-Ring (n,L))) is non empty set
PolyRedRel ({g1},T) is Relation-like NonZero (Polynom-Ring (n,L)) -defined the carrier of (Polynom-Ring (n,L)) -valued Element of K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))))
NonZero (Polynom-Ring (n,L)) is Element of K15( the carrier of (Polynom-Ring (n,L)))
[#] (Polynom-Ring (n,L)) is non empty non proper Element of K15( the carrier of (Polynom-Ring (n,L)))
0. (Polynom-Ring (n,L)) is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
the ZeroF of (Polynom-Ring (n,L)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
{(0. (Polynom-Ring (n,L)))} is non empty trivial finite 1 -element set
([#] (Polynom-Ring (n,L))) \ {(0. (Polynom-Ring (n,L)))} is Element of K15( the carrier of (Polynom-Ring (n,L)))
K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))) is Relation-like set
K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L)))) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
G *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
Support G is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support G) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Red (h,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support h is functional finite Element of K15((Bags n))
card (Support h) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g2 + 1 is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
rp2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
rp2 *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
(Red (h,T)) *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
[(rp2 *' g1),((Red (h,T)) *' g1)] is V24() set
{(rp2 *' g1),((Red (h,T)) *' g1)} is non empty functional finite set
{(rp2 *' g1)} is non empty trivial functional finite 1 -element set
{{(rp2 *' g1),((Red (h,T)) *' g1)},{(rp2 *' g1)}} is non empty finite V31() set
h *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HT (h,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
{(HT (h,T))} is non empty trivial functional finite 1 -element set
m is set
Support (Red (h,T)) is functional finite Element of K15((Bags n))
(Support h) \ {(HT (h,T))} is finite set
card (Support (Red (h,T))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
card {(HT (h,T))} is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(card (Support h)) - (card {(HT (h,T))}) is ext-real V52() V53() complex set
(g2 + 1) - 1 is ext-real V52() V53() complex set
g2 + 0 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support h is functional finite Element of K15((Bags n))
card (Support h) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
h *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support g2 is functional finite Element of K15((Bags n))
card (Support g2) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g2 *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support g2 is functional finite Element of K15((Bags n))
card (Support g2) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
g2 *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable almost_left_invertible V105() associative commutative right-distributive left-distributive right_unital well-unital distributive left_unital add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HT (G,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HT (g1,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
Red (G,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support (Red (G,T)) is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
Red (g1,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support (Red (g1,T)) is functional finite Element of K15((Bags n))
Support G is functional finite Element of K15((Bags n))
Support g1 is functional finite Element of K15((Bags n))
g2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(HT (G,T)) + h is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(HT (g1,T)) + g2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(Red (G,T)) . g2 is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable almost_left_invertible V105() associative commutative right-distributive left-distributive right_unital well-unital distributive left_unital Abelian add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HT (G,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HT (g1,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
S-Poly (G,g1,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HM (g1,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Element of K15(K16((Bags n), the carrier of L))
Red (G,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (g1,T)) *' (Red (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HM (G,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Element of K15(K16((Bags n), the carrier of L))
Red (g1,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' (Red (g1,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' (Red (g1,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
lcm ((HT (G,T)),(HT (g1,T))) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(HT (G,T)) + (HT (g1,T)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
((HT (G,T)) + (HT (g1,T))) / (HT (G,T)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(((HT (G,T)) + (HT (g1,T))) / (HT (G,T))) *' G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HC (g1,T) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HC (g1,T)) * ((((HT (G,T)) + (HT (g1,T))) / (HT (G,T))) *' G) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HT (G,T)) + (HT (g1,T))) / (HT (g1,T)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(((HT (G,T)) + (HT (g1,T))) / (HT (g1,T))) *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HC (G,T) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HC (G,T)) * ((((HT (G,T)) + (HT (g1,T))) / (HT (g1,T))) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HC (g1,T)) * ((((HT (G,T)) + (HT (g1,T))) / (HT (G,T))) *' G)) - ((HC (G,T)) * ((((HT (G,T)) + (HT (g1,T))) / (HT (g1,T))) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HT (g1,T)) *' G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HC (g1,T)) * ((HT (g1,T)) *' G) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HC (g1,T)) * ((HT (g1,T)) *' G)) - ((HC (G,T)) * ((((HT (G,T)) + (HT (g1,T))) / (HT (g1,T))) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HT (G,T)) *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HC (G,T)) * ((HT (G,T)) *' g1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HC (g1,T)) * ((HT (g1,T)) *' G)) - ((HC (G,T)) * ((HT (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) + (Red (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HT (g1,T)) *' ((HM (G,T)) + (Red (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HC (g1,T)) * ((HT (g1,T)) *' ((HM (G,T)) + (Red (G,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HC (g1,T)) * ((HT (g1,T)) *' ((HM (G,T)) + (Red (G,T))))) - ((HC (G,T)) * ((HT (G,T)) *' g1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (g1,T)) + (Red (g1,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HT (G,T)) *' ((HM (g1,T)) + (Red (g1,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HC (G,T)) * ((HT (G,T)) *' ((HM (g1,T)) + (Red (g1,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HC (g1,T)) * ((HT (g1,T)) *' ((HM (G,T)) + (Red (G,T))))) - ((HC (G,T)) * ((HT (G,T)) *' ((HM (g1,T)) + (Red (g1,T))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Monom ((HC (g1,T)),(HT (g1,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Element of K15(K16((Bags n), the carrier of L))
(Monom ((HC (g1,T)),(HT (g1,T)))) *' ((HM (G,T)) + (Red (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((Monom ((HC (g1,T)),(HT (g1,T)))) *' ((HM (G,T)) + (Red (G,T)))) - ((HC (G,T)) * ((HT (G,T)) *' ((HM (g1,T)) + (Red (g1,T))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Monom ((HC (G,T)),(HT (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Element of K15(K16((Bags n), the carrier of L))
(Monom ((HC (G,T)),(HT (G,T)))) *' ((HM (g1,T)) + (Red (g1,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((Monom ((HC (g1,T)),(HT (g1,T)))) *' ((HM (G,T)) + (Red (G,T)))) - ((Monom ((HC (G,T)),(HT (G,T)))) *' ((HM (g1,T)) + (Red (g1,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (g1,T)) *' ((HM (G,T)) + (Red (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' ((HM (G,T)) + (Red (G,T)))) - ((Monom ((HC (G,T)),(HT (G,T)))) *' ((HM (g1,T)) + (Red (g1,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' ((HM (g1,T)) + (Red (g1,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' ((HM (G,T)) + (Red (G,T)))) - ((HM (G,T)) *' ((HM (g1,T)) + (Red (g1,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (g1,T)) *' (HM (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (HM (G,T))) + ((HM (g1,T)) *' (Red (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (HM (G,T))) + ((HM (g1,T)) *' (Red (G,T)))) - ((HM (G,T)) *' ((HM (g1,T)) + (Red (g1,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' (HM (g1,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Element of K15(K16((Bags n), the carrier of L))
