:: MATRIXJ1 semantic presentation

REAL is set
NAT is non empty non trivial V24() V25() V26() V33() cardinal limit_cardinal Element of bool REAL
bool REAL is set
NAT is non empty non trivial V24() V25() V26() V33() cardinal limit_cardinal set
bool NAT is non trivial V33() set
bool NAT is non trivial V33() set
INT is set
1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
2 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
COMPLEX is set
RAT is set
[:REAL,REAL:] is Relation-like set
bool [:REAL,REAL:] is set
{} is Relation-like non-empty empty-yielding RAT -valued functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() set
{{},1} is non empty V33() V37() set
K577() is set
bool K577() is set
K578() is Element of bool K577()
[:COMPLEX,COMPLEX:] is Relation-like set
bool [:COMPLEX,COMPLEX:] is set
[:[:COMPLEX,COMPLEX:],COMPLEX:] is Relation-like set
bool [:[:COMPLEX,COMPLEX:],COMPLEX:] is set
[:[:REAL,REAL:],REAL:] is Relation-like set
bool [:[:REAL,REAL:],REAL:] is set
[:RAT,RAT:] is Relation-like set
bool [:RAT,RAT:] is set
[:[:RAT,RAT:],RAT:] is Relation-like set
bool [:[:RAT,RAT:],RAT:] is set
[:INT,INT:] is Relation-like set
bool [:INT,INT:] is set
[:[:INT,INT:],INT:] is Relation-like set
bool [:[:INT,INT:],INT:] is set
[:NAT,NAT:] is Relation-like non trivial V33() set
[:[:NAT,NAT:],NAT:] is Relation-like non trivial V33() set
bool [:[:NAT,NAT:],NAT:] is non trivial V33() set
K680() is set
3 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
0 is Relation-like non-empty empty-yielding RAT -valued functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() Element of NAT
Seg 1 is non empty trivial V15() V33() 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= 1 ) } is set
{1} is non empty trivial V33() V37() 1 -element set
Seg 2 is non empty V15() V33() 2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= 2 ) } is set
{1,2} is non empty V33() V37() set
<*> REAL is Relation-like non-empty empty-yielding NAT -defined REAL -valued RAT -valued Function-like functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() FinSequence of REAL
K539((<*> REAL)) is V31() ext-real V141() Element of REAL
card {} is Relation-like non-empty empty-yielding RAT -valued functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() set
K is non empty addLoopStr
the carrier of K is non empty set
R1 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
R1 + R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the addF of K is Relation-like Function-like V21([: the carrier of K, the carrier of K:], the carrier of K) Element of bool [:[: the carrier of K, the carrier of K:], the carrier of K:]
[: the carrier of K, the carrier of K:] is Relation-like set
[:[: the carrier of K, the carrier of K:], the carrier of K:] is Relation-like set
bool [:[: the carrier of K, the carrier of K:], the carrier of K:] is set
the addF of K .: (R1,R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
dom (R1 + R2) is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
dom R2 is V33() Element of bool NAT
(dom R1) /\ (dom R2) is V33() Element of bool NAT
rng R2 is V33() set
rng R1 is V33() set
[:(rng R1),(rng R2):] is Relation-like V33() set
dom the addF of K is set
K is non empty addLoopStr
the carrier of K is non empty set
R1 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 + R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the addF of K is Relation-like Function-like V21([: the carrier of K, the carrier of K:], the carrier of K) Element of bool [:[: the carrier of K, the carrier of K:], the carrier of K:]
[: the carrier of K, the carrier of K:] is Relation-like set
[:[: the carrier of K, the carrier of K:], the carrier of K:] is Relation-like set
bool [:[: the carrier of K, the carrier of K:], the carrier of K:] is set
the addF of K .: (R1,R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
R1 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
R1 + R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the addF of K .: (R1,R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(R1 + R2) ^ (R1 + R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
R1 ^ R1 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
R2 ^ R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(R1 ^ R1) + (R2 ^ R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the addF of K .: ((R1 ^ R1),(R2 ^ R2)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
dom R1 is V33() Element of bool NAT
dom R2 is V33() Element of bool NAT
dom R2 is V33() Element of bool NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len R2) is V15() V33() len R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R2 ) } is set
dom R1 is V33() Element of bool NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len R1) is V15() V33() len R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R1 ) } is set
dom (R1 ^ R1) is V33() Element of bool NAT
(len R1) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg ((len R1) + (len R1)) is V15() V33() (len R1) + (len R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (len R1) + (len R1) ) } is set
dom (R2 ^ R2) is V33() Element of bool NAT
(len R2) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg ((len R2) + (len R2)) is V15() V33() (len R2) + (len R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (len R2) + (len R2) ) } is set
dom (R1 + R2) is V33() Element of bool NAT
(dom R1) /\ (dom R2) is V33() Element of bool NAT
dom (R1 + R2) is V33() Element of bool NAT
(dom R1) /\ (dom R2) is V33() Element of bool NAT
len (R1 + R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ((R1 ^ R1) + (R2 ^ R2)) is V33() Element of bool NAT
(dom (R1 ^ R1)) /\ (dom (R2 ^ R2)) is V33() Element of bool NAT
len (R1 + R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ((R1 + R2) ^ (R1 + R2)) is V33() Element of bool NAT
len (R1 + R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ((R1 + R2) ^ (R1 + R2)) is V33() Element of bool NAT
dom ((R1 + R2) ^ (R1 + R2)) is V33() Element of bool NAT
dom ((R1 + R2) ^ (R1 + R2)) is V33() Element of bool NAT
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 . b2 is set
(R2 ^ R2) . b2 is set
R2 /. b2 is Element of the carrier of K
R1 . b2 is set
(R1 ^ R1) . b2 is set
R1 /. b2 is Element of the carrier of K
((R1 + R2) ^ (R1 + R2)) . b2 is set
(R1 + R2) . b2 is set
(R1 /. b2) + (R2 /. b2) is Element of the carrier of K
((R1 ^ R1) + (R2 ^ R2)) . b2 is set
b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len (R1 + R2)) + b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len (R1 + R2)) + b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R1 ^ R1) . b2 is set
R1 . b1 is set
R1 /. b1 is Element of the carrier of K
(R2 ^ R2) . b2 is set
R2 . b1 is set
R2 /. b1 is Element of the carrier of K
((R1 + R2) ^ (R1 + R2)) . b2 is set
(R1 + R2) . b1 is set
(R1 /. b1) + (R2 /. b1) is Element of the carrier of K
((R1 ^ R1) + (R2 ^ R2)) . b2 is set
((R1 + R2) ^ (R1 + R2)) . b2 is set
((R1 ^ R1) + (R2 ^ R2)) . b2 is set
((R1 + R2) ^ (R1 + R2)) . b2 is set
((R1 ^ R1) + (R2 ^ R2)) . b2 is set
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is non empty set
R2 is Relation-like NAT -defined R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of R1
dom R2 is V33() Element of bool NAT
R1 is Relation-like NAT -defined R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of R1
R2 ^ R1 is Relation-like NAT -defined R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of R1
Del ((R2 ^ R1),K) is Relation-like NAT -defined R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of R1
Del (R2,K) is Relation-like NAT -defined R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of R1
(Del (R2,K)) ^ R1 is Relation-like NAT -defined R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of R1
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (Del (R2,K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
b2 + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
len (R2 ^ R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len (R2 ^ R1)) is V15() V33() len (R2 ^ R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (R2 ^ R1) ) } is set
dom (R2 ^ R1) is V33() Element of bool NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len R2) is V15() V33() len R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R2 ) } is set
(len R1) + b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((len R1) + b2) + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
b2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
b2 + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (Del (R2,K)) is V33() Element of bool NAT
(Del ((R2 ^ R1),K)) . b2n is set
(R2 ^ R1) . b2n is set
R2 . b2n is set
(Del (R2,K)) . b2n is set
((Del (R2,K)) ^ R1) . b2n is set
{} + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
b2n + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
dom (Del (R2,K)) is V33() Element of bool NAT
(Del ((R2 ^ R1),K)) . b2n is set
(R2 ^ R1) . (b2n + 1) is set
R2 . (b2n + 1) is set
(Del (R2,K)) . b2n is set
((Del (R2,K)) ^ R1) . b2n is set
b2n + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(b2n + 1) - (len R2) is V31() ext-real V141() set
(b2 + (len R1)) + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b1n + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R1 is V33() Element of bool NAT
(Del ((R2 ^ R1),K)) . b2n is set
(R2 ^ R1) . (b1n + (len R2)) is set
R1 . b1n is set
b2 + b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((Del (R2,K)) ^ R1) . (b2 + b1n) is set
((Del (R2,K)) ^ R1) . b2n is set
(Del ((R2 ^ R1),K)) . b2n is set
((Del (R2,K)) ^ R1) . b2n is set
(Del ((R2 ^ R1),K)) . b2n is set
((Del (R2,K)) ^ R1) . b2n is set
(Del ((R2 ^ R1),K)) . b2n is set
((Del (R2,K)) ^ R1) . b2n is set
(Del ((R2 ^ R1),K)) . b2n is set
((Del (R2,K)) ^ R1) . b2n is set
len ((Del (R2,K)) ^ R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (Del (R2,K))) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (Del ((R2 ^ R1),K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is non empty set
R1 is Relation-like NAT -defined R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of R1
dom R1 is V33() Element of bool NAT
R2 is Relation-like NAT -defined R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of R1
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 ^ R1 is Relation-like NAT -defined R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of R1
Del ((R2 ^ R1),(K + (len R2))) is Relation-like NAT -defined R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of R1
Del (R1,K) is Relation-like NAT -defined R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of R1
R2 ^ (Del (R1,K)) is Relation-like NAT -defined R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of R1
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (Del (R1,K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
b2 + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
dom (R2 ^ R1) is V33() Element of bool NAT
len (R2 ^ R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len (R2 ^ R1)) is V15() V33() len (R2 ^ R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (R2 ^ R1) ) } is set
(len R2) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2 + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(b2 + (len R2)) + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
Seg (len R1) is V15() V33() len R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R1 ) } is set
b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
dom R2 is V33() Element of bool NAT
{} + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Del ((R2 ^ R1),(K + (len R2)))) . b1n is set
(R2 ^ R1) . b1n is set
R2 . b1n is set
(R2 ^ (Del (R1,K))) . b1n is set
b1n - (len R2) is V31() ext-real V141() set
ab is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
ab + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
ab + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (Del (R1,K)) is V33() Element of bool NAT
(Del ((R2 ^ R1),(K + (len R2)))) . b1n is set
(R2 ^ R1) . (ab + (len R2)) is set
R1 . ab is set
(Del (R1,K)) . ab is set
(R2 ^ (Del (R1,K))) . (ab + (len R2)) is set
(R2 ^ (Del (R1,K))) . b1n is set
(Del ((R2 ^ R1),(K + (len R2)))) . b1n is set
(ab + (len R2)) + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(R2 ^ R1) . ((ab + (len R2)) + 1) is set
(ab + 1) + (len R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(R2 ^ R1) . ((ab + 1) + (len R2)) is set
R1 . (ab + 1) is set
(Del (R1,K)) . ab is set
(R2 ^ (Del (R1,K))) . (ab + (len R2)) is set
(R2 ^ (Del (R1,K))) . b1n is set
(Del ((R2 ^ R1),(K + (len R2)))) . b1n is set
(R2 ^ (Del (R1,K))) . b1n is set
(Del ((R2 ^ R1),(K + (len R2)))) . b1n is set
(R2 ^ (Del (R1,K))) . b1n is set
(Del ((R2 ^ R1),(K + (len R2)))) . b1n is set
(R2 ^ (Del (R1,K))) . b1n is set
(Del ((R2 ^ R1),(K + (len R2)))) . b1n is set
(R2 ^ (Del (R1,K))) . b1n is set
len (R2 ^ (Del (R1,K))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) + (len (Del (R1,K))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (Del ((R2 ^ R1),(K + (len R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
Seg (R1 + 1) is non empty V15() V33() R1 + 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R1 + 1 ) } is set
R2 is non empty set
R1 is Element of R2
(R1 + 1) |-> R1 is Relation-like NAT -defined R2 -valued Function-like V33() R1 + 1 -element FinSequence-like FinSubsequence-like Element of (R1 + 1) -tuples_on R2
(R1 + 1) -tuples_on R2 is functional non empty FinSequence-membered FinSequenceSet of R2
Del (((R1 + 1) |-> R1),K) is Relation-like NAT -defined R2 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of R2
R1 |-> R1 is Relation-like NAT -defined R2 -valued Function-like V33() R1 -element FinSequence-like FinSubsequence-like Element of R1 -tuples_on R2
R1 -tuples_on R2 is functional non empty FinSequence-membered FinSequenceSet of R2
len ((R1 + 1) |-> R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ((R1 + 1) |-> R1) is V33() R1 + 1 -element Element of bool NAT
Seg (len ((R1 + 1) |-> R1)) is V15() V33() len ((R1 + 1) |-> R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len ((R1 + 1) |-> R1) ) } is set
len (R1 |-> R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
Seg R1 is V15() V33() R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R1 ) } is set
R2n + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(Del (((R1 + 1) |-> R1),K)) . R2n is set
((R1 + 1) |-> R1) . R2n is set
(R1 |-> R1) . R2n is set
(Del (((R1 + 1) |-> R1),K)) . R2n is set
((R1 + 1) |-> R1) . (R2n + 1) is set
(R1 |-> R1) . R2n is set
(Del (((R1 + 1) |-> R1),K)) . R2n is set
(R1 |-> R1) . R2n is set
(Del (((R1 + 1) |-> R1),K)) . R2n is set
(R1 |-> R1) . R2n is set
len (Del (((R1 + 1) |-> R1),K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of R1 is non empty non trivial set
power R1 is Relation-like Function-like V21([: the carrier of R1,NAT:], the carrier of R1) Element of bool [:[: the carrier of R1,NAT:], the carrier of R1:]
[: the carrier of R1,NAT:] is Relation-like non trivial V33() set
[:[: the carrier of R1,NAT:], the carrier of R1:] is Relation-like non trivial V33() set
bool [:[: the carrier of R1,NAT:], the carrier of R1:] is non trivial V33() set
R2 is Element of the carrier of R1
K |-> R2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() K -element FinSequence-like FinSubsequence-like Element of K -tuples_on the carrier of R1
K -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Product (K |-> R2) is Element of the carrier of R1
(power R1) . (R2,K) is Element of the carrier of R1
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 |-> R2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() R1 -element FinSequence-like FinSubsequence-like Element of R1 -tuples_on the carrier of R1
R1 -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Product (R1 |-> R2) is Element of the carrier of R1
(power R1) . (R2,R1) is Element of the carrier of R1
R1 + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(R1 + 1) |-> R2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() R1 + 1 -element FinSequence-like FinSubsequence-like Element of (R1 + 1) -tuples_on the carrier of R1
(R1 + 1) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Product ((R1 + 1) |-> R2) is Element of the carrier of R1
(power R1) . (R2,(R1 + 1)) is Element of the carrier of R1
1 |-> R2 is Relation-like NAT -defined the carrier of R1 -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like Element of 1 -tuples_on the carrier of R1
1 -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Product (1 |-> R2) is Element of the carrier of R1
(Product (R1 |-> R2)) * (Product (1 |-> R2)) is Element of the carrier of R1
<*R2*> is Relation-like NAT -defined the carrier of R1 -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like Element of 1 -tuples_on the carrier of R1
[1,R2] is set
{1,R2} is non empty V33() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
Product <*R2*> is Element of the carrier of R1
(Product (R1 |-> R2)) * (Product <*R2*>) is Element of the carrier of R1
((power R1) . (R2,R1)) * R2 is Element of the carrier of R1
{} |-> R2 is Relation-like non-empty empty-yielding NAT -defined the carrier of R1 -valued Function-like functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() Element of {} -tuples_on the carrier of R1
{} -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
<*> the carrier of R1 is Relation-like non-empty empty-yielding NAT -defined RAT -valued the carrier of R1 -valued Function-like functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() FinSequence of the carrier of R1
Product ({} |-> R2) is Element of the carrier of R1
1_ R1 is Element of the carrier of R1
1. R1 is V61(R1) Element of the carrier of R1
(power R1) . (R2,{}) is Element of the carrier of R1
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Sum K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum K) is V15() V33() Sum K -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum K ) } is set
dom K is V33() Element of bool NAT
len K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K | (len K) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (len K) is V15() V33() len K -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len K ) } is set
K | (Seg (len K)) is Relation-like Seg (len K) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K | R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg R2 is V15() V33() R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R2 ) } is set
K | (Seg R2) is Relation-like Seg R2 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (K | R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K | R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg R1 is V15() V33() R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R1 ) } is set
K | (Seg R1) is Relation-like Seg R1 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (K | R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K | R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg R2 is V15() V33() R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R2 ) } is set
K | (Seg R2) is Relation-like Seg R2 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (K | R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K | R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg R2 is V15() V33() R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R2 ) } is set
K | (Seg R2) is Relation-like Seg R2 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (K | R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K | R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg R1 is V15() V33() R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R1 ) } is set
K | (Seg R1) is Relation-like Seg R1 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (K | R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
dom R1 is V33() Element of bool NAT
R1 . K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 | K is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg K is V15() V33() K -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= K ) } is set
R1 | (Seg K) is Relation-like Seg K -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (R1 | K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R1,(Sum (R1 | K))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R1 | K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (R1 | K) is V33() Element of bool NAT
(R1 | K) . K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 | (len R1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (len R1) is V15() V33() len R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R1 ) } is set
R1 | (Seg (len R1)) is Relation-like Seg (len R1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (R1 | (len R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum R1) is V15() V33() Sum R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum R1 ) } is set
K - 1 is V31() ext-real V141() set
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
R1 | (R1,(Sum (R1 | K))) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (R1,(Sum (R1 | K))) is V15() V33() (R1,(Sum (R1 | K))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (R1,(Sum (R1 | K))) ) } is set
R1 | (Seg (R1,(Sum (R1 | K)))) is Relation-like Seg (R1,(Sum (R1 | K))) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (R1 | (R1,(Sum (R1 | K)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 | R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg R2 is V15() V33() R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R2 ) } is set
R1 | (Seg R2) is Relation-like Seg R2 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (R1 | R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 | (R2 + 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (R2 + 1) is non empty V15() V33() R2 + 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R2 + 1 ) } is set
R1 | (Seg (R2 + 1)) is Relation-like Seg (R2 + 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
<*(R1 . K)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(R1 . K)] is set
{1,(R1 . K)} is non empty V33() V37() set
{{1,(R1 . K)},{1}} is non empty V33() V37() set
{[1,(R1 . K)]} is Relation-like non empty trivial V33() 1 -element set
(R1 | R2) ^ <*(R1 . K)*> is Relation-like NAT -defined Function-like non empty V33() FinSequence-like FinSubsequence-like set
(Sum (R1 | R2)) + (R1 . K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Sum R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum R1) is V15() V33() Sum R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum R1 ) } is set
(R1,K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R1,K) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R1,K) - 1 is V31() ext-real V141() set
R1 | ((R1,K) -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg ((R1,K) -' 1) is V15() V33() (R1,K) -' 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (R1,K) -' 1 ) } is set
R1 | (Seg ((R1,K) -' 1)) is Relation-like Seg ((R1,K) -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (R1 | ((R1,K) -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R1 is V33() Element of bool NAT
(R1,K) - {} is V31() ext-real non negative V141() set
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Sum R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum R1) is V15() V33() Sum R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum R1 ) } is set
(R1,K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
R1 ^ R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
((R1 ^ R2),K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 | (R1,K) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (R1,K) is V15() V33() (R1,K) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (R1,K) ) } is set
R1 | (Seg (R1,K)) is Relation-like Seg (R1,K) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (R1 | (R1,K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Sum R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum R1) + (Sum R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum R1) + {} is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum R1) is V15() V33() Sum R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum R1 ) } is set
dom R1 is V33() Element of bool NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 | (R1,K) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
R1 | (Seg (R1,K)) is Relation-like Seg (R1,K) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
(R1,K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 | (R1,K) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (R1,K) is V15() V33() (R1,K) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (R1,K) ) } is set
R1 | (Seg (R1,K)) is Relation-like Seg (R1,K) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
R1 | (R1,K) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
R1 | (Seg (R1,K)) is Relation-like Seg (R1,K) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (R1 | (R1,K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Sum R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum R1) is V15() V33() Sum R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum R1 ) } is set
K -' (Sum R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K - (Sum R1) is V31() ext-real V141() set
R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Sum R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum R1) + (Sum R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg ((Sum R1) + (Sum R2)) is V15() V33() (Sum R1) + (Sum R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (Sum R1) + (Sum R2) ) } is set
(Seg ((Sum R1) + (Sum R2))) \ (Seg (Sum R1)) is V15() V33() Element of bool NAT
R1 ^ R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
((R1 ^ R2),K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(K -' (Sum R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(K -' (Sum R1))) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Sum R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum R1) is V15() V33() Sum R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum R1 ) } is set
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 + (Sum R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + (R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 | ((len R1) + (R2,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg ((len R1) + (R2,R2)) is V15() V33() (len R1) + (R2,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (len R1) + (R2,R2) ) } is set
R1 | (Seg ((len R1) + (R2,R2))) is Relation-like Seg ((len R1) + (R2,R2)) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
R2 | (R2,R2) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (R2,R2) is V15() V33() (R2,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (R2,R2) ) } is set
R2 | (Seg (R2,R2)) is Relation-like Seg (R2,R2) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
R1 ^ (R2 | (R2,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Sum (R1 | ((len R1) + (R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum (R2 | (R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum R1) + (Sum (R2 | (R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum R2) is V15() V33() Sum R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum R2 ) } is set
(Sum R1) + R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R1,K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 | (R1,K) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (R1,K) is V15() V33() (R1,K) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (R1,K) ) } is set
R1 | (Seg (R1,K)) is Relation-like Seg (R1,K) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (R1 | (R1,K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 | (len R1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (len R1) is V15() V33() len R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R1 ) } is set
R1 | (Seg (len R1)) is Relation-like Seg (len R1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
R1 | (R1,K) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
R1 | (Seg (R1,K)) is Relation-like Seg (R1,K) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (R1 | (R1,K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum (R1 | (len R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R1,K) - (len R1) is V31() ext-real V141() set
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 | ((len R1) + b2) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg ((len R1) + b2) is V15() V33() (len R1) + b2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (len R1) + b2 ) } is set
R1 | (Seg ((len R1) + b2)) is Relation-like Seg ((len R1) + b2) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
R2 | b2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg b2 is V15() V33() b2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= b2 ) } is set
R2 | (Seg b2) is Relation-like Seg b2 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
R1 ^ (R2 | b2) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Sum (R2 | b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum R1) + (Sum (R2 | b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((Sum R1) + (Sum (R2 | b2))) - (Sum R1) is V31() ext-real V141() set
(R2,R2) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2 + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
dom R1 is V33() Element of bool NAT
R1 | K is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg K is V15() V33() K -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= K ) } is set
R1 | (Seg K) is Relation-like Seg K -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (R1 | K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 | (K -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (K -' 1) is V15() V33() K -' 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= K -' 1 ) } is set
R1 | (Seg (K -' 1)) is Relation-like Seg (K -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (R1 | (K -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 . K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(Sum (R1 | (K -' 1))) + (R1 . K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 /. K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*(R1 /. K)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
1 -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
[1,(R1 /. K)] is set
{1,(R1 /. K)} is non empty V33() V37() set
{{1,(R1 /. K)},{1}} is non empty V33() V37() set
{[1,(R1 /. K)]} is Relation-like non empty trivial V33() 1 -element set
K - 1 is V31() ext-real V141() set
(K -' 1) + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(R1 | (K -' 1)) ^ <*(R1 /. K)*> is Relation-like NAT -defined NAT -valued Function-like non empty V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Sum ((R1 | (K -' 1)) ^ <*(R1 /. K)*>) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
dom R2 is V33() Element of bool NAT
R2 /. K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (R2 /. K) is V15() V33() R2 /. K -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R2 /. K ) } is set
R2 | (K -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (K -' 1) is V15() V33() K -' 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= K -' 1 ) } is set
R2 | (Seg (K -' 1)) is Relation-like Seg (K -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (R2 | (K -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 + (Sum (R2 | (K -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 | K is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg K is V15() V33() K -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= K ) } is set
R2 | (Seg K) is Relation-like Seg K -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (R2 | K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum (R2 | K)) is V15() V33() Sum (R2 | K) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (R2 | K) ) } is set
(R2,(R1 + (Sum (R2 | (K -' 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 . K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(R2 /. K) + (Sum (R2 | (K -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 | (len R2) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (len R2) is V15() V33() len R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R2 ) } is set
R2 | (Seg (len R2)) is Relation-like Seg (len R2) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (R2 | (len R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum R2) is V15() V33() Sum R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum R2 ) } is set
1 + {} is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
K - 1 is V31() ext-real V141() set
(K -' 1) + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
R2 | (R2,(R1 + (Sum (R2 | (K -' 1))))) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (R2,(R1 + (Sum (R2 | (K -' 1))))) is V15() V33() (R2,(R1 + (Sum (R2 | (K -' 1))))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (R2,(R1 + (Sum (R2 | (K -' 1))))) ) } is set
R2 | (Seg (R2,(R1 + (Sum (R2 | (K -' 1)))))) is Relation-like Seg (R2,(R1 + (Sum (R2 | (K -' 1))))) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (R2 | (R2,(R1 + (Sum (R2 | (K -' 1)))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (R2 | (K -' 1))) + {} is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
len K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom K is V33() Element of bool NAT
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K | R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg R1 is V15() V33() R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R1 ) } is set
K | (Seg R1) is Relation-like Seg R1 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (K | R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K | R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg R2 is V15() V33() R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R2 ) } is set
K | (Seg R2) is Relation-like Seg R2 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (K | R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K . R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 - 1 is V31() ext-real V141() set
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
K | R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg R1 is V15() V33() R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R1 ) } is set
K | (Seg R1) is Relation-like Seg R1 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (K | R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K | (R1 + 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (R1 + 1) is non empty V15() V33() R1 + 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R1 + 1 ) } is set
K | (Seg (R1 + 1)) is Relation-like Seg (R1 + 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
<*(K . R1)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(K . R1)] is set
{1,(K . R1)} is non empty V33() V37() set
{{1,(K . R1)},{1}} is non empty V33() V37() set
{[1,(K . R1)]} is Relation-like non empty trivial V33() 1 -element set
(K | R1) ^ <*(K . R1)*> is Relation-like NAT -defined Function-like non empty V33() FinSequence-like FinSubsequence-like set
(Sum (K | R1)) + (K . R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K | R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg R1 is V15() V33() R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R1 ) } is set
K | (Seg R1) is Relation-like Seg R1 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (K | R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K . R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K | R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg R2 is V15() V33() R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R2 ) } is set
K | (Seg R2) is Relation-like Seg R2 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (K | R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
<*> ((K *) *) is Relation-like non-empty empty-yielding NAT -defined RAT -valued (K *) * -valued Function-like functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() FinSequence of (K *) *
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of (K *) *
dom R1 is V33() Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 . R2 is FinSequence-like set
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
<*> ((K *) *) is Relation-like non-empty empty-yielding NAT -defined RAT -valued (K *) * -valued Function-like functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() FinSequence of (K *) *
dom (<*> ((K *) *)) is Relation-like non-empty empty-yielding RAT -valued functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(<*> ((K *) *)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() V185() set
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
R2 is set
R1 . R2 is FinSequence-like set
dom R1 is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
R2 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
R1 ^ R2 is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
R1 ^ R2 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of (K *) *
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
dom (R1 ^ R2) is V33() Element of bool NAT
(R1 ^ R2) . R1 is FinSequence-like set
dom R1 is V33() Element of bool NAT
(K,R1,R1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
dom R2 is V33() Element of bool NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len R1) + R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len R1) + R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2,R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
dom R1 is V33() Element of bool NAT
dom R2 is V33() Element of bool NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
R1 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
<*R1*> is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like tabular Matrix of 1, len R1,K *
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
<*R1*> . 1 is FinSequence-like set
dom <*R1*> is non empty trivial V33() 1 -element Element of bool NAT
{1} is non empty trivial V33() V37() 1 -element Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
<*R1*> . R2 is FinSequence-like set
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
R1 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R2 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
<*R1,R2*> is Relation-like NAT -defined Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like set
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*R2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
<*R1*> ^ <*R2*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
1 + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
<*R1*> is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like tabular Matrix of 1, len R1,K *
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*R2*> is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like tabular Matrix of 1, len R2,K *
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
R2 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,R2) is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
R2 | R1 is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
Seg R1 is V15() V33() R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R1 ) } is set
R2 | (Seg R1) is Relation-like Seg R1 -defined NAT -defined (K *) * -valued V33() FinSubsequence-like set
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 | R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of (K *) *
dom (R2 | R1) is V33() Element of bool NAT
(R2 | R1) . R1 is FinSequence-like set
(K,R2,R1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
R2 /^ R1 is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 /^ R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of (K *) *
dom (R2 /^ R1) is V33() Element of bool NAT
R1 + R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
dom R2 is V33() Element of bool NAT
R1 + R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R2,(R1 + R1)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
R2 /. (R1 + R1) is FinSequence-like Element of (K *) *
(R2 /^ R1) . R1 is FinSequence-like set
(R2 /^ R1) /. R1 is FinSequence-like Element of (K *) *
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
dom R1 is V33() Element of bool NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R2 is V33() Element of bool NAT
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 . R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R1,R1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len (K,R1,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
dom R2 is V33() Element of bool NAT
R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
dom R1 is V33() Element of bool NAT
R2 is set
R2 . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1,b2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len (K,R1,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R2 is V33() Element of bool NAT
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 . R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R1,R1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
width (K,R1,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
dom R2 is V33() Element of bool NAT
R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
dom R1 is V33() Element of bool NAT
R2 is set
R2 . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1,b2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
width (K,R1,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
dom (K,R1) is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
len (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
dom (K,R1) is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
len (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
Sum (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,R1) is V33() len R1 -element Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R1) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
dom (K,R1) is V33() len R1 -element Element of bool NAT
(len R1) |-> {} is Relation-like empty-yielding NAT -defined Function-like V33() len R1 -element FinSequence-like FinSubsequence-like set
len (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R1 is V33() Element of bool NAT
dom (K,R1) is V33() len R1 -element Element of bool NAT
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R1) . b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R1,b2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
width (K,R1,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len R1) is V15() V33() len R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R1 ) } is set
((len R1) |-> {}) . b2 is set
(K,R1) . b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
len (K,R1,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ((len R1) |-> {}) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,R1) is V33() len R1 -element Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R1) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
R2 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,R2) is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,(K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,R2)) -tuples_on NAT
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R1,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(K,R1) ^ (K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() (len R1) + (len R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len R1) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,R2) is V33() len R2 -element Element of bool NAT
dom R2 is V33() Element of bool NAT
len ((K,R1) ^ (K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,(K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ((K,R1) ^ (K,R2)) is V33() (len R1) + (len R2) -element Element of bool NAT
dom (K,(K,R1,R2)) is V33() len (K,R1,R2) -element Element of bool NAT
len (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,R1) is V33() len R1 -element Element of bool NAT
dom R1 is V33() Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
((K,R1) ^ (K,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R1) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R1,R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,R2),R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len (K,(K,R1,R2),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len (K,R1)) + b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len R1) + b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((K,R1) ^ (K,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R2) . b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R2,b2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len (K,R2,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,R2),R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len (K,(K,R1,R2),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
((K,R1) ^ (K,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,(K,R1,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
((K,R1) ^ (K,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,(K,R1,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
R1 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,R1) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
(K,(K,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1)) -tuples_on NAT
len (K,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*(len R1)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
1 -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
[1,(len R1)] is set
{1,(len R1)} is non empty V33() V37() set
{{1,(len R1)},{1}} is non empty V33() V37() set
{[1,(len R1)]} is Relation-like non empty trivial V33() 1 -element set
(K,(K,R1),1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len (K,(K,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,(K,R1)) is V33() len (K,R1) -element Element of bool NAT
Seg (len (K,R1)) is non empty V15() V33() len (K,R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (K,R1) ) } is set
(K,(K,R1)) . 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
len (K,(K,R1),1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
R1 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,R1) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
(K,(K,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1)) -tuples_on NAT
len (K,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*(len R1)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
1 -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
[1,(len R1)] is set
{1,(len R1)} is non empty V33() V37() set
{{1,(len R1)},{1}} is non empty V33() V37() set
{[1,(len R1)]} is Relation-like non empty trivial V33() 1 -element set
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
R1 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,R1,R2) is Relation-like NAT -defined (K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
<*R2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
<*R1*> ^ <*R2*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
(K,(K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,R2)) -tuples_on NAT
len (K,R1,R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R1,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,(K,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1)) -tuples_on NAT
len (K,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(K,R2) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2)) -tuples_on NAT
len (K,R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(K,(K,R1)) ^ (K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() (len (K,R1)) + (len (K,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len (K,R1)) + (len (K,R2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
Sum ((K,(K,R1)) ^ (K,(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum (K,(K,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum (K,(K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (K,(K,R1))) + (Sum (K,(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + (Sum (K,(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is non empty set
R1 * is functional non empty FinSequence-membered FinSequenceSet of R1
(R1 *) * is functional non empty FinSequence-membered FinSequenceSet of R1 *
R2 is Relation-like NAT -defined (R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R1) FinSequence of (R1 *) *
(R1,K,R2) is Relation-like NAT -defined (R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R1) FinSequence of (R1 *) *
Seg K is V15() V33() K -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= K ) } is set
R2 | (Seg K) is Relation-like Seg K -defined NAT -defined (R1 *) * -valued V33() FinSubsequence-like set
(R1,(R1,K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R1,K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R1,K,R2)) -tuples_on NAT
len (R1,K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (R1,K,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(R1,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(R1,R2) | K is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(R1,R2) | (Seg K) is Relation-like Seg K -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
len (R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R1,K,R2) is Relation-like NAT -defined (R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R1) FinSequence of (R1 *) *
(R1,(R1,K,R2),(R1,K,R2)) is Relation-like NAT -defined (R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R1) FinSequence of (R1 *) *
(R1,(R1,K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R1,K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R1,K,R2)) -tuples_on NAT
len (R1,K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (R1,K,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(R1,(R1,K,R2)) ^ (R1,(R1,K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() (len (R1,K,R2)) + (len (R1,K,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len (R1,K,R2)) + (len (R1,K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R1,(R1,K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
R2 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,R2) is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,(K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,R2)) -tuples_on NAT
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R1,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(K,R1) ^ (K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() (len R1) + (len R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len R1) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,R2) is V33() len R2 -element Element of bool NAT
dom R2 is V33() Element of bool NAT
len ((K,R1) ^ (K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,(K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ((K,R1) ^ (K,R2)) is V33() (len R1) + (len R2) -element Element of bool NAT
dom (K,(K,R1,R2)) is V33() len (K,R1,R2) -element Element of bool NAT
len (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,R1) is V33() len R1 -element Element of bool NAT
dom R1 is V33() Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
((K,R1) ^ (K,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R1) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R1,R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
width (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,R2),R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
width (K,(K,R1,R2),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len (K,R1)) + b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len R1) + b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((K,R1) ^ (K,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R2) . b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R2,b2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
width (K,R2,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,R2),R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
width (K,(K,R1,R2),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
((K,R1) ^ (K,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,(K,R1,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
((K,R1) ^ (K,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,(K,R1,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
R1 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,R1) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
(K,(K,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1)) -tuples_on NAT
len (K,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
width R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*(width R1)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
1 -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
[1,(width R1)] is set
{1,(width R1)} is non empty V33() V37() set
{{1,(width R1)},{1}} is non empty V33() V37() set
{[1,(width R1)]} is Relation-like non empty trivial V33() 1 -element set
(K,(K,R1),1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len (K,(K,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,(K,R1)) is V33() len (K,R1) -element Element of bool NAT
Seg (len (K,R1)) is non empty V15() V33() len (K,R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (K,R1) ) } is set
(K,(K,R1)) . 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
width (K,(K,R1),1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
R1 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,R1) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
(K,(K,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1)) -tuples_on NAT
len (K,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*(width R1)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
1 -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
[1,(width R1)] is set
{1,(width R1)} is non empty V33() V37() set
{{1,(width R1)},{1}} is non empty V33() V37() set
{[1,(width R1)]} is Relation-like non empty trivial V33() 1 -element set
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
R1 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
width R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,R1,R2) is Relation-like NAT -defined (K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
<*R2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
<*R1*> ^ <*R2*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
(K,(K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,R2)) -tuples_on NAT
len (K,R1,R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R1,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width R1) + (width R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,(K,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1)) -tuples_on NAT
len (K,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(K,R2) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2)) -tuples_on NAT
len (K,R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(K,(K,R1)) ^ (K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() (len (K,R1)) + (len (K,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len (K,R1)) + (len (K,R2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
Sum ((K,(K,R1)) ^ (K,(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum (K,(K,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum (K,(K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (K,(K,R1))) + (Sum (K,(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width R1) + (Sum (K,(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is non empty set
R1 * is functional non empty FinSequence-membered FinSequenceSet of R1
(R1 *) * is functional non empty FinSequence-membered FinSequenceSet of R1 *
R2 is Relation-like NAT -defined (R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R1) FinSequence of (R1 *) *
(R1,K,R2) is Relation-like NAT -defined (R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R1) FinSequence of (R1 *) *
Seg K is V15() V33() K -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= K ) } is set
R2 | (Seg K) is Relation-like Seg K -defined NAT -defined (R1 *) * -valued V33() FinSubsequence-like set
(R1,(R1,K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R1,K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R1,K,R2)) -tuples_on NAT
len (R1,K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (R1,K,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(R1,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(R1,R2) | K is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(R1,R2) | (Seg K) is Relation-like Seg K -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
len (R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R1,K,R2) is Relation-like NAT -defined (R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R1) FinSequence of (R1 *) *
(R1,(R1,K,R2),(R1,K,R2)) is Relation-like NAT -defined (R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R1) FinSequence of (R1 *) *
(R1,(R1,K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R1,K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R1,K,R2)) -tuples_on NAT
len (R1,K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (R1,K,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(R1,(R1,K,R2)) ^ (R1,(R1,K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() (len (R1,K,R2)) + (len (R1,K,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len (R1,K,R2)) + (len (R1,K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R1,(R1,K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R2 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
Sum (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 is Element of K
Seg (Sum (K,R2)) is V15() V33() Sum (K,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (K,R2) ) } is set
Seg (Sum (K,R2)) is V15() V33() Sum (K,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (K,R2) ) } is set
[:(Seg (Sum (K,R2))),(Seg (Sum (K,R2))):] is Relation-like V33() set
b12 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
((K,R2),b12) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((K,R2),b12) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) | (((K,R2),b12) -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (((K,R2),b12) -' 1) is V15() V33() ((K,R2),b12) -' 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= ((K,R2),b12) -' 1 ) } is set
(K,R2) | (Seg (((K,R2),b12) -' 1)) is Relation-like Seg (((K,R2),b12) -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((K,R2) | (((K,R2),b12) -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) | ((K,R2),b12) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg ((K,R2),b12) is V15() V33() ((K,R2),b12) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= ((K,R2),b12) ) } is set
(K,R2) | (Seg ((K,R2),b12)) is Relation-like Seg ((K,R2),b12) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((K,R2) | ((K,R2),b12)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2,((K,R2),b12)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,R2) | (((K,R2),b12) -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,R2) | (Seg (((K,R2),b12) -' 1)) is Relation-like Seg (((K,R2),b12) -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((K,R2) | (((K,R2),b12) -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b12 -' (Sum ((K,R2) | (((K,R2),b12) -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
[b12,R2n] is set
{b12,R2n} is non empty V33() V37() set
{b12} is non empty trivial V33() V37() 1 -element set
{{b12,R2n},{b12}} is non empty V33() V37() set
R2n -' (Sum ((K,R2) | (((K,R2),b12) -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2,((K,R2),b12)) * ((b12 -' (Sum ((K,R2) | (((K,R2),b12) -' 1)))),(R2n -' (Sum ((K,R2) | (((K,R2),b12) -' 1))))) is Element of K
b12 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,R2), Sum (K,R2),K
Indices b12 is set
dom b12 is V33() Element of bool NAT
width b12 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width b12) is V15() V33() width b12 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width b12 ) } is set
[:(dom b12),(Seg (width b12)):] is Relation-like V33() set
len b12 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
b2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
[R2n,b2n] is set
{R2n,b2n} is non empty V33() V37() set
{R2n} is non empty trivial V33() V37() 1 -element set
{{R2n,b2n},{R2n}} is non empty V33() V37() set
((K,R2),R2n) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((K,R2),R2n) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) | (((K,R2),R2n) -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (((K,R2),R2n) -' 1) is V15() V33() ((K,R2),R2n) -' 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= ((K,R2),R2n) -' 1 ) } is set
(K,R2) | (Seg (((K,R2),R2n) -' 1)) is Relation-like Seg (((K,R2),R2n) -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((K,R2) | (((K,R2),R2n) -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) | ((K,R2),R2n) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg ((K,R2),R2n) is V15() V33() ((K,R2),R2n) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= ((K,R2),R2n) ) } is set
(K,R2) | (Seg ((K,R2),R2n)) is Relation-like Seg ((K,R2),R2n) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((K,R2) | ((K,R2),R2n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b12 * (R2n,b2n) is Element of K
(K,R2,((K,R2),R2n)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,R2) | (((K,R2),R2n) -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,R2) | (Seg (((K,R2),R2n) -' 1)) is Relation-like Seg (((K,R2),R2n) -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((K,R2) | (((K,R2),R2n) -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2n -' (Sum ((K,R2) | (((K,R2),R2n) -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2n -' (Sum ((K,R2) | (((K,R2),R2n) -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2,((K,R2),R2n)) * ((R2n -' (Sum ((K,R2) | (((K,R2),R2n) -' 1)))),(b2n -' (Sum ((K,R2) | (((K,R2),R2n) -' 1))))) is Element of K
R2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
b2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
[R2n,b2n] is set
{R2n,b2n} is non empty V33() V37() set
{R2n} is non empty trivial V33() V37() 1 -element set
{{R2n,b2n},{R2n}} is non empty V33() V37() set
((K,R2),R2n) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((K,R2),R2n) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) | (((K,R2),R2n) -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (((K,R2),R2n) -' 1) is V15() V33() ((K,R2),R2n) -' 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= ((K,R2),R2n) -' 1 ) } is set
(K,R2) | (Seg (((K,R2),R2n) -' 1)) is Relation-like Seg (((K,R2),R2n) -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((K,R2) | (((K,R2),R2n) -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) | ((K,R2),R2n) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg ((K,R2),R2n) is V15() V33() ((K,R2),R2n) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= ((K,R2),R2n) ) } is set
(K,R2) | (Seg ((K,R2),R2n)) is Relation-like Seg ((K,R2),R2n) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((K,R2) | ((K,R2),R2n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b12 * (R2n,b2n) is Element of K
(K,R2,((K,R2),R2n)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,R2) | (((K,R2),R2n) -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,R2) | (Seg (((K,R2),R2n) -' 1)) is Relation-like Seg (((K,R2),R2n) -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((K,R2) | (((K,R2),R2n) -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2n -' (Sum ((K,R2) | (((K,R2),R2n) -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2n -' (Sum ((K,R2) | (((K,R2),R2n) -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2,((K,R2),R2n)) * ((R2n -' (Sum ((K,R2) | (((K,R2),R2n) -' 1)))),(b2n -' (Sum ((K,R2) | (((K,R2),R2n) -' 1))))) is Element of K
b2 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Indices b2 is set
dom b2 is V33() Element of bool NAT
Seg (width b2) is V15() V33() width b2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width b2 ) } is set
[:(dom b2),(Seg (width b2)):] is Relation-like V33() set
b1 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Indices b1 is set
dom b1 is V33() Element of bool NAT
Seg (width b1) is V15() V33() width b1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width b1 ) } is set
[:(dom b1),(Seg (width b1)):] is Relation-like V33() set
Seg (len b2) is V15() V33() len b2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len b2 ) } is set
[:(Seg (len b2)),(Seg (width b2)):] is Relation-like V33() set
b12 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
[b12,R2n] is set
{b12,R2n} is non empty V33() V37() set
{b12} is non empty trivial V33() V37() 1 -element set
{{b12,R2n},{b12}} is non empty V33() V37() set
((K,R2),b12) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((K,R2),b12) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) | (((K,R2),b12) -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (((K,R2),b12) -' 1) is V15() V33() ((K,R2),b12) -' 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= ((K,R2),b12) -' 1 ) } is set
(K,R2) | (Seg (((K,R2),b12) -' 1)) is Relation-like Seg (((K,R2),b12) -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((K,R2) | (((K,R2),b12) -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) | ((K,R2),b12) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg ((K,R2),b12) is V15() V33() ((K,R2),b12) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= ((K,R2),b12) ) } is set
(K,R2) | (Seg ((K,R2),b12)) is Relation-like Seg ((K,R2),b12) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((K,R2) | ((K,R2),b12)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2 * (b12,R2n) is Element of K
b1 * (b12,R2n) is Element of K
(K,R2,((K,R2),b12)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,R2) | (((K,R2),b12) -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,R2) | (Seg (((K,R2),b12) -' 1)) is Relation-like Seg (((K,R2),b12) -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((K,R2) | (((K,R2),b12) -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b12 -' (Sum ((K,R2) | (((K,R2),b12) -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2n -' (Sum ((K,R2) | (((K,R2),b12) -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2,((K,R2),b12)) * ((b12 -' (Sum ((K,R2) | (((K,R2),b12) -' 1)))),(R2n -' (Sum ((K,R2) | (((K,R2),b12) -' 1))))) is Element of K
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Element of K
R2 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
Sum (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Element of K
R2 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,R2), Sum (K,R2),K
(K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
Sum (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
R1 is Element of K
R2 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
dom R2 is V33() Element of bool NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width R2) |-> R1 is Relation-like NAT -defined K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on K
(width R2) -tuples_on K is functional non empty FinSequence-membered FinSequenceSet of K
R1 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,R2,R1) is Relation-like NAT -defined (K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
<*R2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
<*R2*> ^ <*R1*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
(K,(K,R2,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2,R1)) -tuples_on NAT
len (K,R2,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R2,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R2,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2,R1)) -tuples_on NAT
Sum (K,(K,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1,(K,R2,R1)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,R2,R1)), Sum (K,(K,R2,R1)),K
width R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width R1) |-> R1 is Relation-like NAT -defined K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on K
(width R1) -tuples_on K is functional non empty FinSequence-membered FinSequenceSet of K
dom R1 is V33() Element of bool NAT
R2 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,R2,R1)), Sum (K,(K,R2,R1)),K
(K,R2) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*(width R2)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
1 -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
[1,(width R2)] is set
{1,(width R2)} is non empty V33() V37() set
{{1,(width R2)},{1}} is non empty V33() V37() set
{[1,(width R2)]} is Relation-like non empty trivial V33() 1 -element set
Sum <*(width R2)*> is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,R1,(K,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,(K,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R2,R1)) | {} is Relation-like non-empty empty-yielding NAT -defined NAT -valued RAT -valued Function-like functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() FinSequence of NAT
Seg {} is Relation-like non-empty empty-yielding RAT -valued functional empty V15() V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element {} -element FinSequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= {} ) } is set
(K,(K,R2,R1)) | (Seg {}) is Relation-like non-empty empty-yielding Seg {} -defined NAT -defined NAT -valued RAT -valued functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() set
(K,(K,R2,R1)) | {} is Relation-like non-empty empty-yielding NAT -defined NAT -valued RAT -valued Function-like functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() FinSequence of NAT
(K,(K,R2,R1)) | (Seg {}) is Relation-like non-empty empty-yielding Seg {} -defined NAT -defined NAT -valued RAT -valued functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() set
1 -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (K,R1,(K,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width R2) + (width R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len <*(width R2)*> is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
len (K,R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2)) -tuples_on NAT
(len (K,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
<*(len R2)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
[1,(len R2)] is set
{1,(len R2)} is non empty V33() V37() set
{{1,(len R2)},{1}} is non empty V33() V37() set
{[1,(len R2)]} is Relation-like non empty trivial V33() 1 -element set
(K,(K,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1)) -tuples_on NAT
len (K,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(K,(K,R2)) ^ (K,(K,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() (len (K,R2)) + (len (K,R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len (K,R2)) + (len (K,R1)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(K,(K,R2,R1)) . 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
len <*(len R2)*> is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(K,(K,R2,R1)) | 1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,(K,R2,R1)) | (Seg 1) is Relation-like Seg 1 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
(K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2)) -tuples_on NAT
Sum <*(len R2)*> is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1)) -tuples_on NAT
(K,(K,R2)) ^ (K,(K,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() (len (K,R2)) + (len (K,R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,(K,R2,R1)) | 1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,(K,R2,R1)) | (Seg 1) is Relation-like Seg 1 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
<*(len R1)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
[1,(len R1)] is set
{1,(len R1)} is non empty V33() V37() set
{{1,(len R1)},{1}} is non empty V33() V37() set
{[1,(len R1)]} is Relation-like non empty trivial V33() 1 -element set
1 + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(K,(K,R2,R1)) . 2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
len (K,(K,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R2,R1)) | 2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,(K,R2,R1)) | (Seg 2) is Relation-like Seg 2 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
dom (K,(K,R2,R1)) is V33() len (K,R2,R1) -element Element of bool NAT
{1,2} is non empty V33() V37() Element of bool NAT
(K,(K,R2,R1)) /. 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
2 -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
2 - 1 is V31() ext-real V141() set
width R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R2,R1)) /. 2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
bA is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
Line (R2,bA) is Relation-like NAT -defined K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on K
(width R2) -tuples_on K is functional non empty FinSequence-membered FinSequenceSet of K
Line (R2,bA) is Relation-like NAT -defined K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on K
(Line (R2,bA)) ^ ((width R1) |-> R1) is Relation-like NAT -defined K -valued Function-like V33() (width R2) + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of K
(width R2) + (width R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (Line (R2,bA)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,R1,(K,R2,R1)) is V33() Element of bool NAT
len ((width R1) |-> R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ((Line (R2,bA)) ^ ((width R1) |-> R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (Line (R2,bA))) + (len ((width R1) |-> R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (Line (R2,bA)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len R2) is V15() V33() len R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R2 ) } is set
bA + {} is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
((K,(K,R2,R1)),(bA + {})) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
j is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
Seg (width (K,R1,(K,R2,R1))) is V15() V33() width (K,R1,(K,R2,R1)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (K,R1,(K,R2,R1)) ) } is set
[bA,j] is set
{bA,j} is non empty V33() V37() set
{bA} is non empty trivial V33() V37() 1 -element set
{{bA,j},{bA}} is non empty V33() V37() set
Indices (K,R1,(K,R2,R1)) is set
[:(dom (K,R1,(K,R2,R1))),(Seg (width (K,R1,(K,R2,R1)))):] is Relation-like V33() set
dom ((Line (R2,bA)) ^ ((width R1) |-> R1)) is V33() (width R2) + (width R1) -element Element of bool NAT
Seg (width R2) is V15() V33() width R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R2 ) } is set
dom (Line (R2,bA)) is V33() width R2 -element Element of bool NAT
(Line (R2,bA)) . j is set
R2 * (bA,j) is Element of K
(K,(K,R2,R1),1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
Sum ((K,(K,R2,R1)) | {}) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
bA -' (Sum ((K,(K,R2,R1)) | {})) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum ((K,(K,R2,R1)) | {}) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
j -' (Sum ((K,(K,R2,R1)) | {})) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R2,R1),1) * ((bA -' (Sum ((K,(K,R2,R1)) | {}))),(j -' (Sum ((K,(K,R2,R1)) | {})))) is Element of K
j -' {} is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R2,R1),1) * (bA,(j -' {})) is Element of K
(K,(K,R2,R1),1) * (bA,j) is Element of K
R2 * (bA,j) is Element of K
(Line (R2,bA)) . j is set
((Line (R2,bA)) ^ ((width R1) |-> R1)) . j is set
dom ((width R1) |-> R1) is V33() width R1 -element Element of bool NAT
Seg (width R1) is V15() V33() width R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R1 ) } is set
dom (Line (R2,bA)) is V33() width R2 -element Element of bool NAT
I is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len (Line (R2,bA))) + I is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Line (R2,bA)) . j is set
R2 * (bA,j) is Element of K
((width R1) |-> R1) . I is set
((Line (R2,bA)) ^ ((width R1) |-> R1)) . j is set
(Line (R2,bA)) . j is set
((Line (R2,bA)) ^ ((width R1) |-> R1)) . j is set
(Line (R2,bA)) . j is set
((Line (R2,bA)) ^ ((width R1) |-> R1)) . j is set
bA + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (R2,(bA + (len R2))) is Relation-like NAT -defined K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on K
Line (R1,bA) is Relation-like NAT -defined K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on K
((width R2) |-> R1) ^ (Line (R1,bA)) is Relation-like NAT -defined K -valued Function-like V33() (width R2) + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of K
len (Line (R1,bA)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (((width R2) |-> R1) ^ (Line (R1,bA))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ((width R2) |-> R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ((width R2) |-> R1)) + (len (Line (R1,bA))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (Line (R2,(bA + (len R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len R1) is V15() V33() len R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R1 ) } is set
(len R2) + bA is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg ((len R2) + (len R1)) is V15() V33() (len R2) + (len R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (len R2) + (len R1) ) } is set
dom (K,R1,(K,R2,R1)) is V33() Element of bool NAT
((K,(K,R2,R1)),(bA + (len R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
j is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
Seg (width (K,R1,(K,R2,R1))) is V15() V33() width (K,R1,(K,R2,R1)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (K,R1,(K,R2,R1)) ) } is set
[(bA + (len R2)),j] is set
{(bA + (len R2)),j} is non empty V33() V37() set
{(bA + (len R2))} is non empty trivial V33() V37() 1 -element set
{{(bA + (len R2)),j},{(bA + (len R2))}} is non empty V33() V37() set
Indices (K,R1,(K,R2,R1)) is set
[:(dom (K,R1,(K,R2,R1))),(Seg (width (K,R1,(K,R2,R1)))):] is Relation-like V33() set
dom (((width R2) |-> R1) ^ (Line (R1,bA))) is V33() (width R2) + (width R1) -element Element of bool NAT
dom ((width R2) |-> R1) is V33() width R2 -element Element of bool NAT
Seg (width R2) is V15() V33() width R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R2 ) } is set
(Line (R2,(bA + (len R2)))) . j is set
(K,R1,(K,R2,R1)) * ((bA + (len R2)),j) is Element of K
((width R2) |-> R1) . j is set
(((width R2) |-> R1) ^ (Line (R1,bA))) . j is set
dom (Line (R1,bA)) is V33() width R1 -element Element of bool NAT
Seg (width R1) is V15() V33() width R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R1 ) } is set
dom ((width R2) |-> R1) is V33() width R2 -element Element of bool NAT
I is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(width R2) + I is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Line (R2,(bA + (len R2)))) . j is set
(K,R1,(K,R2,R1)) * ((bA + (len R2)),j) is Element of K
(K,(K,R2,R1),2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(bA + (len R2)) -' (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
j -' (width R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R2,R1),2) * (((bA + (len R2)) -' (len R2)),(j -' (width R2))) is Element of K
(K,(K,R2,R1),2) * (bA,(j -' (width R2))) is Element of K
(len (K,R2)) + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(K,(K,R2,R1),((len (K,R2)) + 1)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,(K,R2,R1),((len (K,R2)) + 1)) * (bA,I) is Element of K
R1 * (bA,I) is Element of K
(Line (R1,bA)) . I is set
(((width R2) |-> R1) ^ (Line (R1,bA))) . j is set
(Line (R2,(bA + (len R2)))) . j is set
(((width R2) |-> R1) ^ (Line (R1,bA))) . j is set
(Line (R2,(bA + (len R2)))) . j is set
(((width R2) |-> R1) ^ (Line (R1,bA))) . j is set
Sum ((K,(K,R2,R1)) | 2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Indices R2 is set
dom R2 is V33() Element of bool NAT
Seg (width R2) is V15() V33() width R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R2 ) } is set
[:(dom R2),(Seg (width R2)):] is Relation-like V33() set
Indices (K,R1,(K,R2,R1)) is set
dom (K,R1,(K,R2,R1)) is V33() Element of bool NAT
Seg (width (K,R1,(K,R2,R1))) is V15() V33() width (K,R1,(K,R2,R1)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (K,R1,(K,R2,R1)) ) } is set
[:(dom (K,R1,(K,R2,R1))),(Seg (width (K,R1,(K,R2,R1)))):] is Relation-like V33() set
bAB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
i is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
[bAB,i] is set
{bAB,i} is non empty V33() V37() set
{bAB} is non empty trivial V33() V37() 1 -element set
{{bAB,i},{bAB}} is non empty V33() V37() set
Seg ((len R2) + (len R1)) is V15() V33() (len R2) + (len R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (len R2) + (len R1) ) } is set
Line (R2,bAB) is Relation-like NAT -defined K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on K
len (Line (R2,bAB)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ((width R2) |-> R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ((width R1) |-> R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Line (R2,bAB)) ^ ((width R1) |-> R1) is Relation-like NAT -defined K -valued Function-like V33() (width R2) + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of K
len ((Line (R2,bAB)) ^ ((width R1) |-> R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (Line (R2,bAB))) + (len ((width R1) |-> R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len R2) is V15() V33() len R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R2 ) } is set
bAB + {} is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
((K,(K,R2,R1)),(bAB + {})) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width R2) is V15() V33() width R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R2 ) } is set
dom (Line (R2,bAB)) is V33() width R2 -element Element of bool NAT
(K,R1,(K,R2,R1)) * (bAB,i) is Element of K
(K,(K,R2,R1),1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
bAB -' {} is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
i -' {} is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R2,R1),1) * ((bAB -' {}),(i -' {})) is Element of K
(K,(K,R2,R1),1) * (bAB,(i -' {})) is Element of K
(K,(K,R2,R1),1) * (bAB,i) is Element of K
R2 * (bAB,i) is Element of K
(Line (R2,bAB)) . i is set
((Line (R2,bAB)) ^ ((width R1) |-> R1)) . i is set
dom (Line (R2,bAB)) is V33() width R2 -element Element of bool NAT
dom ((width R1) |-> R1) is V33() width R1 -element Element of bool NAT
Seg (width R1) is V15() V33() width R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R1 ) } is set
dom ((Line (R2,bAB)) ^ ((width R1) |-> R1)) is V33() (width R2) + (width R1) -element Element of bool NAT
I is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len (Line (R2,bAB))) + I is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1,(K,R2,R1)) * (bAB,i) is Element of K
((width R1) |-> R1) . I is set
((Line (R2,bAB)) ^ ((width R1) |-> R1)) . i is set
(K,R1,(K,R2,R1)) * (bAB,i) is Element of K
((Line (R2,bAB)) ^ ((width R1) |-> R1)) . i is set
(K,R1,(K,R2,R1)) * (bAB,i) is Element of K
((Line (R2,bAB)) ^ ((width R1) |-> R1)) . i is set
Line (R2,bAB) is Relation-like NAT -defined K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on K
R2 * (bAB,i) is Element of K
bAB - (len R2) is V31() ext-real V141() set
I is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (R1,I) is Relation-like NAT -defined K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on K
I + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len R1) is V15() V33() len R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R1 ) } is set
((K,(K,R2,R1)),(I + (len R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width R2) is V15() V33() width R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R2 ) } is set
dom ((width R2) |-> R1) is V33() width R2 -element Element of bool NAT
(K,R1,(K,R2,R1)) * (bAB,i) is Element of K
((width R2) |-> R1) . i is set
((width R2) |-> R1) ^ (Line (R1,I)) is Relation-like NAT -defined K -valued Function-like V33() (width R2) + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of K
(((width R2) |-> R1) ^ (Line (R1,I))) . i is set
len (Line (R1,I)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ((width R1) |-> R1) is V33() width R1 -element Element of bool NAT
dom (Line (R1,I)) is V33() width R1 -element Element of bool NAT
dom (Line (R2,bAB)) is V33() width R2 -element Element of bool NAT
Seg (width R1) is V15() V33() width R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R1 ) } is set
dom ((Line (R2,bAB)) ^ ((width R1) |-> R1)) is V33() (width R2) + (width R1) -element Element of bool NAT
L9n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(width R2) + L9n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1,(K,R2,R1)) * (bAB,i) is Element of K
(K,(K,R2,R1),2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(I + (len R2)) -' (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
i -' (width R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R2,R1),2) * (((I + (len R2)) -' (len R2)),(i -' (width R2))) is Element of K
(K,(K,R2,R1),2) * (I,(i -' (width R2))) is Element of K
(len (K,R2)) + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(K,(K,R2,R1),((len (K,R2)) + 1)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,(K,R2,R1),((len (K,R2)) + 1)) * (I,L9n) is Element of K
R1 * (I,L9n) is Element of K
(Line (R1,I)) . L9n is set
((width R2) |-> R1) ^ (Line (R1,I)) is Relation-like NAT -defined K -valued Function-like V33() (width R2) + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of K
(((width R2) |-> R1) ^ (Line (R1,I))) . i is set
(K,R1,(K,R2,R1)) * (bAB,i) is Element of K
((width R2) |-> R1) ^ (Line (R1,I)) is Relation-like NAT -defined K -valued Function-like V33() (width R2) + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of K
(((width R2) |-> R1) ^ (Line (R1,I))) . i is set
(K,R1,(K,R2,R1)) * (bAB,i) is Element of K
((width R2) |-> R1) ^ (Line (R1,I)) is Relation-like NAT -defined K -valued Function-like V33() (width R2) + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of K
(((width R2) |-> R1) ^ (Line (R1,I))) . i is set
Line (R2,(I + (len R2))) is Relation-like NAT -defined K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on K
R2 * (bAB,i) is Element of K
R2 * (bAB,i) is Element of K
(K,R1,(K,R2,R1)) * (bAB,i) is Element of K
R2 * (bAB,i) is Element of K
(K,R1,(K,R2,R1)) * (bAB,i) is Element of K
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
R1 is Element of K
R2 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
width R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width R2) is V15() V33() width R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R2 ) } is set
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) |-> R1 is Relation-like NAT -defined K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on K
(len R2) -tuples_on K is functional non empty FinSequence-membered FinSequenceSet of K
R1 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,R2,R1) is Relation-like NAT -defined (K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
<*R2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
<*R2*> ^ <*R1*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
(K,(K,R2,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2,R1)) -tuples_on NAT
len (K,R2,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R2,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R2,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2,R1)) -tuples_on NAT
Sum (K,(K,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1,(K,R2,R1)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,R2,R1)), Sum (K,(K,R2,R1)),K
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) |-> R1 is Relation-like NAT -defined K -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like Element of (len R1) -tuples_on K
(len R1) -tuples_on K is functional non empty FinSequence-membered FinSequenceSet of K
width R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width R1) is V15() V33() width R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R1 ) } is set
R2 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,R2,R1)), Sum (K,(K,R2,R1)),K
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len R2) is V15() V33() len R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R2 ) } is set
dom R2 is V33() Element of bool NAT
Seg (len R2) is V15() V33() len R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R2 ) } is set
dom R2 is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
Seg (len R1) is V15() V33() len R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R1 ) } is set
(len R2) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width R2) + (width R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width R2) is V15() V33() width R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R2 ) } is set
(width R1) |-> R1 is Relation-like NAT -defined K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on K
(width R1) -tuples_on K is functional non empty FinSequence-membered FinSequenceSet of K
dom ((width R1) |-> R1) is V33() width R1 -element Element of bool NAT
(width R2) |-> R1 is Relation-like NAT -defined K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on K
(width R2) -tuples_on K is functional non empty FinSequence-membered FinSequenceSet of K
dom ((width R2) |-> R1) is V33() width R2 -element Element of bool NAT
b2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
Col (R2,b2n) is Relation-like NAT -defined K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on K
(len R2) -tuples_on K is functional non empty FinSequence-membered FinSequenceSet of K
Col (R2,b2n) is Relation-like NAT -defined K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on K
(Col (R2,b2n)) ^ ((len R1) |-> R1) is Relation-like NAT -defined K -valued Function-like V33() (len R2) + (len R1) -element FinSequence-like FinSubsequence-like FinSequence of K
(len R2) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2n + (width R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Col (R2,(b2n + (width R2))) is Relation-like NAT -defined K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on K
Col (R1,b2n) is Relation-like NAT -defined K -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like Element of (len R1) -tuples_on K
((len R2) |-> R1) ^ (Col (R1,b2n)) is Relation-like NAT -defined K -valued Function-like V33() (len R2) + (len R1) -element FinSequence-like FinSubsequence-like FinSequence of K
len (Col (R2,b2n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ((len R2) |-> R1) is V33() len R2 -element Element of bool NAT
dom ((len R1) |-> R1) is V33() len R1 -element Element of bool NAT
len (Col (R2,b2n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (Col (R2,b2n)) is V33() len R2 -element Element of bool NAT
len ((len R1) |-> R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ((Col (R2,b2n)) ^ ((len R1) |-> R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (Col (R2,b2n))) + (len ((len R1) |-> R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
bB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(Col (R2,b2n)) . bB is set
Line (R2,bB) is Relation-like NAT -defined K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on K
(width R2) -tuples_on K is functional non empty FinSequence-membered FinSequenceSet of K
(Line (R2,bB)) . b2n is set
Line (R2,bB) is Relation-like NAT -defined K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on K
dom (Line (R2,bB)) is V33() width R2 -element Element of bool NAT
dom ((Col (R2,b2n)) ^ ((len R1) |-> R1)) is V33() (len R2) + (len R1) -element Element of bool NAT
(Line (R2,bB)) ^ ((width R1) |-> R1) is Relation-like NAT -defined K -valued Function-like V33() (width R2) + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of K
(width R2) + (width R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((Line (R2,bB)) ^ ((width R1) |-> R1)) . b2n is set
(Line (R2,bB)) . b2n is set
(Col (R2,b2n)) . bB is set
((Col (R2,b2n)) ^ ((len R1) |-> R1)) . bB is set
bA is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len (Col (R2,b2n))) + bA is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
bA is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len (Col (R2,b2n))) + bA is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (R1,bA) is Relation-like NAT -defined K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on K
((width R2) |-> R1) ^ (Line (R1,bA)) is Relation-like NAT -defined K -valued Function-like V33() (width R2) + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of K
(width R2) + (width R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(((width R2) |-> R1) ^ (Line (R1,bA))) . b2n is set
((width R2) |-> R1) . b2n is set
((len R1) |-> R1) . bA is set
((Col (R2,b2n)) ^ ((len R1) |-> R1)) . bB is set
((Col (R2,b2n)) ^ ((len R1) |-> R1)) . bB is set
((Col (R2,b2n)) ^ ((len R1) |-> R1)) . bB is set
len (Col (R2,(b2n + (width R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (Col (R1,b2n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (Col (R1,b2n)) is V33() len R1 -element Element of bool NAT
len (((len R2) |-> R1) ^ (Col (R1,b2n))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ((len R2) |-> R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ((len R2) |-> R1)) + (len (Col (R1,b2n))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ((width R2) |-> R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
bAbB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(Col (R2,(b2n + (width R2)))) . bAbB is set
Line (R2,bAbB) is Relation-like NAT -defined K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on K
(width R2) -tuples_on K is functional non empty FinSequence-membered FinSequenceSet of K
(Line (R2,bAbB)) . (b2n + (width R2)) is set
Line (R2,bAbB) is Relation-like NAT -defined K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on K
len (Line (R2,bAbB)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (((len R2) |-> R1) ^ (Col (R1,b2n))) is V33() (len R2) + (len R1) -element Element of bool NAT
(Line (R2,bAbB)) ^ ((width R1) |-> R1) is Relation-like NAT -defined K -valued Function-like V33() (width R2) + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of K
(width R2) + (width R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((Line (R2,bAbB)) ^ ((width R1) |-> R1)) . (b2n + (width R2)) is set
((width R1) |-> R1) . b2n is set
((len R2) |-> R1) . bAbB is set
(((len R2) |-> R1) ^ (Col (R1,b2n))) . bAbB is set
bAB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len ((len R2) |-> R1)) + bAB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
bAB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len ((len R2) |-> R1)) + bAB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (R1,bAB) is Relation-like NAT -defined K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on K
dom (Line (R1,bAB)) is V33() width R1 -element Element of bool NAT
((width R2) |-> R1) ^ (Line (R1,bAB)) is Relation-like NAT -defined K -valued Function-like V33() (width R2) + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of K
(width R2) + (width R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(((width R2) |-> R1) ^ (Line (R1,bAB))) . (b2n + (width R2)) is set
(Line (R1,bAB)) . b2n is set
(Col (R1,b2n)) . bAB is set
(((len R2) |-> R1) ^ (Col (R1,b2n))) . bAbB is set
(((len R2) |-> R1) ^ (Col (R1,b2n))) . bAbB is set
(((len R2) |-> R1) ^ (Col (R1,b2n))) . bAbB is set
(width R1) |-> R1 is Relation-like NAT -defined K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on K
(width R1) -tuples_on K is functional non empty FinSequence-membered FinSequenceSet of K
(width R2) |-> R1 is Relation-like NAT -defined K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on K
(width R2) -tuples_on K is functional non empty FinSequence-membered FinSequenceSet of K
b2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
Line (R2,b2n) is Relation-like NAT -defined K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on K
(width R2) -tuples_on K is functional non empty FinSequence-membered FinSequenceSet of K
b2n + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (R2,(b2n + (len R2))) is Relation-like NAT -defined K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on K
Line (R2,b2n) is Relation-like NAT -defined K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on K
Line (R1,b2n) is Relation-like NAT -defined K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on K
len (Line (R2,(b2n + (len R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ((width R1) |-> R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ((width R1) |-> R1) is V33() width R1 -element Element of bool NAT
len (Line (R2,b2n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (Line (R2,b2n)) is V33() width R2 -element Element of bool NAT
len (Line (R2,b2n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (Line (R2,b2n)) is V33() width R2 -element Element of bool NAT
(Line (R2,b2n)) ^ ((width R1) |-> R1) is Relation-like NAT -defined K -valued Function-like V33() (width R2) + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of K
(width R2) + (width R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ((Line (R2,b2n)) ^ ((width R1) |-> R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (Line (R2,b2n))) + (len ((width R1) |-> R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ((len R2) |-> R1) is V33() len R2 -element Element of bool NAT
bAbB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(Line (R2,b2n)) . bAbB is set
Col (R2,bAbB) is Relation-like NAT -defined K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on K
(len R2) -tuples_on K is functional non empty FinSequence-membered FinSequenceSet of K
(Col (R2,bAbB)) . b2n is set
Col (R2,bAbB) is Relation-like NAT -defined K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on K
dom (Col (R2,bAbB)) is V33() len R2 -element Element of bool NAT
dom ((Line (R2,b2n)) ^ ((width R1) |-> R1)) is V33() (width R2) + (width R1) -element Element of bool NAT
(Col (R2,bAbB)) ^ ((len R1) |-> R1) is Relation-like NAT -defined K -valued Function-like V33() (len R2) + (len R1) -element FinSequence-like FinSubsequence-like FinSequence of K
(len R2) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((Col (R2,bAbB)) ^ ((len R1) |-> R1)) . b2n is set
(Col (R2,bAbB)) . b2n is set
(Line (R2,b2n)) . bAbB is set
((Line (R2,b2n)) ^ ((width R1) |-> R1)) . bAbB is set
bAB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len (Line (R2,b2n))) + bAB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
bAB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len (Line (R2,b2n))) + bAB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Col (R1,bAB) is Relation-like NAT -defined K -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like Element of (len R1) -tuples_on K
((len R2) |-> R1) ^ (Col (R1,bAB)) is Relation-like NAT -defined K -valued Function-like V33() (len R2) + (len R1) -element FinSequence-like FinSubsequence-like FinSequence of K
(len R2) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(((len R2) |-> R1) ^ (Col (R1,bAB))) . b2n is set
((len R2) |-> R1) . b2n is set
((width R1) |-> R1) . bAB is set
((Line (R2,b2n)) ^ ((width R1) |-> R1)) . bAbB is set
((Line (R2,b2n)) ^ ((width R1) |-> R1)) . bAbB is set
((Line (R2,b2n)) ^ ((width R1) |-> R1)) . bAbB is set
len (Line (R1,b2n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (Line (R1,b2n)) is V33() width R1 -element Element of bool NAT
len ((width R2) |-> R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ((width R2) |-> R1) is V33() width R2 -element Element of bool NAT
((width R2) |-> R1) ^ (Line (R1,b2n)) is Relation-like NAT -defined K -valued Function-like V33() (width R2) + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of K
len (((width R2) |-> R1) ^ (Line (R1,b2n))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ((width R2) |-> R1)) + (len (Line (R1,b2n))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ((len R2) |-> R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ((len R1) |-> R1) is V33() len R1 -element Element of bool NAT
bAbB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(Line (R2,(b2n + (len R2)))) . bAbB is set
Col (R2,bAbB) is Relation-like NAT -defined K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on K
(len R2) -tuples_on K is functional non empty FinSequence-membered FinSequenceSet of K
(Col (R2,bAbB)) . (b2n + (len R2)) is set
Col (R2,bAbB) is Relation-like NAT -defined K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on K
len (Col (R2,bAbB)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (((width R2) |-> R1) ^ (Line (R1,b2n))) is V33() (width R2) + (width R1) -element Element of bool NAT
(Col (R2,bAbB)) ^ ((len R1) |-> R1) is Relation-like NAT -defined K -valued Function-like V33() (len R2) + (len R1) -element FinSequence-like FinSubsequence-like FinSequence of K
(len R2) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((Col (R2,bAbB)) ^ ((len R1) |-> R1)) . (b2n + (len R2)) is set
((len R1) |-> R1) . b2n is set
((width R2) |-> R1) . bAbB is set
(((width R2) |-> R1) ^ (Line (R1,b2n))) . bAbB is set
bAB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len ((width R2) |-> R1)) + bAB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
bAB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len ((width R2) |-> R1)) + bAB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Col (R1,bAB) is Relation-like NAT -defined K -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like Element of (len R1) -tuples_on K
dom (Col (R1,bAB)) is V33() len R1 -element Element of bool NAT
((len R2) |-> R1) ^ (Col (R1,bAB)) is Relation-like NAT -defined K -valued Function-like V33() (len R2) + (len R1) -element FinSequence-like FinSubsequence-like FinSequence of K
(len R2) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(((len R2) |-> R1) ^ (Col (R1,bAB))) . (b2n + (len R2)) is set
(Col (R1,bAB)) . b2n is set
(Line (R1,b2n)) . bAB is set
(((width R2) |-> R1) ^ (Line (R1,b2n))) . bAbB is set
(((width R2) |-> R1) ^ (Line (R1,b2n))) . bAbB is set
(((width R2) |-> R1) ^ (Line (R1,b2n))) . bAbB is set
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Element of K
R2 is Element of K
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,R1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,R1), Sum (K,R1),K
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
Sum (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Indices (K,R1,R1) is set
dom (K,R1,R1) is V33() Element of bool NAT
width (K,R1,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width (K,R1,R1)) is V15() V33() width (K,R1,R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (K,R1,R1) ) } is set
[:(dom (K,R1,R1)),(Seg (width (K,R1,R1))):] is Relation-like V33() set
R2 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,R2) is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R2,(K,R1,R2)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,R1,R2)), Sum (K,(K,R1,R2)),K