((HM (G,T)) *' (HM (g1,T))) + ((HM (G,T)) *' (Red (g1,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (HM (G,T))) + ((HM (g1,T)) *' (Red (G,T)))) - (((HM (G,T)) *' (HM (g1,T))) + ((HM (G,T)) *' (Red (g1,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- (((HM (G,T)) *' (HM (g1,T))) + ((HM (G,T)) *' (Red (g1,T)))) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (HM (G,T))) + ((HM (g1,T)) *' (Red (G,T)))) + (- (((HM (G,T)) *' (HM (g1,T))) + ((HM (G,T)) *' (Red (g1,T))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- ((HM (G,T)) *' (HM (g1,T))) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- ((HM (G,T)) *' (Red (g1,T))) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(- ((HM (G,T)) *' (HM (g1,T)))) + (- ((HM (G,T)) *' (Red (g1,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (HM (G,T))) + ((HM (g1,T)) *' (Red (G,T)))) + ((- ((HM (G,T)) *' (HM (g1,T)))) + (- ((HM (G,T)) *' (Red (g1,T))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (HM (G,T))) + ((- ((HM (G,T)) *' (HM (g1,T)))) + (- ((HM (G,T)) *' (Red (g1,T))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) + (((HM (g1,T)) *' (HM (G,T))) + ((- ((HM (G,T)) *' (HM (g1,T)))) + (- ((HM (G,T)) *' (Red (g1,T)))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (HM (G,T))) + (- ((HM (G,T)) *' (HM (g1,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (HM (G,T))) + (- ((HM (G,T)) *' (HM (g1,T))))) + (- ((HM (G,T)) *' (Red (g1,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) + ((((HM (g1,T)) *' (HM (G,T))) + (- ((HM (G,T)) *' (HM (g1,T))))) + (- ((HM (G,T)) *' (Red (g1,T))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
(0_ (n,L)) + (- ((HM (G,T)) *' (Red (g1,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) + ((0_ (n,L)) + (- ((HM (G,T)) *' (Red (g1,T))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) + (- ((HM (G,T)) *' (Red (g1,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable almost_left_invertible V105() associative commutative right-distributive left-distributive right_unital well-unital distributive left_unital Abelian add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HT (G,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HT (g1,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
S-Poly (G,g1,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Red (G,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (G,T)) *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Red (g1,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (g1,T)) *' G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((Red (G,T)) *' g1) - ((Red (g1,T)) *' G) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- (Red (G,T)) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- (Red (g1,T)) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h *' (Red (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (g1,T)) *' (Red (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- ((Red (g1,T)) *' (Red (G,T))) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g2 *' (Red (g1,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- (g2 *' (Red (g1,T))) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(h *' (Red (G,T))) + (- (g2 *' (Red (g1,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
HM (g1,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Element of K15(K16((Bags n), the carrier of L))
(HM (g1,T)) *' (Red (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HM (G,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' (Red (g1,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' (Red (g1,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g1 - (Red (g1,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(g1 - (Red (g1,T))) *' (Red (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((g1 - (Red (g1,T))) *' (Red (G,T))) - ((HM (G,T)) *' (Red (g1,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
G - (Red (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G - (Red (G,T))) *' (Red (g1,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((g1 - (Red (g1,T))) *' (Red (G,T))) - ((G - (Red (G,T))) *' (Red (g1,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g1 + (- (Red (g1,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(g1 + (- (Red (g1,T)))) *' (Red (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((g1 + (- (Red (g1,T)))) *' (Red (G,T))) - ((G - (Red (G,T))) *' (Red (g1,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
G + (- (Red (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G + (- (Red (G,T)))) *' (Red (g1,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((g1 + (- (Red (g1,T)))) *' (Red (G,T))) - ((G + (- (Red (G,T)))) *' (Red (g1,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g1 *' (Red (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(g1 *' (Red (G,T))) + (h *' (Red (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((g1 *' (Red (G,T))) + (h *' (Red (G,T)))) - ((G + (- (Red (G,T)))) *' (Red (g1,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
G *' (Red (g1,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(G *' (Red (g1,T))) + (g2 *' (Red (g1,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((g1 *' (Red (G,T))) + (h *' (Red (G,T)))) - ((G *' (Red (g1,T))) + (g2 *' (Red (g1,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- ((G *' (Red (g1,T))) + (g2 *' (Red (g1,T)))) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((g1 *' (Red (G,T))) + (h *' (Red (G,T)))) + (- ((G *' (Red (g1,T))) + (g2 *' (Red (g1,T))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- (G *' (Red (g1,T))) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(- (G *' (Red (g1,T)))) + (- (g2 *' (Red (g1,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((g1 *' (Red (G,T))) + (h *' (Red (G,T)))) + ((- (G *' (Red (g1,T)))) + (- (g2 *' (Red (g1,T))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(- (g2 *' (Red (g1,T)))) + (- (G *' (Red (g1,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(h *' (Red (G,T))) + ((- (g2 *' (Red (g1,T)))) + (- (G *' (Red (g1,T))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(g1 *' (Red (G,T))) + ((h *' (Red (G,T))) + ((- (g2 *' (Red (g1,T)))) + (- (G *' (Red (g1,T)))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(0_ (n,L)) + (- (G *' (Red (g1,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(g1 *' (Red (G,T))) + ((0_ (n,L)) + (- (G *' (Red (g1,T))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(g1 *' (Red (G,T))) + (- (G *' (Red (g1,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable almost_left_invertible V105() associative commutative right-distributive left-distributive right_unital well-unital distributive left_unital Abelian add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
HT (G,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
HT (g1,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
Red (G,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Red (g1,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
{G} is non empty trivial functional finite 1 -element Element of K15( the carrier of (Polynom-Ring (n,L)))
Polynom-Ring (n,L) is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable strict V105() associative commutative right-distributive right_unital well-unital left_unital Abelian add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of (Polynom-Ring (n,L)) is non empty set
K15( the carrier of (Polynom-Ring (n,L))) is non empty set
PolyRedRel ({G},T) is Relation-like NonZero (Polynom-Ring (n,L)) -defined the carrier of (Polynom-Ring (n,L)) -valued Element of K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))))
NonZero (Polynom-Ring (n,L)) is Element of K15( the carrier of (Polynom-Ring (n,L)))
[#] (Polynom-Ring (n,L)) is non empty non proper Element of K15( the carrier of (Polynom-Ring (n,L)))
0. (Polynom-Ring (n,L)) is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
the ZeroF of (Polynom-Ring (n,L)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
{(0. (Polynom-Ring (n,L)))} is non empty trivial finite 1 -element set
([#] (Polynom-Ring (n,L))) \ {(0. (Polynom-Ring (n,L)))} is Element of K15( the carrier of (Polynom-Ring (n,L)))
K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))) is Relation-like set
K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L)))) is non empty set
HM (g1,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero monomial-like Element of K15(K16((Bags n), the carrier of L))
(HM (g1,T)) *' (Red (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HM (G,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero monomial-like Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' (Red (g1,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' (Red (g1,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g1 *' (Red (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support g1 is functional finite Element of K15((Bags n))
K15((Bags n)) is non empty set
card (Support g1) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
1 - 1 is ext-real V52() V53() complex set
(card (Support g1)) - 1 is ext-real V52() V53() complex set
(n,T,L,g1,1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,g1,1) is functional finite Element of K15((Bags n))
(n,T,L,g1,1) is functional finite Element of K15((Bags n))
(Support g1) \ (n,T,L,g1,1) is finite set
(n,L,g1,(n,T,L,g1,1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support g1) \ (n,T,L,g1,1) is finite set
0. L is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the ZeroF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Support g1) \ (n,T,L,g1,1)) --> (0. L) is Relation-like (Support g1) \ (n,T,L,g1,1) -defined the carrier of L -valued Function-like finite V48((Support g1) \ (n,T,L,g1,1)) V49((Support g1) \ (n,T,L,g1,1), the carrier of L) finite-support Element of K15(K16(((Support g1) \ (n,T,L,g1,1)), the carrier of L))