(K,(K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,R2)) -tuples_on NAT
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R1,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,R2)) -tuples_on NAT
Sum (K,(K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Indices (K,R2,(K,R1,R2)) is set
dom (K,R2,(K,R1,R2)) is V33() Element of bool NAT
width (K,R2,(K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width (K,R2,(K,R1,R2))) is V15() V33() width (K,R2,(K,R1,R2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (K,R2,(K,R1,R2)) ) } is set
[:(dom (K,R2,(K,R1,R2))),(Seg (width (K,R2,(K,R1,R2)))):] is Relation-like V33() set
bool (Indices (K,R2,(K,R1,R2))) is set
(K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(K,R1) ^ (K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() (len R1) + (len R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len R1) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (K,R1)) + (Sum (K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
{} + (Sum (K,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum (K,R1)) is V15() V33() Sum (K,R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (K,R1) ) } is set
Seg (Sum (K,(K,R1,R2))) is V15() V33() Sum (K,(K,R1,R2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (K,(K,R1,R2)) ) } is set
len (K,R2,(K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len (K,R2,(K,R1,R2))) is V15() V33() len (K,R2,(K,R1,R2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (K,R2,(K,R1,R2)) ) } is set
(K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
(K,R1) ^ (K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() (len R1) + (len R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Sum (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (K,R1)) + (Sum (K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
{} + (Sum (K,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum (K,R1)) is V15() V33() Sum (K,R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (K,R1) ) } is set
Seg (Sum (K,(K,R1,R2))) is V15() V33() Sum (K,(K,R1,R2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (K,(K,R1,R2)) ) } is set
len (K,R1,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b12 is set
Seg (len (K,R1,R1)) is V15() V33() len (K,R1,R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (K,R1,R1) ) } is set
R2n is set
b2n is set
[R2n,b2n] is set
{R2n,b2n} is non empty V33() set
{R2n} is non empty trivial V33() 1 -element set
{{R2n,b2n},{R2n}} is non empty V33() V37() set
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
[K,R1] is set
{K,R1} is non empty V33() V37() set
{K} is non empty trivial V33() V37() 1 -element set
{{K,R1},{K}} is non empty V33() V37() set
R2 is non empty set
R2 * is functional non empty FinSequence-membered FinSequenceSet of R2
(R2 *) * is functional non empty FinSequence-membered FinSequenceSet of R2 *
R1 is Element of R2
R2 is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,R1,R2) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,R2), Sum (R2,R2),R2
(R2,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
Sum (R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Indices (R2,R1,R2) is set
dom (R2,R1,R2) is V33() Element of bool NAT
width (R2,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width (R2,R1,R2)) is V15() V33() width (R2,R1,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (R2,R1,R2) ) } is set
[:(dom (R2,R1,R2)),(Seg (width (R2,R1,R2))):] is Relation-like V33() set
(R2,R1,R2) * (K,R1) is Element of R2
b2 is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,R2,b2) is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,R1,(R2,R2,b2)) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,(R2,R2,b2)), Sum (R2,(R2,R2,b2)),R2
(R2,(R2,R2,b2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,R2,b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,R2,b2)) -tuples_on NAT
len (R2,R2,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (R2,R2,b2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,(R2,R2,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,R2,b2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,R2,b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,R2,b2)) -tuples_on NAT
Sum (R2,(R2,R2,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R1,(R2,R2,b2)) * (K,R1) is Element of R2
(R2,b2) is Relation-like NAT -defined NAT -valued Function-like V33() len b2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b2) -tuples_on NAT
len b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(R2,b2) is Relation-like NAT -defined NAT -valued Function-like V33() len b2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b2) -tuples_on NAT
len (R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R2,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len (R2,R1,R2)) is V15() V33() len (R2,R1,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (R2,R1,R2) ) } is set
((R2,R2),K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (R2,R2) is V33() len R2 -element Element of bool NAT
len (R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R2) ^ (R2,b2) is Relation-like NAT -defined NAT -valued Function-like V33() (len R2) + (len b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len R2) + (len b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((R2,(R2,R2,b2)),K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R2 is V33() Element of bool NAT
(R2,R2) ^ (R2,b2) is Relation-like NAT -defined NAT -valued Function-like V33() (len R2) + (len b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Indices (R2,R1,(R2,R2,b2)) is set
dom (R2,R1,(R2,R2,b2)) is V33() Element of bool NAT
width (R2,R1,(R2,R2,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width (R2,R1,(R2,R2,b2))) is V15() V33() width (R2,R1,(R2,R2,b2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (R2,R1,(R2,R2,b2)) ) } is set
[:(dom (R2,R1,(R2,R2,b2))),(Seg (width (R2,R1,(R2,R2,b2)))):] is Relation-like V33() set
bool (Indices (R2,R1,(R2,R2,b2))) is set
((R2,R2) ^ (R2,b2)) | ((R2,(R2,R2,b2)),K) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg ((R2,(R2,R2,b2)),K) is V15() V33() ((R2,(R2,R2,b2)),K) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= ((R2,(R2,R2,b2)),K) ) } is set
((R2,R2) ^ (R2,b2)) | (Seg ((R2,(R2,R2,b2)),K)) is Relation-like Seg ((R2,(R2,R2,b2)),K) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
(R2,R2) | ((R2,R2),K) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg ((R2,R2),K) is V15() V33() ((R2,R2),K) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= ((R2,R2),K) ) } is set
(R2,R2) | (Seg ((R2,R2),K)) is Relation-like Seg ((R2,R2),K) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
((R2,R2),K) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((R2,(R2,R2,b2)),K) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((R2,R2) ^ (R2,b2)) | (((R2,(R2,R2,b2)),K) -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (((R2,(R2,R2,b2)),K) -' 1) is V15() V33() ((R2,(R2,R2,b2)),K) -' 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= ((R2,(R2,R2,b2)),K) -' 1 ) } is set
((R2,R2) ^ (R2,b2)) | (Seg (((R2,(R2,R2,b2)),K) -' 1)) is Relation-like Seg (((R2,(R2,R2,b2)),K) -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
(R2,R2) | (((R2,R2),K) -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (((R2,R2),K) -' 1) is V15() V33() ((R2,R2),K) -' 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= ((R2,R2),K) -' 1 ) } is set
(R2,R2) | (Seg (((R2,R2),K) -' 1)) is Relation-like Seg (((R2,R2),K) -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
((R2,R2) ^ (R2,b2)) | (((R2,(R2,R2,b2)),K) -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
((R2,R2) ^ (R2,b2)) | (Seg (((R2,(R2,R2,b2)),K) -' 1)) is Relation-like Seg (((R2,(R2,R2,b2)),K) -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
(R2,R2) | (((R2,R2),K) -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(R2,R2) | (Seg (((R2,R2),K) -' 1)) is Relation-like Seg (((R2,R2),K) -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((R2,R2) | (((R2,R2),K) -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum ((R2,R2) | ((R2,R2),K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum ((R2,R2) | (((R2,R2),K) -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum ((R2,R2) | ((R2,R2),K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R2,((R2,R2),K)) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of R2 *
Sum ((R2,R2) | (((R2,R2),K) -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K -' (Sum ((R2,R2) | (((R2,R2),K) -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 -' (Sum ((R2,R2) | (((R2,R2),K) -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R2,((R2,R2),K)) * ((K -' (Sum ((R2,R2) | (((R2,R2),K) -' 1)))),(R1 -' (Sum ((R2,R2) | (((R2,R2),K) -' 1))))) is Element of R2
(R2,(R2,R2,b2),((R2,R2),K)) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of R2 *
(R2,(R2,R2,b2),((R2,R2),K)) * ((K -' (Sum ((R2,R2) | (((R2,R2),K) -' 1)))),(R1 -' (Sum ((R2,R2) | (((R2,R2),K) -' 1))))) is Element of R2
Sum ((R2,R2) | (((R2,R2),K) -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum ((R2,R2) | ((R2,R2),K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
[K,R1] is set
{K,R1} is non empty V33() V37() set
{K} is non empty trivial V33() V37() 1 -element set
{{K,R1},{K}} is non empty V33() V37() set
R2 is non empty set
R2 * is functional non empty FinSequence-membered FinSequenceSet of R2
(R2 *) * is functional non empty FinSequence-membered FinSequenceSet of R2 *
R1 is Element of R2
R2 is Element of R2
b2 is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,R1,b2) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,b2), Sum (R2,b2),R2
(R2,b2) is Relation-like NAT -defined NAT -valued Function-like V33() len b2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b2) -tuples_on NAT
len b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,b2) is Relation-like NAT -defined NAT -valued Function-like V33() len b2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b2) -tuples_on NAT
Sum (R2,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Indices (R2,R1,b2) is set
dom (R2,R1,b2) is V33() Element of bool NAT
width (R2,R1,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width (R2,R1,b2)) is V15() V33() width (R2,R1,b2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (R2,R1,b2) ) } is set
[:(dom (R2,R1,b2)),(Seg (width (R2,R1,b2))):] is Relation-like V33() set
b1 is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,b1) is Relation-like NAT -defined NAT -valued Function-like V33() len b1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b1) -tuples_on NAT
len b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,b1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K + (Sum (R2,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,b1) is Relation-like NAT -defined NAT -valued Function-like V33() len b1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b1) -tuples_on NAT
Sum (R2,b1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 + (Sum (R2,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
[(K + (Sum (R2,b1))),(R1 + (Sum (R2,b1)))] is set
{(K + (Sum (R2,b1))),(R1 + (Sum (R2,b1)))} is non empty V33() V37() set
{(K + (Sum (R2,b1)))} is non empty trivial V33() V37() 1 -element set
{{(K + (Sum (R2,b1))),(R1 + (Sum (R2,b1)))},{(K + (Sum (R2,b1)))}} is non empty V33() V37() set
(R2,b1,b2) is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,R2,(R2,b1,b2)) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,(R2,b1,b2)), Sum (R2,(R2,b1,b2)),R2
(R2,(R2,b1,b2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,b1,b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,b1,b2)) -tuples_on NAT
len (R2,b1,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (R2,b1,b2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,(R2,b1,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,b1,b2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,b1,b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,b1,b2)) -tuples_on NAT
Sum (R2,(R2,b1,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Indices (R2,R2,(R2,b1,b2)) is set
dom (R2,R2,(R2,b1,b2)) is V33() Element of bool NAT
width (R2,R2,(R2,b1,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width (R2,R2,(R2,b1,b2))) is V15() V33() width (R2,R2,(R2,b1,b2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (R2,R2,(R2,b1,b2)) ) } is set
[:(dom (R2,R2,(R2,b1,b2))),(Seg (width (R2,R2,(R2,b1,b2)))):] is Relation-like V33() set
len (R2,R2,(R2,b1,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len (R2,R2,(R2,b1,b2))) is V15() V33() len (R2,R2,(R2,b1,b2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (R2,R2,(R2,b1,b2)) ) } is set
(R2,b1) ^ (R2,b2) is Relation-like NAT -defined NAT -valued Function-like V33() (len b1) + (len b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len b1) + (len b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (R2,b1)) + (Sum (R2,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R2,R1,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,b1) ^ (R2,b2) is Relation-like NAT -defined NAT -valued Function-like V33() (len b1) + (len b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(Sum (R2,b1)) + (Sum (R2,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len (R2,R1,b2)) is V15() V33() len (R2,R1,b2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (R2,R1,b2) ) } is set
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
[K,R1] is set
{K,R1} is non empty V33() V37() set
{K} is non empty trivial V33() V37() 1 -element set
{{K,R1},{K}} is non empty V33() V37() set
R2 is non empty set
R2 * is functional non empty FinSequence-membered FinSequenceSet of R2
(R2 *) * is functional non empty FinSequence-membered FinSequenceSet of R2 *
R1 is Element of R2
R2 is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,R1,R2) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,R2), Sum (R2,R2),R2
(R2,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
Sum (R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Indices (R2,R1,R2) is set
dom (R2,R1,R2) is V33() Element of bool NAT
width (R2,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width (R2,R1,R2)) is V15() V33() width (R2,R1,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (R2,R1,R2) ) } is set
[:(dom (R2,R1,R2)),(Seg (width (R2,R1,R2))):] is Relation-like V33() set
(R2,R1,R2) * (K,R1) is Element of R2
b2 is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,b2,R2) is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,R1,(R2,b2,R2)) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,(R2,b2,R2)), Sum (R2,(R2,b2,R2)),R2
(R2,(R2,b2,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,b2,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,b2,R2)) -tuples_on NAT
len (R2,b2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (R2,b2,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,(R2,b2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,b2,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,b2,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,b2,R2)) -tuples_on NAT
Sum (R2,(R2,b2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,b2) is Relation-like NAT -defined NAT -valued Function-like V33() len b2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b2) -tuples_on NAT
len b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K + (Sum (R2,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,b2) is Relation-like NAT -defined NAT -valued Function-like V33() len b2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b2) -tuples_on NAT
Sum (R2,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 + (Sum (R2,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R1,(R2,b2,R2)) * ((K + (Sum (R2,b2))),(R1 + (Sum (R2,b2)))) is Element of R2
dom (R2,R1,(R2,b2,R2)) is V33() Element of bool NAT
len (R2,R1,(R2,b2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len (R2,R1,(R2,b2,R2))) is V15() V33() len (R2,R1,(R2,b2,R2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (R2,R1,(R2,b2,R2)) ) } is set
(R2,b2) ^ (R2,R2) is Relation-like NAT -defined NAT -valued Function-like V33() (len b2) + (len R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len b2) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (R2,b2)) + (Sum (R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
{} + (Sum (R2,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum (R2,b2)) is V15() V33() Sum (R2,b2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (R2,b2) ) } is set
[(K + (Sum (R2,b2))),(R1 + (Sum (R2,b2)))] is set
{(K + (Sum (R2,b2))),(R1 + (Sum (R2,b2)))} is non empty V33() V37() set
{(K + (Sum (R2,b2)))} is non empty trivial V33() V37() 1 -element set
{{(K + (Sum (R2,b2))),(R1 + (Sum (R2,b2)))},{(K + (Sum (R2,b2)))}} is non empty V33() V37() set
Indices (R2,R1,(R2,b2,R2)) is set
width (R2,R1,(R2,b2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width (R2,R1,(R2,b2,R2))) is V15() V33() width (R2,R1,(R2,b2,R2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (R2,R1,(R2,b2,R2)) ) } is set
[:(dom (R2,R1,(R2,b2,R2))),(Seg (width (R2,R1,(R2,b2,R2)))):] is Relation-like V33() set
Seg ((Sum (R2,b2)) + (Sum (R2,R2))) is V15() V33() (Sum (R2,b2)) + (Sum (R2,R2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (Sum (R2,b2)) + (Sum (R2,R2)) ) } is set
(Seg ((Sum (R2,b2)) + (Sum (R2,R2)))) \ (Seg (Sum (R2,b2))) is V15() V33() Element of bool NAT
((R2,(R2,b2,R2)),(K + (Sum (R2,b2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K + (Sum (R2,b2))) -' (Sum (R2,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((R2,R2),((K + (Sum (R2,b2))) -' (Sum (R2,b2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R2,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((R2,R2),((K + (Sum (R2,b2))) -' (Sum (R2,b2)))) + (len (R2,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R2,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R2,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len (R2,R1,R2)) is V15() V33() len (R2,R1,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (R2,R1,R2) ) } is set
((R2,R2),K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (R2,R2) is V33() len R2 -element Element of bool NAT
len (R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K + (Sum (R2,b2))) - (Sum (R2,b2)) is V31() ext-real V141() set
((R2,R2),K) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R2) | (((R2,R2),K) -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (((R2,R2),K) -' 1) is V15() V33() ((R2,R2),K) -' 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= ((R2,R2),K) -' 1 ) } is set
(R2,R2) | (Seg (((R2,R2),K) -' 1)) is Relation-like Seg (((R2,R2),K) -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((R2,R2) | (((R2,R2),K) -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (R2,b2)) + (Sum ((R2,R2) | (((R2,R2),K) -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R1 + (Sum (R2,b2))) -' ((Sum (R2,b2)) + (Sum ((R2,R2) | (((R2,R2),K) -' 1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 -' (Sum ((R2,R2) | (((R2,R2),K) -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R2) | (((R2,R2),K) -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(R2,R2) | (Seg (((R2,R2),K) -' 1)) is Relation-like Seg (((R2,R2),K) -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((R2,R2) | (((R2,R2),K) -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (R2,b2)) + (Sum ((R2,R2) | (((R2,R2),K) -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K + (Sum (R2,b2))) -' ((Sum (R2,b2)) + (Sum ((R2,R2) | (((R2,R2),K) -' 1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K -' (Sum ((R2,R2) | (((R2,R2),K) -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,b2) ^ (R2,R2) is Relation-like NAT -defined NAT -valued Function-like V33() (len b2) + (len R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(R2,R2) | ((R2,R2),K) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg ((R2,R2),K) is V15() V33() ((R2,R2),K) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= ((R2,R2),K) ) } is set
(R2,R2) | (Seg ((R2,R2),K)) is Relation-like Seg ((R2,R2),K) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
(R2,b2) ^ ((R2,R2) | ((R2,R2),K)) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(R2,(R2,b2,R2)) | ((R2,(R2,b2,R2)),(K + (Sum (R2,b2)))) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg ((R2,(R2,b2,R2)),(K + (Sum (R2,b2)))) is V15() V33() ((R2,(R2,b2,R2)),(K + (Sum (R2,b2)))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= ((R2,(R2,b2,R2)),(K + (Sum (R2,b2)))) ) } is set
(R2,(R2,b2,R2)) | (Seg ((R2,(R2,b2,R2)),(K + (Sum (R2,b2))))) is Relation-like Seg ((R2,(R2,b2,R2)),(K + (Sum (R2,b2)))) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((R2,R2) | ((R2,R2),K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (R2,b2)) + (Sum ((R2,R2) | ((R2,R2),K))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum ((R2,(R2,b2,R2)) | ((R2,(R2,b2,R2)),(K + (Sum (R2,b2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((R2,R2),K) + (len (R2,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(((R2,R2),K) + (len (R2,b2))) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(((R2,R2),K) -' 1) + (len (R2,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,b2) ^ ((R2,R2) | (((R2,R2),K) -' 1)) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
((R2,(R2,b2,R2)),(K + (Sum (R2,b2)))) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,b2,R2)) | (((R2,(R2,b2,R2)),(K + (Sum (R2,b2)))) -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (((R2,(R2,b2,R2)),(K + (Sum (R2,b2)))) -' 1) is V15() V33() ((R2,(R2,b2,R2)),(K + (Sum (R2,b2)))) -' 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= ((R2,(R2,b2,R2)),(K + (Sum (R2,b2)))) -' 1 ) } is set
(R2,(R2,b2,R2)) | (Seg (((R2,(R2,b2,R2)),(K + (Sum (R2,b2)))) -' 1)) is Relation-like Seg (((R2,(R2,b2,R2)),(K + (Sum (R2,b2)))) -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((R2,(R2,b2,R2)) | (((R2,(R2,b2,R2)),(K + (Sum (R2,b2)))) -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,b2) ^ ((R2,R2) | (((R2,R2),K) -' 1)) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(R2,(R2,b2,R2)) | (((R2,(R2,b2,R2)),(K + (Sum (R2,b2)))) -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(R2,(R2,b2,R2)) | (Seg (((R2,(R2,b2,R2)),(K + (Sum (R2,b2)))) -' 1)) is Relation-like Seg (((R2,(R2,b2,R2)),(K + (Sum (R2,b2)))) -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((R2,(R2,b2,R2)) | (((R2,(R2,b2,R2)),(K + (Sum (R2,b2)))) -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R2,((R2,R2),K)) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of R2 *
(R2,R2,((R2,R2),K)) * ((K -' (Sum ((R2,R2) | (((R2,R2),K) -' 1)))),(R1 -' (Sum ((R2,R2) | (((R2,R2),K) -' 1))))) is Element of R2
(R2,(R2,b2,R2),((R2,(R2,b2,R2)),(K + (Sum (R2,b2))))) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of R2 *
(R2,(R2,b2,R2),((R2,(R2,b2,R2)),(K + (Sum (R2,b2))))) * ((K -' (Sum ((R2,R2) | (((R2,R2),K) -' 1)))),(R1 -' (Sum ((R2,R2) | (((R2,R2),K) -' 1))))) is Element of R2
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
[K,R1] is set
{K,R1} is non empty V33() V37() set
{K} is non empty trivial V33() V37() 1 -element set
{{K,R1},{K}} is non empty V33() V37() set
R2 is non empty set
R2 * is functional non empty FinSequence-membered FinSequenceSet of R2
(R2 *) * is functional non empty FinSequence-membered FinSequenceSet of R2 *
R1 is Element of R2
R2 is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
Sum (R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2 is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,R2,b2) is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,R1,(R2,R2,b2)) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,(R2,R2,b2)), Sum (R2,(R2,R2,b2)),R2
(R2,(R2,R2,b2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,R2,b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,R2,b2)) -tuples_on NAT
len (R2,R2,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (R2,R2,b2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,(R2,R2,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,R2,b2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,R2,b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,R2,b2)) -tuples_on NAT
Sum (R2,(R2,R2,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Indices (R2,R1,(R2,R2,b2)) is set
dom (R2,R1,(R2,R2,b2)) is V33() Element of bool NAT
width (R2,R1,(R2,R2,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width (R2,R1,(R2,R2,b2))) is V15() V33() width (R2,R1,(R2,R2,b2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (R2,R1,(R2,R2,b2)) ) } is set
[:(dom (R2,R1,(R2,R2,b2))),(Seg (width (R2,R1,(R2,R2,b2)))):] is Relation-like V33() set
(R2,R1,(R2,R2,b2)) * (K,R1) is Element of R2
(R2,b2) is Relation-like NAT -defined NAT -valued Function-like V33() len b2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b2) -tuples_on NAT
len b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(R2,b2) is Relation-like NAT -defined NAT -valued Function-like V33() len b2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b2) -tuples_on NAT
len (R2,R1,(R2,R2,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len (R2,R1,(R2,R2,b2))) is V15() V33() len (R2,R1,(R2,R2,b2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (R2,R1,(R2,R2,b2)) ) } is set
len (R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R2) ^ (R2,b2) is Relation-like NAT -defined NAT -valued Function-like V33() (len R2) + (len b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len R2) + (len b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R2) ^ (R2,b2) is Relation-like NAT -defined NAT -valued Function-like V33() (len R2) + (len b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Sum (R2,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (R2,R2)) + (Sum (R2,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum (R2,R2)) is V15() V33() Sum (R2,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (R2,R2) ) } is set
((R2,R2),K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (R2,R2) is V33() len R2 -element Element of bool NAT
(R2,(R2,R2,b2)) | ((R2,R2),K) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg ((R2,R2),K) is V15() V33() ((R2,R2),K) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= ((R2,R2),K) ) } is set
(R2,(R2,R2,b2)) | (Seg ((R2,R2),K)) is Relation-like Seg ((R2,R2),K) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((R2,(R2,R2,b2)) | ((R2,R2),K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,R2,b2)) | (len (R2,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (len (R2,R2)) is V15() V33() len (R2,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (R2,R2) ) } is set
(R2,(R2,R2,b2)) | (Seg (len (R2,R2))) is Relation-like Seg (len (R2,R2)) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((R2,(R2,R2,b2)) | (len (R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((R2,(R2,R2,b2)),K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,R2,b2)) | ((R2,(R2,R2,b2)),K) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg ((R2,(R2,R2,b2)),K) is V15() V33() ((R2,(R2,R2,b2)),K) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= ((R2,(R2,R2,b2)),K) ) } is set
(R2,(R2,R2,b2)) | (Seg ((R2,(R2,R2,b2)),K)) is Relation-like Seg ((R2,(R2,R2,b2)),K) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((R2,(R2,R2,b2)) | ((R2,(R2,R2,b2)),K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum (R2,(R2,R2,b2))) is V15() V33() Sum (R2,(R2,R2,b2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (R2,(R2,R2,b2)) ) } is set
Seg (Sum (R2,R2)) is V15() V33() Sum (R2,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (R2,R2) ) } is set
Seg ((Sum (R2,R2)) + (Sum (R2,b2))) is V15() V33() (Sum (R2,R2)) + (Sum (R2,b2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (Sum (R2,R2)) + (Sum (R2,b2)) ) } is set
(Seg ((Sum (R2,R2)) + (Sum (R2,b2)))) \ (Seg (Sum (R2,R2))) is V15() V33() Element of bool NAT
K -' (Sum (R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K - (Sum (R2,R2)) is V31() ext-real V141() set
(K -' (Sum (R2,R2))) + (Sum (R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum (R2,b2)) is V15() V33() Sum (R2,b2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (R2,b2) ) } is set
((R2,b2),(K -' (Sum (R2,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (R2,b2) is V33() len b2 -element Element of bool NAT
((R2,(R2,R2,b2)),K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((R2,b2),(K -' (Sum (R2,R2)))) + (len (R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((R2,(R2,R2,b2)),K) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((R2,b2),(K -' (Sum (R2,R2)))) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(((R2,b2),(K -' (Sum (R2,R2)))) -' 1) + (len (R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (R2,R2)) + {} is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((R2,R2) ^ (R2,b2)) | (len (R2,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (len (R2,R2)) is V15() V33() len (R2,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (R2,R2) ) } is set
((R2,R2) ^ (R2,b2)) | (Seg (len (R2,R2))) is Relation-like Seg (len (R2,R2)) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum (((R2,R2) ^ (R2,b2)) | (len (R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,R2,b2)) | (((R2,(R2,R2,b2)),K) -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (((R2,(R2,R2,b2)),K) -' 1) is V15() V33() ((R2,(R2,R2,b2)),K) -' 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= ((R2,(R2,R2,b2)),K) -' 1 ) } is set
(R2,(R2,R2,b2)) | (Seg (((R2,(R2,R2,b2)),K) -' 1)) is Relation-like Seg (((R2,(R2,R2,b2)),K) -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((R2,(R2,R2,b2)) | (((R2,(R2,R2,b2)),K) -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Element of K
R2 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
dom R2 is V33() Element of bool NAT
(K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
(K,R1,R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,R2), Sum (K,R2),K
Sum (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Indices (K,R1,R2) is set
dom (K,R1,R2) is V33() Element of bool NAT
width (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width (K,R1,R2)) is V15() V33() width (K,R1,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (K,R1,R2) ) } is set
[:(dom (K,R1,R2)),(Seg (width (K,R1,R2))):] is Relation-like V33() set
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R2,R1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
Indices (K,R2,R1) is set
dom (K,R2,R1) is V33() Element of bool NAT
width (K,R2,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width (K,R2,R1)) is V15() V33() width (K,R2,R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (K,R2,R1) ) } is set
[:(dom (K,R2,R1)),(Seg (width (K,R2,R1))):] is Relation-like V33() set
R1 -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) | (R1 -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (R1 -' 1) is V15() V33() R1 -' 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R1 -' 1 ) } is set
(K,R2) | (Seg (R1 -' 1)) is Relation-like Seg (R1 -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((K,R2) | (R1 -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) | (R1 -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,R2) | (Seg (R1 -' 1)) is Relation-like Seg (R1 -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((K,R2) | (R1 -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 + (Sum ((K,R2) | (R1 -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
[R2,b2] is set
{R2,b2} is non empty V33() V37() set
{R2} is non empty trivial V33() V37() 1 -element set
{{R2,b2},{R2}} is non empty V33() V37() set
b2 + (Sum ((K,R2) | (R1 -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
[(R2 + (Sum ((K,R2) | (R1 -' 1)))),(b2 + (Sum ((K,R2) | (R1 -' 1))))] is set
{(R2 + (Sum ((K,R2) | (R1 -' 1)))),(b2 + (Sum ((K,R2) | (R1 -' 1))))} is non empty V33() V37() set
{(R2 + (Sum ((K,R2) | (R1 -' 1))))} is non empty trivial V33() V37() 1 -element set
{{(R2 + (Sum ((K,R2) | (R1 -' 1)))),(b2 + (Sum ((K,R2) | (R1 -' 1))))},{(R2 + (Sum ((K,R2) | (R1 -' 1))))}} is non empty V33() V37() set
(K,R2,R1) * (R2,b2) is Element of K
(K,R1,R2) * ((R2 + (Sum ((K,R2) | (R1 -' 1)))),(b2 + (Sum ((K,R2) | (R1 -' 1))))) is Element of K
len (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) | (len R2) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (len R2) is V15() V33() len R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R2 ) } is set
(K,R2) | (Seg (len R2)) is Relation-like Seg (len R2) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
(K,R2) | R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg R1 is V15() V33() R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R1 ) } is set
(K,R2) | (Seg R1) is Relation-like Seg R1 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((K,R2) | R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum ((K,R2) | (len R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum ((K,R2) | R1)) is V15() V33() Sum ((K,R2) | R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum ((K,R2) | R1) ) } is set
Seg (Sum (K,R2)) is V15() V33() Sum (K,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (K,R2) ) } is set
dom (K,R2) is V33() len R2 -element Element of bool NAT
(K,R2) . R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R2) /. R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,R2) is V33() len R2 -element Element of bool NAT
(K,R2) . R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R2) /. R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) | R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,R2) | (Seg R1) is Relation-like Seg R1 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((K,R2) | R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum ((K,R2) | R1)) is V15() V33() Sum ((K,R2) | R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum ((K,R2) | R1) ) } is set
len (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) | (len R2) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,R2) | (Seg (len R2)) is Relation-like Seg (len R2) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,R2,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len (K,R2,R1)) is V15() V33() len (K,R2,R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (K,R2,R1) ) } is set
Sum ((K,R2) | (len R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum (K,R2)) is V15() V33() Sum (K,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (K,R2) ) } is set
(Sum ((K,R2) | (R1 -' 1))) + {} is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2 + (Sum ((K,R2) | (R1 -' 1)))) -' (Sum ((K,R2) | (R1 -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2 + (Sum ((K,R2) | (R1 -' 1)))) - (Sum ((K,R2) | (R1 -' 1))) is V31() ext-real V141() set
((K,R2),(R2 + (Sum ((K,R2) | (R1 -' 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len (K,R1,R2)) is V15() V33() len (K,R1,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (K,R1,R2) ) } is set
[:(Seg (len (K,R1,R2))),(Seg (width (K,R1,R2))):] is Relation-like V33() set
(Sum ((K,R2) | (R1 -' 1))) + {} is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(b2 + (Sum ((K,R2) | (R1 -' 1)))) -' (Sum ((K,R2) | (R1 -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(b2 + (Sum ((K,R2) | (R1 -' 1)))) - (Sum ((K,R2) | (R1 -' 1))) is V31() ext-real V141() set
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 is non empty set
R1 * is functional non empty FinSequence-membered FinSequenceSet of R1
(R1 *) * is functional non empty FinSequence-membered FinSequenceSet of R1 *
R2 is Element of R1
R1 is Relation-like NAT -defined (R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R1) FinSequence of (R1 *) *
dom R1 is V33() Element of bool NAT
(R1,R1,K) is Relation-like NAT -defined R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of R1 *
(R1,R2,R1) is Relation-like NAT -defined R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R1,R1), Sum (R1,R1),R1
(R1,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R1,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R1,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
Sum (R1,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R1,R1) | K is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg K is V15() V33() K -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= K ) } is set
(R1,R1) | (Seg K) is Relation-like Seg K -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((R1,R1) | K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum ((R1,R1) | K)) is V15() V33() Sum ((R1,R1) | K) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum ((R1,R1) | K) ) } is set
(R1,R1) | (K -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (K -' 1) is V15() V33() K -' 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= K -' 1 ) } is set
(R1,R1) | (Seg (K -' 1)) is Relation-like Seg (K -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((R1,R1) | (K -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum ((R1,R1) | (K -' 1))) is V15() V33() Sum ((R1,R1) | (K -' 1)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum ((R1,R1) | (K -' 1)) ) } is set
(Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1)))) is V15() V33() Element of bool NAT
(R1,R1) | K is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(R1,R1) | (Seg K) is Relation-like Seg K -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((R1,R1) | K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum ((R1,R1) | K)) is V15() V33() Sum ((R1,R1) | K) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum ((R1,R1) | K) ) } is set
(R1,R1) | (K -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(R1,R1) | (Seg (K -' 1)) is Relation-like Seg (K -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((R1,R1) | (K -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum ((R1,R1) | (K -' 1))) is V15() V33() Sum ((R1,R1) | (K -' 1)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum ((R1,R1) | (K -' 1)) ) } is set
(Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1)))) is V15() V33() Element of bool NAT
Segm ((R1,R2,R1),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1)))))) is Relation-like NAT -defined R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card ((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))), card ((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))),R1
card ((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
card ((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sgm ((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))) is Relation-like NAT -defined NAT -valued Function-like V33() card ((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card ((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1)))))) -tuples_on NAT
(card ((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1)))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sgm ((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))) is Relation-like NAT -defined NAT -valued Function-like V33() card ((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card ((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1)))))) -tuples_on NAT
(card ((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1)))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Segm ((R1,R2,R1),(Sgm ((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1)))))),(Sgm ((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))))) is Relation-like NAT -defined R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card ((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))), card ((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))),R1
dom (R1,R1) is V33() len R1 -element Element of bool NAT
len (R1,R1,K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R1,R1) . K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(Sum ((R1,R1) | (K -' 1))) + ((R1,R1) . K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (R1,R1,K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (R1,R1) is V33() len R1 -element Element of bool NAT
(R1,R1) . K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(Sum ((R1,R1) | (K -' 1))) + ((R1,R1) . K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
card (Seg (Sum ((R1,R1) | K))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
card (Seg (Sum ((R1,R1) | (K -' 1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(card (Seg (Sum ((R1,R1) | K)))) - (card (Seg (Sum ((R1,R1) | (K -' 1))))) is V31() ext-real V141() set
(Sum ((R1,R1) | K)) - (card (Seg (Sum ((R1,R1) | (K -' 1))))) is V31() ext-real V141() set
((Sum ((R1,R1) | (K -' 1))) + ((R1,R1) . K)) - (Sum ((R1,R1) | (K -' 1))) is V31() ext-real V141() set
card (Seg (Sum ((R1,R1) | K))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
card (Seg (Sum ((R1,R1) | (K -' 1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(card (Seg (Sum ((R1,R1) | K)))) - (card (Seg (Sum ((R1,R1) | (K -' 1))))) is V31() ext-real V141() set
(Sum ((R1,R1) | K)) - (card (Seg (Sum ((R1,R1) | (K -' 1))))) is V31() ext-real V141() set
((Sum ((R1,R1) | (K -' 1))) + ((R1,R1) . K)) - (Sum ((R1,R1) | (K -' 1))) is V31() ext-real V141() set
R2n is Relation-like NAT -defined R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len (R1,R1,K), width (R1,R1,K),R1
Indices R2n is set
dom R2n is V33() Element of bool NAT
width R2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width R2n) is V15() V33() width R2n -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R2n ) } is set
[:(dom R2n),(Seg (width R2n)):] is Relation-like V33() set
Indices (Segm ((R1,R2,R1),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))))) is set
dom (Segm ((R1,R2,R1),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))))) is V33() Element of bool NAT
width (Segm ((R1,R2,R1),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width (Segm ((R1,R2,R1),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1)))))))) is V15() V33() width (Segm ((R1,R2,R1),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (Segm ((R1,R2,R1),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))))) ) } is set
[:(dom (Segm ((R1,R2,R1),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1)))))))),(Seg (width (Segm ((R1,R2,R1),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))))))):] is Relation-like V33() set
Seg ((R1,R1) . K) is V15() V33() (R1,R1) . K -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (R1,R1) . K ) } is set
bA is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
bAbB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
[bA,bAbB] is set
{bA,bAbB} is non empty V33() V37() set
{bA} is non empty trivial V33() V37() 1 -element set
{{bA,bAbB},{bA}} is non empty V33() V37() set
Seg ((R1,R1) . K) is V15() V33() (R1,R1) . K -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (R1,R1) . K ) } is set
(Sgm ((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1)))))) . bAbB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
bAbB + (Sum ((R1,R1) | (K -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sgm ((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1)))))) . bA is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
bA + (Sum ((R1,R1) | (K -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Segm ((R1,R2,R1),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))),((Seg (Sum ((R1,R1) | K))) \ (Seg (Sum ((R1,R1) | (K -' 1))))))) * (bA,bAbB) is Element of R1
(R1,R2,R1) * ((bA + (Sum ((R1,R1) | (K -' 1)))),(bAbB + (Sum ((R1,R1) | (K -' 1))))) is Element of R1
(R1,R1,K) * (bA,bAbB) is Element of R1
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Element of K
R2 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,R2) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len R2) is V15() V33() len R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R2 ) } is set
width R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width R2) is V15() V33() width R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R2 ) } is set
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,(K,R2),R1) is Relation-like NAT -defined (K *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,(K,(K,R2),R1)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,(K,R2),R1)), Sum (K,(K,(K,R2),R1)),K
(K,(K,(K,R2),R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,R2),R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,R2),R1)) -tuples_on NAT
len (K,(K,R2),R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,(K,R2),R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,(K,R2),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,(K,R2),R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,R2),R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,R2),R1)) -tuples_on NAT
Sum (K,(K,(K,R2),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Segm ((K,R1,(K,(K,R2),R1)),(Seg (len R2)),(Seg (width R2))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card (Seg (len R2)), card (Seg (width R2)),K
card (Seg (len R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
card (Seg (width R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sgm (Seg (len R2)) is Relation-like NAT -defined NAT -valued Function-like V33() card (Seg (len R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card (Seg (len R2))) -tuples_on NAT
(card (Seg (len R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sgm (Seg (width R2)) is Relation-like NAT -defined NAT -valued Function-like V33() card (Seg (width R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card (Seg (width R2))) -tuples_on NAT
(card (Seg (width R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Segm ((K,R1,(K,(K,R2),R1)),(Sgm (Seg (len R2))),(Sgm (Seg (width R2)))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card (Seg (len R2)), card (Seg (width R2)),K
(K,(K,(K,R2),R1)) | {} is Relation-like non-empty empty-yielding NAT -defined NAT -valued RAT -valued Function-like functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() FinSequence of NAT
Seg {} is Relation-like non-empty empty-yielding RAT -valued functional empty V15() V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element {} -element FinSequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= {} ) } is set
(K,(K,(K,R2),R1)) | (Seg {}) is Relation-like non-empty empty-yielding Seg {} -defined NAT -defined NAT -valued RAT -valued functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() set
Sum ((K,(K,(K,R2),R1)) | {}) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum ((K,(K,(K,R2),R1)) | {})) is V15() V33() Sum ((K,(K,(K,R2),R1)) | {}) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum ((K,(K,(K,R2),R1)) | {}) ) } is set
(K,(K,(K,R2),R1)) | {} is Relation-like non-empty empty-yielding NAT -defined NAT -valued RAT -valued Function-like functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() FinSequence of NAT
(K,(K,(K,R2),R1)) | (Seg {}) is Relation-like non-empty empty-yielding Seg {} -defined NAT -defined NAT -valued RAT -valued functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() set
Sum ((K,(K,(K,R2),R1)) | {}) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum ((K,(K,(K,R2),R1)) | {})) is V15() V33() Sum ((K,(K,(K,R2),R1)) | {}) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum ((K,(K,(K,R2),R1)) | {}) ) } is set
(K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2)) -tuples_on NAT
len (K,R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
<*(len R2)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
1 -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
[1,(len R2)] is set
{1,(len R2)} is non empty V33() V37() set
{{1,(len R2)},{1}} is non empty V33() V37() set
{[1,(len R2)]} is Relation-like non empty trivial V33() 1 -element set
len <*(len R2)*> is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(K,(K,R2)) ^ (K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() (len (K,R2)) + (len R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len (K,R2)) + (len R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(K,(K,(K,R2),R1)) | 1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,(K,(K,R2),R1)) | (Seg 1) is Relation-like Seg 1 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((K,(K,(K,R2),R1)) | 1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*(width R2)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
[1,(width R2)] is set
{1,(width R2)} is non empty V33() V37() set
{{1,(width R2)},{1}} is non empty V33() V37() set
{[1,(width R2)]} is Relation-like non empty trivial V33() 1 -element set
len <*(width R2)*> is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2)) -tuples_on NAT
(K,(K,(K,R2),R1),1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
dom (K,R2) is non empty trivial V33() 1 -element Element of bool NAT
dom (K,(K,R2),R1) is non empty V33() Element of bool NAT
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
(K,(K,R2)) ^ (K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() (len (K,R2)) + (len R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,(K,(K,R2),R1)) | 1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,(K,(K,R2),R1)) | (Seg 1) is Relation-like Seg 1 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
1 -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum ((K,(K,(K,R2),R1)) | 1)) is V15() V33() Sum ((K,(K,(K,R2),R1)) | 1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum ((K,(K,(K,R2),R1)) | 1) ) } is set
(Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {} is V15() V33() Element of bool NAT
Sum ((K,(K,(K,R2),R1)) | 1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum ((K,(K,(K,R2),R1)) | 1)) is V15() V33() Sum ((K,(K,(K,R2),R1)) | 1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum ((K,(K,(K,R2),R1)) | 1) ) } is set
(Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {} is V15() V33() Element of bool NAT
Segm ((K,R1,(K,(K,R2),R1)),((Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {}),((Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {})) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card ((Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {}), card ((Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {}),K
card ((Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {}) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
card ((Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {}) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sgm ((Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {}) is Relation-like NAT -defined NAT -valued Function-like V33() card ((Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {}) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card ((Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {})) -tuples_on NAT
(card ((Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {})) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sgm ((Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {}) is Relation-like NAT -defined NAT -valued Function-like V33() card ((Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {}) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card ((Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {})) -tuples_on NAT
(card ((Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {})) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Segm ((K,R1,(K,(K,R2),R1)),(Sgm ((Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {})),(Sgm ((Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {}))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card ((Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {}), card ((Seg (Sum ((K,(K,(K,R2),R1)) | 1))) \ {}),K
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Element of K
R2 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,R2) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,(K,R2)) is Relation-like NAT -defined (K *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,(K,R1,(K,R2))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,R1,(K,R2))), Sum (K,(K,R1,(K,R2))),K
(K,(K,R1,(K,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,(K,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,(K,R2))) -tuples_on NAT
len (K,R1,(K,R2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R1,(K,R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,R1,(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,(K,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,(K,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,(K,R2))) -tuples_on NAT
Sum (K,(K,R1,(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) + (Sum (K,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg ((len R2) + (Sum (K,R1))) is V15() V33() (len R2) + (Sum (K,R1)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (len R2) + (Sum (K,R1)) ) } is set
Seg (Sum (K,R1)) is V15() V33() Sum (K,R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (K,R1) ) } is set
(Seg ((len R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1))) is V15() V33() Element of bool NAT
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
Sum (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width R2) + (Sum (K,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg ((width R2) + (Sum (K,R1))) is V15() V33() (width R2) + (Sum (K,R1)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (width R2) + (Sum (K,R1)) ) } is set
Seg (Sum (K,R1)) is V15() V33() Sum (K,R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (K,R1) ) } is set
(Seg ((width R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1))) is V15() V33() Element of bool NAT
Segm ((K,R1,(K,R1,(K,R2))),((Seg ((len R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1)))),((Seg ((width R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1))))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card ((Seg ((len R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1)))), card ((Seg ((width R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1)))),K
card ((Seg ((len R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
card ((Seg ((width R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sgm ((Seg ((len R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1)))) is Relation-like NAT -defined NAT -valued Function-like V33() card ((Seg ((len R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card ((Seg ((len R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1))))) -tuples_on NAT
(card ((Seg ((len R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sgm ((Seg ((width R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1)))) is Relation-like NAT -defined NAT -valued Function-like V33() card ((Seg ((width R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card ((Seg ((width R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1))))) -tuples_on NAT
(card ((Seg ((width R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Segm ((K,R1,(K,R1,(K,R2))),(Sgm ((Seg ((len R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1))))),(Sgm ((Seg ((width R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1)))))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card ((Seg ((len R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1)))), card ((Seg ((width R2) + (Sum (K,R1)))) \ (Seg (Sum (K,R1)))),K
1 + (len R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
len (K,(K,R1,(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,(K,R2))) | (1 + (len R1)) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (1 + (len R1)) is non empty V15() V33() 1 + (len R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= 1 + (len R1) ) } is set
(K,(K,R1,(K,R2))) | (Seg (1 + (len R1))) is Relation-like Seg (1 + (len R1)) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
len (K,(K,R1,(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,(K,R2))) | (1 + (len R1)) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,(K,R1,(K,R2))) | (Seg (1 + (len R1))) is Relation-like Seg (1 + (len R1)) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
(len R1) + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
Seg ((len R1) + 1) is non empty V15() V33() (len R1) + 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (len R1) + 1 ) } is set
dom (K,R1,(K,R2)) is non empty V33() Element of bool NAT
(K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2)) -tuples_on NAT
len (K,R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(K,R1) ^ (K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() (len R1) + (len (K,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len R1) + (len (K,R2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
len (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,(K,R2))) | (len R1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg (len R1) is V15() V33() len R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R1 ) } is set
(K,(K,R1,(K,R2))) | (Seg (len R1)) is Relation-like Seg (len R1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
<*(width R2)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
1 -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
[1,(width R2)] is set
{1,(width R2)} is non empty V33() V37() set
{{1,(width R2)},{1}} is non empty V33() V37() set
{[1,(width R2)]} is Relation-like non empty trivial V33() 1 -element set
(Sum (K,R1)) + (width R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2)) -tuples_on NAT
(K,R1) ^ (K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() (len R1) + (len (K,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
len (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,(K,R2))) | (len R1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,(K,R1,(K,R2))) | (Seg (len R1)) is Relation-like Seg (len R1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
<*(len R2)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
[1,(len R2)] is set
{1,(len R2)} is non empty V33() V37() set
{{1,(len R2)},{1}} is non empty V33() V37() set
{[1,(len R2)]} is Relation-like non empty trivial V33() 1 -element set
(Sum (K,R1)) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,(K,R2)),(1 + (len R1))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(1 + (len R1)) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(1 + (len R1)) - 1 is V31() ext-real V141() set
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
R1 is Element of K
R2 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,R2) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
(K,R1,(K,R2)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,R2)), Sum (K,(K,R2)),K
(K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2)) -tuples_on NAT
len (K,R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2)) -tuples_on NAT
Sum (K,(K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*> ((K *) *) is Relation-like non-empty empty-yielding NAT -defined RAT -valued (K *) * -valued Function-like functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() FinSequence of (K *) *
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,(K,R2),R1) is Relation-like NAT -defined (K *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
len (K,R1,(K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (K,R1,(K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len R2) is V15() V33() len R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R2 ) } is set
Seg (width R2) is V15() V33() width R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R2 ) } is set
Segm ((K,R1,(K,R2)),(Seg (len R2)),(Seg (width R2))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card (Seg (len R2)), card (Seg (width R2)),K
card (Seg (len R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
card (Seg (width R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sgm (Seg (len R2)) is Relation-like NAT -defined NAT -valued Function-like V33() card (Seg (len R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card (Seg (len R2))) -tuples_on NAT
(card (Seg (len R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sgm (Seg (width R2)) is Relation-like NAT -defined NAT -valued Function-like V33() card (Seg (width R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card (Seg (width R2))) -tuples_on NAT
(card (Seg (width R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Segm ((K,R1,(K,R2)),(Sgm (Seg (len R2))),(Sgm (Seg (width R2)))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card (Seg (len R2)), card (Seg (width R2)),K
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Element of K
R2 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,R2), Sum (K,R2),K
(K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
Sum (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,R2)) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
[1,(K,R1,R2)] is set
{1,(K,R1,R2)} is non empty V33() V37() set
{{1,(K,R1,R2)},{1}} is non empty V33() V37() set
{[1,(K,R1,R2)]} is Relation-like non empty trivial V33() 1 -element set
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R2,R1) is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,(K,R2,R1)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,R2,R1)), Sum (K,(K,R2,R1)),K
(K,(K,R2,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2,R1)) -tuples_on NAT
len (K,R2,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R2,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R2,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2,R1)) -tuples_on NAT
Sum (K,(K,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,(K,R1,R2)),R1) is Relation-like NAT -defined (K *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,(K,(K,(K,R1,R2)),R1)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,(K,(K,R1,R2)),R1)), Sum (K,(K,(K,(K,R1,R2)),R1)),K
(K,(K,(K,(K,R1,R2)),R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,(K,R1,R2)),R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,(K,R1,R2)),R1)) -tuples_on NAT
len (K,(K,(K,R1,R2)),R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,(K,(K,R1,R2)),R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,(K,(K,R1,R2)),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,(K,(K,R1,R2)),R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,(K,R1,R2)),R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,(K,R1,R2)),R1)) -tuples_on NAT
Sum (K,(K,(K,(K,R1,R2)),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1,R1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,R1), Sum (K,R1),K
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
Sum (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) ^ (K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() (len R2) + (len R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len R2) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,R1,(K,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (K,R2)) + (Sum (K,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,(K,R1,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,R1,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,R1,R2))) -tuples_on NAT
len (K,(K,R1,R2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,(K,R1,R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*(len (K,R1,R2))*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
1 -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
[1,(len (K,R1,R2))] is set
{1,(len (K,R1,R2))} is non empty V33() V37() set
{{1,(len (K,R1,R2))},{1}} is non empty V33() V37() set
{[1,(len (K,R1,R2))]} is Relation-like non empty trivial V33() 1 -element set
Sum (K,(K,(K,R1,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1,(K,(K,R1,R2))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,(K,R1,R2))), Sum (K,(K,(K,R1,R2))),K
(K,(K,(K,R1,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,R1,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,R1,R2))) -tuples_on NAT
Sum (K,(K,(K,R1,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,(K,R1,R2))) ^ (K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() (len (K,(K,R1,R2))) + (len R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len (K,(K,R1,R2))) + (len R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(K,R2) ^ (K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() (len R2) + (len R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
len (K,R1,(K,(K,(K,R1,R2)),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R1,R2)) + (Sum (K,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*(width (K,R1,R2))*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
[1,(width (K,R1,R2))] is set
{1,(width (K,R1,R2))} is non empty V33() V37() set
{{1,(width (K,R1,R2))},{1}} is non empty V33() V37() set
{[1,(width (K,R1,R2))]} is Relation-like non empty trivial V33() 1 -element set
width (K,R1,(K,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (K,R2)) + (Sum (K,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,(K,R1,R2))) ^ (K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() (len (K,(K,R1,R2))) + (len R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
width (K,R1,(K,(K,(K,R1,R2)),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width (K,R1,R2)) + (Sum (K,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Indices (K,R1,(K,R2,R1)) is set
dom (K,R1,(K,R2,R1)) is V33() Element of bool NAT
Seg (width (K,R1,(K,R2,R1))) is V15() V33() width (K,R1,(K,R2,R1)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (K,R1,(K,R2,R1)) ) } is set
[:(dom (K,R1,(K,R2,R1))),(Seg (width (K,R1,(K,R2,R1)))):] is Relation-like V33() set
Seg (len (K,R1,(K,R2,R1))) is V15() V33() len (K,R1,(K,R2,R1)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (K,R1,(K,R2,R1)) ) } is set
[:(Seg (len (K,R1,(K,R2,R1)))),(Seg (width (K,R1,(K,R2,R1)))):] is Relation-like V33() set
Indices (K,R1,(K,(K,(K,R1,R2)),R1)) is set
dom (K,R1,(K,(K,(K,R1,R2)),R1)) is V33() Element of bool NAT
Seg (width (K,R1,(K,(K,(K,R1,R2)),R1))) is V15() V33() width (K,R1,(K,(K,(K,R1,R2)),R1)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (K,R1,(K,(K,(K,R1,R2)),R1)) ) } is set
[:(dom (K,R1,(K,(K,(K,R1,R2)),R1))),(Seg (width (K,R1,(K,(K,(K,R1,R2)),R1)))):] is Relation-like V33() set
i is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
j is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
[i,j] is set
{i,j} is non empty V33() V37() set
{i} is non empty trivial V33() V37() 1 -element set
{{i,j},{i}} is non empty V33() V37() set
dom (K,R1,R2) is V33() Element of bool NAT
Seg (width (K,R1,R2)) is V15() V33() width (K,R1,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (K,R1,R2) ) } is set
Indices (K,R1,R2) is set
[:(dom (K,R1,R2)),(Seg (width (K,R1,R2))):] is Relation-like V33() set
(K,R1,(K,R2,R1)) * (i,j) is Element of K
(K,R1,R2) * (i,j) is Element of K
(K,R1,(K,(K,(K,R1,R2)),R1)) * (i,j) is Element of K
(K,R1,(K,R2,R1)) * (i,j) is Element of K
(K,R1,(K,(K,(K,R1,R2)),R1)) * (i,j) is Element of K
i - (Sum (K,R2)) is V31() ext-real V141() set
j - (Sum (K,R2)) is V31() ext-real V141() set
J is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
I is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
I + (Sum (K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
J + (Sum (K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
[I,J] is set
{I,J} is non empty V33() V37() set
{I} is non empty trivial V33() V37() 1 -element set
{{I,J},{I}} is non empty V33() V37() set
Indices (K,R1,R1) is set
dom (K,R1,R1) is V33() Element of bool NAT
width (K,R1,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width (K,R1,R1)) is V15() V33() width (K,R1,R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (K,R1,R1) ) } is set
[:(dom (K,R1,R1)),(Seg (width (K,R1,R1))):] is Relation-like V33() set
(K,R1,(K,R2,R1)) * (i,j) is Element of K
(K,R1,R1) * (I,J) is Element of K
(K,R1,(K,(K,(K,R1,R2)),R1)) * (i,j) is Element of K
(K,R1,(K,R2,R1)) * (i,j) is Element of K
(K,R1,(K,(K,(K,R1,R2)),R1)) * (i,j) is Element of K
(K,R1,(K,R2,R1)) * (i,j) is Element of K
(K,R1,(K,(K,(K,R1,R2)),R1)) * (i,j) is Element of K
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Element of K
R2 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R2,R1) is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,(K,R2,R1)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,R2,R1)), Sum (K,(K,R2,R1)),K
(K,(K,R2,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2,R1)) -tuples_on NAT
len (K,R2,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R2,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R2,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2,R1)) -tuples_on NAT
Sum (K,(K,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1,R1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,R1), Sum (K,R1),K
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
Sum (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,R1)) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
[1,(K,R1,R1)] is set
{1,(K,R1,R1)} is non empty V33() V37() set
{{1,(K,R1,R1)},{1}} is non empty V33() V37() set
{[1,(K,R1,R1)]} is Relation-like non empty trivial V33() 1 -element set
(K,R2,(K,(K,R1,R1))) is Relation-like NAT -defined (K *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,(K,R2,(K,(K,R1,R1)))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,R2,(K,(K,R1,R1)))), Sum (K,(K,R2,(K,(K,R1,R1)))),K
(K,(K,R2,(K,(K,R1,R1)))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2,(K,(K,R1,R1))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2,(K,(K,R1,R1)))) -tuples_on NAT
len (K,R2,(K,(K,R1,R1))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R2,(K,(K,R1,R1)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,R2,(K,(K,R1,R1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R2,(K,(K,R1,R1)))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2,(K,(K,R1,R1))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2,(K,(K,R1,R1)))) -tuples_on NAT
Sum (K,(K,R2,(K,(K,R1,R1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1,R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,R2), Sum (K,R2),K
(K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
Sum (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) ^ (K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() (len R2) + (len R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len R2) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,R1,(K,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (K,R2)) + (Sum (K,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,(K,R1,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,R1,R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,R1,R1))) -tuples_on NAT
len (K,(K,R1,R1)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,(K,R1,R1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,(K,R1,R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (K,R1,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,(K,R1,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,R1,R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,R1,R1))) -tuples_on NAT
(K,R2) ^ (K,(K,(K,R1,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() (len R2) + (len (K,(K,R1,R1))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len R2) + (len (K,(K,R1,R1))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
len (K,R1,(K,R2,(K,(K,R1,R1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum (K,(K,(K,R1,R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (K,(K,(K,R1,R1)))) + (Sum (K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) ^ (K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() (len R2) + (len R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,R2) ^ (K,(K,(K,R1,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() (len R2) + (len (K,(K,R1,R1))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
width (K,R1,(K,R2,(K,(K,R1,R1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (K,(K,(K,R1,R1)))) + (Sum (K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,R1,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (K,R1,(K,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (K,R2)) + (Sum (K,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1,(K,(K,R1,R1))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,(K,R1,R1))), Sum (K,(K,(K,R1,R1))),K
Indices (K,R1,(K,R2,R1)) is set
dom (K,R1,(K,R2,R1)) is V33() Element of bool NAT
Seg (width (K,R1,(K,R2,R1))) is V15() V33() width (K,R1,(K,R2,R1)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (K,R1,(K,R2,R1)) ) } is set
[:(dom (K,R1,(K,R2,R1))),(Seg (width (K,R1,(K,R2,R1)))):] is Relation-like V33() set
Seg (len (K,R1,(K,R2,R1))) is V15() V33() len (K,R1,(K,R2,R1)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (K,R1,(K,R2,R1)) ) } is set
[:(Seg (len (K,R1,(K,R2,R1)))),(Seg (width (K,R1,(K,R2,R1)))):] is Relation-like V33() set
Indices (K,R1,(K,R2,(K,(K,R1,R1)))) is set
dom (K,R1,(K,R2,(K,(K,R1,R1)))) is V33() Element of bool NAT
Seg (width (K,R1,(K,R2,(K,(K,R1,R1))))) is V15() V33() width (K,R1,(K,R2,(K,(K,R1,R1)))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (K,R1,(K,R2,(K,(K,R1,R1)))) ) } is set
[:(dom (K,R1,(K,R2,(K,(K,R1,R1))))),(Seg (width (K,R1,(K,R2,(K,(K,R1,R1)))))):] is Relation-like V33() set
i is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
j is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
[i,j] is set
{i,j} is non empty V33() V37() set
{i} is non empty trivial V33() V37() 1 -element set
{{i,j},{i}} is non empty V33() V37() set
dom (K,R1,R2) is V33() Element of bool NAT
Seg (width (K,R1,R2)) is V15() V33() width (K,R1,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (K,R1,R2) ) } is set
Indices (K,R1,R2) is set
[:(dom (K,R1,R2)),(Seg (width (K,R1,R2))):] is Relation-like V33() set
(K,R1,(K,R2,R1)) * (i,j) is Element of K
(K,R1,R2) * (i,j) is Element of K
(K,R1,(K,R2,(K,(K,R1,R1)))) * (i,j) is Element of K
(K,R1,(K,R2,R1)) * (i,j) is Element of K
(K,R1,(K,R2,(K,(K,R1,R1)))) * (i,j) is Element of K
i - (Sum (K,R2)) is V31() ext-real V141() set
j - (Sum (K,R2)) is V31() ext-real V141() set
J is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
I is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
I + (Sum (K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
J + (Sum (K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
[I,J] is set
{I,J} is non empty V33() V37() set
{I} is non empty trivial V33() V37() 1 -element set
{{I,J},{I}} is non empty V33() V37() set
Indices (K,R1,R1) is set
dom (K,R1,R1) is V33() Element of bool NAT
Seg (width (K,R1,R1)) is V15() V33() width (K,R1,R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (K,R1,R1) ) } is set
[:(dom (K,R1,R1)),(Seg (width (K,R1,R1))):] is Relation-like V33() set
(K,R1,(K,R2,R1)) * (i,j) is Element of K
(K,R1,R1) * (I,J) is Element of K
(K,R1,(K,R2,(K,(K,R1,R1)))) * (i,j) is Element of K
(K,R1,(K,R2,R1)) * (i,j) is Element of K
(K,R1,(K,R2,(K,(K,R1,R1)))) * (i,j) is Element of K
(K,R1,(K,R2,R1)) * (i,j) is Element of K
(K,R1,(K,R2,(K,(K,R1,R1)))) * (i,j) is Element of K
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is non empty set
R2 * is functional non empty FinSequence-membered FinSequenceSet of R2
(R2 *) * is functional non empty FinSequence-membered FinSequenceSet of R2 *
R1 is Element of R2
R2 is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum (R2,R2)) is V15() V33() Sum (R2,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (R2,R2) ) } is set
((R2,R2),K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R1,R2) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,R2), Sum (R2,R2),R2
(R2,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
Sum (R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line ((R2,R1,R2),K) is Relation-like NAT -defined R2 -valued Function-like V33() width (R2,R1,R2) -element FinSequence-like FinSubsequence-like Element of (width (R2,R1,R2)) -tuples_on R2
width (R2,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width (R2,R1,R2)) -tuples_on R2 is functional non empty FinSequence-membered FinSequenceSet of R2
(R2,(R1 -' 1),R2) is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
Seg (R1 -' 1) is V15() V33() R1 -' 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R1 -' 1 ) } is set
R2 | (Seg (R1 -' 1)) is Relation-like Seg (R1 -' 1) -defined NAT -defined (R2 *) * -valued V33() FinSubsequence-like set
(R2,(R2,(R1 -' 1),R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,(R1 -' 1),R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,(R1 -' 1),R2)) -tuples_on NAT
len (R2,(R1 -' 1),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (R2,(R1 -' 1),R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,(R2,(R1 -' 1),R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (R2,(R2,(R1 -' 1),R2))) |-> R1 is Relation-like NAT -defined R2 -valued Function-like V33() Sum (R2,(R2,(R1 -' 1),R2)) -element FinSequence-like FinSubsequence-like Element of (Sum (R2,(R2,(R1 -' 1),R2))) -tuples_on R2
(Sum (R2,(R2,(R1 -' 1),R2))) -tuples_on R2 is functional non empty FinSequence-membered FinSequenceSet of R2
(R2,R2,R1) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of R2 *
(R2,(R2,(R1 -' 1),R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,(R1 -' 1),R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,(R1 -' 1),R2)) -tuples_on NAT
Sum (R2,(R2,(R1 -' 1),R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K -' (Sum (R2,(R2,(R1 -' 1),R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line ((R2,R2,R1),(K -' (Sum (R2,(R2,(R1 -' 1),R2))))) is Relation-like NAT -defined R2 -valued Function-like V33() width (R2,R2,R1) -element FinSequence-like FinSubsequence-like Element of (width (R2,R2,R1)) -tuples_on R2
width (R2,R2,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width (R2,R2,R1)) -tuples_on R2 is functional non empty FinSequence-membered FinSequenceSet of R2
((Sum (R2,(R2,(R1 -' 1),R2))) |-> R1) ^ (Line ((R2,R2,R1),(K -' (Sum (R2,(R2,(R1 -' 1),R2)))))) is Relation-like NAT -defined R2 -valued Function-like V33() (Sum (R2,(R2,(R1 -' 1),R2))) + (width (R2,R2,R1)) -element FinSequence-like FinSubsequence-like FinSequence of R2
(Sum (R2,(R2,(R1 -' 1),R2))) + (width (R2,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R1,R2) is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
Seg R1 is V15() V33() R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R1 ) } is set
R2 | (Seg R1) is Relation-like Seg R1 -defined NAT -defined (R2 *) * -valued V33() FinSubsequence-like set
(R2,(R2,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,R1,R2)) -tuples_on NAT
len (R2,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (R2,R1,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,(R2,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (R2,R2)) -' (Sum (R2,(R2,R1,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((Sum (R2,R2)) -' (Sum (R2,(R2,R1,R2)))) |-> R1 is Relation-like NAT -defined R2 -valued Function-like V33() (Sum (R2,R2)) -' (Sum (R2,(R2,R1,R2))) -element FinSequence-like FinSubsequence-like Element of ((Sum (R2,R2)) -' (Sum (R2,(R2,R1,R2)))) -tuples_on R2
((Sum (R2,R2)) -' (Sum (R2,(R2,R1,R2)))) -tuples_on R2 is functional non empty FinSequence-membered FinSequenceSet of R2
(((Sum (R2,(R2,(R1 -' 1),R2))) |-> R1) ^ (Line ((R2,R2,R1),(K -' (Sum (R2,(R2,(R1 -' 1),R2))))))) ^ (((Sum (R2,R2)) -' (Sum (R2,(R2,R1,R2)))) |-> R1) is Relation-like NAT -defined R2 -valued Function-like V33() ((Sum (R2,(R2,(R1 -' 1),R2))) + (width (R2,R2,R1))) + ((Sum (R2,R2)) -' (Sum (R2,(R2,R1,R2)))) -element FinSequence-like FinSubsequence-like FinSequence of R2
((Sum (R2,(R2,(R1 -' 1),R2))) + (width (R2,R2,R1))) + ((Sum (R2,R2)) -' (Sum (R2,(R2,R1,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R2) | R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(R2,R2) | (Seg R1) is Relation-like Seg R1 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
((R2,R2) | R1) . R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(R2,R2) . R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(R2,R1,R2) is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,R1,(R2,R1,R2)) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,(R2,R1,R2)), Sum (R2,(R2,R1,R2)),R2
(R2,(R2,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,R1,R2)) -tuples_on NAT
len (R2,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (R2,R1,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,(R2,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,R1,R2)) -tuples_on NAT
Sum (R2,(R2,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R1,(R2,R1,R2)) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,(R2,R1,R2)), Sum (R2,(R2,R1,R2)),R2
(R2,(R2,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,R1,R2)) -tuples_on NAT
Sum (R2,(R2,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R2,R1,(R2,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum ((R2,R2) | R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,R1,R2),(R2,R1,R2)) is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,(R2,R1,(R2,R1,R2))) is Relation-like NAT -defined (R2 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
[1,(R2,R1,(R2,R1,R2))] is set
{1,(R2,R1,(R2,R1,R2))} is non empty V33() V37() set
{{1,(R2,R1,(R2,R1,R2))},{1}} is non empty V33() V37() set
{[1,(R2,R1,(R2,R1,R2))]} is Relation-like non empty trivial V33() 1 -element set
(R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2)))) is Relation-like NAT -defined (R2 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,R1,(R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,(R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))), Sum (R2,(R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))),R2
(R2,(R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))) -tuples_on NAT
len (R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2)))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,(R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))) -tuples_on NAT
Sum (R2,(R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2))) is Relation-like NAT -defined (R2 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
<*(R2,R1,(R2,R1,R2))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(R2,R1,(R2,R1,R2))] is set
{1,(R2,R1,(R2,R1,R2))} is non empty V33() V37() set
{{1,(R2,R1,(R2,R1,R2))},{1}} is non empty V33() V37() set
{[1,(R2,R1,(R2,R1,R2))]} is Relation-like non empty trivial V33() 1 -element set
<*(R2,R1,(R2,R1,R2))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*(R2,R1,(R2,R1,R2))*> ^ <*(R2,R1,(R2,R1,R2))*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
(R2,R1,(R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,(R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))), Sum (R2,(R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))),R2
(R2,(R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))) -tuples_on NAT
len (R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,(R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))) -tuples_on NAT
Sum (R2,(R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (R2,R1,(R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (R2,R1,(R2,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (R2,R1,(R2,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width (R2,R1,(R2,R1,R2))) + (width (R2,R1,(R2,R1,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (R2,(R2,R1,R2))) + (width (R2,R1,(R2,R1,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((Sum (R2,(R2,R1,R2))) + (width (R2,R1,(R2,R1,R2)))) - (Sum (R2,(R2,R1,R2))) is V31() ext-real V141() set
(R2,R2) | (R1 -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(R2,R2) | (Seg (R1 -' 1)) is Relation-like Seg (R1 -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((R2,R2) | (R1 -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K - (Sum ((R2,R2) | (R1 -' 1))) is V31() ext-real V141() set
K -' (Sum ((R2,R2) | (R1 -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (R2,R2) is V33() len R2 -element Element of bool NAT
R1 - 1 is V31() ext-real V141() set
(R1 -' 1) + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(R2,(R1 -' 1),(R2,R1,R2)) is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,R1,R2) | (Seg (R1 -' 1)) is Relation-like Seg (R1 -' 1) -defined NAT -defined (R2 *) * -valued V33() FinSubsequence-like set
len (R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ((R2,R2) | R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((R2,R2) | R1) | (R1 -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
((R2,R2) | R1) | (Seg (R1 -' 1)) is Relation-like Seg (R1 -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
<*(((R2,R2) | R1) . R1)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(((R2,R2) | R1) . R1)] is set
{1,(((R2,R2) | R1) . R1)} is non empty V33() V37() set
{{1,(((R2,R2) | R1) . R1)},{1}} is non empty V33() V37() set
{[1,(((R2,R2) | R1) . R1)]} is Relation-like non empty trivial V33() 1 -element set
(((R2,R2) | R1) | (R1 -' 1)) ^ <*(((R2,R2) | R1) . R1)*> is Relation-like NAT -defined Function-like non empty V33() FinSequence-like FinSubsequence-like set
(Sum ((R2,R2) | (R1 -' 1))) + ((R2,R2) . R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R2,R2,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum ((R2,R2) | (R1 -' 1))) + (len (R2,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K -' (Sum ((R2,R2) | (R1 -' 1)))) + (Sum ((R2,R2) | (R1 -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (R2,R2,R1)) + (Sum ((R2,R2) | (R1 -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (R2,R2,R1) is V33() Element of bool NAT
(R2,R1,(R2,(R1 -' 1),R2)) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,(R2,(R1 -' 1),R2)), Sum (R2,(R2,(R1 -' 1),R2)),R2
(R2,(R2,R1,R2),R1) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of R2 *
width (R2,R1,(R2,(R1 -' 1),R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R2) | (R1 -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(R2,R2) | (Seg (R1 -' 1)) is Relation-like Seg (R1 -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((R2,R2) | (R1 -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (R2,R1,(R2,R1,R2)) is V33() Element of bool NAT
Line ((R2,R1,(R2,R1,R2)),K) is Relation-like NAT -defined R2 -valued Function-like V33() width (R2,R1,(R2,R1,R2)) -element FinSequence-like FinSubsequence-like Element of (width (R2,R1,(R2,R1,R2))) -tuples_on R2
(width (R2,R1,(R2,R1,R2))) -tuples_on R2 is functional non empty FinSequence-membered FinSequenceSet of R2
(width (R2,R1,(R2,R1,R2))) |-> R1 is Relation-like NAT -defined R2 -valued Function-like V33() width (R2,R1,(R2,R1,R2)) -element FinSequence-like FinSubsequence-like Element of (width (R2,R1,(R2,R1,R2))) -tuples_on R2
(width (R2,R1,(R2,R1,R2))) -tuples_on R2 is functional non empty FinSequence-membered FinSequenceSet of R2
(Line ((R2,R1,(R2,R1,R2)),K)) ^ ((width (R2,R1,(R2,R1,R2))) |-> R1) is Relation-like NAT -defined R2 -valued Function-like V33() (width (R2,R1,(R2,R1,R2))) + (width (R2,R1,(R2,R1,R2))) -element FinSequence-like FinSubsequence-like FinSequence of R2
(width (R2,R1,(R2,R1,R2))) + (width (R2,R1,(R2,R1,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R2 is V33() Element of bool NAT
(R2,(R2,(R2,R1,R2),R1)) is Relation-like NAT -defined (R2 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
[1,(R2,(R2,R1,R2),R1)] is set
{1,(R2,(R2,R1,R2),R1)} is non empty V33() V37() set
{{1,(R2,(R2,R1,R2),R1)},{1}} is non empty V33() V37() set
{[1,(R2,(R2,R1,R2),R1)]} is Relation-like non empty trivial V33() 1 -element set
(R2,(R2,(R1 -' 1),(R2,R1,R2)),(R2,(R2,(R2,R1,R2),R1))) is Relation-like NAT -defined (R2 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1)) is Relation-like NAT -defined (R2 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
<*(R2,R1,(R2,(R1 -' 1),R2))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(R2,R1,(R2,(R1 -' 1),R2))] is set
{1,(R2,R1,(R2,(R1 -' 1),R2))} is non empty V33() V37() set
{{1,(R2,R1,(R2,(R1 -' 1),R2))},{1}} is non empty V33() V37() set
{[1,(R2,R1,(R2,(R1 -' 1),R2))]} is Relation-like non empty trivial V33() 1 -element set
<*(R2,R2,R1)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(R2,R2,R1)] is set
{1,(R2,R2,R1)} is non empty V33() V37() set
{{1,(R2,R2,R1)},{1}} is non empty V33() V37() set
{[1,(R2,R2,R1)]} is Relation-like non empty trivial V33() 1 -element set
<*(R2,R1,(R2,(R1 -' 1),R2))*> ^ <*(R2,R2,R1)*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
(R2,R1,(R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,(R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))), Sum (R2,(R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))),R2
(R2,(R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))) -tuples_on NAT
len (R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,(R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))) -tuples_on NAT
Sum (R2,(R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R2,R1,(R2,(R1 -' 1),R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum ((R2,R2) | (R1 -' 1))) |-> R1 is Relation-like NAT -defined R2 -valued Function-like V33() Sum ((R2,R2) | (R1 -' 1)) -element FinSequence-like FinSubsequence-like Element of (Sum ((R2,R2) | (R1 -' 1))) -tuples_on R2
(Sum ((R2,R2) | (R1 -' 1))) -tuples_on R2 is functional non empty FinSequence-membered FinSequenceSet of R2
Line ((R2,R2,R1),(K -' (Sum ((R2,R2) | (R1 -' 1))))) is Relation-like NAT -defined R2 -valued Function-like V33() width (R2,R2,R1) -element FinSequence-like FinSubsequence-like Element of (width (R2,R2,R1)) -tuples_on R2
((Sum ((R2,R2) | (R1 -' 1))) |-> R1) ^ (Line ((R2,R2,R1),(K -' (Sum ((R2,R2) | (R1 -' 1)))))) is Relation-like NAT -defined R2 -valued Function-like V33() (Sum ((R2,R2) | (R1 -' 1))) + (width (R2,R2,R1)) -element FinSequence-like FinSubsequence-like FinSequence of R2
(Sum ((R2,R2) | (R1 -' 1))) + (width (R2,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum ((R2,R2) | (R1 -' 1))) + (K -' (Sum ((R2,R2) | (R1 -' 1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line ((R2,R1,(R2,R1,R2)),((Sum ((R2,R2) | (R1 -' 1))) + (K -' (Sum ((R2,R2) | (R1 -' 1)))))) is Relation-like NAT -defined R2 -valued Function-like V33() width (R2,R1,(R2,R1,R2)) -element FinSequence-like FinSubsequence-like Element of (width (R2,R1,(R2,R1,R2))) -tuples_on R2
((Sum (R2,(R2,(R1 -' 1),R2))) |-> R1) ^ (Line ((R2,R2,R1),(K -' (Sum ((R2,R2) | (R1 -' 1)))))) is Relation-like NAT -defined R2 -valued Function-like V33() (Sum (R2,(R2,(R1 -' 1),R2))) + (width (R2,R2,R1)) -element FinSequence-like FinSubsequence-like FinSequence of R2
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is non empty set
R2 * is functional non empty FinSequence-membered FinSequenceSet of R2
(R2 *) * is functional non empty FinSequence-membered FinSequenceSet of R2 *
R1 is Element of R2
R2 is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum (R2,R2)) is V15() V33() Sum (R2,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (R2,R2) ) } is set
((R2,R2),K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R1,R2) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,R2), Sum (R2,R2),R2
(R2,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
Sum (R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Col ((R2,R1,R2),K) is Relation-like NAT -defined R2 -valued Function-like V33() len (R2,R1,R2) -element FinSequence-like FinSubsequence-like Element of (len (R2,R1,R2)) -tuples_on R2
len (R2,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (R2,R1,R2)) -tuples_on R2 is functional non empty FinSequence-membered FinSequenceSet of R2
(R2,(R1 -' 1),R2) is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
Seg (R1 -' 1) is V15() V33() R1 -' 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R1 -' 1 ) } is set
R2 | (Seg (R1 -' 1)) is Relation-like Seg (R1 -' 1) -defined NAT -defined (R2 *) * -valued V33() FinSubsequence-like set
(R2,(R2,(R1 -' 1),R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,(R1 -' 1),R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,(R1 -' 1),R2)) -tuples_on NAT
len (R2,(R1 -' 1),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (R2,(R1 -' 1),R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,(R2,(R1 -' 1),R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (R2,(R2,(R1 -' 1),R2))) |-> R1 is Relation-like NAT -defined R2 -valued Function-like V33() Sum (R2,(R2,(R1 -' 1),R2)) -element FinSequence-like FinSubsequence-like Element of (Sum (R2,(R2,(R1 -' 1),R2))) -tuples_on R2
(Sum (R2,(R2,(R1 -' 1),R2))) -tuples_on R2 is functional non empty FinSequence-membered FinSequenceSet of R2
(R2,R2,R1) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of R2 *
(R2,(R2,(R1 -' 1),R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,(R1 -' 1),R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,(R1 -' 1),R2)) -tuples_on NAT
Sum (R2,(R2,(R1 -' 1),R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K -' (Sum (R2,(R2,(R1 -' 1),R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Col ((R2,R2,R1),(K -' (Sum (R2,(R2,(R1 -' 1),R2))))) is Relation-like NAT -defined R2 -valued Function-like V33() len (R2,R2,R1) -element FinSequence-like FinSubsequence-like Element of (len (R2,R2,R1)) -tuples_on R2
len (R2,R2,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (R2,R2,R1)) -tuples_on R2 is functional non empty FinSequence-membered FinSequenceSet of R2
((Sum (R2,(R2,(R1 -' 1),R2))) |-> R1) ^ (Col ((R2,R2,R1),(K -' (Sum (R2,(R2,(R1 -' 1),R2)))))) is Relation-like NAT -defined R2 -valued Function-like V33() (Sum (R2,(R2,(R1 -' 1),R2))) + (len (R2,R2,R1)) -element FinSequence-like FinSubsequence-like FinSequence of R2
(Sum (R2,(R2,(R1 -' 1),R2))) + (len (R2,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R1,R2) is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
Seg R1 is V15() V33() R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R1 ) } is set
R2 | (Seg R1) is Relation-like Seg R1 -defined NAT -defined (R2 *) * -valued V33() FinSubsequence-like set
(R2,(R2,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,R1,R2)) -tuples_on NAT
len (R2,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (R2,R1,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,(R2,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (R2,R2)) -' (Sum (R2,(R2,R1,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((Sum (R2,R2)) -' (Sum (R2,(R2,R1,R2)))) |-> R1 is Relation-like NAT -defined R2 -valued Function-like V33() (Sum (R2,R2)) -' (Sum (R2,(R2,R1,R2))) -element FinSequence-like FinSubsequence-like Element of ((Sum (R2,R2)) -' (Sum (R2,(R2,R1,R2)))) -tuples_on R2
((Sum (R2,R2)) -' (Sum (R2,(R2,R1,R2)))) -tuples_on R2 is functional non empty FinSequence-membered FinSequenceSet of R2
(((Sum (R2,(R2,(R1 -' 1),R2))) |-> R1) ^ (Col ((R2,R2,R1),(K -' (Sum (R2,(R2,(R1 -' 1),R2))))))) ^ (((Sum (R2,R2)) -' (Sum (R2,(R2,R1,R2)))) |-> R1) is Relation-like NAT -defined R2 -valued Function-like V33() ((Sum (R2,(R2,(R1 -' 1),R2))) + (len (R2,R2,R1))) + ((Sum (R2,R2)) -' (Sum (R2,(R2,R1,R2)))) -element FinSequence-like FinSubsequence-like FinSequence of R2
((Sum (R2,(R2,(R1 -' 1),R2))) + (len (R2,R2,R1))) + ((Sum (R2,R2)) -' (Sum (R2,(R2,R1,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R2) | R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(R2,R2) | (Seg R1) is Relation-like Seg R1 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
((R2,R2) | R1) . R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(R2,R2) . R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(R2,R1,R2) is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,R1,(R2,R1,R2)) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,(R2,R1,R2)), Sum (R2,(R2,R1,R2)),R2
(R2,(R2,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,R1,R2)) -tuples_on NAT
len (R2,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (R2,R1,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,(R2,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,R1,R2)) -tuples_on NAT
Sum (R2,(R2,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R1,(R2,R1,R2)) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,(R2,R1,R2)), Sum (R2,(R2,R1,R2)),R2
(R2,(R2,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,R1,R2)) -tuples_on NAT
Sum (R2,(R2,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (R2,R1,(R2,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum ((R2,R2) | R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,R1,R2),(R2,R1,R2)) is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,(R2,R1,(R2,R1,R2))) is Relation-like NAT -defined (R2 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
[1,(R2,R1,(R2,R1,R2))] is set
{1,(R2,R1,(R2,R1,R2))} is non empty V33() V37() set
{{1,(R2,R1,(R2,R1,R2))},{1}} is non empty V33() V37() set
{[1,(R2,R1,(R2,R1,R2))]} is Relation-like non empty trivial V33() 1 -element set
(R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2)))) is Relation-like NAT -defined (R2 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,R1,(R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,(R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))), Sum (R2,(R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))),R2
(R2,(R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))) -tuples_on NAT
len (R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2)))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,(R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))) -tuples_on NAT
Sum (R2,(R2,(R2,R1,R2),(R2,(R2,R1,(R2,R1,R2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2))) is Relation-like NAT -defined (R2 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
<*(R2,R1,(R2,R1,R2))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(R2,R1,(R2,R1,R2))] is set
{1,(R2,R1,(R2,R1,R2))} is non empty V33() V37() set
{{1,(R2,R1,(R2,R1,R2))},{1}} is non empty V33() V37() set
{[1,(R2,R1,(R2,R1,R2))]} is Relation-like non empty trivial V33() 1 -element set
<*(R2,R1,(R2,R1,R2))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*(R2,R1,(R2,R1,R2))*> ^ <*(R2,R1,(R2,R1,R2))*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
(R2,R1,(R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,(R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))), Sum (R2,(R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))),R2
(R2,(R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))) -tuples_on NAT
len (R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,(R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))) -tuples_on NAT
Sum (R2,(R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R2,R1,(R2,(R2,R1,(R2,R1,R2)),(R2,R1,(R2,R1,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R2,R1,(R2,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R2,R1,(R2,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (R2,R1,(R2,R1,R2))) + (len (R2,R1,(R2,R1,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (R2,(R2,R1,R2))) + (len (R2,R1,(R2,R1,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((Sum (R2,(R2,R1,R2))) + (len (R2,R1,(R2,R1,R2)))) - (Sum (R2,(R2,R1,R2))) is V31() ext-real V141() set
(R2,R2) | (R1 -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(R2,R2) | (Seg (R1 -' 1)) is Relation-like Seg (R1 -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((R2,R2) | (R1 -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K - (Sum ((R2,R2) | (R1 -' 1))) is V31() ext-real V141() set
K -' (Sum ((R2,R2) | (R1 -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (R2,R2) is V33() len R2 -element Element of bool NAT
R1 - 1 is V31() ext-real V141() set
(R1 -' 1) + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(R2,(R1 -' 1),(R2,R1,R2)) is Relation-like NAT -defined (R2 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,R1,R2) | (Seg (R1 -' 1)) is Relation-like Seg (R1 -' 1) -defined NAT -defined (R2 *) * -valued V33() FinSubsequence-like set
len (R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ((R2,R2) | R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((R2,R2) | R1) | (R1 -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
((R2,R2) | R1) | (Seg (R1 -' 1)) is Relation-like Seg (R1 -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
<*(((R2,R2) | R1) . R1)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(((R2,R2) | R1) . R1)] is set
{1,(((R2,R2) | R1) . R1)} is non empty V33() V37() set
{{1,(((R2,R2) | R1) . R1)},{1}} is non empty V33() V37() set
{[1,(((R2,R2) | R1) . R1)]} is Relation-like non empty trivial V33() 1 -element set
(((R2,R2) | R1) | (R1 -' 1)) ^ <*(((R2,R2) | R1) . R1)*> is Relation-like NAT -defined Function-like non empty V33() FinSequence-like FinSubsequence-like set
(Sum ((R2,R2) | (R1 -' 1))) + ((R2,R2) . R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (R2,R2,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum ((R2,R2) | (R1 -' 1))) + (width (R2,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K -' (Sum ((R2,R2) | (R1 -' 1)))) + (Sum ((R2,R2) | (R1 -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width (R2,R2,R1)) + (Sum ((R2,R2) | (R1 -' 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width (R2,R2,R1)) is V15() V33() width (R2,R2,R1) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (R2,R2,R1) ) } is set
(R2,R1,(R2,(R1 -' 1),R2)) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,(R2,(R1 -' 1),R2)), Sum (R2,(R2,(R1 -' 1),R2)),R2
(R2,(R2,R1,R2),R1) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of R2 *
width (R2,R1,(R2,(R1 -' 1),R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width (R2,R1,(R2,R1,R2))) is V15() V33() width (R2,R1,(R2,R1,R2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (R2,R1,(R2,R1,R2)) ) } is set
Col ((R2,R1,(R2,R1,R2)),K) is Relation-like NAT -defined R2 -valued Function-like V33() len (R2,R1,(R2,R1,R2)) -element FinSequence-like FinSubsequence-like Element of (len (R2,R1,(R2,R1,R2))) -tuples_on R2
(len (R2,R1,(R2,R1,R2))) -tuples_on R2 is functional non empty FinSequence-membered FinSequenceSet of R2
(len (R2,R1,(R2,R1,R2))) |-> R1 is Relation-like NAT -defined R2 -valued Function-like V33() len (R2,R1,(R2,R1,R2)) -element FinSequence-like FinSubsequence-like Element of (len (R2,R1,(R2,R1,R2))) -tuples_on R2
(len (R2,R1,(R2,R1,R2))) -tuples_on R2 is functional non empty FinSequence-membered FinSequenceSet of R2
(Col ((R2,R1,(R2,R1,R2)),K)) ^ ((len (R2,R1,(R2,R1,R2))) |-> R1) is Relation-like NAT -defined R2 -valued Function-like V33() (len (R2,R1,(R2,R1,R2))) + (len (R2,R1,(R2,R1,R2))) -element FinSequence-like FinSubsequence-like FinSequence of R2
(len (R2,R1,(R2,R1,R2))) + (len (R2,R1,(R2,R1,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R2 is V33() Element of bool NAT
(R2,(R2,(R2,R1,R2),R1)) is Relation-like NAT -defined (R2 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
[1,(R2,(R2,R1,R2),R1)] is set
{1,(R2,(R2,R1,R2),R1)} is non empty V33() V37() set
{{1,(R2,(R2,R1,R2),R1)},{1}} is non empty V33() V37() set
{[1,(R2,(R2,R1,R2),R1)]} is Relation-like non empty trivial V33() 1 -element set