K16(((Support g1) \ (n,T,L,g1,1)), the carrier of L) is Relation-like set
K15(K16(((Support g1) \ (n,T,L,g1,1)), the carrier of L)) is non empty set
g1 +* (((Support g1) \ (n,T,L,g1,1)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
(Red (g1,T)) - (n,T,L,g1,1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,1))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (G,T)) *' (n,T,L,g1,1) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,1)))) + ((Red (G,T)) *' (n,T,L,g1,1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (g1,T)) - (Red (g1,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' ((Red (g1,T)) - (Red (g1,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (Red (g1,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (Red (g1,T))))) + ((Red (G,T)) *' (n,T,L,g1,1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' (0_ (n,L)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' (0_ (n,L))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' (0_ (n,L)))) + ((Red (G,T)) *' (n,T,L,g1,1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) - (0_ (n,L)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) - (0_ (n,L))) + ((Red (G,T)) *' (n,T,L,g1,1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) + ((Red (G,T)) *' (n,T,L,g1,1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (G,T)) *' (Red (g1,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) + ((Red (G,T)) *' (Red (g1,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (g1,T)) + (Red (g1,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) + (Red (g1,T))) *' (Red (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
{(HT (g1,T))} is non empty trivial functional finite 1 -element set
m is set
h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
Support h is functional finite Element of K15((Bags n))
card (Support h) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(Support g1) \ {(HT (g1,T))} is finite set
card ((Support g1) \ {(HT (g1,T))}) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
card {(HT (g1,T))} is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(card (Support g1)) - (card {(HT (g1,T))}) is ext-real V52() V53() complex set
Support (n,T,L,g1,1) is functional finite Element of K15((Bags n))
card (Support (n,T,L,g1,1)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
rp2 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
m is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
m + 1 is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
(HM (g1,T)) *' g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
HT (((HM (g1,T)) *' g2),T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
HT ((HM (g1,T)),T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
HT (g2,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(HT ((HM (g1,T)),T)) + (HT (g2,T)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
HC (((HM (g1,T)) *' g2),T) is non zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((HM (g1,T)) *' g2) . ((HT ((HM (g1,T)),T)) + (HT (g2,T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
Support (Red (g1,T)) is functional finite Element of K15((Bags n))
m is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,g1,m) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,g1,m) is functional finite Element of K15((Bags n))
(n,T,L,g1,m) is functional finite Element of K15((Bags n))
(Support g1) \ (n,T,L,g1,m) is finite set
(n,L,g1,(n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support g1) \ (n,T,L,g1,m) is finite set
((Support g1) \ (n,T,L,g1,m)) --> (0. L) is Relation-like (Support g1) \ (n,T,L,g1,m) -defined the carrier of L -valued Function-like finite V48((Support g1) \ (n,T,L,g1,m)) V49((Support g1) \ (n,T,L,g1,m), the carrier of L) finite-support Element of K15(K16(((Support g1) \ (n,T,L,g1,m)), the carrier of L))
K16(((Support g1) \ (n,T,L,g1,m)), the carrier of L) is Relation-like set
K15(K16(((Support g1) \ (n,T,L,g1,m)), the carrier of L)) is non empty set
g1 +* (((Support g1) \ (n,T,L,g1,m)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,g1,m) is functional finite Element of K15((Bags n))
card (Support (n,T,L,g1,m)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
m + 1 is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,g1,(m + 1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,g1,(m + 1)) is functional finite Element of K15((Bags n))
(n,T,L,g1,(m + 1)) is functional finite Element of K15((Bags n))
(Support g1) \ (n,T,L,g1,(m + 1)) is finite set
(n,L,g1,(n,T,L,g1,(m + 1))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support g1) \ (n,T,L,g1,(m + 1)) is finite set
((Support g1) \ (n,T,L,g1,(m + 1))) --> (0. L) is Relation-like (Support g1) \ (n,T,L,g1,(m + 1)) -defined the carrier of L -valued Function-like finite V48((Support g1) \ (n,T,L,g1,(m + 1))) V49((Support g1) \ (n,T,L,g1,(m + 1)), the carrier of L) finite-support Element of K15(K16(((Support g1) \ (n,T,L,g1,(m + 1))), the carrier of L))
K16(((Support g1) \ (n,T,L,g1,(m + 1))), the carrier of L) is Relation-like set
K15(K16(((Support g1) \ (n,T,L,g1,(m + 1))), the carrier of L)) is non empty set
g1 +* (((Support g1) \ (n,T,L,g1,(m + 1))) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,g1,(m + 1)) is functional finite Element of K15((Bags n))
(Support (n,T,L,g1,m)) \ (Support (n,T,L,g1,(m + 1))) is finite set
card ((Support (n,T,L,g1,m)) \ (Support (n,T,L,g1,(m + 1)))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
card (Support (n,T,L,g1,(m + 1))) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(card (Support (n,T,L,g1,m))) - (card (Support (n,T,L,g1,(m + 1)))) is ext-real V52() V53() complex set
(m + 1) - (card (Support (n,T,L,g1,(m + 1)))) is ext-real V52() V53() complex set
HT ((n,T,L,g1,m),T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
{(HT ((n,T,L,g1,m),T))} is non empty trivial functional finite 1 -element set
card {(HT ((n,T,L,g1,m),T))} is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(Red (g1,T)) - (n,T,L,g1,(m + 1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (G,T)) *' (n,T,L,g1,(m + 1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g2 *' (n,T,L,g1,(m + 1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support (g2 *' (n,T,L,g1,(m + 1))) is functional finite Element of K15((Bags n))
Support g2 is functional finite Element of K15((Bags n))
{ (b1 + b2) where b1, b2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n : ( b1 in Support g2 & b2 in Support (n,T,L,g1,(m + 1)) ) } is set
z1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
z is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
z1 + z is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
HT ((n,T,L,g1,(m + 1)),T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(HT (g1,T)) + (HT (g2,T)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(g2 *' (n,T,L,g1,(m + 1))) . ((HT ((HM (g1,T)),T)) + (HT (g2,T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
h - (n,T,L,g1,(m + 1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' (h - (n,T,L,g1,(m + 1))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support ((HM (G,T)) *' (h - (n,T,L,g1,(m + 1)))) is functional finite Element of K15((Bags n))
Support (HM (G,T)) is functional finite Element of K15((Bags n))
Support (h - (n,T,L,g1,(m + 1))) is functional finite Element of K15((Bags n))
{ (b1 + b2) where b1, b2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n : ( b1 in Support (HM (G,T)) & b2 in Support (h - (n,T,L,g1,(m + 1))) ) } is set
- (n,T,L,g1,(m + 1)) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h + (- (n,T,L,g1,(m + 1))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support (- (n,T,L,g1,(m + 1))) is functional finite Element of K15((Bags n))
(Support h) \/ (Support (n,T,L,g1,(m + 1))) is finite set
z1 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
z is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
z1 + z is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
{(HT (G,T))} is non empty trivial functional finite 1 -element set
((HM (G,T)) *' (h - (n,T,L,g1,(m + 1)))) . ((HT ((HM (g1,T)),T)) + (HT (g2,T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
- (((HM (G,T)) *' (h - (n,T,L,g1,(m + 1)))) . ((HT ((HM (g1,T)),T)) + (HT (g2,T)))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
HT (h,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
z1 is set
z is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
z1 is set
z1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' z1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
(Red (g1,T)) + (- (n,T,L,g1,(m + 1))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Support z1 is functional finite Element of K15((Bags n))
(Support (Red (g1,T))) \/ (Support (- (n,T,L,g1,(m + 1)))) is finite set
(Support (Red (g1,T))) \/ (Support (n,T,L,g1,(m + 1))) is finite set
z is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
Support z is functional finite Element of K15((Bags n))
card (Support z) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(card (Support z)) - 1 is ext-real V52() V53() complex set
w is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,z,w) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,z,w) is functional finite Element of K15((Bags n))
(n,T,L,z,w) is functional finite Element of K15((Bags n))
(Support z) \ (n,T,L,z,w) is finite set