(R2,(R2,(R1 -' 1),(R2,R1,R2)),(R2,(R2,(R2,R1,R2),R1))) is Relation-like NAT -defined (R2 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
(R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1)) is Relation-like NAT -defined (R2 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like (R2) FinSequence of (R2 *) *
<*(R2,R1,(R2,(R1 -' 1),R2))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(R2,R1,(R2,(R1 -' 1),R2))] is set
{1,(R2,R1,(R2,(R1 -' 1),R2))} is non empty V33() V37() set
{{1,(R2,R1,(R2,(R1 -' 1),R2))},{1}} is non empty V33() V37() set
{[1,(R2,R1,(R2,(R1 -' 1),R2))]} is Relation-like non empty trivial V33() 1 -element set
<*(R2,R2,R1)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(R2,R2,R1)] is set
{1,(R2,R2,R1)} is non empty V33() V37() set
{{1,(R2,R2,R1)},{1}} is non empty V33() V37() set
{[1,(R2,R2,R1)]} is Relation-like non empty trivial V33() 1 -element set
<*(R2,R1,(R2,(R1 -' 1),R2))*> ^ <*(R2,R2,R1)*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
(R2,R1,(R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))) is Relation-like NAT -defined R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2,(R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))), Sum (R2,(R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))),R2
(R2,(R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))) -tuples_on NAT
len (R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (R2,(R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,(R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))) -tuples_on NAT
Sum (R2,(R2,(R2,R1,(R2,(R1 -' 1),R2)),(R2,R2,R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R2,R1,(R2,(R1 -' 1),R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2,R2) | (R1 -' 1) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(R2,R2) | (Seg (R1 -' 1)) is Relation-like Seg (R1 -' 1) -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
Sum ((R2,R2) | (R1 -' 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum ((R2,R2) | (R1 -' 1))) |-> R1 is Relation-like NAT -defined R2 -valued Function-like V33() Sum ((R2,R2) | (R1 -' 1)) -element FinSequence-like FinSubsequence-like Element of (Sum ((R2,R2) | (R1 -' 1))) -tuples_on R2
(Sum ((R2,R2) | (R1 -' 1))) -tuples_on R2 is functional non empty FinSequence-membered FinSequenceSet of R2
Col ((R2,R2,R1),(K -' (Sum ((R2,R2) | (R1 -' 1))))) is Relation-like NAT -defined R2 -valued Function-like V33() len (R2,R2,R1) -element FinSequence-like FinSubsequence-like Element of (len (R2,R2,R1)) -tuples_on R2
((Sum ((R2,R2) | (R1 -' 1))) |-> R1) ^ (Col ((R2,R2,R1),(K -' (Sum ((R2,R2) | (R1 -' 1)))))) is Relation-like NAT -defined R2 -valued Function-like V33() (Sum ((R2,R2) | (R1 -' 1))) + (len (R2,R2,R1)) -element FinSequence-like FinSubsequence-like FinSequence of R2
(Sum ((R2,R2) | (R1 -' 1))) + (len (R2,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum ((R2,R2) | (R1 -' 1))) + (K -' (Sum ((R2,R2) | (R1 -' 1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Col ((R2,R1,(R2,R1,R2)),((Sum ((R2,R2) | (R1 -' 1))) + (K -' (Sum ((R2,R2) | (R1 -' 1)))))) is Relation-like NAT -defined R2 -valued Function-like V33() len (R2,R1,(R2,R1,R2)) -element FinSequence-like FinSubsequence-like Element of (len (R2,R1,(R2,R1,R2))) -tuples_on R2
((Sum (R2,(R2,(R1 -' 1),R2))) |-> R1) ^ (Col ((R2,R2,R1),(K -' (Sum ((R2,R2) | (R1 -' 1)))))) is Relation-like NAT -defined R2 -valued Function-like V33() (Sum (R2,(R2,(R1 -' 1),R2))) + (len (R2,R2,R1)) -element FinSequence-like FinSubsequence-like FinSequence of R2
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
R1 is Element of K
R2 is Element of K
R1 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b1 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1,R2) is Relation-like NAT -defined (K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
<*R2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
<*R1*> ^ <*R2*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
(K,R1,(K,R1,R2)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,R1,R2)), Sum (K,(K,R1,R2)),K
(K,(K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,R2)) -tuples_on NAT
len (K,R1,R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R1,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,R2)) -tuples_on NAT
Sum (K,(K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,b2,b1) is Relation-like NAT -defined (K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
<*b2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,b2] is set
{1,b2} is non empty V33() V37() set
{{1,b2},{1}} is non empty V33() V37() set
{[1,b2]} is Relation-like non empty trivial V33() 1 -element set
<*b1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,b1] is set
{1,b1} is non empty V33() V37() set
{{1,b1},{1}} is non empty V33() V37() set
{[1,b1]} is Relation-like non empty trivial V33() 1 -element set
<*b2*> ^ <*b1*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
(K,R2,(K,b2,b1)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,b2,b1)), Sum (K,(K,b2,b1)),K
(K,(K,b2,b1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,b2,b1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,b2,b1)) -tuples_on NAT
len (K,b2,b1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,b2,b1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,b2,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,b2,b1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,b2,b1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,b2,b1)) -tuples_on NAT
Sum (K,(K,b2,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,b2) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,(K,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1)) -tuples_on NAT
len (K,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*(width R1)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
1 -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
[1,(width R1)] is set
{1,(width R1)} is non empty V33() V37() set
{{1,(width R1)},{1}} is non empty V33() V37() set
{[1,(width R1)]} is Relation-like non empty trivial V33() 1 -element set
Sum <*(width R1)*> is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,b2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,b2)) -tuples_on NAT
len (K,b2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,b2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,b1) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R2) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,(K,R1),(K,R2)) is Relation-like NAT -defined (K *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,(K,(K,R1),(K,R2))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,(K,R1),(K,R2))), Sum (K,(K,(K,R1),(K,R2))),K
(K,(K,(K,R1),(K,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,R1),(K,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,R1),(K,R2))) -tuples_on NAT
len (K,(K,R1),(K,R2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,(K,R1),(K,R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,(K,R1),(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,(K,R1),(K,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,R1),(K,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,R1),(K,R2))) -tuples_on NAT
Sum (K,(K,(K,R1),(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len R1) is V15() V33() len R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R1 ) } is set
Seg (width R1) is V15() V33() width R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R1 ) } is set
Segm ((K,R1,(K,(K,R1),(K,R2))),(Seg (len R1)),(Seg (width R1))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card (Seg (len R1)), card (Seg (width R1)),K
card (Seg (len R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
card (Seg (width R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sgm (Seg (len R1)) is Relation-like NAT -defined NAT -valued Function-like V33() card (Seg (len R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card (Seg (len R1))) -tuples_on NAT
(card (Seg (len R1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sgm (Seg (width R1)) is Relation-like NAT -defined NAT -valued Function-like V33() card (Seg (width R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card (Seg (width R1))) -tuples_on NAT
(card (Seg (width R1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Segm ((K,R1,(K,(K,R1),(K,R2))),(Sgm (Seg (len R1))),(Sgm (Seg (width R1)))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card (Seg (len R1)), card (Seg (width R1)),K
(K,(K,b2),(K,b1)) is Relation-like NAT -defined (K *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R2,(K,(K,b2),(K,b1))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,(K,b2),(K,b1))), Sum (K,(K,(K,b2),(K,b1))),K
(K,(K,(K,b2),(K,b1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,b2),(K,b1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,b2),(K,b1))) -tuples_on NAT
len (K,(K,b2),(K,b1)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,(K,b2),(K,b1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,(K,b2),(K,b1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,(K,b2),(K,b1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,b2),(K,b1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,b2),(K,b1))) -tuples_on NAT
Sum (K,(K,(K,b2),(K,b1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len b2) is V15() V33() len b2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len b2 ) } is set
Seg (width b2) is V15() V33() width b2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width b2 ) } is set
Segm ((K,R2,(K,(K,b2),(K,b1))),(Seg (len b2)),(Seg (width b2))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card (Seg (len b2)), card (Seg (width b2)),K
card (Seg (len b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
card (Seg (width b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sgm (Seg (len b2)) is Relation-like NAT -defined NAT -valued Function-like V33() card (Seg (len b2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card (Seg (len b2))) -tuples_on NAT
(card (Seg (len b2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sgm (Seg (width b2)) is Relation-like NAT -defined NAT -valued Function-like V33() card (Seg (width b2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card (Seg (width b2))) -tuples_on NAT
(card (Seg (width b2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Segm ((K,R2,(K,(K,b2),(K,b1))),(Sgm (Seg (len b2))),(Sgm (Seg (width b2)))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card (Seg (len b2)), card (Seg (width b2)),K
(K,(K,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1)) -tuples_on NAT
Sum (K,(K,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*(len R1)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
[1,(len R1)] is set
{1,(len R1)} is non empty V33() V37() set
{{1,(len R1)},{1}} is non empty V33() V37() set
{[1,(len R1)]} is Relation-like non empty trivial V33() 1 -element set
Sum <*(len R1)*> is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,b2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,b2)) -tuples_on NAT
Sum (K,(K,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) + (Sum (K,(K,R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg ((len R2) + (Sum (K,(K,R1)))) is V15() V33() (len R2) + (Sum (K,(K,R1))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (len R2) + (Sum (K,(K,R1))) ) } is set
Seg (Sum (K,(K,R1))) is V15() V33() Sum (K,(K,R1)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (K,(K,R1)) ) } is set
(Seg ((len R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1)))) is V15() V33() Element of bool NAT
(width R2) + (Sum (K,(K,R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg ((width R2) + (Sum (K,(K,R1)))) is V15() V33() (width R2) + (Sum (K,(K,R1))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (width R2) + (Sum (K,(K,R1))) ) } is set
Seg (Sum (K,(K,R1))) is V15() V33() Sum (K,(K,R1)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (K,(K,R1)) ) } is set
(Seg ((width R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1)))) is V15() V33() Element of bool NAT
Segm ((K,R1,(K,(K,R1),(K,R2))),((Seg ((len R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1))))),((Seg ((width R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1)))))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card ((Seg ((len R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1))))), card ((Seg ((width R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1))))),K
card ((Seg ((len R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
card ((Seg ((width R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sgm ((Seg ((len R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1))))) is Relation-like NAT -defined NAT -valued Function-like V33() card ((Seg ((len R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card ((Seg ((len R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1)))))) -tuples_on NAT
(card ((Seg ((len R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1)))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sgm ((Seg ((width R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1))))) is Relation-like NAT -defined NAT -valued Function-like V33() card ((Seg ((width R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card ((Seg ((width R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1)))))) -tuples_on NAT
(card ((Seg ((width R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1)))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Segm ((K,R1,(K,(K,R1),(K,R2))),(Sgm ((Seg ((len R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1)))))),(Sgm ((Seg ((width R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1))))))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card ((Seg ((len R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1))))), card ((Seg ((width R2) + (Sum (K,(K,R1))))) \ (Seg (Sum (K,(K,R1))))),K
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Element of K
R2 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,R2) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,(K,R2)) is Relation-like NAT -defined (K *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,(K,R1,(K,R2))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,R1,(K,R2))), Sum (K,(K,R1,(K,R2))),K
(K,(K,R1,(K,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,(K,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,(K,R2))) -tuples_on NAT
len (K,R1,(K,R2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R1,(K,R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,R1,(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,(K,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,(K,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,(K,R2))) -tuples_on NAT
Sum (K,(K,R1,(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1,R1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,R1), Sum (K,R1),K
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
Sum (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R2),R1) is Relation-like NAT -defined (K *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,(K,(K,R2),R1)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,(K,R2),R1)), Sum (K,(K,(K,R2),R1)),K
(K,(K,(K,R2),R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,R2),R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,R2),R1)) -tuples_on NAT
len (K,(K,R2),R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,(K,R2),R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,(K,R2),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,(K,R2),R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,R2),R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,R2),R1)) -tuples_on NAT
Sum (K,(K,(K,R2),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,R1)) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
[1,(K,R1,R1)] is set
{1,(K,R1,R1)} is non empty V33() V37() set
{{1,(K,R1,R1)},{1}} is non empty V33() V37() set
{[1,(K,R1,R1)]} is Relation-like non empty trivial V33() 1 -element set
(K,(K,(K,R1,R1)),(K,R2)) is Relation-like NAT -defined (K *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,(K,(K,(K,R1,R1)),(K,R2))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,(K,(K,R1,R1)),(K,R2))), Sum (K,(K,(K,(K,R1,R1)),(K,R2))),K
(K,(K,(K,(K,R1,R1)),(K,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,(K,R1,R1)),(K,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,(K,R1,R1)),(K,R2))) -tuples_on NAT
len (K,(K,(K,R1,R1)),(K,R2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,(K,(K,R1,R1)),(K,R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,(K,(K,R1,R1)),(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,(K,(K,R1,R1)),(K,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,(K,R1,R1)),(K,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,(K,R1,R1)),(K,R2))) -tuples_on NAT
Sum (K,(K,(K,(K,R1,R1)),(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R2),(K,(K,R1,R1))) is Relation-like NAT -defined (K *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
(K,R1,(K,(K,R2),(K,(K,R1,R1)))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,(K,(K,R2),(K,(K,R1,R1)))), Sum (K,(K,(K,R2),(K,(K,R1,R1)))),K
(K,(K,(K,R2),(K,(K,R1,R1)))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,R2),(K,(K,R1,R1))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,R2),(K,(K,R1,R1)))) -tuples_on NAT
len (K,(K,R2),(K,(K,R1,R1))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,(K,R2),(K,(K,R1,R1)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,(K,(K,R2),(K,(K,R1,R1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,(K,R2),(K,(K,R1,R1)))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,R2),(K,(K,R1,R1))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,R2),(K,(K,R1,R1)))) -tuples_on NAT
Sum (K,(K,(K,R2),(K,(K,R1,R1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (K,R1,(K,(K,R2),(K,(K,R1,R1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,(K,R1,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,R1,R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,R1,R1))) -tuples_on NAT
len (K,(K,R1,R1)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,(K,R1,R1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2)) -tuples_on NAT
len (K,R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (K,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(K,(K,(K,R1,R1))) ^ (K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() (len (K,(K,R1,R1))) + (len (K,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len (K,(K,R1,R1))) + (len (K,R2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
Sum (K,(K,(K,R1,R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,R1,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum (K,(K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2)) -tuples_on NAT
Sum (K,(K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (Sum (K,(K,R2))) is V15() V33() Sum (K,(K,R2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (K,(K,R2)) ) } is set
len (K,R1,(K,(K,(K,R1,R1)),(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R1,R1)) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R2)) ^ (K,(K,(K,R1,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() (len (K,R2)) + (len (K,(K,R1,R1))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len (K,R2)) + (len (K,(K,R1,R1))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
len (K,R1,(K,(K,R2),(K,(K,R1,R1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) + (len (K,R1,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,(K,R1,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(K,R1,R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(K,R1,R1))) -tuples_on NAT
(K,(K,R2)) ^ (K,(K,(K,R1,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() (len (K,R2)) + (len (K,(K,R1,R1))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,(K,(K,R1,R1))) ^ (K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() (len (K,(K,R1,R1))) + (len (K,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Sum (K,(K,(K,R1,R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (K,R1,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (K,R1,(K,(K,(K,R1,R1)),(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width (K,R1,R1)) + (width R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len (K,R1,(K,(K,(K,R1,R1)),(K,R2)))) is V15() V33() len (K,R1,(K,(K,(K,R1,R1)),(K,R2))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (K,R1,(K,(K,(K,R1,R1)),(K,R2))) ) } is set
Seg (width (K,R1,(K,(K,(K,R1,R1)),(K,R2)))) is V15() V33() width (K,R1,(K,(K,(K,R1,R1)),(K,R2))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (K,R1,(K,(K,(K,R1,R1)),(K,R2))) ) } is set
Segm ((K,R1,(K,(K,(K,R1,R1)),(K,R2))),(Seg (len (K,R1,(K,(K,(K,R1,R1)),(K,R2))))),(Seg (width (K,R1,(K,(K,(K,R1,R1)),(K,R2)))))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card (Seg (len (K,R1,(K,(K,(K,R1,R1)),(K,R2))))), card (Seg (width (K,R1,(K,(K,(K,R1,R1)),(K,R2))))),K
card (Seg (len (K,R1,(K,(K,(K,R1,R1)),(K,R2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
card (Seg (width (K,R1,(K,(K,(K,R1,R1)),(K,R2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sgm (Seg (len (K,R1,(K,(K,(K,R1,R1)),(K,R2))))) is Relation-like NAT -defined NAT -valued Function-like V33() card (Seg (len (K,R1,(K,(K,(K,R1,R1)),(K,R2))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card (Seg (len (K,R1,(K,(K,(K,R1,R1)),(K,R2)))))) -tuples_on NAT
(card (Seg (len (K,R1,(K,(K,(K,R1,R1)),(K,R2)))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sgm (Seg (width (K,R1,(K,(K,(K,R1,R1)),(K,R2))))) is Relation-like NAT -defined NAT -valued Function-like V33() card (Seg (width (K,R1,(K,(K,(K,R1,R1)),(K,R2))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card (Seg (width (K,R1,(K,(K,(K,R1,R1)),(K,R2)))))) -tuples_on NAT
(card (Seg (width (K,R1,(K,(K,(K,R1,R1)),(K,R2)))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Segm ((K,R1,(K,(K,(K,R1,R1)),(K,R2))),(Sgm (Seg (len (K,R1,(K,(K,(K,R1,R1)),(K,R2)))))),(Sgm (Seg (width (K,R1,(K,(K,(K,R1,R1)),(K,R2))))))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card (Seg (len (K,R1,(K,(K,(K,R1,R1)),(K,R2))))), card (Seg (width (K,R1,(K,(K,(K,R1,R1)),(K,R2))))),K
Seg (len (K,R1,(K,(K,R2),(K,(K,R1,R1))))) is V15() V33() len (K,R1,(K,(K,R2),(K,(K,R1,R1)))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (K,R1,(K,(K,R2),(K,(K,R1,R1)))) ) } is set
Seg (width (K,R1,(K,(K,R2),(K,(K,R1,R1))))) is V15() V33() width (K,R1,(K,(K,R2),(K,(K,R1,R1)))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (K,R1,(K,(K,R2),(K,(K,R1,R1)))) ) } is set
Segm ((K,R1,(K,(K,R2),(K,(K,R1,R1)))),(Seg (len (K,R1,(K,(K,R2),(K,(K,R1,R1)))))),(Seg (width (K,R1,(K,(K,R2),(K,(K,R1,R1))))))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card (Seg (len (K,R1,(K,(K,R2),(K,(K,R1,R1)))))), card (Seg (width (K,R1,(K,(K,R2),(K,(K,R1,R1)))))),K
card (Seg (len (K,R1,(K,(K,R2),(K,(K,R1,R1)))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
card (Seg (width (K,R1,(K,(K,R2),(K,(K,R1,R1)))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sgm (Seg (len (K,R1,(K,(K,R2),(K,(K,R1,R1)))))) is Relation-like NAT -defined NAT -valued Function-like V33() card (Seg (len (K,R1,(K,(K,R2),(K,(K,R1,R1)))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card (Seg (len (K,R1,(K,(K,R2),(K,(K,R1,R1))))))) -tuples_on NAT
(card (Seg (len (K,R1,(K,(K,R2),(K,(K,R1,R1))))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sgm (Seg (width (K,R1,(K,(K,R2),(K,(K,R1,R1)))))) is Relation-like NAT -defined NAT -valued Function-like V33() card (Seg (width (K,R1,(K,(K,R2),(K,(K,R1,R1)))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card (Seg (width (K,R1,(K,(K,R2),(K,(K,R1,R1))))))) -tuples_on NAT
(card (Seg (width (K,R1,(K,(K,R2),(K,(K,R1,R1))))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Segm ((K,R1,(K,(K,R2),(K,(K,R1,R1)))),(Sgm (Seg (len (K,R1,(K,(K,R2),(K,(K,R1,R1))))))),(Sgm (Seg (width (K,R1,(K,(K,R2),(K,(K,R1,R1)))))))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card (Seg (len (K,R1,(K,(K,R2),(K,(K,R1,R1)))))), card (Seg (width (K,R1,(K,(K,R2),(K,(K,R1,R1)))))),K
(len (K,R1,R1)) + (Sum (K,(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg ((len (K,R1,R1)) + (Sum (K,(K,R2)))) is V15() V33() (len (K,R1,R1)) + (Sum (K,(K,R2))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (len (K,R1,R1)) + (Sum (K,(K,R2))) ) } is set
Seg (Sum (K,(K,R2))) is V15() V33() Sum (K,(K,R2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum (K,(K,R2)) ) } is set
(Seg ((len (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2)))) is V15() V33() Element of bool NAT
(width (K,R1,R1)) + (Sum (K,(K,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg ((width (K,R1,R1)) + (Sum (K,(K,R2)))) is V15() V33() (width (K,R1,R1)) + (Sum (K,(K,R2))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (width (K,R1,R1)) + (Sum (K,(K,R2))) ) } is set
(Seg ((width (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2)))) is V15() V33() Element of bool NAT
Segm ((K,R1,(K,(K,R2),(K,(K,R1,R1)))),((Seg ((len (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2))))),((Seg ((width (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2)))))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card ((Seg ((len (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2))))), card ((Seg ((width (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2))))),K
card ((Seg ((len (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
card ((Seg ((width (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sgm ((Seg ((len (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2))))) is Relation-like NAT -defined NAT -valued Function-like V33() card ((Seg ((len (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card ((Seg ((len (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2)))))) -tuples_on NAT
(card ((Seg ((len (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2)))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sgm ((Seg ((width (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2))))) is Relation-like NAT -defined NAT -valued Function-like V33() card ((Seg ((width (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card ((Seg ((width (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2)))))) -tuples_on NAT
(card ((Seg ((width (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2)))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Segm ((K,R1,(K,(K,R2),(K,(K,R1,R1)))),(Sgm ((Seg ((len (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2)))))),(Sgm ((Seg ((width (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2))))))) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card ((Seg ((len (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2))))), card ((Seg ((width (K,R1,R1)) + (Sum (K,(K,R2))))) \ (Seg (Sum (K,(K,R2))))),K
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of R1 is non empty non trivial set
the carrier of R1 * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
( the carrier of R1 *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1 *
R2 is Element of the carrier of R1
R1 is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
dom R1 is V33() Element of bool NAT
width R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
DelLine (R1,K) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
width (DelLine (R1,K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,R1) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,(DelLine (R1,K))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,(DelLine (R1,K))] is set
{1,(DelLine (R1,K))} is non empty V33() V37() set
{{1,(DelLine (R1,K))},{1}} is non empty V33() V37() set
{[1,(DelLine (R1,K))]} is Relation-like non empty trivial V33() 1 -element set
R2 is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,( the carrier of R1,R1),R2) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R1),R2)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R1),R2)), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R1),R2)), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,R1),R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,R1),R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,R1),R2)) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,R1),R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,R1),R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R1),R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,R1),R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,R1),R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,R1),R2)) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R1),R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
DelLine (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R1),R2)),K) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),R2) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),R2)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),R2)), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),R2)), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),R2)) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),R2)) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len R1) is V15() V33() len R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R1 ) } is set
len (DelLine (R1,K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
b1 + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
( the carrier of R1,R2,R2) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,R2), Sum ( the carrier of R1,R2), the carrier of R1
( the carrier of R1,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
Sum ( the carrier of R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,R2,R2)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,( the carrier of R1,R2,R2)] is set
{1,( the carrier of R1,R2,R2)} is non empty V33() V37() set
{{1,( the carrier of R1,R2,R2)},{1}} is non empty V33() V37() set
{[1,( the carrier of R1,R2,R2)]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,R1,( the carrier of R1,R2,R2)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*( the carrier of R1,R2,R2)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*R1*> ^ <*( the carrier of R1,R2,R2)*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,R1,( the carrier of R1,R2,R2))), Sum ( the carrier of R1,( the carrier of R1,R1,( the carrier of R1,R2,R2))), the carrier of R1
( the carrier of R1,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,R1,( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,R1,( the carrier of R1,R2,R2))) -tuples_on NAT
len ( the carrier of R1,R1,( the carrier of R1,R2,R2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,R1,( the carrier of R1,R2,R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,R1,( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,R1,( the carrier of R1,R2,R2))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
<*(DelLine (R1,K))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*(DelLine (R1,K))*> ^ <*( the carrier of R1,R2,R2)*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))), Sum ( the carrier of R1,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))), the carrier of R1
( the carrier of R1,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) -tuples_on NAT
len ( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2)))) is V15() V33() len ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) ) } is set
dom ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is V33() Element of bool NAT
( the carrier of R1,( the carrier of R1,R1),( the carrier of R1,( the carrier of R1,R2,R2))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,( the carrier of R1,( the carrier of R1,R1),( the carrier of R1,( the carrier of R1,R2,R2)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,R1),( the carrier of R1,( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,R1),( the carrier of R1,( the carrier of R1,R2,R2)))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,R1),( the carrier of R1,( the carrier of R1,R2,R2))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,R1),( the carrier of R1,( the carrier of R1,R2,R2)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R1),( the carrier of R1,( the carrier of R1,R2,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of R1,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + (len ( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),( the carrier of R1,( the carrier of R1,R2,R2))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),( the carrier of R1,( the carrier of R1,R2,R2)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),( the carrier of R1,( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),( the carrier of R1,( the carrier of R1,R2,R2)))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),( the carrier of R1,( the carrier of R1,R2,R2))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),( the carrier of R1,( the carrier of R1,R2,R2)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (R1,K))),( the carrier of R1,( the carrier of R1,R2,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b1 + (len ( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(b1 + (len ( the carrier of R1,R2,R2))) + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (DelLine (R1,K))) + (len ( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (b1 + (len ( the carrier of R1,R2,R2))) is V15() V33() b1 + (len ( the carrier of R1,R2,R2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= b1 + (len ( the carrier of R1,R2,R2)) ) } is set
bAB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
1 + bAB is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
bAB + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
dom (DelLine (R1,K)) is V33() Element of bool NAT
Seg b1 is V15() V33() b1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= b1 ) } is set
bAbB is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len R1, width R1, the carrier of R1
Line (bAbB,bAB) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width bAbB -element FinSequence-like FinSubsequence-like Element of (width bAbB) -tuples_on the carrier of R1
width bAbB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width bAbB) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
R1 . bAB is FinSequence-like set
bA is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len (DelLine (R1,K)), width (DelLine (R1,K)), the carrier of R1
bA . bAB is FinSequence-like set
Line ((DelLine (R1,K)),bAB) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width (DelLine (R1,K)) -element FinSequence-like FinSubsequence-like Element of (width (DelLine (R1,K))) -tuples_on the carrier of R1
(width (DelLine (R1,K))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Del (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),K) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1 *
(Del (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),K)) . bAB is FinSequence-like set
( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) . bAB is FinSequence-like set
Line (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),bAB) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
width ( the carrier of R1,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,R2)) |-> R2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,R2) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,R2)) -tuples_on the carrier of R1
(width ( the carrier of R1,R2,R2)) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
(Line ((DelLine (R1,K)),bAB)) ^ ((width ( the carrier of R1,R2,R2)) |-> R2) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() (width (DelLine (R1,K))) + (width ( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(width (DelLine (R1,K))) + (width ( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))),bAB) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) . bAB is FinSequence-like set
Del (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),K) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1 *
(Del (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),K)) . bAB is FinSequence-like set
( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) . (bAB + 1) is FinSequence-like set
Line (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),(bAB + 1)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Seg b1 is V15() V33() b1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= b1 ) } is set
dom (DelLine (R1,K)) is V33() Element of bool NAT
bAbB is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len R1, width R1, the carrier of R1
Line (bAbB,(bAB + 1)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width bAbB -element FinSequence-like FinSubsequence-like Element of (width bAbB) -tuples_on the carrier of R1
width bAbB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width bAbB) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
R1 . (bAB + 1) is FinSequence-like set
bA is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len (DelLine (R1,K)), width (DelLine (R1,K)), the carrier of R1
bA . bAB is FinSequence-like set
Line ((DelLine (R1,K)),bAB) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width (DelLine (R1,K)) -element FinSequence-like FinSubsequence-like Element of (width (DelLine (R1,K))) -tuples_on the carrier of R1
(width (DelLine (R1,K))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
width ( the carrier of R1,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,R2)) |-> R2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,R2) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,R2)) -tuples_on the carrier of R1
(width ( the carrier of R1,R2,R2)) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
(Line ((DelLine (R1,K)),bAB)) ^ ((width ( the carrier of R1,R2,R2)) |-> R2) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() (width (DelLine (R1,K))) + (width ( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(width (DelLine (R1,K))) + (width ( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))),bAB) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
(bAB + 1) - (len R1) is V31() ext-real V141() set
i is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
i + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ( the carrier of R1,R2,R2)) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ( the carrier of R1,R2,R2) is V33() Element of bool NAT
Line (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),(i + (len R1))) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1
(width (DelLine (R1,K))) |-> R2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width (DelLine (R1,K)) -element FinSequence-like FinSubsequence-like Element of (width (DelLine (R1,K))) -tuples_on the carrier of R1
(width (DelLine (R1,K))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Line (( the carrier of R1,R2,R2),i) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,R2) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,R2)) -tuples_on the carrier of R1
width ( the carrier of R1,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,R2)) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
((width (DelLine (R1,K))) |-> R2) ^ (Line (( the carrier of R1,R2,R2),i)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() (width (DelLine (R1,K))) + (width ( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(width (DelLine (R1,K))) + (width ( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
i + (len (DelLine (R1,K))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))),(i + (len (DelLine (R1,K))))) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Line (( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))),bAB) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1
Line (( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))),bAB) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Line (( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))),bAB) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) . bAB is FinSequence-like set
Del (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),K) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1 *
(Del (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),K)) . bAB is FinSequence-like set
( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) . bAB is FinSequence-like set
Del (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),K) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1 *
(Del (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),K)) . bAB is FinSequence-like set
( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)),( the carrier of R1,R2,R2))) . bAB is FinSequence-like set
len (Del (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of R1 is non empty non trivial set
the carrier of R1 * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
( the carrier of R1 *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1 *
R2 is Element of the carrier of R1
R1 is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
dom R1 is V33() Element of bool NAT
width R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
DelLine (R1,K) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
width (DelLine (R1,K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,R1) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,(DelLine (R1,K))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,(DelLine (R1,K))] is set
{1,(DelLine (R1,K))} is non empty V33() V37() set
{{1,(DelLine (R1,K))},{1}} is non empty V33() V37() set
{[1,(DelLine (R1,K))]} is Relation-like non empty trivial V33() 1 -element set
R2 is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum ( the carrier of R1,R2)) + K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,R2,( the carrier of R1,R1)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,R2,( the carrier of R1,R2,( the carrier of R1,R1))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,R1))), Sum ( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,R1))), the carrier of R1
( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,R2,( the carrier of R1,R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,R2,( the carrier of R1,R1))) -tuples_on NAT
len ( the carrier of R1,R2,( the carrier of R1,R1)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,R2,( the carrier of R1,R1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,R2,( the carrier of R1,R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,R2,( the carrier of R1,R1))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
DelLine (( the carrier of R1,R2,( the carrier of R1,R2,( the carrier of R1,R1))),((Sum ( the carrier of R1,R2)) + K)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,R2,( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K))))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K))))), Sum ( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K))))), the carrier of R1
( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K))))) -tuples_on NAT
len ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K))))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,(DelLine (R1,K))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len R1) is V15() V33() len R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R1 ) } is set
len (DelLine (R1,K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
b1 + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
( the carrier of R1,R2,R2) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,R2), Sum ( the carrier of R1,R2), the carrier of R1
( the carrier of R1,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
Sum ( the carrier of R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,R2,R2)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,( the carrier of R1,R2,R2)] is set
{1,( the carrier of R1,R2,R2)} is non empty V33() V37() set
{{1,( the carrier of R1,R2,R2)},{1}} is non empty V33() V37() set
{[1,( the carrier of R1,R2,R2)]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,( the carrier of R1,R2,R2),R1) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
<*( the carrier of R1,R2,R2)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*( the carrier of R1,R2,R2)*> ^ <*R1*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),R1)), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),R1)), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,R2,R2),R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,R2,R2),R1)) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,R2,R2),R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,R2,R2),R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,R2,R2),R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,R2,R2),R1)) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
<*(DelLine (R1,K))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*( the carrier of R1,R2,R2)*> ^ <*(DelLine (R1,K))*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1))) is V15() V33() len ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) ) } is set
dom ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is V33() Element of bool NAT
len ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,(DelLine (R1,K)))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,(DelLine (R1,K))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,(DelLine (R1,K)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,(DelLine (R1,K))))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,(DelLine (R1,K)))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,(DelLine (R1,K))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,(DelLine (R1,K))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of R1,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b1 + (len ( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R1)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R1))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R1)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + (len ( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(b1 + (len ( the carrier of R1,R2,R2))) + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len (DelLine (R1,K))) + (len ( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (b1 + (len ( the carrier of R1,R2,R2))) is V15() V33() b1 + (len ( the carrier of R1,R2,R2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= b1 + (len ( the carrier of R1,R2,R2)) ) } is set
i is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
1 + i is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
i + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
dom ( the carrier of R1,R2,R2) is V33() Element of bool NAT
(len ( the carrier of R1,R2,R2)) + K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
i + {} is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
Del (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),((Sum ( the carrier of R1,R2)) + K)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1 *
(Del (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),((Sum ( the carrier of R1,R2)) + K))) . i is FinSequence-like set
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) . i is FinSequence-like set
Line (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),i) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Line (( the carrier of R1,R2,R2),i) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,R2) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,R2)) -tuples_on the carrier of R1
width ( the carrier of R1,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,R2)) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
(width (DelLine (R1,K))) |-> R2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width (DelLine (R1,K)) -element FinSequence-like FinSubsequence-like Element of (width (DelLine (R1,K))) -tuples_on the carrier of R1
(width (DelLine (R1,K))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
(Line (( the carrier of R1,R2,R2),i)) ^ ((width (DelLine (R1,K))) |-> R2) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() (width ( the carrier of R1,R2,R2)) + (width (DelLine (R1,K))) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(width ( the carrier of R1,R2,R2)) + (width (DelLine (R1,K))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))),i) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K))))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K))))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) . i is FinSequence-like set
i - (len ( the carrier of R1,R2,R2)) is V31() ext-real V141() set
{} + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
j is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
j + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
j + (len ( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (DelLine (R1,K)) is V33() Element of bool NAT
Seg (len (DelLine (R1,K))) is V15() V33() len (DelLine (R1,K)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (DelLine (R1,K)) ) } is set
K + (len ( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (R1,j) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of R1
(width R1) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
bAB is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len R1, width R1, the carrier of R1
bAB . j is FinSequence-like set
bAbB is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len (DelLine (R1,K)), width (DelLine (R1,K)), the carrier of R1
bAbB . j is FinSequence-like set
Line ((DelLine (R1,K)),j) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width (DelLine (R1,K)) -element FinSequence-like FinSubsequence-like Element of (width (DelLine (R1,K))) -tuples_on the carrier of R1
(width (DelLine (R1,K))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Del (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),((Sum ( the carrier of R1,R2)) + K)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1 *
(Del (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),((Sum ( the carrier of R1,R2)) + K))) . i is FinSequence-like set
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) . i is FinSequence-like set
Line (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),(j + (len ( the carrier of R1,R2,R2)))) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
width ( the carrier of R1,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,R2)) |-> R2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,R2) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,R2)) -tuples_on the carrier of R1
(width ( the carrier of R1,R2,R2)) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
((width ( the carrier of R1,R2,R2)) |-> R2) ^ (Line ((DelLine (R1,K)),j)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() (width ( the carrier of R1,R2,R2)) + (width (DelLine (R1,K))) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(width ( the carrier of R1,R2,R2)) + (width (DelLine (R1,K))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))),(j + (len ( the carrier of R1,R2,R2)))) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K))))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K))))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
K + (len ( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
1 + j is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
Line (R1,(1 + j)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of R1
(width R1) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
bAB is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len R1, width R1, the carrier of R1
bAB . (1 + j) is FinSequence-like set