(n,L,z,(n,T,L,z,w)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support z) \ (n,T,L,z,w) is finite set
((Support z) \ (n,T,L,z,w)) --> (0. L) is Relation-like (Support z) \ (n,T,L,z,w) -defined the carrier of L -valued Function-like finite V48((Support z) \ (n,T,L,z,w)) V49((Support z) \ (n,T,L,z,w), the carrier of L) finite-support Element of K15(K16(((Support z) \ (n,T,L,z,w)), the carrier of L))
K16(((Support z) \ (n,T,L,z,w)), the carrier of L) is Relation-like set
K15(K16(((Support z) \ (n,T,L,z,w)), the carrier of L)) is non empty set
z +* (((Support z) \ (n,T,L,z,w)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
lowzw is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero monomial-like Element of K15(K16((Bags n), the carrier of L))
term lowzw is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(term lowzw) / (HT (G,T)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
Support ((HM (G,T)) *' z1) is functional finite Element of K15((Bags n))
{ (b1 + b2) where b1, b2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n : ( b1 in Support (HM (G,T)) & b2 in Support z1 ) } is set
w + 1 is ext-real positive non negative non empty epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
Support lowzw is functional finite Element of K15((Bags n))
{(term lowzw)} is non empty trivial functional finite 1 -element set
t9 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
t is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
t9 + t is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
term (HM (G,T)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
{(term (HM (G,T)))} is non empty trivial functional finite 1 -element set
((term lowzw) / (HT (G,T))) + (HT (G,T)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(((term lowzw) / (HT (G,T))) + (HT (G,T))) -' (HT (G,T)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(Support (Red (g1,T))) \/ (Support (Red (g1,T))) is finite set
(Red (g1,T)) . ((term lowzw) / (HT (G,T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
g1 . ((term lowzw) / (HT (G,T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,g1,(m + 1)) . ((term lowzw) / (HT (G,T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Red (g1,T)) - (n,T,L,g1,(m + 1))) . ((term lowzw) / (HT (G,T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Red (g1,T)) + (- (n,T,L,g1,(m + 1)))) . ((term lowzw) / (HT (G,T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(- (n,T,L,g1,(m + 1))) . ((term lowzw) / (HT (G,T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Red (g1,T)) . ((term lowzw) / (HT (G,T)))) + ((- (n,T,L,g1,(m + 1))) . ((term lowzw) / (HT (G,T)))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
- ((n,T,L,g1,(m + 1)) . ((term lowzw) / (HT (G,T)))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Red (g1,T)) . ((term lowzw) / (HT (G,T)))) + (- ((n,T,L,g1,(m + 1)) . ((term lowzw) / (HT (G,T))))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Red (G,T)) *' (n,T,L,g1,(m + 1))) . (term lowzw) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
Support ((Red (G,T)) *' (n,T,L,g1,(m + 1))) is functional finite Element of K15((Bags n))
Support (Red (G,T)) is functional finite Element of K15((Bags n))
{ (b1 + b2) where b1, b2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n : ( b1 in Support (Red (G,T)) & b2 in Support (n,T,L,g1,(m + 1)) ) } is set
g is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
lowz1w is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
g + lowz1w is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
Support G is functional finite Element of K15((Bags n))
(Support G) \ {(HT (G,T))} is finite set
lowz1w + g is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
Support (HM (g1,T)) is functional finite Element of K15((Bags n))
Support ((HM (g1,T)) *' (Red (G,T))) is functional finite Element of K15((Bags n))
{ (b1 + b2) where b1, b2 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n : ( b1 in Support (HM (g1,T)) & b2 in Support (Red (G,T)) ) } is set
g is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
lowz1w is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
g + lowz1w is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
r is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
{r} is non empty trivial functional finite 1 -element set
((term lowzw) / (HT (G,T))) *' G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) . (term lowzw) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
HC (G,T) is non zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) . (term lowzw)) / (HC (G,T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) . (term lowzw)) / (HC (G,T))) * (((term lowzw) / (HT (G,T))) *' G) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) - (((((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) . (term lowzw)) / (HC (G,T))) * (((term lowzw) / (HT (G,T))) *' G)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- ((HM (G,T)) *' (h - (n,T,L,g1,(m + 1)))) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' g2) + (- ((HM (G,T)) *' (h - (n,T,L,g1,(m + 1))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' g2) + (- ((HM (G,T)) *' (h - (n,T,L,g1,(m + 1)))))) + (g2 *' (n,T,L,g1,(m + 1))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((((HM (g1,T)) *' g2) + (- ((HM (G,T)) *' (h - (n,T,L,g1,(m + 1)))))) + (g2 *' (n,T,L,g1,(m + 1)))) . (term lowzw) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(((HM (g1,T)) *' g2) + (- ((HM (G,T)) *' (h - (n,T,L,g1,(m + 1)))))) . (term lowzw) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((((HM (g1,T)) *' g2) + (- ((HM (G,T)) *' (h - (n,T,L,g1,(m + 1)))))) . (term lowzw)) + (0. L) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((HM (g1,T)) *' g2) . (term lowzw) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(- ((HM (G,T)) *' (h - (n,T,L,g1,(m + 1))))) . (term lowzw) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(((HM (g1,T)) *' g2) . (term lowzw)) + ((- ((HM (G,T)) *' (h - (n,T,L,g1,(m + 1))))) . (term lowzw)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(0. L) + ((- ((HM (G,T)) *' (h - (n,T,L,g1,(m + 1))))) . (term lowzw)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((HM (G,T)) *' (h - (n,T,L,g1,(m + 1)))) . (term lowzw) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
- (((HM (G,T)) *' (h - (n,T,L,g1,(m + 1)))) . (term lowzw)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
card (Support z1) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(card (Support z1)) - 1 is ext-real V52() V53() complex set
(n,T,L,z1,w) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,z1,w) is functional finite Element of K15((Bags n))
(n,T,L,z1,w) is functional finite Element of K15((Bags n))
(Support z1) \ (n,T,L,z1,w) is finite set
(n,L,z1,(n,T,L,z1,w)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support z1) \ (n,T,L,z1,w) is finite set
((Support z1) \ (n,T,L,z1,w)) --> (0. L) is Relation-like (Support z1) \ (n,T,L,z1,w) -defined the carrier of L -valued Function-like finite V48((Support z1) \ (n,T,L,z1,w)) V49((Support z1) \ (n,T,L,z1,w), the carrier of L) finite-support Element of K15(K16(((Support z1) \ (n,T,L,z1,w)), the carrier of L))
K16(((Support z1) \ (n,T,L,z1,w)), the carrier of L) is Relation-like set
K15(K16(((Support z1) \ (n,T,L,z1,w)), the carrier of L)) is non empty set
z1 +* (((Support z1) \ (n,T,L,z1,w)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
((card (Support z1)) - 1) + 1 is ext-real V52() V53() complex set
lowz1w is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero monomial-like Element of K15(K16((Bags n), the carrier of L))
Support lowz1w is functional finite Element of K15((Bags n))
term lowz1w is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
{(term lowz1w)} is non empty trivial functional finite 1 -element set
(HM (G,T)) *' lowz1w is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero monomial-like Element of K15(K16((Bags n), the carrier of L))
term ((HM (G,T)) *' lowz1w) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(term (HM (G,T))) + (term lowz1w) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
(HT (G,T)) + (term lowz1w) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
((HT (G,T)) + (term lowz1w)) -' (HT (G,T)) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Element of K15(K16((Bags n), the carrier of L))
HM ((n,T,L,g1,m),T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Element of K15(K16((Bags n), the carrier of L))
r is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support set
((Red (g1,T)) - (n,T,L,g1,(m + 1))) . (HT ((n,T,L,g1,m),T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Red (g1,T)) + (- (n,T,L,g1,(m + 1)))) . (HT ((n,T,L,g1,m),T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(Red (g1,T)) . (HT ((n,T,L,g1,m),T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(- (n,T,L,g1,(m + 1))) . (HT ((n,T,L,g1,m),T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Red (g1,T)) . (HT ((n,T,L,g1,m),T))) + ((- (n,T,L,g1,(m + 1))) . (HT ((n,T,L,g1,m),T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,g1,(m + 1)) . (HT ((n,T,L,g1,m),T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
- ((n,T,L,g1,(m + 1)) . (HT ((n,T,L,g1,m),T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Red (g1,T)) . (HT ((n,T,L,g1,m),T))) + (- ((n,T,L,g1,(m + 1)) . (HT ((n,T,L,g1,m),T)))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