bAbB is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len (DelLine (R1,K)), width (DelLine (R1,K)), the carrier of R1
bAbB . j is FinSequence-like set
Line ((DelLine (R1,K)),j) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width (DelLine (R1,K)) -element FinSequence-like FinSubsequence-like Element of (width (DelLine (R1,K))) -tuples_on the carrier of R1
(width (DelLine (R1,K))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Del (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),((Sum ( the carrier of R1,R2)) + K)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1 *
(Del (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),((Sum ( the carrier of R1,R2)) + K))) . i is FinSequence-like set
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) . (i + 1) is FinSequence-like set
(j + 1) + (len ( the carrier of R1,R2,R2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
Line (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),((j + 1) + (len ( the carrier of R1,R2,R2)))) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
width ( the carrier of R1,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,R2)) |-> R2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,R2) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,R2)) -tuples_on the carrier of R1
(width ( the carrier of R1,R2,R2)) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
((width ( the carrier of R1,R2,R2)) |-> R2) ^ (Line ((DelLine (R1,K)),j)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() (width ( the carrier of R1,R2,R2)) + (width (DelLine (R1,K))) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(width ( the carrier of R1,R2,R2)) + (width (DelLine (R1,K))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))),(j + (len ( the carrier of R1,R2,R2)))) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K))))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K))))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Del (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),((Sum ( the carrier of R1,R2)) + K)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1 *
(Del (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),((Sum ( the carrier of R1,R2)) + K))) . i is FinSequence-like set
Line (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))),(j + (len ( the carrier of R1,R2,R2)))) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K))))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K))))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Del (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),((Sum ( the carrier of R1,R2)) + K)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1 *
(Del (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),((Sum ( the carrier of R1,R2)) + K))) . i is FinSequence-like set
Line (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))),(j + (len ( the carrier of R1,R2,R2)))) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K))))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K))))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) . i is FinSequence-like set
Del (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),((Sum ( the carrier of R1,R2)) + K)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1 *
(Del (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),((Sum ( the carrier of R1,R2)) + K))) . i is FinSequence-like set
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) . i is FinSequence-like set
Del (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),((Sum ( the carrier of R1,R2)) + K)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1 *
(Del (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),((Sum ( the carrier of R1,R2)) + K))) . i is FinSequence-like set
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelLine (R1,K)))) . i is FinSequence-like set
K + (Sum ( the carrier of R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Del (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),(K + (Sum ( the carrier of R1,R2)))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1 *
(Del (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),(K + (Sum ( the carrier of R1,R2))))) . i is FinSequence-like set
len (Del (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),((Sum ( the carrier of R1,R2)) + K))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of R1 is non empty non trivial set
the carrier of R1 * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
( the carrier of R1 *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1 *
R2 is Element of the carrier of R1
R1 is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
width R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width R1) is V15() V33() width R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R1 ) } is set
( the carrier of R1,R1) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
DelCol (R1,K) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
( the carrier of R1,(DelCol (R1,K))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,(DelCol (R1,K))] is set
{1,(DelCol (R1,K))} is non empty V33() V37() set
{{1,(DelCol (R1,K))},{1}} is non empty V33() V37() set
{[1,(DelCol (R1,K))]} is Relation-like non empty trivial V33() 1 -element set
R2 is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,( the carrier of R1,R1),R2) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R1),R2)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R1),R2)), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R1),R2)), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,R1),R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,R1),R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,R1),R2)) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,R1),R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,R1),R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R1),R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,R1),R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,R1),R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,R1),R2)) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R1),R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
DelCol (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R1),R2)),K) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),R2) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),R2)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),R2)), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),R2)), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),R2)) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),R2)) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,R2,R2) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,R2), Sum ( the carrier of R1,R2), the carrier of R1
( the carrier of R1,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
Sum ( the carrier of R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,R2,R2)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,( the carrier of R1,R2,R2)] is set
{1,( the carrier of R1,R2,R2)} is non empty V33() V37() set
{{1,( the carrier of R1,R2,R2)},{1}} is non empty V33() V37() set
{[1,( the carrier of R1,R2,R2)]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,R1,( the carrier of R1,R2,R2)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*( the carrier of R1,R2,R2)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*R1*> ^ <*( the carrier of R1,R2,R2)*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,R1,( the carrier of R1,R2,R2))), Sum ( the carrier of R1,( the carrier of R1,R1,( the carrier of R1,R2,R2))), the carrier of R1
( the carrier of R1,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,R1,( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,R1,( the carrier of R1,R2,R2))) -tuples_on NAT
len ( the carrier of R1,R1,( the carrier of R1,R2,R2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,R1,( the carrier of R1,R2,R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,R1,( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,R1,( the carrier of R1,R2,R2))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
<*(DelCol (R1,K))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*(DelCol (R1,K))*> ^ <*( the carrier of R1,R2,R2)*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))), Sum ( the carrier of R1,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))), the carrier of R1
( the carrier of R1,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))) -tuples_on NAT
len ( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (DelCol (R1,K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,R1),( the carrier of R1,( the carrier of R1,R2,R2))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,( the carrier of R1,( the carrier of R1,R1),( the carrier of R1,( the carrier of R1,R2,R2)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,R1),( the carrier of R1,( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,R1),( the carrier of R1,( the carrier of R1,R2,R2)))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,R1),( the carrier of R1,( the carrier of R1,R2,R2))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,R1),( the carrier of R1,( the carrier of R1,R2,R2)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R1),( the carrier of R1,( the carrier of R1,R2,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of R1,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + (len ( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),( the carrier of R1,( the carrier of R1,R2,R2))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),( the carrier of R1,( the carrier of R1,R2,R2)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),( the carrier of R1,( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),( the carrier of R1,( the carrier of R1,R2,R2)))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),( the carrier of R1,( the carrier of R1,R2,R2))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),( the carrier of R1,( the carrier of R1,R2,R2)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelCol (R1,K))),( the carrier of R1,( the carrier of R1,R2,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (DelCol (R1,K))) + (len ( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (DelCol (R1,K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
bA is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
Seg (len ( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2)))) is V15() V33() len ( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len ( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))) ) } is set
Seg (len R1) is V15() V33() len R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R1 ) } is set
dom (DelCol (R1,K)) is V33() Element of bool NAT
Line (R1,bA) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of R1
(width R1) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
dom (Line (R1,bA)) is V33() width R1 -element Element of bool NAT
dom R1 is V33() Element of bool NAT
Line (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),bA) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
width ( the carrier of R1,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,R2)) |-> R2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,R2) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,R2)) -tuples_on the carrier of R1
(width ( the carrier of R1,R2,R2)) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
(Line (R1,bA)) ^ ((width ( the carrier of R1,R2,R2)) |-> R2) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() (width R1) + (width ( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(width R1) + (width ( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Del ((Line (R1,bA)),K) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
bB is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len (DelCol (R1,K)), width (DelCol (R1,K)), the carrier of R1
bB . bA is FinSequence-like set
Line ((DelCol (R1,K)),bA) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width (DelCol (R1,K)) -element FinSequence-like FinSubsequence-like Element of (width (DelCol (R1,K))) -tuples_on the carrier of R1
(width (DelCol (R1,K))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Del ((Line (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),bA)),K) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(Line ((DelCol (R1,K)),bA)) ^ ((width ( the carrier of R1,R2,R2)) |-> R2) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() (width (DelCol (R1,K))) + (width ( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(width (DelCol (R1,K))) + (width ( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))),bA) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))) . bA is FinSequence-like set
bA - (len R1) is V31() ext-real V141() set
bAbB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width R1) - 1 is V31() ext-real V141() set
(width R1) |-> R2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of R1
(width R1) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
dom ((width R1) |-> R2) is V33() width R1 -element Element of bool NAT
bAB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
bAB + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(bAB + 1) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
bAbB + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ( the carrier of R1,R2,R2)) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ( the carrier of R1,R2,R2) is V33() Element of bool NAT
Line (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),(bAbB + (len R1))) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Line (( the carrier of R1,R2,R2),bAbB) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,R2) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,R2)) -tuples_on the carrier of R1
width ( the carrier of R1,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,R2)) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
((width R1) |-> R2) ^ (Line (( the carrier of R1,R2,R2),bAbB)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() (width R1) + (width ( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(width R1) + (width ( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),bA) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1
Del ((Line (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),bA)),K) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(bAB + 1) |-> R2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() bAB + 1 -element FinSequence-like FinSubsequence-like Element of (bAB + 1) -tuples_on the carrier of R1
(bAB + 1) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Del (((bAB + 1) |-> R2),K) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(Del (((bAB + 1) |-> R2),K)) ^ (Line (( the carrier of R1,R2,R2),bAbB)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(width (DelCol (R1,K))) |-> R2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width (DelCol (R1,K)) -element FinSequence-like FinSubsequence-like Element of (width (DelCol (R1,K))) -tuples_on the carrier of R1
(width (DelCol (R1,K))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
((width (DelCol (R1,K))) |-> R2) ^ (Line (( the carrier of R1,R2,R2),bAbB)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() (width (DelCol (R1,K))) + (width ( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(width (DelCol (R1,K))) + (width ( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + bAbB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))),((len R1) + bAbB)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))) . bA is FinSequence-like set
Line (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),bA) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Del ((Line (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),bA)),K) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))) . bA is FinSequence-like set
Line (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),bA) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2)))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Del ((Line (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),bA)),K) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)),( the carrier of R1,R2,R2))) . bA is FinSequence-like set
dom ( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))) is V33() Element of bool NAT
DelCol (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),K) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
(DelCol (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),K)) . bA is FinSequence-like set
len (DelCol (( the carrier of R1,R2,( the carrier of R1,R1,( the carrier of R1,R2,R2))),K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of R1 is non empty non trivial set
the carrier of R1 * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
( the carrier of R1 *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1 *
R2 is Element of the carrier of R1
R1 is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
width R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width R1) is V15() V33() width R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R1 ) } is set
( the carrier of R1,R1) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
DelCol (R1,K) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
( the carrier of R1,(DelCol (R1,K))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,(DelCol (R1,K))] is set
{1,(DelCol (R1,K))} is non empty V33() V37() set
{{1,(DelCol (R1,K))},{1}} is non empty V33() V37() set
{[1,(DelCol (R1,K))]} is Relation-like non empty trivial V33() 1 -element set
R2 is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K + (Sum ( the carrier of R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,R2,( the carrier of R1,R1)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,R2,( the carrier of R1,R2,( the carrier of R1,R1))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,R1))), Sum ( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,R1))), the carrier of R1
( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,R2,( the carrier of R1,R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,R2,( the carrier of R1,R1))) -tuples_on NAT
len ( the carrier of R1,R2,( the carrier of R1,R1)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,R2,( the carrier of R1,R1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,R2,( the carrier of R1,R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,R2,( the carrier of R1,R1))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
DelCol (( the carrier of R1,R2,( the carrier of R1,R2,( the carrier of R1,R1))),(K + (Sum ( the carrier of R1,R2)))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,R2,( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K))))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K))))), Sum ( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K))))), the carrier of R1
( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K))))) -tuples_on NAT
len ( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K))))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,R2,( the carrier of R1,(DelCol (R1,K))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,R2,R2) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,R2), Sum ( the carrier of R1,R2), the carrier of R1
( the carrier of R1,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
Sum ( the carrier of R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,R2,R2)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,( the carrier of R1,R2,R2)] is set
{1,( the carrier of R1,R2,R2)} is non empty V33() V37() set
{{1,( the carrier of R1,R2,R2)},{1}} is non empty V33() V37() set
{[1,( the carrier of R1,R2,R2)]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,( the carrier of R1,R2,R2),R1) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
<*( the carrier of R1,R2,R2)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*( the carrier of R1,R2,R2)*> ^ <*R1*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),R1)), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),R1)), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,R2,R2),R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,R2,R2),R1)) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,R2,R2),R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,R2,R2),R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,R2,R2),R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,R2,R2),R1)) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
<*(DelCol (R1,K))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*( the carrier of R1,R2,R2)*> ^ <*(DelCol (R1,K))*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (DelCol (R1,K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R1)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R1))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R1)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of R1,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ( the carrier of R1,R2,R2)) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width ( the carrier of R1,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,(DelCol (R1,K)))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,(DelCol (R1,K))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,(DelCol (R1,K)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,(DelCol (R1,K))))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,(DelCol (R1,K)))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,(DelCol (R1,K))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,(DelCol (R1,K))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ( the carrier of R1,R2,R2)) + (len (DelCol (R1,K))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width R1) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width R1) - 1 is V31() ext-real V141() set
((width R1) -' 1) + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(width R1) |-> R2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of R1
(width R1) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
dom ((width R1) |-> R2) is V33() width R1 -element Element of bool NAT
(width ( the carrier of R1,R2,R2)) |-> R2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,R2) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,R2)) -tuples_on the carrier of R1
(width ( the carrier of R1,R2,R2)) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
len ((width ( the carrier of R1,R2,R2)) |-> R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (DelCol (R1,K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
bAbB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
Seg (len ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K))))) is V15() V33() len ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))) ) } is set
Line (( the carrier of R1,R2,R2),bAbB) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,R2) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,R2)) -tuples_on the carrier of R1
len (Line (( the carrier of R1,R2,R2),bAbB)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ( the carrier of R1,R2,R2) is V33() Element of bool NAT
Line (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),bAbB) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
(Line (( the carrier of R1,R2,R2),bAbB)) ^ ((width R1) |-> R2) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() (width ( the carrier of R1,R2,R2)) + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(width ( the carrier of R1,R2,R2)) + (width R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Del ((Line (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),bAbB)),(K + (Sum ( the carrier of R1,R2)))) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
Del (((width R1) |-> R2),K) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(Line (( the carrier of R1,R2,R2),bAbB)) ^ (Del (((width R1) |-> R2),K)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
((width R1) -' 1) |-> R2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() (width R1) -' 1 -element FinSequence-like FinSubsequence-like Element of ((width R1) -' 1) -tuples_on the carrier of R1
((width R1) -' 1) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
(Line (( the carrier of R1,R2,R2),bAbB)) ^ (((width R1) -' 1) |-> R2) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() (width ( the carrier of R1,R2,R2)) + ((width R1) -' 1) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(width ( the carrier of R1,R2,R2)) + ((width R1) -' 1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width (DelCol (R1,K))) |-> R2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width (DelCol (R1,K)) -element FinSequence-like FinSubsequence-like Element of (width (DelCol (R1,K))) -tuples_on the carrier of R1
(width (DelCol (R1,K))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
(Line (( the carrier of R1,R2,R2),bAbB)) ^ ((width (DelCol (R1,K))) |-> R2) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() (width ( the carrier of R1,R2,R2)) + (width (DelCol (R1,K))) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(width ( the carrier of R1,R2,R2)) + (width (DelCol (R1,K))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))),bAbB) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K))))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K))))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))) . bAbB is FinSequence-like set
bAbB - (len ( the carrier of R1,R2,R2)) is V31() ext-real V141() set
bAB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
bAB + (len ( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (DelCol (R1,K)) is V33() Element of bool NAT
Seg (len R1) is V15() V33() len R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R1 ) } is set
dom R1 is V33() Element of bool NAT
Line (R1,bAB) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of R1
Del ((Line (R1,bAB)),K) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
bA is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len (DelCol (R1,K)), width (DelCol (R1,K)), the carrier of R1
bA . bAB is FinSequence-like set
Line ((DelCol (R1,K)),bAB) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width (DelCol (R1,K)) -element FinSequence-like FinSubsequence-like Element of (width (DelCol (R1,K))) -tuples_on the carrier of R1
(width (DelCol (R1,K))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
dom (Line (R1,bAB)) is V33() width R1 -element Element of bool NAT
Line (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),(bAB + (len ( the carrier of R1,R2,R2)))) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
((width ( the carrier of R1,R2,R2)) |-> R2) ^ (Line (R1,bAB)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() (width ( the carrier of R1,R2,R2)) + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(width ( the carrier of R1,R2,R2)) + (width R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),bAbB) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1))) -tuples_on the carrier of R1
Del ((Line (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),bAbB)),(K + (Sum ( the carrier of R1,R2)))) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
((width ( the carrier of R1,R2,R2)) |-> R2) ^ (Del ((Line (R1,bAB)),K)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(len ( the carrier of R1,R2,R2)) + bAB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))),((len ( the carrier of R1,R2,R2)) + bAB)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K))))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K))))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))) . bAbB is FinSequence-like set
Line (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),bAbB) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Del ((Line (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),bAbB)),(K + (Sum ( the carrier of R1,R2)))) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))) . bAbB is FinSequence-like set
Line (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),bAbB) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1))) -tuples_on the carrier of R1
width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Del ((Line (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),bAbB)),(K + (Sum ( the carrier of R1,R2)))) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),(DelCol (R1,K)))) . bAbB is FinSequence-like set
dom ( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)) is V33() Element of bool NAT
DelCol (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),(K + (Sum ( the carrier of R1,R2)))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
(DelCol (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),(K + (Sum ( the carrier of R1,R2))))) . bAbB is FinSequence-like set
len (DelCol (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,R2,R2),R1)),(K + (Sum ( the carrier of R1,R2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
<*> ((K *) *) is Relation-like non-empty empty-yielding NAT -defined RAT -valued (K *) * -valued Function-like functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() FinSequence of (K *) *
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of (K *) *
dom R1 is V33() Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 . R2 is FinSequence-like set
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of (K *) *
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
dom R1 is V33() Element of bool NAT
R1 . R2 is FinSequence-like set
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
<*> ((K *) *) is Relation-like non-empty empty-yielding NAT -defined RAT -valued (K *) * -valued Function-like functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() FinSequence of (K *) *
dom (<*> ((K *) *)) is Relation-like non-empty empty-yielding RAT -valued functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(<*> ((K *) *)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() V185() set
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) (K) FinSequence of (K *) *
R2 is set
R1 . R2 is FinSequence-like set
(K,R1,R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R1 is V33() Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1,R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R1 is V33() Element of bool NAT
R1 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of {} , {} ,K
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R1 is V33() Element of bool NAT
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) (K) FinSequence of (K *) *
R2 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) (K) FinSequence of (K *) *
R1 ^ R2 is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(K,R1,R2) is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
dom (K,R1,R2) is V33() Element of bool NAT
(K,R1,R2) . R1 is FinSequence-like set
(K,(K,R1,R2),R1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len (K,(K,R1,R2),R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R1 is V33() Element of bool NAT
(K,R1,R1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len (K,R1,R1), len (K,R1,R1),K
(K,R1,R1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len (K,R1,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R2 is V33() Element of bool NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len R1) + R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len R1) + R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2,R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len (K,R2,R2), len (K,R2,R2),K
(K,R2,R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len (K,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R1 is V33() Element of bool NAT
dom R2 is V33() Element of bool NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is non empty set
R1 * is functional non empty FinSequence-membered FinSequenceSet of R1
(R1 *) * is functional non empty FinSequence-membered FinSequenceSet of R1 *
R2 is Relation-like NAT -defined R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of K,K,R1
(R1,R2) is Relation-like NAT -defined (R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (R1) FinSequence of (R1 *) *
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
dom (R1,R2) is non empty trivial V33() 1 -element Element of bool NAT
(R1,(R1,R2),1) is Relation-like NAT -defined R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of R1 *
{1} is non empty trivial V33() V37() 1 -element Element of bool NAT
(R1,(R1,R2),R1) is Relation-like NAT -defined R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of R1 *
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of R1,R1,K
<*R2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of R1,R1,K
R2 is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of R2,R2,K
<*R1,R2*> is Relation-like NAT -defined Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like set
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
<*R2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
<*R1*> ^ <*R2*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
(K,R1,R1) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) (K) FinSequence of (K *) *
(K,R2,R2) is Relation-like NAT -defined (K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like (K) (K) FinSequence of (K *) *
(K,R1,R2) is Relation-like NAT -defined (K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
b2 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) (K) FinSequence of (K *) *
b1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) (K) FinSequence of (K *) *
(K,b2,b1) is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) (K) FinSequence of (K *) *
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) (K) FinSequence of (K *) *
R2 | R1 is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
Seg R1 is V15() V33() R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R1 ) } is set
R2 | (Seg R1) is Relation-like Seg R1 -defined NAT -defined (K *) * -valued V33() FinSubsequence-like set
(K,R1,R2) is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
dom (K,R1,R2) is V33() Element of bool NAT
(K,R1,R2) . R1 is FinSequence-like set
(K,R2,R1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len (K,R2,R1), len (K,R2,R1),K
(K,R2,R1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len (K,R2,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,R2,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,R2),R1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
R2 /^ R1 is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
(K,R1,R2) is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) FinSequence of (K *) *
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
dom (K,R1,R2) is V33() Element of bool NAT
(K,R1,R2) . R1 is FinSequence-like set
R1 + R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
dom R2 is V33() Element of bool NAT
R1 + R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R2,(R1 + R1)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len (K,R2,(R1 + R1)), len (K,R2,(R1 + R1)),K
(K,R2,(R1 + R1)) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len (K,R2,(R1 + R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 /. (R1 + R1) is FinSequence-like Element of (K *) *
len (K,R2,(R1 + R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,(K,R1,R2),R1) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,R1,R2) /. R1 is FinSequence-like Element of (K *) *
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) (K) FinSequence of (K *) *
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
dom (K,R1) is V33() len R1 -element Element of bool NAT
dom R1 is V33() Element of bool NAT
dom (K,R1) is V33() len R1 -element Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R1) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(K,R1,R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len (K,R1,R2), len (K,R1,R2),K
(K,R1,R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K is non empty set
K * is functional non empty FinSequence-membered FinSequenceSet of K
(K *) * is functional non empty FinSequence-membered FinSequenceSet of K *
R1 is Element of K
R2 is Relation-like NAT -defined (K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like (K) (K) FinSequence of (K *) *
(K,R1,R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of K *
(K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1,R2) is Relation-like NAT -defined K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (K,R2), Sum (K,R2),K
(K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
Sum (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
Seg K is V15() V33() K -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= K ) } is set
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of R1 is non empty non trivial set
the carrier of R1 * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
( the carrier of R1 *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1 *
R2 is Element of the carrier of R1
b2 is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
b1 is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of K,K, the carrier of R1
dom b1 is V33() Element of bool NAT
( the carrier of R1,K,b1) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,b1] is set
{1,b1} is non empty V33() V37() set
{{1,b1},{1}} is non empty V33() V37() set
{[1,b1]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,( the carrier of R1,K,b1),b2) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),b2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,K,b1),b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,K,b1),b2)) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,K,b1),b2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,K,b1),b2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,K,b1),b2)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),b2)), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),b2)), the carrier of R1
Deleting (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,K,b1),b2)),R1,R2) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
Deleting (b1,R1,R2) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
( the carrier of R1,(Deleting (b1,R1,R2))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,(Deleting (b1,R1,R2))] is set
{1,(Deleting (b1,R1,R2))} is non empty V33() V37() set
{{1,(Deleting (b1,R1,R2))},{1}} is non empty V33() V37() set
{[1,(Deleting (b1,R1,R2))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),b2) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),b2)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),b2)), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),b2)), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),b2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),b2)) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),b2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),b2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),b2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),b2)) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,R2,b2) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,b2), Sum ( the carrier of R1,b2), the carrier of R1
( the carrier of R1,b2) is Relation-like NAT -defined NAT -valued Function-like V33() len b2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b2) -tuples_on NAT
len b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,( the carrier of R1,R2,b2)] is set
{1,( the carrier of R1,R2,b2)} is non empty V33() V37() set
{{1,( the carrier of R1,R2,b2)},{1}} is non empty V33() V37() set
{[1,( the carrier of R1,R2,b2)]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,K,b1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,K,b1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,K,b1)) -tuples_on NAT
len ( the carrier of R1,K,b1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,K,b1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
<*(width b1)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
1 -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
[1,(width b1)] is set
{1,(width b1)} is non empty V33() V37() set
{{1,(width b1)},{1}} is non empty V33() V37() set
{[1,(width b1)]} is Relation-like non empty trivial V33() 1 -element set
Sum ( the carrier of R1,( the carrier of R1,K,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) -tuples_on NAT
len ( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
width ( the carrier of R1,R2,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*(width ( the carrier of R1,R2,b2))*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
[1,(width ( the carrier of R1,R2,b2))] is set
{1,(width ( the carrier of R1,R2,b2))} is non empty V33() V37() set
{{1,(width ( the carrier of R1,R2,b2))},{1}} is non empty V33() V37() set
{[1,(width ( the carrier of R1,R2,b2))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,( the carrier of R1,K,b1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,K,b1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,K,b1)) -tuples_on NAT
len b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*(len b1)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
[1,(len b1)] is set
{1,(len b1)} is non empty V33() V37() set
{{1,(len b1)},{1}} is non empty V33() V37() set
{[1,(len b1)]} is Relation-like non empty trivial V33() 1 -element set
Sum ( the carrier of R1,( the carrier of R1,K,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) -tuples_on NAT
( the carrier of R1,( the carrier of R1,K,b1)) ^ ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) is Relation-like NAT -defined NAT -valued Function-like V33() (len ( the carrier of R1,K,b1)) + (len ( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len ( the carrier of R1,K,b1)) + (len ( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b1) + (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,K,b1)) ^ ( the carrier of R1,b2) is Relation-like NAT -defined NAT -valued Function-like V33() (len ( the carrier of R1,K,b1)) + (len b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len ( the carrier of R1,K,b1)) + (len b2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len b1) + (Sum ( the carrier of R1,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) -tuples_on NAT
( the carrier of R1,( the carrier of R1,K,b1)) ^ ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) is Relation-like NAT -defined NAT -valued Function-like V33() (len ( the carrier of R1,K,b1)) + (len ( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(Sum ( the carrier of R1,( the carrier of R1,K,b1))) + (width ( the carrier of R1,R2,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of R1,R2,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*(len ( the carrier of R1,R2,b2))*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
[1,(len ( the carrier of R1,R2,b2))] is set
{1,(len ( the carrier of R1,R2,b2))} is non empty V33() V37() set
{{1,(len ( the carrier of R1,R2,b2))},{1}} is non empty V33() V37() set
{[1,(len ( the carrier of R1,R2,b2))]} is Relation-like non empty trivial V33() 1 -element set
len (Deleting (b1,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
1 -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))), the carrier of R1
Deleting (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))),R1,R2) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))))) is V15() V33() Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) ) } is set
{R1} is non empty trivial V33() V37() 1 -element Element of bool NAT
(Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R1} is V15() V33() Element of bool NAT
{R2} is non empty trivial V33() V37() 1 -element Element of bool NAT
(Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R2} is V15() V33() Element of bool NAT
Segm (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))),((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R1}),((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R2})) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R1}), card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R2}), the carrier of R1
card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R1}) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R2}) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sgm ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R1}) is Relation-like NAT -defined NAT -valued Function-like V33() card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R1}) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R1})) -tuples_on NAT
(card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R1})) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sgm ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R2}) is Relation-like NAT -defined NAT -valued Function-like V33() card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R2}) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R2})) -tuples_on NAT
(card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R2})) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Segm (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))),(Sgm ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R1})),(Sgm ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R2}))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R1}), card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,K,b1),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) \ {R2}), the carrier of R1
( the carrier of R1,R2,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))), Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))), the carrier of R1
( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Deleting (b1,R1,R2))),( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
DelLine (b1,R1) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
width (DelLine (b1,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
DelLine (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,K,b1),b2)),R1) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
DelCol ((DelLine (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,K,b1),b2)),R1)),R2) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
( the carrier of R1,(DelLine (b1,R1))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,(DelLine (b1,R1))] is set
{1,(DelLine (b1,R1))} is non empty V33() V37() set
{{1,(DelLine (b1,R1))},{1}} is non empty V33() V37() set
{[1,(DelLine (b1,R1))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,( the carrier of R1,(DelLine (b1,R1))),b2) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,(DelLine (b1,R1))),b2)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (b1,R1))),b2)), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (b1,R1))),b2)), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (b1,R1))),b2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(DelLine (b1,R1))),b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(DelLine (b1,R1))),b2)) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,(DelLine (b1,R1))),b2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,(DelLine (b1,R1))),b2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (b1,R1))),b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (b1,R1))),b2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(DelLine (b1,R1))),b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(DelLine (b1,R1))),b2)) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (b1,R1))),b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
DelCol (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,(DelLine (b1,R1))),b2)),R2) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
DelCol ((DelLine (b1,R1)),R2) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,(DelCol ((DelLine (b1,R1)),R2))] is set
{1,(DelCol ((DelLine (b1,R1)),R2))} is non empty V33() V37() set
{{1,(DelCol ((DelLine (b1,R1)),R2))},{1}} is non empty V33() V37() set
{[1,(DelCol ((DelLine (b1,R1)),R2))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))),b2) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))),b2)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))),b2)), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))),b2)), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))),b2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))),b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))),b2)) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))),b2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))),b2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))),b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))),b2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))),b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))),b2)) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))),b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
Seg K is V15() V33() K -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= K ) } is set
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of R1 is non empty non trivial set
the carrier of R1 * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
( the carrier of R1 *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1 *
R2 is Element of the carrier of R1
b2 is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,b2) is Relation-like NAT -defined NAT -valued Function-like V33() len b2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b2) -tuples_on NAT
len b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 + (Sum ( the carrier of R1,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 + (Sum ( the carrier of R1,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b1 is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of K,K, the carrier of R1
dom b1 is V33() Element of bool NAT
( the carrier of R1,K,b1) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,b1] is set
{1,b1} is non empty V33() V37() set
{{1,b1},{1}} is non empty V33() V37() set
{[1,b1]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,b2,( the carrier of R1,K,b1)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,K,b1))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,b2,( the carrier of R1,K,b1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,b2,( the carrier of R1,K,b1))) -tuples_on NAT
len ( the carrier of R1,b2,( the carrier of R1,K,b1)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,b2,( the carrier of R1,K,b1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,K,b1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,R2,( the carrier of R1,b2,( the carrier of R1,K,b1))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,K,b1))), Sum ( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,K,b1))), the carrier of R1
Deleting (( the carrier of R1,R2,( the carrier of R1,b2,( the carrier of R1,K,b1))),(R1 + (Sum ( the carrier of R1,b2))),(R2 + (Sum ( the carrier of R1,b2)))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
Deleting (b1,R1,R2) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
( the carrier of R1,(Deleting (b1,R1,R2))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,(Deleting (b1,R1,R2))] is set
{1,(Deleting (b1,R1,R2))} is non empty V33() V37() set
{{1,(Deleting (b1,R1,R2))},{1}} is non empty V33() V37() set
{[1,(Deleting (b1,R1,R2))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,b2,( the carrier of R1,(Deleting (b1,R1,R2)))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,R2,( the carrier of R1,b2,( the carrier of R1,(Deleting (b1,R1,R2))))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,(Deleting (b1,R1,R2))))), Sum ( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,(Deleting (b1,R1,R2))))), the carrier of R1
( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,(Deleting (b1,R1,R2))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,b2,( the carrier of R1,(Deleting (b1,R1,R2)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,b2,( the carrier of R1,(Deleting (b1,R1,R2))))) -tuples_on NAT
len ( the carrier of R1,b2,( the carrier of R1,(Deleting (b1,R1,R2)))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,b2,( the carrier of R1,(Deleting (b1,R1,R2))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,(Deleting (b1,R1,R2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,(Deleting (b1,R1,R2))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,b2,( the carrier of R1,(Deleting (b1,R1,R2)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,b2,( the carrier of R1,(Deleting (b1,R1,R2))))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,(Deleting (b1,R1,R2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,R2,b2) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,b2), Sum ( the carrier of R1,b2), the carrier of R1
( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,( the carrier of R1,R2,b2)] is set
{1,( the carrier of R1,R2,b2)} is non empty V33() V37() set
{{1,( the carrier of R1,R2,b2)},{1}} is non empty V33() V37() set
{[1,( the carrier of R1,R2,b2)]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,b2) is Relation-like NAT -defined NAT -valued Function-like V33() len b2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b2) -tuples_on NAT
len b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,K,b1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,K,b1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,K,b1)) -tuples_on NAT
len ( the carrier of R1,K,b1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,K,b1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
<*(width b1)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
1 -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
[1,(width b1)] is set
{1,(width b1)} is non empty V33() V37() set
{{1,(width b1)},{1}} is non empty V33() V37() set
{[1,(width b1)]} is Relation-like non empty trivial V33() 1 -element set
len ( the carrier of R1,R2,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))) -tuples_on NAT
( the carrier of R1,( the carrier of R1,K,b1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,K,b1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,K,b1)) -tuples_on NAT
<*(len b1)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
[1,(len b1)] is set
{1,(len b1)} is non empty V33() V37() set
{{1,(len b1)},{1}} is non empty V33() V37() set
{[1,(len b1)]} is Relation-like non empty trivial V33() 1 -element set
Sum ( the carrier of R1,( the carrier of R1,K,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,b2) ^ ( the carrier of R1,( the carrier of R1,K,b1)) is Relation-like NAT -defined NAT -valued Function-like V33() (len b2) + (len ( the carrier of R1,K,b1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len b2) + (len ( the carrier of R1,K,b1)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len b1) + (Sum ( the carrier of R1,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) -tuples_on NAT
len ( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) ^ ( the carrier of R1,( the carrier of R1,K,b1)) is Relation-like NAT -defined NAT -valued Function-like V33() (len ( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) + (len ( the carrier of R1,K,b1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len ( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) + (len ( the carrier of R1,K,b1)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b1) + (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) -tuples_on NAT
width ( the carrier of R1,R2,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*(width ( the carrier of R1,R2,b2))*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
[1,(width ( the carrier of R1,R2,b2))] is set
{1,(width ( the carrier of R1,R2,b2))} is non empty V33() V37() set
{{1,(width ( the carrier of R1,R2,b2))},{1}} is non empty V33() V37() set
{[1,(width ( the carrier of R1,R2,b2))]} is Relation-like non empty trivial V33() 1 -element set
Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) ^ ( the carrier of R1,( the carrier of R1,K,b1)) is Relation-like NAT -defined NAT -valued Function-like V33() (len ( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) + (len ( the carrier of R1,K,b1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Sum ( the carrier of R1,( the carrier of R1,K,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum ( the carrier of R1,( the carrier of R1,K,b1))) + (width ( the carrier of R1,R2,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*(len ( the carrier of R1,R2,b2))*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
[1,(len ( the carrier of R1,R2,b2))] is set
{1,(len ( the carrier of R1,R2,b2))} is non empty V33() V37() set
{{1,(len ( the carrier of R1,R2,b2))},{1}} is non empty V33() V37() set
{[1,(len ( the carrier of R1,R2,b2))]} is Relation-like non empty trivial V33() 1 -element set
len (Deleting (b1,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
1 -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))), the carrier of R1
Deleting (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))),(R1 + (Sum ( the carrier of R1,b2))),(R2 + (Sum ( the carrier of R1,b2)))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1)))) is V15() V33() Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))) ) } is set
{(R1 + (Sum ( the carrier of R1,b2)))} is non empty trivial V33() V37() 1 -element Element of bool NAT
(Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R1 + (Sum ( the carrier of R1,b2)))} is V15() V33() Element of bool NAT
{(R2 + (Sum ( the carrier of R1,b2)))} is non empty trivial V33() V37() 1 -element Element of bool NAT
(Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R2 + (Sum ( the carrier of R1,b2)))} is V15() V33() Element of bool NAT
Segm (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))),((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R1 + (Sum ( the carrier of R1,b2)))}),((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R2 + (Sum ( the carrier of R1,b2)))})) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R1 + (Sum ( the carrier of R1,b2)))}), card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R2 + (Sum ( the carrier of R1,b2)))}), the carrier of R1
card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R1 + (Sum ( the carrier of R1,b2)))}) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R2 + (Sum ( the carrier of R1,b2)))}) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sgm ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R1 + (Sum ( the carrier of R1,b2)))}) is Relation-like NAT -defined NAT -valued Function-like V33() card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R1 + (Sum ( the carrier of R1,b2)))}) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R1 + (Sum ( the carrier of R1,b2)))})) -tuples_on NAT
(card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R1 + (Sum ( the carrier of R1,b2)))})) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sgm ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R2 + (Sum ( the carrier of R1,b2)))}) is Relation-like NAT -defined NAT -valued Function-like V33() card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R2 + (Sum ( the carrier of R1,b2)))}) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R2 + (Sum ( the carrier of R1,b2)))})) -tuples_on NAT
(card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R2 + (Sum ( the carrier of R1,b2)))})) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Segm (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))),(Sgm ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R1 + (Sum ( the carrier of R1,b2)))})),(Sgm ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R2 + (Sum ( the carrier of R1,b2)))}))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R1 + (Sum ( the carrier of R1,b2)))}), card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R2 + (Sum ( the carrier of R1,b2)))}), the carrier of R1
Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) is V15() V33() Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) ) } is set
Segm (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))),(Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))))),((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R2 + (Sum ( the carrier of R1,b2)))})) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card (Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))))), card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R2 + (Sum ( the carrier of R1,b2)))}), the carrier of R1
card (Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sgm (Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))))) is Relation-like NAT -defined NAT -valued Function-like V33() card (Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card (Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) -tuples_on NAT
(card (Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Segm (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))),(Sgm (Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))),(Sgm ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R2 + (Sum ( the carrier of R1,b2)))}))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card (Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))))), card ((Seg (Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))))) \ {(R2 + (Sum ( the carrier of R1,b2)))}), the carrier of R1
Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))) is V15() V33() Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) ) } is set
Segm (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))),(Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))))),(Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card (Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))))), card (Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))))), the carrier of R1
card (Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sgm (Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))))) is Relation-like NAT -defined NAT -valued Function-like V33() card (Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card (Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) -tuples_on NAT
(card (Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Segm (( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,K,b1))),(Sgm (Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)))))),(Sgm (Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))))))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card (Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))))), card (Seg (Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))))), the carrier of R1
( the carrier of R1,R2,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))), Sum ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2))), the carrier of R1
( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,(Deleting (b1,R1,R2)))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,R2,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,(Deleting (b1,R1,R2))))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,(Deleting (b1,R1,R2))))), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,(Deleting (b1,R1,R2))))), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,(Deleting (b1,R1,R2))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,(Deleting (b1,R1,R2)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,(Deleting (b1,R1,R2))))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,(Deleting (b1,R1,R2)))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,(Deleting (b1,R1,R2))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,(Deleting (b1,R1,R2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,(Deleting (b1,R1,R2))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,(Deleting (b1,R1,R2)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,(Deleting (b1,R1,R2))))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,b2)),( the carrier of R1,R2,b2)),( the carrier of R1,(Deleting (b1,R1,R2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
DelLine (b1,R1) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
width (DelLine (b1,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
DelLine (( the carrier of R1,R2,( the carrier of R1,b2,( the carrier of R1,K,b1))),(R1 + (Sum ( the carrier of R1,b2)))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
DelCol ((DelLine (( the carrier of R1,R2,( the carrier of R1,b2,( the carrier of R1,K,b1))),(R1 + (Sum ( the carrier of R1,b2))))),(R2 + (Sum ( the carrier of R1,b2)))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
( the carrier of R1,(DelLine (b1,R1))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,(DelLine (b1,R1))] is set
{1,(DelLine (b1,R1))} is non empty V33() V37() set
{{1,(DelLine (b1,R1))},{1}} is non empty V33() V37() set
{[1,(DelLine (b1,R1))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,b2,( the carrier of R1,(DelLine (b1,R1)))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,R2,( the carrier of R1,b2,( the carrier of R1,(DelLine (b1,R1))))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,(DelLine (b1,R1))))), Sum ( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,(DelLine (b1,R1))))), the carrier of R1
( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,(DelLine (b1,R1))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,b2,( the carrier of R1,(DelLine (b1,R1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,b2,( the carrier of R1,(DelLine (b1,R1))))) -tuples_on NAT
len ( the carrier of R1,b2,( the carrier of R1,(DelLine (b1,R1)))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,b2,( the carrier of R1,(DelLine (b1,R1))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,(DelLine (b1,R1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,(DelLine (b1,R1))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,b2,( the carrier of R1,(DelLine (b1,R1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,b2,( the carrier of R1,(DelLine (b1,R1))))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,(DelLine (b1,R1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
DelCol (( the carrier of R1,R2,( the carrier of R1,b2,( the carrier of R1,(DelLine (b1,R1))))),(R2 + (Sum ( the carrier of R1,b2)))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
DelCol ((DelLine (b1,R1)),R2) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,(DelCol ((DelLine (b1,R1)),R2))] is set
{1,(DelCol ((DelLine (b1,R1)),R2))} is non empty V33() V37() set
{{1,(DelCol ((DelLine (b1,R1)),R2))},{1}} is non empty V33() V37() set
{[1,(DelCol ((DelLine (b1,R1)),R2))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,b2,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2)))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,R2,( the carrier of R1,b2,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))))), Sum ( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))))), the carrier of R1
( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,b2,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,b2,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))))) -tuples_on NAT
len ( the carrier of R1,b2,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2)))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,b2,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,b2,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,b2,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,b2,( the carrier of R1,(DelCol ((DelLine (b1,R1)),R2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
dom R1 is V33() Element of bool NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R2 is V33() Element of bool NAT
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 . R1 is set
( the carrier of K,R1,R1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,R1,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1,R1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,R1,R1), len ( the carrier of K,R1,R1), the carrier of K
Det ( the carrier of K,R1,R1) is Element of the carrier of K
R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
dom R2 is V33() Element of bool NAT
R1 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
dom R1 is V33() Element of bool NAT
R2 is set
R2 . R2 is set
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,R1,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,R1,b2), len ( the carrier of K,R1,b2), the carrier of K
Det ( the carrier of K,R1,b2) is Element of the carrier of K
R1 . R2 is set
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
(K,R1) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
dom (K,R1) is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
len (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of R1 is non empty non trivial set
the carrier of R1 * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
R2 is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of K,K, the carrier of R1
( the carrier of R1,K,R2) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1 *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1 *
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
(R1,( the carrier of R1,K,R2)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() len ( the carrier of R1,K,R2) -element FinSequence-like FinSubsequence-like Element of (len ( the carrier of R1,K,R2)) -tuples_on the carrier of R1
len ( the carrier of R1,K,R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,K,R2)) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Det R2 is Element of the carrier of R1
<*(Det R2)*> is Relation-like NAT -defined the carrier of R1 -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like Element of 1 -tuples_on the carrier of R1
1 -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
[1,(Det R2)] is set
{1,(Det R2)} is non empty V33() set
{{1,(Det R2)},{1}} is non empty V33() V37() set
{[1,(Det R2)]} is Relation-like non empty trivial V33() 1 -element set
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,K,R2),1) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of R1,( the carrier of R1,K,R2),1), len ( the carrier of R1,( the carrier of R1,K,R2),1), the carrier of R1
( the carrier of R1,( the carrier of R1,K,R2),1) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
len ( the carrier of R1,( the carrier of R1,K,R2),1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R1,( the carrier of R1,K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (R1,( the carrier of R1,K,R2)) is V33() len ( the carrier of R1,K,R2) -element Element of bool NAT
Seg (len ( the carrier of R1,K,R2)) is non empty V15() V33() len ( the carrier of R1,K,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len ( the carrier of R1,K,R2) ) } is set
(R1,( the carrier of R1,K,R2)) . 1 is set
Det ( the carrier of R1,( the carrier of R1,K,R2),1) is Element of the carrier of R1
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
(K,R1) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like Element of (len R1) -tuples_on the carrier of K
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R1,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
(K,( the carrier of K,R1,R2)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len ( the carrier of K,R1,R2) -element FinSequence-like FinSubsequence-like Element of (len ( the carrier of K,R1,R2)) -tuples_on the carrier of K
len ( the carrier of K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ( the carrier of K,R1,R2)) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(K,R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on the carrier of K
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(K,R1) ^ (K,R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (len R1) + (len R2) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(len R1) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ((K,R1) ^ (K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,R2) is V33() len R2 -element Element of bool NAT
dom R2 is V33() Element of bool NAT
len (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,R1) is V33() len R1 -element Element of bool NAT
dom R1 is V33() Element of bool NAT
len (K,( the carrier of K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ((K,R1) ^ (K,R2)) is V33() (len R1) + (len R2) -element Element of bool NAT
dom (K,( the carrier of K,R1,R2)) is V33() len ( the carrier of K,R1,R2) -element Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,R1,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,R1,R2), len ( the carrier of K,R1,R2), the carrier of K
( the carrier of K,R1,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,R1,R2),R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,( the carrier of K,R1,R2),R2), len ( the carrier of K,( the carrier of K,R1,R2),R2), the carrier of K
( the carrier of K,( the carrier of K,R1,R2),R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,( the carrier of K,R1,R2),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,( the carrier of K,R1,R2),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((K,R1) ^ (K,R2)) . R2 is set
(K,R1) . R2 is set
Det ( the carrier of K,R1,R2) is Element of the carrier of K
Det ( the carrier of K,( the carrier of K,R1,R2),R2) is Element of the carrier of K
(K,( the carrier of K,R1,R2)) . R2 is set
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len (K,R1)) + b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len R1) + b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R2,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,R2,b2), len ( the carrier of K,R2,b2), the carrier of K
( the carrier of K,R2,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,R2,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,R2,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,R1,R2),R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,( the carrier of K,R1,R2),R2), len ( the carrier of K,( the carrier of K,R1,R2),R2), the carrier of K
( the carrier of K,( the carrier of K,R1,R2),R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,( the carrier of K,R1,R2),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,( the carrier of K,R1,R2),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((K,R1) ^ (K,R2)) . R2 is set
(K,R2) . b2 is set
Det ( the carrier of K,R2,b2) is Element of the carrier of K
Det ( the carrier of K,( the carrier of K,R1,R2),R2) is Element of the carrier of K
(K,( the carrier of K,R1,R2)) . R2 is set
((K,R1) ^ (K,R2)) . R2 is set
(K,( the carrier of K,R1,R2)) . R2 is set
((K,R1) ^ (K,R2)) . R2 is set
(K,( the carrier of K,R1,R2)) . R2 is set
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of R1 is non empty non trivial set
the carrier of R1 * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
( the carrier of R1 *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1 *
R2 is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,K,R2) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
Seg K is V15() V33() K -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= K ) } is set
R2 | (Seg K) is Relation-like Seg K -defined NAT -defined ( the carrier of R1 *) * -valued V33() FinSubsequence-like set
(R1,( the carrier of R1,K,R2)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() len ( the carrier of R1,K,R2) -element FinSequence-like FinSubsequence-like Element of (len ( the carrier of R1,K,R2)) -tuples_on the carrier of R1
len ( the carrier of R1,K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ( the carrier of R1,K,R2)) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
(R1,R2) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on the carrier of R1
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
(R1,R2) | K is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(R1,R2) | (Seg K) is Relation-like Seg K -defined NAT -defined the carrier of R1 -valued V33() FinSubsequence-like set
len (R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,K,R2) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,( the carrier of R1,K,R2),( the carrier of R1,K,R2)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
(R1,( the carrier of R1,K,R2)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() len ( the carrier of R1,K,R2) -element FinSequence-like FinSubsequence-like Element of (len ( the carrier of R1,K,R2)) -tuples_on the carrier of R1
len ( the carrier of R1,K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ( the carrier of R1,K,R2)) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
(R1,( the carrier of R1,K,R2)) ^ (R1,( the carrier of R1,K,R2)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() (len ( the carrier of R1,K,R2)) + (len ( the carrier of R1,K,R2)) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(len ( the carrier of R1,K,R2)) + (len ( the carrier of R1,K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R1,( the carrier of R1,K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of R2 is non empty non trivial set
the carrier of R2 * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R2
0. R2 is V61(R2) Element of the carrier of R2
R1 is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of K,K, the carrier of R2
Det R1 is Element of the carrier of R2
R2 is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of R1,R1, the carrier of R2
( the carrier of R2,K,R1,R1,R2) is Relation-like NAT -defined ( the carrier of R2 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R2) ( the carrier of R2) FinSequence of ( the carrier of R2 *) *
( the carrier of R2 *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R2 *
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
<*R2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
<*R1*> ^ <*R2*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R2,( the carrier of R2,K,R1,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R2,K,R1,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R2,K,R1,R1,R2)) -tuples_on NAT
len ( the carrier of R2,K,R1,R1,R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R2,K,R1,R1,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R2,( the carrier of R2,K,R1,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R2,(0. R2),( the carrier of R2,K,R1,R1,R2)) is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R2,( the carrier of R2,K,R1,R1,R2)), Sum ( the carrier of R2,( the carrier of R2,K,R1,R1,R2)), the carrier of R2
Det ( the carrier of R2,(0. R2),( the carrier of R2,K,R1,R1,R2)) is Element of the carrier of R2
Det R2 is Element of the carrier of R2
(Det R1) * (Det R2) is Element of the carrier of R2
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
b2 + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
b12 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
b2n is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of b12,b12, the carrier of R2
Det b2n is Element of the carrier of R2
b1n is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of R2n,R2n, the carrier of R2
( the carrier of R2,b12,R2n,b2n,b1n) is Relation-like NAT -defined ( the carrier of R2 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R2) ( the carrier of R2) FinSequence of ( the carrier of R2 *) *
<*b2n*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,b2n] is set
{1,b2n} is non empty V33() V37() set
{{1,b2n},{1}} is non empty V33() V37() set
{[1,b2n]} is Relation-like non empty trivial V33() 1 -element set
<*b1n*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,b1n] is set
{1,b1n} is non empty V33() V37() set
{{1,b1n},{1}} is non empty V33() V37() set
{[1,b1n]} is Relation-like non empty trivial V33() 1 -element set
<*b2n*> ^ <*b1n*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R2,( the carrier of R2,b12,R2n,b2n,b1n)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R2,b12,R2n,b2n,b1n) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R2,b12,R2n,b2n,b1n)) -tuples_on NAT
len ( the carrier of R2,b12,R2n,b2n,b1n) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R2,b12,R2n,b2n,b1n)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R2,( the carrier of R2,b12,R2n,b2n,b1n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)) is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R2,( the carrier of R2,b12,R2n,b2n,b1n)), Sum ( the carrier of R2,( the carrier of R2,b12,R2n,b2n,b1n)), the carrier of R2
Det ( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)) is Element of the carrier of R2
Det b1n is Element of the carrier of R2
(Det b2n) * (Det b1n) is Element of the carrier of R2
b2 + R2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(b2 + R2n) + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
b12 + R2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
Seg (b12 + R2n) is V15() V33() b12 + R2n -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= b12 + R2n ) } is set
Seg b12 is V15() V33() b12 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= b12 ) } is set
len b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b1n) |-> (0. R2) is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() len b1n -element FinSequence-like FinSubsequence-like Element of (len b1n) -tuples_on the carrier of R2
(len b1n) -tuples_on the carrier of R2 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R2
LaplaceExpL (b2n,1) is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R2
LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1) is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R2
width b2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1)) | b12 is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R2
(LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1)) | (Seg b12) is Relation-like Seg b12 -defined NAT -defined the carrier of R2 -valued V33() FinSubsequence-like set
len (LaplaceExpL (b2n,1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1)) /^ b12 is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R2
((LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1)) | b12) ^ ((LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1)) /^ b12) is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R2
len b2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom b2n is V33() Element of bool NAT
bB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
bB -tuples_on the carrier of R2 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R2
len ((len b1n) |-> (0. R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b2n) + (len b1n) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ((LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1)) | b12) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width ( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b12 -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
i is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
Delete (b2n,1,i) is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of b12 -' 1,b12 -' 1, the carrier of R2
len (Delete (b2n,1,i)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ((LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1)) | b12) is V33() Element of bool NAT
dom (LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1)) is V33() Element of bool NAT
(dom (LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1))) /\ (Seg b12) is V33() Element of bool NAT
L1 is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() bB -element FinSequence-like FinSubsequence-like Element of bB -tuples_on the carrier of R2
dom L1 is V33() bB -element Element of bool NAT
b2n * (1,i) is Element of the carrier of R2
Cofactor (b2n,1,i) is Element of the carrier of R2
power R2 is Relation-like Function-like V21([: the carrier of R2,NAT:], the carrier of R2) Element of bool [:[: the carrier of R2,NAT:], the carrier of R2:]
[: the carrier of R2,NAT:] is Relation-like non trivial V33() set
[:[: the carrier of R2,NAT:], the carrier of R2:] is Relation-like non trivial V33() set
bool [:[: the carrier of R2,NAT:], the carrier of R2:] is non trivial V33() set
1_ R2 is Element of the carrier of R2
1. R2 is V61(R2) Element of the carrier of R2
- (1_ R2) is Element of the carrier of R2
1 + i is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() set
(power R2) . ((- (1_ R2)),(1 + i)) is Element of the carrier of R2
Minor (b2n,1,i) is Element of the carrier of R2
Det (Delete (b2n,1,i)) is Element of the carrier of R2
((power R2) . ((- (1_ R2)),(1 + i))) * (Minor (b2n,1,i)) is Element of the carrier of R2
(b2n * (1,i)) * (Cofactor (b2n,1,i)) is Element of the carrier of R2
L1 . i is set
((b2 + R2n) + 1) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (b2n,1) is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() width b2n -element FinSequence-like FinSubsequence-like Element of (width b2n) -tuples_on the carrier of R2
(width b2n) -tuples_on the carrier of R2 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R2
dom (Line (b2n,1)) is V33() width b2n -element Element of bool NAT
Delete (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1,i) is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of (Sum ( the carrier of R2,( the carrier of R2,b12,R2n,b2n,b1n))) -' 1,(Sum ( the carrier of R2,( the carrier of R2,b12,R2n,b2n,b1n))) -' 1, the carrier of R2
(Sum ( the carrier of R2,( the carrier of R2,b12,R2n,b2n,b1n))) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Deleting (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1,i) is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R2 *
Deleting (b2n,1,i) is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R2 *
( the carrier of R2,(Deleting (b2n,1,i))) is Relation-like NAT -defined ( the carrier of R2 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R2) FinSequence of ( the carrier of R2 *) *
[1,(Deleting (b2n,1,i))] is set
{1,(Deleting (b2n,1,i))} is non empty V33() V37() set
{{1,(Deleting (b2n,1,i))},{1}} is non empty V33() V37() set
{[1,(Deleting (b2n,1,i))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R2,R2n,b1n) is Relation-like NAT -defined ( the carrier of R2 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R2) ( the carrier of R2) FinSequence of ( the carrier of R2 *) *
( the carrier of R2,( the carrier of R2,(Deleting (b2n,1,i))),( the carrier of R2,R2n,b1n)) is Relation-like NAT -defined ( the carrier of R2 *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like ( the carrier of R2) FinSequence of ( the carrier of R2 *) *
( the carrier of R2,(0. R2),( the carrier of R2,( the carrier of R2,(Deleting (b2n,1,i))),( the carrier of R2,R2n,b1n))) is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R2,( the carrier of R2,( the carrier of R2,(Deleting (b2n,1,i))),( the carrier of R2,R2n,b1n))), Sum ( the carrier of R2,( the carrier of R2,( the carrier of R2,(Deleting (b2n,1,i))),( the carrier of R2,R2n,b1n))), the carrier of R2
( the carrier of R2,( the carrier of R2,( the carrier of R2,(Deleting (b2n,1,i))),( the carrier of R2,R2n,b1n))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R2,( the carrier of R2,(Deleting (b2n,1,i))),( the carrier of R2,R2n,b1n)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R2,( the carrier of R2,(Deleting (b2n,1,i))),( the carrier of R2,R2n,b1n))) -tuples_on NAT
len ( the carrier of R2,( the carrier of R2,(Deleting (b2n,1,i))),( the carrier of R2,R2n,b1n)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R2,( the carrier of R2,(Deleting (b2n,1,i))),( the carrier of R2,R2n,b1n))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R2,( the carrier of R2,( the carrier of R2,(Deleting (b2n,1,i))),( the carrier of R2,R2n,b1n))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R2,( the carrier of R2,( the carrier of R2,(Deleting (b2n,1,i))),( the carrier of R2,R2n,b1n))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R2,( the carrier of R2,(Deleting (b2n,1,i))),( the carrier of R2,R2n,b1n)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R2,( the carrier of R2,(Deleting (b2n,1,i))),( the carrier of R2,R2n,b1n))) -tuples_on NAT
Sum ( the carrier of R2,( the carrier of R2,( the carrier of R2,(Deleting (b2n,1,i))),( the carrier of R2,R2n,b1n))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R2,(b12 -' 1),R2n,(Delete (b2n,1,i)),b1n) is Relation-like NAT -defined ( the carrier of R2 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R2) ( the carrier of R2) FinSequence of ( the carrier of R2 *) *
<*(Delete (b2n,1,i))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(Delete (b2n,1,i))] is set
{1,(Delete (b2n,1,i))} is non empty V33() V37() set
{{1,(Delete (b2n,1,i))},{1}} is non empty V33() V37() set
{[1,(Delete (b2n,1,i))]} is Relation-like non empty trivial V33() 1 -element set
<*(Delete (b2n,1,i))*> ^ <*b1n*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R2,(0. R2),( the carrier of R2,(b12 -' 1),R2n,(Delete (b2n,1,i)),b1n)) is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R2,( the carrier of R2,(b12 -' 1),R2n,(Delete (b2n,1,i)),b1n)), Sum ( the carrier of R2,( the carrier of R2,(b12 -' 1),R2n,(Delete (b2n,1,i)),b1n)), the carrier of R2
( the carrier of R2,( the carrier of R2,(b12 -' 1),R2n,(Delete (b2n,1,i)),b1n)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R2,(b12 -' 1),R2n,(Delete (b2n,1,i)),b1n) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R2,(b12 -' 1),R2n,(Delete (b2n,1,i)),b1n)) -tuples_on NAT
len ( the carrier of R2,(b12 -' 1),R2n,(Delete (b2n,1,i)),b1n) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R2,(b12 -' 1),R2n,(Delete (b2n,1,i)),b1n)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R2,( the carrier of R2,(b12 -' 1),R2n,(Delete (b2n,1,i)),b1n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Minor (b2n,1,i)) * (Det b1n) is Element of the carrier of R2
Det ( the carrier of R2,(0. R2),( the carrier of R2,(b12 -' 1),R2n,(Delete (b2n,1,i)),b1n)) is Element of the carrier of R2
Minor (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1,i) is Element of the carrier of R2
Det (Delete (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1,i)) is Element of the carrier of R2
Cofactor (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1,i) is Element of the carrier of R2
((power R2) . ((- (1_ R2)),(1 + i))) * (Minor (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1,i)) is Element of the carrier of R2
(Det b1n) * (Cofactor (b2n,1,i)) is Element of the carrier of R2
( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)) * (1,i) is Element of the carrier of R2
i is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R2 *
( the carrier of R2,i,b1n) is Relation-like NAT -defined ( the carrier of R2 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R2) FinSequence of ( the carrier of R2 *) *
<*i*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,i] is set
{1,i} is non empty V33() V37() set
{{1,i},{1}} is non empty V33() V37() set
{[1,i]} is Relation-like non empty trivial V33() 1 -element set
<*i*> ^ <*b1n*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R2,(0. R2),( the carrier of R2,i,b1n)) is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R2,( the carrier of R2,i,b1n)), Sum ( the carrier of R2,( the carrier of R2,i,b1n)), the carrier of R2
( the carrier of R2,( the carrier of R2,i,b1n)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R2,i,b1n) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R2,i,b1n)) -tuples_on NAT
len ( the carrier of R2,i,b1n) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R2,i,b1n)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R2,( the carrier of R2,i,b1n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R2,( the carrier of R2,i,b1n)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R2,i,b1n) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R2,i,b1n)) -tuples_on NAT
Sum ( the carrier of R2,( the carrier of R2,i,b1n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (( the carrier of R2,(0. R2),( the carrier of R2,i,b1n)),1) is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() width ( the carrier of R2,(0. R2),( the carrier of R2,i,b1n)) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of R2,(0. R2),( the carrier of R2,i,b1n))) -tuples_on the carrier of R2
width ( the carrier of R2,(0. R2),( the carrier of R2,i,b1n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of R2,(0. R2),( the carrier of R2,i,b1n))) -tuples_on the carrier of R2 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R2
(Line (( the carrier of R2,(0. R2),( the carrier of R2,i,b1n)),1)) . i is set
width b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width b1n) |-> (0. R2) is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() width b1n -element FinSequence-like FinSubsequence-like Element of (width b1n) -tuples_on the carrier of R2
(width b1n) -tuples_on the carrier of R2 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R2
(Line (b2n,1)) ^ ((width b1n) |-> (0. R2)) is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() (width b2n) + (width b1n) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R2
(width b2n) + (width b1n) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((Line (b2n,1)) ^ ((width b1n) |-> (0. R2))) . i is set
(Line (b2n,1)) . i is set
((LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1)) | b12) . i is set
(LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1)) . i is set
(b2n * (1,i)) * ((Det b1n) * (Cofactor (b2n,1,i))) is Element of the carrier of R2
(Det b1n) * ((b2n * (1,i)) * (Cofactor (b2n,1,i))) is Element of the carrier of R2
(Det b1n) * L1 is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() bB -element FinSequence-like FinSubsequence-like Element of bB -tuples_on the carrier of R2
(Det b1n) multfield is Relation-like Function-like V21( the carrier of R2, the carrier of R2) Element of bool [: the carrier of R2, the carrier of R2:]
[: the carrier of R2, the carrier of R2:] is Relation-like set
bool [: the carrier of R2, the carrier of R2:] is set
the multF of R2 is Relation-like Function-like V21([: the carrier of R2, the carrier of R2:], the carrier of R2) Element of bool [:[: the carrier of R2, the carrier of R2:], the carrier of R2:]
[:[: the carrier of R2, the carrier of R2:], the carrier of R2:] is Relation-like set
bool [:[: the carrier of R2, the carrier of R2:], the carrier of R2:] is set
id the carrier of R2 is Relation-like the carrier of R2 -defined the carrier of R2 -valued total Element of bool [: the carrier of R2, the carrier of R2:]
K323( the carrier of R2, the carrier of R2, the multF of R2,(Det b1n),(id the carrier of R2)) is Relation-like Function-like V21( the carrier of R2, the carrier of R2) Element of bool [: the carrier of R2, the carrier of R2:]
((Det b1n) multfield) * L1 is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R2
((Det b1n) * L1) . i is set
len ((LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1)) /^ b12) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(b12 + R2n) - b12 is V31() ext-real V141() set
len (Line (b2n,1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
i is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
Seg R2n is V15() V33() R2n -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R2n ) } is set
dom ((len b1n) |-> (0. R2)) is V33() len b1n -element Element of bool NAT
dom ((LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1)) /^ b12) is V33() Element of bool NAT
b12 + i is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
Seg (width ( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n))) is V15() V33() width ( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width ( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)) ) } is set
i + b12 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)) * (1,(i + b12)) is Element of the carrier of R2
(Line (( the carrier of R2,(0. R2),( the carrier of R2,i,b1n)),1)) . (i + b12) is set
(Line (b2n,1)) ^ ((len b1n) |-> (0. R2)) is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() (width b2n) + (len b1n) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R2
(width b2n) + (len b1n) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((Line (b2n,1)) ^ ((len b1n) |-> (0. R2))) . (i + b12) is set
((len b1n) |-> (0. R2)) . i is set
((LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1)) /^ b12) . i is set
((LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1)) /^ b12) /. i is Element of the carrier of R2
(LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1)) /. (i + b12) is Element of the carrier of R2
(LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1)) . (i + b12) is set
Cofactor (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1,(i + b12)) is Element of the carrier of R2
1 + (i + b12) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() set
(power R2) . ((- (1_ R2)),(1 + (i + b12))) is Element of the carrier of R2
Minor (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1,(i + b12)) is Element of the carrier of R2
Delete (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1,(i + b12)) is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of (Sum ( the carrier of R2,( the carrier of R2,b12,R2n,b2n,b1n))) -' 1,(Sum ( the carrier of R2,( the carrier of R2,b12,R2n,b2n,b1n))) -' 1, the carrier of R2
Det (Delete (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1,(i + b12))) is Element of the carrier of R2
((power R2) . ((- (1_ R2)),(1 + (i + b12)))) * (Minor (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1,(i + b12))) is Element of the carrier of R2
(( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)) * (1,(i + b12))) * (Cofactor (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1,(i + b12))) is Element of the carrier of R2
len ((Det b1n) * L1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum (LaplaceExpL (( the carrier of R2,(0. R2),( the carrier of R2,b12,R2n,b2n,b1n)),1)) is Element of the carrier of R2
Sum ((Det b1n) * L1) is Element of the carrier of R2
Sum ((len b1n) |-> (0. R2)) is Element of the carrier of R2
(Sum ((Det b1n) * L1)) + (Sum ((len b1n) |-> (0. R2))) is Element of the carrier of R2
(0. R2) * (0. R2) is Element of the carrier of R2
(len b1n) |-> ((0. R2) * (0. R2)) is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() len b1n -element FinSequence-like FinSubsequence-like Element of (len b1n) -tuples_on the carrier of R2
Sum ((len b1n) |-> ((0. R2) * (0. R2))) is Element of the carrier of R2
(Sum ((Det b1n) * L1)) + (Sum ((len b1n) |-> ((0. R2) * (0. R2)))) is Element of the carrier of R2
(0. R2) * ((len b1n) |-> (0. R2)) is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() len b1n -element FinSequence-like FinSubsequence-like Element of (len b1n) -tuples_on the carrier of R2
(0. R2) multfield is Relation-like Function-like V21( the carrier of R2, the carrier of R2) Element of bool [: the carrier of R2, the carrier of R2:]
K323( the carrier of R2, the carrier of R2, the multF of R2,(0. R2),(id the carrier of R2)) is Relation-like Function-like V21( the carrier of R2, the carrier of R2) Element of bool [: the carrier of R2, the carrier of R2:]
((0. R2) multfield) * ((len b1n) |-> (0. R2)) is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R2
Sum ((0. R2) * ((len b1n) |-> (0. R2))) is Element of the carrier of R2
(Sum ((Det b1n) * L1)) + (Sum ((0. R2) * ((len b1n) |-> (0. R2)))) is Element of the carrier of R2
Sum L1 is Element of the carrier of R2
(Det b1n) * (Sum L1) is Element of the carrier of R2
((Det b1n) * (Sum L1)) + (Sum ((0. R2) * ((len b1n) |-> (0. R2)))) is Element of the carrier of R2
(0. R2) * (Sum ((len b1n) |-> (0. R2))) is Element of the carrier of R2
((Det b1n) * (Sum L1)) + ((0. R2) * (Sum ((len b1n) |-> (0. R2)))) is Element of the carrier of R2
((Det b1n) * (Sum L1)) + (0. R2) is Element of the carrier of R2
(Det b1n) * (Det b2n) is Element of the carrier of R2
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
b12 is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of b2,b2, the carrier of R2
Det b12 is Element of the carrier of R2
R2n is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of b1,b1, the carrier of R2
( the carrier of R2,b2,b1,b12,R2n) is Relation-like NAT -defined ( the carrier of R2 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R2) ( the carrier of R2) FinSequence of ( the carrier of R2 *) *
<*b12*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,b12] is set
{1,b12} is non empty V33() V37() set
{{1,b12},{1}} is non empty V33() V37() set
{[1,b12]} is Relation-like non empty trivial V33() 1 -element set
<*R2n*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R2n] is set
{1,R2n} is non empty V33() V37() set
{{1,R2n},{1}} is non empty V33() V37() set
{[1,R2n]} is Relation-like non empty trivial V33() 1 -element set
<*b12*> ^ <*R2n*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R2,( the carrier of R2,b2,b1,b12,R2n)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R2,b2,b1,b12,R2n) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R2,b2,b1,b12,R2n)) -tuples_on NAT
len ( the carrier of R2,b2,b1,b12,R2n) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R2,b2,b1,b12,R2n)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R2,( the carrier of R2,b2,b1,b12,R2n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R2,(0. R2),( the carrier of R2,b2,b1,b12,R2n)) is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R2,( the carrier of R2,b2,b1,b12,R2n)), Sum ( the carrier of R2,( the carrier of R2,b2,b1,b12,R2n)), the carrier of R2
Det ( the carrier of R2,(0. R2),( the carrier of R2,b2,b1,b12,R2n)) is Element of the carrier of R2
Det R2n is Element of the carrier of R2
(Det b12) * (Det R2n) is Element of the carrier of R2
len b12 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R2,b1,R2n) is Relation-like NAT -defined ( the carrier of R2 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R2) ( the carrier of R2) FinSequence of ( the carrier of R2 *) *
( the carrier of R2,(0. R2),( the carrier of R2,b1,R2n)) is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R2,( the carrier of R2,b1,R2n)), Sum ( the carrier of R2,( the carrier of R2,b1,R2n)), the carrier of R2
( the carrier of R2,( the carrier of R2,b1,R2n)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R2,b1,R2n) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R2,b1,R2n)) -tuples_on NAT
len ( the carrier of R2,b1,R2n) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R2,b1,R2n)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R2,( the carrier of R2,b1,R2n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
{} + b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
1_ R2 is Element of the carrier of R2
1. R2 is V61(R2) Element of the carrier of R2
(Det R2n) * (1_ R2) is Element of the carrier of R2
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
0. K is V61(K) Element of the carrier of K
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(0. K),R1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,R1), Sum ( the carrier of K,R1), the carrier of K
Det ( the carrier of K,(0. K),R1) is Element of the carrier of K
(K,R1) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like Element of (len R1) -tuples_on the carrier of K