- (0. L) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Red (g1,T)) . (HT ((n,T,L,g1,m),T))) + (- (0. L)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((Red (g1,T)) . (HT ((n,T,L,g1,m),T))) + (0. L) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
u is set
u9 is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
u is set
z1 . (HT ((n,T,L,g1,m),T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HM ((n,T,L,g1,m),T)) . (HT ((n,T,L,g1,m),T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,g1,m) . ((term lowzw) / (HT (G,T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
HC ((n,T,L,g1,m),T) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(n,T,L,g1,m) . (HT ((n,T,L,g1,m),T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
Red ((n,T,L,g1,m),T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) + (Red ((n,T,L,g1,m),T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) + (n,T,L,g1,(m + 1)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (G,T)) *' z1) . (term lowzw) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
- (0. L) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
Support ((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) is functional finite Element of K15((Bags n))
((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) . ((HT ((HM (g1,T)),T)) + (HT (g2,T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((((HM (g1,T)) *' g2) + (- ((HM (G,T)) *' (h - (n,T,L,g1,(m + 1)))))) + (g2 *' (n,T,L,g1,(m + 1)))) . ((HT ((HM (g1,T)),T)) + (HT (g2,T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(((HM (g1,T)) *' g2) + (- ((HM (G,T)) *' (h - (n,T,L,g1,(m + 1)))))) . ((HT ((HM (g1,T)),T)) + (HT (g2,T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((((HM (g1,T)) *' g2) + (- ((HM (G,T)) *' (h - (n,T,L,g1,(m + 1)))))) . ((HT ((HM (g1,T)),T)) + (HT (g2,T)))) + (0. L) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(- ((HM (G,T)) *' (h - (n,T,L,g1,(m + 1))))) . ((HT ((HM (g1,T)),T)) + (HT (g2,T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(((HM (g1,T)) *' g2) . ((HT ((HM (g1,T)),T)) + (HT (g2,T)))) + ((- ((HM (G,T)) *' (h - (n,T,L,g1,(m + 1))))) . ((HT ((HM (g1,T)),T)) + (HT (g2,T)))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(((HM (g1,T)) *' g2) . ((HT ((HM (g1,T)),T)) + (HT (g2,T)))) + (0. L) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
[((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))),(((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) - (((((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) . (term lowzw)) / (HC (G,T))) * (((term lowzw) / (HT (G,T))) *' G)))] is V24() set
{((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))),(((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) - (((((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) . (term lowzw)) / (HC (G,T))) * (((term lowzw) / (HT (G,T))) *' G)))} is non empty functional finite set
{((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1))))} is non empty trivial functional finite 1 -element set
{{((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))),(((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) - (((((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) . (term lowzw)) / (HC (G,T))) * (((term lowzw) / (HT (G,T))) *' G)))},{((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1))))}} is non empty finite V31() set
HT ((HM (G,T)),T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
- (n,T,L,g1,m) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- (- (n,T,L,g1,m)) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- (- (n,T,L,g1,(m + 1))) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (G,T)) *' (h - (n,T,L,g1,(m + 1)))) . (((term lowzw) / (HT (G,T))) + (HT (G,T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HM (G,T)) . (HT (G,T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(h - (n,T,L,g1,(m + 1))) . ((term lowzw) / (HT (G,T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((HM (G,T)) . (HT (G,T))) * ((h - (n,T,L,g1,(m + 1))) . ((term lowzw) / (HT (G,T)))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
G . (HT (G,T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(G . (HT (G,T))) * ((h - (n,T,L,g1,(m + 1))) . ((term lowzw) / (HT (G,T)))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HC (G,T)) * ((h - (n,T,L,g1,(m + 1))) . ((term lowzw) / (HT (G,T)))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(h + (- (n,T,L,g1,(m + 1)))) . ((term lowzw) / (HT (G,T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HC (G,T)) * ((h + (- (n,T,L,g1,(m + 1)))) . ((term lowzw) / (HT (G,T)))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
h . ((term lowzw) / (HT (G,T))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(h . ((term lowzw) / (HT (G,T)))) + ((- (n,T,L,g1,(m + 1))) . ((term lowzw) / (HT (G,T)))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HC (G,T)) * ((h . ((term lowzw) / (HT (G,T)))) + ((- (n,T,L,g1,(m + 1))) . ((term lowzw) / (HT (G,T))))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(g1 . ((term lowzw) / (HT (G,T)))) + ((- (n,T,L,g1,(m + 1))) . ((term lowzw) / (HT (G,T)))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HC (G,T)) * ((g1 . ((term lowzw) / (HT (G,T)))) + ((- (n,T,L,g1,(m + 1))) . ((term lowzw) / (HT (G,T))))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(g1 . ((term lowzw) / (HT (G,T)))) + (- ((n,T,L,g1,(m + 1)) . ((term lowzw) / (HT (G,T))))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HC (G,T)) * ((g1 . ((term lowzw) / (HT (G,T)))) + (- ((n,T,L,g1,(m + 1)) . ((term lowzw) / (HT (G,T)))))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(g1 . ((term lowzw) / (HT (G,T)))) + (0. L) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HC (G,T)) * ((g1 . ((term lowzw) / (HT (G,T)))) + (0. L)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HC (G,T)) * (g1 . ((term lowzw) / (HT (G,T)))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
- (g1 . ((term lowzw) / (HT (G,T)))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(HC (G,T)) * (- (g1 . ((term lowzw) / (HT (G,T))))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((HC (G,T)) * (- (g1 . ((term lowzw) / (HT (G,T)))))) / (HC (G,T)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(((HC (G,T)) * (- (g1 . ((term lowzw) / (HT (G,T)))))) / (HC (G,T))) * (((term lowzw) / (HT (G,T))) *' G) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HC (G,T)) " is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((HC (G,T)) * (- (g1 . ((term lowzw) / (HT (G,T)))))) * ((HC (G,T)) ") is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(((HC (G,T)) * (- (g1 . ((term lowzw) / (HT (G,T)))))) * ((HC (G,T)) ")) * (((term lowzw) / (HT (G,T))) *' G) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HC (G,T)) * ((HC (G,T)) ") is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(- (g1 . ((term lowzw) / (HT (G,T))))) * ((HC (G,T)) * ((HC (G,T)) ")) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((- (g1 . ((term lowzw) / (HT (G,T))))) * ((HC (G,T)) * ((HC (G,T)) "))) * (((term lowzw) / (HT (G,T))) *' G) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
1. L is non zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
the OneF of L is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(- (g1 . ((term lowzw) / (HT (G,T))))) * (1. L) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
((- (g1 . ((term lowzw) / (HT (G,T))))) * (1. L)) * (((term lowzw) / (HT (G,T))) *' G) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(- (g1 . ((term lowzw) / (HT (G,T))))) * (((term lowzw) / (HT (G,T))) *' G) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- ((- (g1 . ((term lowzw) / (HT (G,T))))) * (((term lowzw) / (HT (G,T))) *' G)) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) + (- ((- (g1 . ((term lowzw) / (HT (G,T))))) * (((term lowzw) / (HT (G,T))) *' G))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- (- (g1 . ((term lowzw) / (HT (G,T))))) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of L
(- (- (g1 . ((term lowzw) / (HT (G,T)))))) * (((term lowzw) / (HT (G,T))) *' G) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) + ((- (- (g1 . ((term lowzw) / (HT (G,T)))))) * (((term lowzw) / (HT (G,T))) *' G)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(g1 . ((term lowzw) / (HT (G,T)))) * (((term lowzw) / (HT (G,T))) *' G) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) + ((g1 . ((term lowzw) / (HT (G,T)))) * (((term lowzw) / (HT (G,T))) *' G)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' G) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) + (Red (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' ((HM (G,T)) + (Red (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' ((HM (G,T)) + (Red (G,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (HM (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Element of K15(K16((Bags n), the carrier of L))
(Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (Red (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (HM (G,T))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (Red (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) + (((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (HM (G,T))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (Red (G,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1)))) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) + (- ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) + (- ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1)))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((((HM (g1,T)) *' (Red (G,T))) + (- ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1)))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) + (((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (HM (G,T))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (Red (G,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((((HM (g1,T)) *' (Red (G,T))) + (- ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1)))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (HM (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((((HM (g1,T)) *' (Red (G,T))) + (- ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1)))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (HM (G,T)))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (Red (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) + (- ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1)))))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (HM (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((((HM (g1,T)) *' (Red (G,T))) + (- ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1)))))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (HM (G,T)))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((((HM (g1,T)) *' (Red (G,T))) + (- ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,(m + 1)))))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (HM (G,T)))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (Red (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- ((Red (g1,T)) - (n,T,L,g1,(m + 1))) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' (- ((Red (g1,T)) - (n,T,L,g1,(m + 1)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) + ((HM (G,T)) *' (- ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) + ((HM (G,T)) *' (- ((Red (g1,T)) - (n,T,L,g1,(m + 1)))))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (HM (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((((HM (g1,T)) *' (Red (G,T))) + ((HM (G,T)) *' (- ((Red (g1,T)) - (n,T,L,g1,(m + 1)))))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (HM (G,T)))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((((HM (g1,T)) *' (Red (G,T))) + ((HM (G,T)) *' (- ((Red (g1,T)) - (n,T,L,g1,(m + 1)))))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (HM (G,T)))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (Red (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (G,T)) *' (- ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (HM (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) + (((HM (G,T)) *' (- ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (HM (G,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) + (((HM (G,T)) *' (- ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (HM (G,T))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((((HM (g1,T)) *' (Red (G,T))) + (((HM (G,T)) *' (- ((Red (g1,T)) - (n,T,L,g1,(m + 1))))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (HM (G,T))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (Red (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(- ((Red (g1,T)) - (n,T,L,g1,(m + 1)))) + (Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' ((- ((Red (g1,T)) - (n,T,L,g1,(m + 1)))) + (Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T)))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) + ((HM (G,T)) *' ((- ((Red (g1,T)) - (n,T,L,g1,(m + 1)))) + (Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) + ((HM (G,T)) *' ((- ((Red (g1,T)) - (n,T,L,g1,(m + 1)))) + (Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T)))))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((((HM (g1,T)) *' (Red (G,T))) + ((HM (G,T)) *' ((- ((Red (g1,T)) - (n,T,L,g1,(m + 1)))) + (Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T)))))))) + ((Red (G,T)) *' (n,T,L,g1,(m + 1)))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (Red (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((Red (G,T)) *' (n,T,L,g1,(m + 1))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (Red (G,T))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) + ((HM (G,T)) *' ((- ((Red (g1,T)) - (n,T,L,g1,(m + 1)))) + (Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T)))))))) + (((Red (G,T)) *' (n,T,L,g1,(m + 1))) + ((Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) *' (Red (G,T)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (G,T)) *' (n,T,L,g1,m) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) + ((HM (G,T)) *' ((- ((Red (g1,T)) - (n,T,L,g1,(m + 1)))) + (Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T)))))))) + ((Red (G,T)) *' (n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- ((Red (g1,T)) + (- (n,T,L,g1,(m + 1)))) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(- ((Red (g1,T)) + (- (n,T,L,g1,(m + 1))))) + (Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' ((- ((Red (g1,T)) + (- (n,T,L,g1,(m + 1))))) + (Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T)))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) + ((HM (G,T)) *' ((- ((Red (g1,T)) + (- (n,T,L,g1,(m + 1))))) + (Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) + ((HM (G,T)) *' ((- ((Red (g1,T)) + (- (n,T,L,g1,(m + 1))))) + (Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T)))))))) + ((Red (G,T)) *' (n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- (Red (g1,T)) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(- (Red (g1,T))) + (- (- (n,T,L,g1,(m + 1)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((- (Red (g1,T))) + (- (- (n,T,L,g1,(m + 1))))) + (Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' (((- (Red (g1,T))) + (- (- (n,T,L,g1,(m + 1))))) + (Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T)))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) + ((HM (G,T)) *' (((- (Red (g1,T))) + (- (- (n,T,L,g1,(m + 1))))) + (Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T))))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) + ((HM (G,T)) *' (((- (Red (g1,T))) + (- (- (n,T,L,g1,(m + 1))))) + (Monom ((g1 . ((term lowzw) / (HT (G,T)))),((term lowzw) / (HT (G,T)))))))) + ((Red (G,T)) *' (n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(- (Red (g1,T))) + (- (- (n,T,L,g1,m))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' ((- (Red (g1,T))) + (- (- (n,T,L,g1,m)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) + ((HM (G,T)) *' ((- (Red (g1,T))) + (- (- (n,T,L,g1,m))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) + ((HM (G,T)) *' ((- (Red (g1,T))) + (- (- (n,T,L,g1,m)))))) + ((Red (G,T)) *' (n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (g1,T)) + (- (n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- ((Red (g1,T)) + (- (n,T,L,g1,m))) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' (- ((Red (g1,T)) + (- (n,T,L,g1,m)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) + ((HM (G,T)) *' (- ((Red (g1,T)) + (- (n,T,L,g1,m))))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) + ((HM (G,T)) *' (- ((Red (g1,T)) + (- (n,T,L,g1,m)))))) + ((Red (G,T)) *' (n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (g1,T)) - (n,T,L,g1,m) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- ((Red (g1,T)) - (n,T,L,g1,m)) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' (- ((Red (g1,T)) - (n,T,L,g1,m))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) + ((HM (G,T)) *' (- ((Red (g1,T)) - (n,T,L,g1,m)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) + ((HM (G,T)) *' (- ((Red (g1,T)) - (n,T,L,g1,m))))) + ((Red (G,T)) *' (n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,m))) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) + (- ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,m)))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) + (- ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,m))))) + ((Red (G,T)) *' (n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,m))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,m)))) + ((Red (G,T)) *' (n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
m is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,g1,m) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,g1,m) is functional finite Element of K15((Bags n))
(n,T,L,g1,m) is functional finite Element of K15((Bags n))
(Support g1) \ (n,T,L,g1,m) is finite set
(n,L,g1,(n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support g1) \ (n,T,L,g1,m) is finite set
((Support g1) \ (n,T,L,g1,m)) --> (0. L) is Relation-like (Support g1) \ (n,T,L,g1,m) -defined the carrier of L -valued Function-like finite V48((Support g1) \ (n,T,L,g1,m)) V49((Support g1) \ (n,T,L,g1,m), the carrier of L) finite-support Element of K15(K16(((Support g1) \ (n,T,L,g1,m)), the carrier of L))
K16(((Support g1) \ (n,T,L,g1,m)), the carrier of L) is Relation-like set
K15(K16(((Support g1) \ (n,T,L,g1,m)), the carrier of L)) is non empty set
g1 +* (((Support g1) \ (n,T,L,g1,m)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,g1,m) is functional finite Element of K15((Bags n))
card (Support (n,T,L,g1,m)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(Red (g1,T)) - (n,T,L,g1,m) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,m))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (G,T)) *' (n,T,L,g1,m) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,m)))) + ((Red (G,T)) *' (n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
m is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,g1,m) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,g1,m) is functional finite Element of K15((Bags n))
(n,T,L,g1,m) is functional finite Element of K15((Bags n))
(Support g1) \ (n,T,L,g1,m) is finite set
(n,L,g1,(n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support g1) \ (n,T,L,g1,m) is finite set
((Support g1) \ (n,T,L,g1,m)) --> (0. L) is Relation-like (Support g1) \ (n,T,L,g1,m) -defined the carrier of L -valued Function-like finite V48((Support g1) \ (n,T,L,g1,m)) V49((Support g1) \ (n,T,L,g1,m), the carrier of L) finite-support Element of K15(K16(((Support g1) \ (n,T,L,g1,m)), the carrier of L))
K16(((Support g1) \ (n,T,L,g1,m)), the carrier of L) is Relation-like set
K15(K16(((Support g1) \ (n,T,L,g1,m)), the carrier of L)) is non empty set
g1 +* (((Support g1) \ (n,T,L,g1,m)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,g1,m) is functional finite Element of K15((Bags n))
card (Support (n,T,L,g1,m)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(Red (g1,T)) - (n,T,L,g1,m) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,m))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (G,T)) *' (n,T,L,g1,m) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,m)))) + ((Red (G,T)) *' (n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
m9 is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,g1,m9) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,g1,m9) is functional finite Element of K15((Bags n))
(n,T,L,g1,m9) is functional finite Element of K15((Bags n))
(Support g1) \ (n,T,L,g1,m9) is finite set
(n,L,g1,(n,T,L,g1,m9)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support g1) \ (n,T,L,g1,m9) is finite set
((Support g1) \ (n,T,L,g1,m9)) --> (0. L) is Relation-like (Support g1) \ (n,T,L,g1,m9) -defined the carrier of L -valued Function-like finite V48((Support g1) \ (n,T,L,g1,m9)) V49((Support g1) \ (n,T,L,g1,m9), the carrier of L) finite-support Element of K15(K16(((Support g1) \ (n,T,L,g1,m9)), the carrier of L))
K16(((Support g1) \ (n,T,L,g1,m9)), the carrier of L) is Relation-like set
K15(K16(((Support g1) \ (n,T,L,g1,m9)), the carrier of L)) is non empty set
g1 +* (((Support g1) \ (n,T,L,g1,m9)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,g1,m9) is functional finite Element of K15((Bags n))
card (Support (n,T,L,g1,m9)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(Red (g1,T)) - (n,T,L,g1,m9) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,m9)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,m9))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (G,T)) *' (n,T,L,g1,m9) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,m9)))) + ((Red (G,T)) *' (n,T,L,g1,m9)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
m is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
(n,T,L,g1,m) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(n,T,L,g1,m) is functional finite Element of K15((Bags n))
(n,T,L,g1,m) is functional finite Element of K15((Bags n))
(Support g1) \ (n,T,L,g1,m) is finite set
(n,L,g1,(n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Support g1) \ (n,T,L,g1,m) is finite set
((Support g1) \ (n,T,L,g1,m)) --> (0. L) is Relation-like (Support g1) \ (n,T,L,g1,m) -defined the carrier of L -valued Function-like finite V48((Support g1) \ (n,T,L,g1,m)) V49((Support g1) \ (n,T,L,g1,m), the carrier of L) finite-support Element of K15(K16(((Support g1) \ (n,T,L,g1,m)), the carrier of L))
K16(((Support g1) \ (n,T,L,g1,m)), the carrier of L) is Relation-like set
K15(K16(((Support g1) \ (n,T,L,g1,m)), the carrier of L)) is non empty set
g1 +* (((Support g1) \ (n,T,L,g1,m)) --> (0. L)) is non empty Relation-like the carrier of L -valued Function-like set
Support (n,T,L,g1,m) is functional finite Element of K15((Bags n))
card (Support (n,T,L,g1,m)) is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of omega
(Red (g1,T)) - (n,T,L,g1,m) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,m))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (G,T)) *' (n,T,L,g1,m) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' ((Red (g1,T)) - (n,T,L,g1,m)))) + ((Red (G,T)) *' (n,T,L,g1,m)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (G,T)) *' (0_ (n,L)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' (Red (g1,T)))) + ((Red (G,T)) *' (0_ (n,L))) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(((HM (g1,T)) *' (Red (G,T))) - ((HM (G,T)) *' (Red (g1,T)))) + (0_ (n,L)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
n is epsilon-transitive epsilon-connected ordinal set
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable almost_left_invertible V105() associative commutative right-distributive left-distributive right_unital well-unital distributive left_unital Abelian add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HT (G,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HT (g1,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
(n,L,G,g1) is non empty functional finite Element of K15( the carrier of (Polynom-Ring (n,L)))
Polynom-Ring (n,L) is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable strict V105() associative commutative right-distributive right_unital well-unital left_unital Abelian add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of (Polynom-Ring (n,L)) is non empty set
K15( the carrier of (Polynom-Ring (n,L))) is non empty set
PolyRedRel ((n,L,G,g1),T) is Relation-like NonZero (Polynom-Ring (n,L)) -defined the carrier of (Polynom-Ring (n,L)) -valued Element of K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))))
NonZero (Polynom-Ring (n,L)) is Element of K15( the carrier of (Polynom-Ring (n,L)))
[#] (Polynom-Ring (n,L)) is non empty non proper Element of K15( the carrier of (Polynom-Ring (n,L)))
0. (Polynom-Ring (n,L)) is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
the ZeroF of (Polynom-Ring (n,L)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
{(0. (Polynom-Ring (n,L)))} is non empty trivial finite 1 -element set
([#] (Polynom-Ring (n,L))) \ {(0. (Polynom-Ring (n,L)))} is Element of K15( the carrier of (Polynom-Ring (n,L)))
K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))) is Relation-like set
K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L)))) is non empty set
S-Poly (G,g1,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Red (G,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (G,T)) *' g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
Red (g1,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(Red (g1,T)) *' G is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((Red (G,T)) *' g1) - ((Red (g1,T)) *' G) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(0_ (n,L)) - (0_ (n,L)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h is set
{g1} is non empty trivial functional finite 1 -element Element of K15( the carrier of (Polynom-Ring (n,L)))
PolyRedRel ({g1},T) is Relation-like NonZero (Polynom-Ring (n,L)) -defined the carrier of (Polynom-Ring (n,L)) -valued Element of K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))))
h is set
{G} is non empty trivial functional finite 1 -element Element of K15( the carrier of (Polynom-Ring (n,L)))
PolyRedRel ({G},T) is Relation-like NonZero (Polynom-Ring (n,L)) -defined the carrier of (Polynom-Ring (n,L)) -valued Element of K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))))
(0_ (n,L)) - (0_ (n,L)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(0_ (n,L)) - ((Red (g1,T)) *' G) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
(0_ (n,L)) - (0_ (n,L)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
{g2} is non empty trivial functional finite 1 -element Element of K15( the carrier of (Polynom-Ring (n,L)))
PolyRedRel ({g2},T) is Relation-like NonZero (Polynom-Ring (n,L)) -defined the carrier of (Polynom-Ring (n,L)) -valued Element of K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))))
h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
h *' g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
- (h *' g2) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
- (0_ (n,L)) is non empty Relation-like Bags n -defined Bags n -defined the carrier of L -valued Function-like V48( Bags n) V48( Bags n) V49( Bags n, the carrier of L) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
((Red (G,T)) *' g1) - (0_ (n,L)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
{h} is non empty trivial functional finite 1 -element Element of K15( the carrier of (Polynom-Ring (n,L)))
PolyRedRel ({h},T) is Relation-like NonZero (Polynom-Ring (n,L)) -defined the carrier of (Polynom-Ring (n,L)) -valued Element of K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))))
h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
h *' h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
HM (h,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero monomial-like Element of K15(K16((Bags n), the carrier of L))
h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
(HM (h,T)) *' h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
HM (g2,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero monomial-like Element of K15(K16((Bags n), the carrier of L))
rp2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
(HM (g2,T)) *' rp2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
((HM (h,T)) *' h) - ((HM (g2,T)) *' rp2) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g1 *' (Red (G,T)) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h *' h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support non-zero Element of K15(K16((Bags n), the carrier of L))
n is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive V261() admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable almost_left_invertible V105() associative commutative right-distributive left-distributive right_unital well-unital distributive left_unital Abelian add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
Polynom-Ring (n,L) is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable strict V105() associative commutative right-distributive right_unital well-unital left_unital Abelian add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of (Polynom-Ring (n,L)) is non empty set
K15( the carrier of (Polynom-Ring (n,L))) is non empty set
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
G is Element of K15( the carrier of (Polynom-Ring (n,L)))
PolyRedRel (G,T) is Relation-like NonZero (Polynom-Ring (n,L)) -defined the carrier of (Polynom-Ring (n,L)) -valued co-well_founded weakly-normalizing strongly-normalizing irreflexive Element of K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))))
NonZero (Polynom-Ring (n,L)) is Element of K15( the carrier of (Polynom-Ring (n,L)))
[#] (Polynom-Ring (n,L)) is non empty non proper Element of K15( the carrier of (Polynom-Ring (n,L)))
0. (Polynom-Ring (n,L)) is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
the ZeroF of (Polynom-Ring (n,L)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
{(0. (Polynom-Ring (n,L)))} is non empty trivial finite 1 -element set
([#] (Polynom-Ring (n,L))) \ {(0. (Polynom-Ring (n,L)))} is Element of K15( the carrier of (Polynom-Ring (n,L)))
K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))) is Relation-like set
K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L)))) is non empty set
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
S-Poly (g1,g2,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HT (g1,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
HT (g2,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
S-Poly (g1,g2,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
n is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive V261() admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable almost_left_invertible V105() associative commutative right-distributive left-distributive right_unital well-unital distributive left_unital Abelian add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
Polynom-Ring (n,L) is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable strict V105() associative commutative right-distributive right_unital well-unital left_unital Abelian add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of (Polynom-Ring (n,L)) is non empty set
K15( the carrier of (Polynom-Ring (n,L))) is non empty set
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is Element of K15( the carrier of (Polynom-Ring (n,L)))
PolyRedRel (G,T) is Relation-like NonZero (Polynom-Ring (n,L)) -defined the carrier of (Polynom-Ring (n,L)) -valued co-well_founded weakly-normalizing strongly-normalizing irreflexive Element of K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))))
NonZero (Polynom-Ring (n,L)) is Element of K15( the carrier of (Polynom-Ring (n,L)))
[#] (Polynom-Ring (n,L)) is non empty non proper Element of K15( the carrier of (Polynom-Ring (n,L)))
0. (Polynom-Ring (n,L)) is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
the ZeroF of (Polynom-Ring (n,L)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
{(0. (Polynom-Ring (n,L)))} is non empty trivial finite 1 -element set
([#] (Polynom-Ring (n,L))) \ {(0. (Polynom-Ring (n,L)))} is Element of K15( the carrier of (Polynom-Ring (n,L)))
K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))) is Relation-like set
K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L)))) is non empty set
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
S-Poly (g1,g2,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HT (g1,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
HT (g2,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
h is set
(n,L,g1,g2) is non empty functional finite Element of K15( the carrier of (Polynom-Ring (n,L)))
PolyRedRel ((n,L,g1,g2),T) is Relation-like NonZero (Polynom-Ring (n,L)) -defined the carrier of (Polynom-Ring (n,L)) -valued co-well_founded weakly-normalizing strongly-normalizing irreflexive Element of K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))))
HT (g1,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
HT (g2,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
HT (g1,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
HT (g2,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
HT (g1,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
HT (g2,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HT (g1,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
HT (g2,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
S-Poly (g1,g2,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
n is ext-real non negative epsilon-transitive epsilon-connected ordinal natural finite cardinal V52() V53() complex Element of NAT
Bags n is non empty functional Element of K15((Bags n))
Bags n is non empty set
K15((Bags n)) is non empty set
K16((Bags n),(Bags n)) is non empty Relation-like set
K15(K16((Bags n),(Bags n))) is non empty set
T is Relation-like Bags n -defined Bags n -valued V48( Bags n) V49( Bags n, Bags n) reflexive antisymmetric connected transitive V261() admissible Element of K15(K16((Bags n),(Bags n)))
L is non empty non degenerated non trivial left_add-cancelable right_add-cancelable add-cancelable right_complementable almost_left_invertible V105() associative commutative right-distributive left-distributive right_unital well-unital distributive left_unital Abelian add-associative right_zeroed domRing-like left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
Polynom-Ring (n,L) is non empty left_add-cancelable right_add-cancelable add-cancelable right_complementable strict V105() associative commutative right-distributive right_unital well-unital left_unital Abelian add-associative right_zeroed left_zeroed add-left-invertible add-right-invertible Loop-like doubleLoopStr
the carrier of (Polynom-Ring (n,L)) is non empty set
K15( the carrier of (Polynom-Ring (n,L))) is non empty set
0_ (n,L) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support monomial-like Constant Element of K15(K16((Bags n), the carrier of L))
the carrier of L is non empty non trivial set
K16((Bags n), the carrier of L) is non empty Relation-like set
K15(K16((Bags n), the carrier of L)) is non empty set
G is Element of K15( the carrier of (Polynom-Ring (n,L)))
PolyRedRel (G,T) is Relation-like NonZero (Polynom-Ring (n,L)) -defined the carrier of (Polynom-Ring (n,L)) -valued co-well_founded weakly-normalizing strongly-normalizing irreflexive Element of K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))))
NonZero (Polynom-Ring (n,L)) is Element of K15( the carrier of (Polynom-Ring (n,L)))
[#] (Polynom-Ring (n,L)) is non empty non proper Element of K15( the carrier of (Polynom-Ring (n,L)))
0. (Polynom-Ring (n,L)) is zero left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
the ZeroF of (Polynom-Ring (n,L)) is left_add-cancelable right_add-cancelable add-cancelable right_complementable Element of the carrier of (Polynom-Ring (n,L))
{(0. (Polynom-Ring (n,L)))} is non empty trivial finite 1 -element set
([#] (Polynom-Ring (n,L))) \ {(0. (Polynom-Ring (n,L)))} is Element of K15( the carrier of (Polynom-Ring (n,L)))
K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))) is Relation-like set
K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L)))) is non empty set
g1 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
g2 is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
S-Poly (g1,g2,T) is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HT (g1,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
HT (g2,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
h is set
(n,L,g1,g2) is non empty functional finite Element of K15( the carrier of (Polynom-Ring (n,L)))
PolyRedRel ((n,L,g1,g2),T) is Relation-like NonZero (Polynom-Ring (n,L)) -defined the carrier of (Polynom-Ring (n,L)) -valued co-well_founded weakly-normalizing strongly-normalizing irreflexive Element of K15(K16((NonZero (Polynom-Ring (n,L))), the carrier of (Polynom-Ring (n,L))))
HT (g1,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
HT (g2,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
field (PolyRedRel (G,T)) is set
field (PolyRedRel (G,T)) is set
field (PolyRedRel (G,T)) is set
field (PolyRedRel (G,T)) is set
h is set
h is non empty Relation-like Bags n -defined the carrier of L -valued Function-like V48( Bags n) V49( Bags n, the carrier of L) finite-Support Element of K15(K16((Bags n), the carrier of L))
HT (g1,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
HT (g2,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
HT (g1,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n
HT (g2,T) is Relation-like n -defined RAT -valued Function-like V48(n) V240() V241() V242() V243() finite-support Element of Bags n