(len R1) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
Product (K,R1) is Element of the carrier of K
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(0. K),R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,R2), Sum ( the carrier of K,R2), the carrier of K
Det ( the carrier of K,(0. K),R2) is Element of the carrier of K
(K,R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on the carrier of K
(len R2) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
Product (K,R2) is Element of the carrier of K
( the carrier of K,R2,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
Seg R2 is V15() V33() R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R2 ) } is set
R2 | (Seg R2) is Relation-like Seg R2 -defined NAT -defined ( the carrier of K *) * -valued V33() FinSubsequence-like set
len ( the carrier of K,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R2,(R2 + 1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,R2,(R2 + 1)), len ( the carrier of K,R2,(R2 + 1)), the carrier of K
( the carrier of K,R2,(R2 + 1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,R2,(R2 + 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(0. K),( the carrier of K,R2,R2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,R2,R2)), Sum ( the carrier of K,( the carrier of K,R2,R2)), the carrier of K
( the carrier of K,( the carrier of K,R2,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R2,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R2,R2)) -tuples_on NAT
(len ( the carrier of K,R2,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,R2,(R2 + 1))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,( the carrier of K,R2,(R2 + 1))] is set
{1,( the carrier of K,R2,(R2 + 1))} is non empty V33() V37() set
{{1,( the carrier of K,R2,(R2 + 1))},{1}} is non empty V33() V37() set
{[1,( the carrier of K,R2,(R2 + 1))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of K,( the carrier of K,R2,R2),( the carrier of K,(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,R2,(R2 + 1)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R2,R2))),(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,(0. K),( the carrier of K,R2,R2)),( the carrier of K,R2,(R2 + 1))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
<*( the carrier of K,(0. K),( the carrier of K,R2,R2))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,( the carrier of K,(0. K),( the carrier of K,R2,R2))] is set
{1,( the carrier of K,(0. K),( the carrier of K,R2,R2))} is non empty V33() V37() set
{{1,( the carrier of K,(0. K),( the carrier of K,R2,R2))},{1}} is non empty V33() V37() set
{[1,( the carrier of K,(0. K),( the carrier of K,R2,R2))]} is Relation-like non empty trivial V33() 1 -element set
<*( the carrier of K,R2,(R2 + 1))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*( the carrier of K,(0. K),( the carrier of K,R2,R2))*> ^ <*( the carrier of K,R2,(R2 + 1))*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,(0. K),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R2,R2))),(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,(0. K),( the carrier of K,R2,R2)),( the carrier of K,R2,(R2 + 1)))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R2,R2))),(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,(0. K),( the carrier of K,R2,R2)),( the carrier of K,R2,(R2 + 1)))), Sum ( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R2,R2))),(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,(0. K),( the carrier of K,R2,R2)),( the carrier of K,R2,(R2 + 1)))), the carrier of K
( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R2,R2))),(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,(0. K),( the carrier of K,R2,R2)),( the carrier of K,R2,(R2 + 1)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R2,R2))),(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,(0. K),( the carrier of K,R2,R2)),( the carrier of K,R2,(R2 + 1))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R2,R2))),(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,(0. K),( the carrier of K,R2,R2)),( the carrier of K,R2,(R2 + 1)))) -tuples_on NAT
len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R2,R2))),(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,(0. K),( the carrier of K,R2,R2)),( the carrier of K,R2,(R2 + 1))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R2,R2))),(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,(0. K),( the carrier of K,R2,R2)),( the carrier of K,R2,(R2 + 1)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R2,R2))),(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,(0. K),( the carrier of K,R2,R2)),( the carrier of K,R2,(R2 + 1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,(0. K),( the carrier of K,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,R2,(R2 + 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ( the carrier of K,(0. K),( the carrier of K,R2,R2))) + (len ( the carrier of K,R2,(R2 + 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum ( the carrier of K,( the carrier of K,R2,R2))) + (len ( the carrier of K,R2,(R2 + 1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*(len ( the carrier of K,R2,(R2 + 1)))*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
1 -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
[1,(len ( the carrier of K,R2,(R2 + 1)))] is set
{1,(len ( the carrier of K,R2,(R2 + 1)))} is non empty V33() V37() set
{{1,(len ( the carrier of K,R2,(R2 + 1)))},{1}} is non empty V33() V37() set
{[1,(len ( the carrier of K,R2,(R2 + 1)))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of K,( the carrier of K,R2,R2)) ^ <*(len ( the carrier of K,R2,(R2 + 1)))*> is Relation-like NAT -defined NAT -valued Function-like non empty V33() (len ( the carrier of K,R2,R2)) + 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len ( the carrier of K,R2,R2)) + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
Sum (( the carrier of K,( the carrier of K,R2,R2)) ^ <*(len ( the carrier of K,R2,(R2 + 1)))*>) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,R2,(R2 + 1)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,R2,(R2 + 1))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,R2,(R2 + 1)))) -tuples_on NAT
len ( the carrier of K,(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,R2,(R2 + 1))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,R2,(R2 + 1)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,( the carrier of K,R2,R2)) ^ ( the carrier of K,( the carrier of K,(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,R2,(R2 + 1)))) is Relation-like NAT -defined NAT -valued Function-like V33() (len ( the carrier of K,R2,R2)) + (len ( the carrier of K,(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,R2,(R2 + 1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len ( the carrier of K,R2,R2)) + (len ( the carrier of K,(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,R2,(R2 + 1)))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
Sum (( the carrier of K,( the carrier of K,R2,R2)) ^ ( the carrier of K,( the carrier of K,(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,R2,(R2 + 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Det ( the carrier of K,(0. K),( the carrier of K,R2,R2)) is Element of the carrier of K
Det ( the carrier of K,R2,(R2 + 1)) is Element of the carrier of K
(Det ( the carrier of K,(0. K),( the carrier of K,R2,R2))) * (Det ( the carrier of K,R2,(R2 + 1))) is Element of the carrier of K
(K,( the carrier of K,R2,R2)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len ( the carrier of K,R2,R2) -element FinSequence-like FinSubsequence-like Element of (len ( the carrier of K,R2,R2)) -tuples_on the carrier of K
(len ( the carrier of K,R2,R2)) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
Product (K,( the carrier of K,R2,R2)) is Element of the carrier of K
(Product (K,( the carrier of K,R2,R2))) * (Det ( the carrier of K,R2,(R2 + 1))) is Element of the carrier of K
<*(Det ( the carrier of K,R2,(R2 + 1)))*> is Relation-like NAT -defined the carrier of K -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like Element of 1 -tuples_on the carrier of K
1 -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
[1,(Det ( the carrier of K,R2,(R2 + 1)))] is set
{1,(Det ( the carrier of K,R2,(R2 + 1)))} is non empty V33() set
{{1,(Det ( the carrier of K,R2,(R2 + 1)))},{1}} is non empty V33() V37() set
{[1,(Det ( the carrier of K,R2,(R2 + 1)))]} is Relation-like non empty trivial V33() 1 -element set
(K,( the carrier of K,R2,R2)) ^ <*(Det ( the carrier of K,R2,(R2 + 1)))*> is Relation-like NAT -defined the carrier of K -valued Function-like non empty V33() (len ( the carrier of K,R2,R2)) + 1 -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Product ((K,( the carrier of K,R2,R2)) ^ <*(Det ( the carrier of K,R2,(R2 + 1)))*>) is Element of the carrier of K
(K,( the carrier of K,(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,R2,(R2 + 1)))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len ( the carrier of K,(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,R2,(R2 + 1))) -element FinSequence-like FinSubsequence-like Element of (len ( the carrier of K,(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,R2,(R2 + 1)))) -tuples_on the carrier of K
(len ( the carrier of K,(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,R2,(R2 + 1)))) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(K,( the carrier of K,R2,R2)) ^ (K,( the carrier of K,(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,R2,(R2 + 1)))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (len ( the carrier of K,R2,R2)) + (len ( the carrier of K,(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,R2,(R2 + 1)))) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Product ((K,( the carrier of K,R2,R2)) ^ (K,( the carrier of K,(len ( the carrier of K,R2,(R2 + 1))),( the carrier of K,R2,(R2 + 1))))) is Element of the carrier of K
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(0. K),R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,R2), Sum ( the carrier of K,R2), the carrier of K
Det ( the carrier of K,(0. K),R2) is Element of the carrier of K
(K,R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on the carrier of K
(len R2) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
Product (K,R2) is Element of the carrier of K
1_ K is Element of the carrier of K
1. K is V61(K) Element of the carrier of K
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of R1 is non empty non trivial set
the carrier of R1 * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
0. R1 is V61(R1) Element of the carrier of R1
R2 is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
( the carrier of R1,R2,R1) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1 *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1 *
<*R2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
<*R2*> ^ <*R1*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R1,(0. R1),( the carrier of R1,R2,R1)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,R2,R1)), Sum ( the carrier of R1,( the carrier of R1,R2,R1)), the carrier of R1
( the carrier of R1,( the carrier of R1,R2,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,R2,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,R2,R1)) -tuples_on NAT
len ( the carrier of R1,R2,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,R2,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,R2,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,R2,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,R2,R1)) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of K,K, the carrier of R1
Det R2 is Element of the carrier of R1
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
b2 + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
b12 is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
len b12 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width b12 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,b12,R1) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
<*b12*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,b12] is set
{1,b12} is non empty V33() V37() set
{{1,b12},{1}} is non empty V33() V37() set
{[1,b12]} is Relation-like non empty trivial V33() 1 -element set
<*b12*> ^ <*R1*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R1,(0. R1),( the carrier of R1,b12,R1)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,b12,R1)), Sum ( the carrier of R1,( the carrier of R1,b12,R1)), the carrier of R1
( the carrier of R1,( the carrier of R1,b12,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,b12,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,b12,R1)) -tuples_on NAT
len ( the carrier of R1,b12,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,b12,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,b12,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,b12,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,b12,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,b12,R1)) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,b12,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b12) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width b12) is V15() V33() width b12 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width b12 ) } is set
b12 ^ R1 is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1 *
len (b12 ^ R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width b12) + (width R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
b2n is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of R2n,R2n, the carrier of R1
Det b2n is Element of the carrier of R1
len b2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
LaplaceExpC (b2n,1) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
len (LaplaceExpC (b2n,1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
1 + {} is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
Seg R2n is V15() V33() R2n -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R2n ) } is set
width b2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b2n) |-> (0. R1) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() len b2n -element FinSequence-like FinSubsequence-like Element of (len b2n) -tuples_on the carrier of R1
(len b2n) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
bB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
dom (LaplaceExpC (b2n,1)) is V33() Element of bool NAT
(LaplaceExpC (b2n,1)) . bB is set
b2n * (bB,1) is Element of the carrier of R1
Cofactor (b2n,bB,1) is Element of the carrier of R1
power R1 is Relation-like Function-like V21([: the carrier of R1,NAT:], the carrier of R1) Element of bool [:[: the carrier of R1,NAT:], the carrier of R1:]
[: the carrier of R1,NAT:] is Relation-like non trivial V33() set
[:[: the carrier of R1,NAT:], the carrier of R1:] is Relation-like non trivial V33() set
bool [:[: the carrier of R1,NAT:], the carrier of R1:] is non trivial V33() set
1_ R1 is Element of the carrier of R1
1. R1 is V61(R1) Element of the carrier of R1
- (1_ R1) is Element of the carrier of R1
bB + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() set
(power R1) . ((- (1_ R1)),(bB + 1)) is Element of the carrier of R1
Minor (b2n,bB,1) is Element of the carrier of R1
R2n -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Delete (b2n,bB,1) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of R2n -' 1,R2n -' 1, the carrier of R1
Det (Delete (b2n,bB,1)) is Element of the carrier of R1
((power R1) . ((- (1_ R1)),(bB + 1))) * (Minor (b2n,bB,1)) is Element of the carrier of R1
(b2n * (bB,1)) * (Cofactor (b2n,bB,1)) is Element of the carrier of R1
Line (b2n,bB) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width b2n -element FinSequence-like FinSubsequence-like Element of (width b2n) -tuples_on the carrier of R1
(width b2n) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
(Line (b2n,bB)) . 1 is set
dom (b12 ^ R1) is V33() Element of bool NAT
dom b12 is V33() Element of bool NAT
Seg b2 is V15() V33() b2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= b2 ) } is set
1 + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
Seg (b2 + 1) is non empty V15() V33() b2 + 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= b2 + 1 ) } is set
{1} is non empty trivial V33() V37() 1 -element Element of bool NAT
(Seg R2n) \ {1} is V15() V33() Element of bool NAT
card ((Seg R2n) \ {1}) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
card (Seg R2n) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
card (Seg 1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(card (Seg R2n)) - (card (Seg 1)) is V31() ext-real V141() set
(card (Seg R2n)) - 1 is V31() ext-real V141() set
R2n - 1 is V31() ext-real V141() set
b2 + (width R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(b2 + (width R1)) + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
((b2 + (width R1)) + 1) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (card ((Seg R2n) \ {1})) is V15() V33() card ((Seg R2n) \ {1}) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= card ((Seg R2n) \ {1}) ) } is set
Deleting (b2n,bB,1) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
Segm (b2n,((Seg R2n) \ {1}),((Seg R2n) \ {1})) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card ((Seg R2n) \ {1}), card ((Seg R2n) \ {1}), the carrier of R1
Sgm ((Seg R2n) \ {1}) is Relation-like NAT -defined NAT -valued Function-like V33() card ((Seg R2n) \ {1}) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (card ((Seg R2n) \ {1})) -tuples_on NAT
(card ((Seg R2n) \ {1})) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Segm (b2n,(Sgm ((Seg R2n) \ {1})),(Sgm ((Seg R2n) \ {1}))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of card ((Seg R2n) \ {1}), card ((Seg R2n) \ {1}), the carrier of R1
Col ((Delete (b2n,bB,1)),1) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() len (Delete (b2n,bB,1)) -element FinSequence-like FinSubsequence-like Element of (len (Delete (b2n,bB,1))) -tuples_on the carrier of R1
len (Delete (b2n,bB,1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (Delete (b2n,bB,1))) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
(Sgm ((Seg R2n) \ {1})) . 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
Col (b2n,((Sgm ((Seg R2n) \ {1})) . 1)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() len b2n -element FinSequence-like FinSubsequence-like Element of (len b2n) -tuples_on the carrier of R1
(Col (b2n,((Sgm ((Seg R2n) \ {1})) . 1))) * (Sgm ((Seg R2n) \ {1})) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() Element of bool [:NAT, the carrier of R1:]
[:NAT, the carrier of R1:] is Relation-like non trivial V33() set
bool [:NAT, the carrier of R1:] is non trivial V33() set
(len R1) |-> (0. R1) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like Element of (len R1) -tuples_on the carrier of R1
(len R1) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
dom ((len R1) |-> (0. R1)) is V33() len R1 -element Element of bool NAT
Seg (len R1) is V15() V33() len R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R1 ) } is set
1 + (card ((Seg R2n) \ {1})) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
Col (b12,2) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() len b12 -element FinSequence-like FinSubsequence-like Element of (len b12) -tuples_on the carrier of R1
(len b12) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
len (Col (b12,2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
bAbB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (R2n -' 1) is V15() V33() R2n -' 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R2n -' 1 ) } is set
dom (Sgm ((Seg R2n) \ {1})) is V33() card ((Seg R2n) \ {1}) -element Element of bool NAT
(Col ((Delete (b2n,bB,1)),1)) . bAbB is set
(Sgm ((Seg R2n) \ {1})) . bAbB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(Col (b2n,((Sgm ((Seg R2n) \ {1})) . 1))) . ((Sgm ((Seg R2n) \ {1})) . bAbB) is set
Col (b2n,(1 + 1)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() len b2n -element FinSequence-like FinSubsequence-like Element of (len b2n) -tuples_on the carrier of R1
(Col (b2n,(1 + 1))) . ((Sgm ((Seg R2n) \ {1})) . bAbB) is set
bAbB + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(Col (b2n,(1 + 1))) . (bAbB + 1) is set
(Col (b12,2)) ^ ((len R1) |-> (0. R1)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() (len b12) + (len R1) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(len b12) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((Col (b12,2)) ^ ((len R1) |-> (0. R1))) . (bAbB + 1) is set
((len R1) |-> (0. R1)) . bAbB is set
DelLine (b12,bB) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
DelCol ((DelLine (b12,bB)),1) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
(b2 + 1) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b12) - 1 is V31() ext-real V141() set
len (DelCol ((DelLine (b12,bB)),1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (DelLine (b12,bB)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (DelLine (b12,bB)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (DelCol ((DelLine (b12,bB)),1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width b12) -' 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Deleting (b2n,bB,1) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
DelLine (b2n,bB) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
DelCol ((DelLine (b2n,bB)),1) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
( the carrier of R1,(DelLine (b12,bB))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,(DelLine (b12,bB))] is set
{1,(DelLine (b12,bB))} is non empty V33() V37() set
{{1,(DelLine (b12,bB))},{1}} is non empty V33() V37() set
{[1,(DelLine (b12,bB))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,R1) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,( the carrier of R1,(DelLine (b12,bB))),( the carrier of R1,R1)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,(DelLine (b12,bB))),( the carrier of R1,R1))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (b12,bB))),( the carrier of R1,R1))), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (b12,bB))),( the carrier of R1,R1))), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (b12,bB))),( the carrier of R1,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(DelLine (b12,bB))),( the carrier of R1,R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(DelLine (b12,bB))),( the carrier of R1,R1))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,(DelLine (b12,bB))),( the carrier of R1,R1)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,(DelLine (b12,bB))),( the carrier of R1,R1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (b12,bB))),( the carrier of R1,R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (b12,bB))),( the carrier of R1,R1))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(DelLine (b12,bB))),( the carrier of R1,R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(DelLine (b12,bB))),( the carrier of R1,R1))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(DelLine (b12,bB))),( the carrier of R1,R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
DelCol (( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,(DelLine (b12,bB))),( the carrier of R1,R1))),1) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
( the carrier of R1,(DelCol ((DelLine (b12,bB)),1)),R1) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
<*(DelCol ((DelLine (b12,bB)),1))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(DelCol ((DelLine (b12,bB)),1))] is set
{1,(DelCol ((DelLine (b12,bB)),1))} is non empty V33() V37() set
{{1,(DelCol ((DelLine (b12,bB)),1))},{1}} is non empty V33() V37() set
{[1,(DelCol ((DelLine (b12,bB)),1))]} is Relation-like non empty trivial V33() 1 -element set
<*(DelCol ((DelLine (b12,bB)),1))*> ^ <*R1*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R1,(0. R1),( the carrier of R1,(DelCol ((DelLine (b12,bB)),1)),R1)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b12,bB)),1)),R1)), Sum ( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b12,bB)),1)),R1)), the carrier of R1
( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b12,bB)),1)),R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,(DelCol ((DelLine (b12,bB)),1)),R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,(DelCol ((DelLine (b12,bB)),1)),R1)) -tuples_on NAT
len ( the carrier of R1,(DelCol ((DelLine (b12,bB)),1)),R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,(DelCol ((DelLine (b12,bB)),1)),R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b12,bB)),1)),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b12,bB)),1)),R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,(DelCol ((DelLine (b12,bB)),1)),R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,(DelCol ((DelLine (b12,bB)),1)),R1)) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,(DelCol ((DelLine (b12,bB)),1)),R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
bAB is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
bAB + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
dom R1 is V33() Element of bool NAT
(width b12) |-> (0. R1) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width b12 -element FinSequence-like FinSubsequence-like Element of (width b12) -tuples_on the carrier of R1
(width b12) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
dom ((width b12) |-> (0. R1)) is V33() width b12 -element Element of bool NAT
bA is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len b12) + bA is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
bA is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len b12) + bA is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (R1,bA) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of R1
(width R1) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
((width b12) |-> (0. R1)) ^ (Line (R1,bA)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() (width b12) + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(width b12) + (width R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(((width b12) |-> (0. R1)) ^ (Line (R1,bA))) . 1 is set
((width b12) |-> (0. R1)) . 1 is set
dom b12 is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
((len b2n) |-> (0. R1)) . bB is set
len ((len b2n) |-> (0. R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(0. R1) * (0. R1) is Element of the carrier of R1
(len b2n) |-> ((0. R1) * (0. R1)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() len b2n -element FinSequence-like FinSubsequence-like Element of (len b2n) -tuples_on the carrier of R1
Sum (LaplaceExpC (b2n,1)) is Element of the carrier of R1
(0. R1) * ((len b2n) |-> (0. R1)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() len b2n -element FinSequence-like FinSubsequence-like Element of (len b2n) -tuples_on the carrier of R1
(0. R1) multfield is Relation-like Function-like V21( the carrier of R1, the carrier of R1) Element of bool [: the carrier of R1, the carrier of R1:]
[: the carrier of R1, the carrier of R1:] is Relation-like set
bool [: the carrier of R1, the carrier of R1:] is set
the multF of R1 is Relation-like Function-like V21([: the carrier of R1, the carrier of R1:], the carrier of R1) Element of bool [:[: the carrier of R1, the carrier of R1:], the carrier of R1:]
[:[: the carrier of R1, the carrier of R1:], the carrier of R1:] is Relation-like set
bool [:[: the carrier of R1, the carrier of R1:], the carrier of R1:] is set
id the carrier of R1 is Relation-like the carrier of R1 -defined the carrier of R1 -valued total Element of bool [: the carrier of R1, the carrier of R1:]
K323( the carrier of R1, the carrier of R1, the multF of R1,(0. R1),(id the carrier of R1)) is Relation-like Function-like V21( the carrier of R1, the carrier of R1) Element of bool [: the carrier of R1, the carrier of R1:]
((0. R1) multfield) * ((len b2n) |-> (0. R1)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
Sum ((0. R1) * ((len b2n) |-> (0. R1))) is Element of the carrier of R1
Sum ((len b2n) |-> (0. R1)) is Element of the carrier of R1
(0. R1) * (Sum ((len b2n) |-> (0. R1))) is Element of the carrier of R1
b2 is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
len b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,b2,R1) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
<*b2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,b2] is set
{1,b2} is non empty V33() V37() set
{{1,b2},{1}} is non empty V33() V37() set
{[1,b2]} is Relation-like non empty trivial V33() 1 -element set
<*b2*> ^ <*R1*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R1,(0. R1),( the carrier of R1,b2,R1)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,b2,R1)), Sum ( the carrier of R1,( the carrier of R1,b2,R1)), the carrier of R1
( the carrier of R1,( the carrier of R1,b2,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,b2,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,b2,R1)) -tuples_on NAT
len ( the carrier of R1,b2,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,b2,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,b2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,b2,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,b2,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,b2,R1)) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,b2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len b2) is V15() V33() len b2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len b2 ) } is set
width R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width b2) + (width R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b2) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
b12 is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of b1,b1, the carrier of R1
Det b12 is Element of the carrier of R1
width b12 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len b12 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len b12) is V15() V33() len b12 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len b12 ) } is set
dom b2 is V33() Element of bool NAT
Line (b12,(len b2)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width b12 -element FinSequence-like FinSubsequence-like Element of (width b12) -tuples_on the carrier of R1
(width b12) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Line (b2,(len b2)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width b2 -element FinSequence-like FinSubsequence-like Element of (width b2) -tuples_on the carrier of R1
(width b2) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
(width R1) |-> (0. R1) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of R1
(width R1) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
(Line (b2,(len b2))) ^ ((width R1) |-> (0. R1)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() (width b2) + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
(width b2) + (width R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*> the carrier of R1 is Relation-like non-empty empty-yielding NAT -defined RAT -valued the carrier of R1 -valued Function-like functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() FinSequence of the carrier of R1
(<*> the carrier of R1) ^ ((width R1) |-> (0. R1)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() {} + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
{} + (width R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(0. R1) * (Line (b12,(len b2))) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width b12 -element FinSequence-like FinSubsequence-like Element of (width b12) -tuples_on the carrier of R1
(0. R1) multfield is Relation-like Function-like V21( the carrier of R1, the carrier of R1) Element of bool [: the carrier of R1, the carrier of R1:]
[: the carrier of R1, the carrier of R1:] is Relation-like set
bool [: the carrier of R1, the carrier of R1:] is set
the multF of R1 is Relation-like Function-like V21([: the carrier of R1, the carrier of R1:], the carrier of R1) Element of bool [:[: the carrier of R1, the carrier of R1:], the carrier of R1:]
[:[: the carrier of R1, the carrier of R1:], the carrier of R1:] is Relation-like set
bool [:[: the carrier of R1, the carrier of R1:], the carrier of R1:] is set
id the carrier of R1 is Relation-like the carrier of R1 -defined the carrier of R1 -valued total Element of bool [: the carrier of R1, the carrier of R1:]
K323( the carrier of R1, the carrier of R1, the multF of R1,(0. R1),(id the carrier of R1)) is Relation-like Function-like V21( the carrier of R1, the carrier of R1) Element of bool [: the carrier of R1, the carrier of R1:]
((0. R1) multfield) * (Line (b12,(len b2))) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
ReplaceLine (b12,(len b2),((0. R1) * (Line (b12,(len b2))))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of b1,b1, the carrier of R1
Det (ReplaceLine (b12,(len b2),((0. R1) * (Line (b12,(len b2)))))) is Element of the carrier of R1
(0. R1) * (Det b12) is Element of the carrier of R1
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of R1 is non empty non trivial set
the carrier of R1 * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
( the carrier of R1 *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1 *
0. R1 is V61(R1) Element of the carrier of R1
R2 is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of R1,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
( the carrier of R1,(0. R1),R2) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,R2), Sum ( the carrier of R1,R2), the carrier of R1
Sum ( the carrier of R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum ( the carrier of R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len R2) is V15() V33() len R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R2 ) } is set
dom R2 is V33() Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of R1,R2) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of R1,R2) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 - 1 is V31() ext-real V141() set
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,b2,R2) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
Seg b2 is V15() V33() b2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= b2 ) } is set
R2 | (Seg b2) is Relation-like Seg b2 -defined NAT -defined ( the carrier of R1 *) * -valued V33() FinSubsequence-like set
len ( the carrier of R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ( the carrier of R1,R2) is V33() len R2 -element Element of bool NAT
( the carrier of R1,R2,R2) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
width ( the carrier of R1,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,(0. R1),( the carrier of R1,b2,R2)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,b2,R2)), Sum ( the carrier of R1,( the carrier of R1,b2,R2)), the carrier of R1
( the carrier of R1,( the carrier of R1,b2,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,b2,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,b2,R2)) -tuples_on NAT
len ( the carrier of R1,b2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ( the carrier of R1,b2,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,b2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,b2,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,b2,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,b2,R2)) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,b2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,R2,R2) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,R2,R2)), Sum ( the carrier of R1,( the carrier of R1,R2,R2)), the carrier of R1
( the carrier of R1,( the carrier of R1,R2,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,R2,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,R2,R2)) -tuples_on NAT
len ( the carrier of R1,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ( the carrier of R1,R2,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,R2,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,R2,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,R2,R2)) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
<*( the carrier of R1,R2,R2)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,( the carrier of R1,R2,R2)] is set
{1,( the carrier of R1,R2,R2)} is non empty V33() V37() set
{{1,( the carrier of R1,R2,R2)},{1}} is non empty V33() V37() set
{[1,( the carrier of R1,R2,R2)]} is Relation-like non empty trivial V33() 1 -element set
<*( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))] is set
{1,( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))} is non empty V33() V37() set
{{1,( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))},{1}} is non empty V33() V37() set
{[1,( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))]} is Relation-like non empty trivial V33() 1 -element set
<*( the carrier of R1,R2,R2)*> ^ <*( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2 + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
( the carrier of R1,R2) | b2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
( the carrier of R1,R2) | (Seg b2) is Relation-like Seg b2 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
len (( the carrier of R1,R2) | b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (( the carrier of R1,R2) | b2) is V33() Element of bool NAT
len ( the carrier of R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,R2) | b2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
( the carrier of R1,R2) | (Seg b2) is Relation-like Seg b2 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
len (( the carrier of R1,R2) | b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (( the carrier of R1,R2) | b2) is V33() Element of bool NAT
b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of R1,R2) . b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of R1,R2) . b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of R1,( the carrier of R1,b2,R2)) . b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(( the carrier of R1,R2) | b2) . b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(( the carrier of R1,R2) | b2) . b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of R1,( the carrier of R1,b2,R2)) . b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
ab is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of K,K, the carrier of R1
Det ab is Element of the carrier of R1
( the carrier of R1,(b2 + 1),R2) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
Seg (b2 + 1) is non empty V15() V33() b2 + 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= b2 + 1 ) } is set
R2 | (Seg (b2 + 1)) is Relation-like Seg (b2 + 1) -defined NAT -defined ( the carrier of R1 *) * -valued V33() FinSubsequence-like set
( the carrier of R1,( the carrier of R1,(b2 + 1),R2),( the carrier of R1,R2,R2)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,(b2 + 1),R2),( the carrier of R1,R2,R2))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(b2 + 1),R2),( the carrier of R1,R2,R2))), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(b2 + 1),R2),( the carrier of R1,R2,R2))), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,(b2 + 1),R2),( the carrier of R1,R2,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(b2 + 1),R2),( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(b2 + 1),R2),( the carrier of R1,R2,R2))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,(b2 + 1),R2),( the carrier of R1,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,(b2 + 1),R2),( the carrier of R1,R2,R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(b2 + 1),R2),( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,(b2 + 1),R2),( the carrier of R1,R2,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(b2 + 1),R2),( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(b2 + 1),R2),( the carrier of R1,R2,R2))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(b2 + 1),R2),( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,R2,R2)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,R2,R2))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,R2,R2))),( the carrier of R1,R2,R2)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,R2,R2))),( the carrier of R1,R2,R2))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,R2,R2))),( the carrier of R1,R2,R2))), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,R2,R2))),( the carrier of R1,R2,R2))), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,R2,R2))),( the carrier of R1,R2,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,R2,R2))),( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,R2,R2))),( the carrier of R1,R2,R2))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,R2,R2))),( the carrier of R1,R2,R2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,R2,R2))),( the carrier of R1,R2,R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,R2,R2))),( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,R2,R2))),( the carrier of R1,R2,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,R2,R2))),( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,R2,R2))),( the carrier of R1,R2,R2))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,R2,R2))),( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,b2,R2),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b1n is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,b2,R2)), Sum ( the carrier of R1,( the carrier of R1,b2,R2)), the carrier of R1
( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,b1n] is set
{1,b1n} is non empty V33() V37() set
{{1,b1n},{1}} is non empty V33() V37() set
{[1,b1n]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
[1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))] is set
{1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))} is non empty V33() V37() set
{{1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))},{1}} is non empty V33() V37() set
{[1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))))), Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))))), the carrier of R1
( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))))) -tuples_on NAT
len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,( the carrier of R1,(Sum ( the carrier of R1,( the carrier of R1,b2,R2))),b1n),( the carrier of R1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,( the carrier of R1,R2,R2)),( the carrier of R1,R2,R2)))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,b1n,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
<*b1n*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))))] is set
{1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))))} is non empty V33() V37() set
{{1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))))},{1}} is non empty V33() V37() set
{[1,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))))]} is Relation-like non empty trivial V33() 1 -element set
<*b1n*> ^ <*( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))))*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R1,(0. R1),( the carrier of R1,b1n,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))))) is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R1,( the carrier of R1,b1n,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))))), Sum ( the carrier of R1,( the carrier of R1,b1n,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))))), the carrier of R1
( the carrier of R1,( the carrier of R1,b1n,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,b1n,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,b1n,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))))) -tuples_on NAT
len ( the carrier of R1,b1n,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R1,b1n,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R1,( the carrier of R1,b1n,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R1,( the carrier of R1,b1n,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R1,b1n,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R1,b1n,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))))) -tuples_on NAT
Sum ( the carrier of R1,( the carrier of R1,b1n,( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ab is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width ( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width b1n) + (width ( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width ab is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b1n) + (len ( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ( the carrier of R1,R2) is V33() len R2 -element Element of bool NAT
len ( the carrier of R1,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
bB is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))), len ( the carrier of R1,(0. R1),( the carrier of R1,( the carrier of R1,R2,R2),( the carrier of R1,(0. R1),( the carrier of R1,R2,R2)))), the carrier of R1
Det bB is Element of the carrier of R1
Det b1n is Element of the carrier of R1
(Det b1n) * (0. R1) is Element of the carrier of R1
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
dom R1 is V33() Element of bool NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R2 is V33() Element of bool NAT
rng R2 is V33() set
R1 is set
R2 is set
R2 . R2 is set
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 . b2 is set
R1 . b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
1. (K,(R1 . b2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of R1 . b2,R1 . b2, the carrier of K
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of ( the carrier of K *) *
dom R1 is V33() Element of bool NAT
R1 . R2 is FinSequence-like set
R1 . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
1. (K,(R1 . R2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of R1 . R2,R1 . R2, the carrier of K
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
dom R2 is V33() Element of bool NAT
( the carrier of K,R2,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R1 . b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
1. (K,(R1 . b2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of R1 . b2,R1 . b2, the carrier of K
b2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
dom b2 is V33() Element of bool NAT
b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,b2,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,b2,b1), len ( the carrier of K,b2,b1), the carrier of K
( the carrier of K,b2,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,b2,b1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 . b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
1. (K,(R1 . b1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of R1 . b1,R1 . b1, the carrier of K
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
dom R2 is V33() Element of bool NAT
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
dom R1 is V33() Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,R2,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,R2,R2), len ( the carrier of K,R2,R2), the carrier of K
( the carrier of K,R2,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
1. (K,(R1 . R2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of R1 . R2,R1 . R2, the carrier of K
( the carrier of K,R1,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,R1,R2), len ( the carrier of K,R1,R2), the carrier of K
( the carrier of K,R1,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,R1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
( the carrier of K,(K,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1)) -tuples_on NAT
len (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,(K,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1)) -tuples_on NAT
dom (K,R1) is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
dom ( the carrier of K,(K,R1)) is V33() len (K,R1) -element Element of bool NAT
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,(K,R1)) . R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,(K,R1),R1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,(K,R1),R1), len ( the carrier of K,(K,R1),R1), the carrier of K
( the carrier of K,(K,R1),R1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,(K,R1),R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,(K,R1),R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 . R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
1. (K,(R1 . R1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of R1 . R1,R1 . R1, the carrier of K
len (1. (K,(R1 . R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ( the carrier of K,(K,R1)) is V33() len (K,R1) -element Element of bool NAT
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,(K,R1)) . R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,(K,R1),R1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,(K,R1),R1), len ( the carrier of K,(K,R1),R1), the carrier of K
( the carrier of K,(K,R1),R1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,(K,R1),R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width ( the carrier of K,(K,R1),R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 . R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
1. (K,(R1 . R1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of R1 . R1,R1 . R1, the carrier of K
width (1. (K,(R1 . R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*R1*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
1 -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
(K,<*R1*>) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
1. (K,R1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of R1,R1, the carrier of K
( the carrier of K,R1,(1. (K,R1))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,(1. (K,R1))] is set
{1,(1. (K,R1))} is non empty V33() V37() set
{{1,(1. (K,R1))},{1}} is non empty V33() V37() set
{[1,(1. (K,R1))]} is Relation-like non empty trivial V33() 1 -element set
dom (K,<*R1*>) is V33() Element of bool NAT
dom <*R1*> is non empty trivial V33() 1 -element Element of bool NAT
( the carrier of K,(K,<*R1*>),1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,(K,<*R1*>),1), len ( the carrier of K,(K,<*R1*>),1), the carrier of K
( the carrier of K,(K,<*R1*>),1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,(K,<*R1*>),1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*R1*> . 1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
1. (K,(<*R1*> . 1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of <*R1*> . 1,<*R1*> . 1, the carrier of K
len (K,<*R1*>) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,R1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
R1 ^ R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,(R1 ^ R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
(K,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(K,R1),(K,R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
len (R1 ^ R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,(R1 ^ R2)) is V33() Element of bool NAT
dom (R1 ^ R2) is V33() Element of bool NAT
dom (K,R2) is V33() Element of bool NAT
dom R2 is V33() Element of bool NAT
len (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,R1) is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
len (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,(K,R1),(K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R1)) + (len (K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b12 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,(K,(R1 ^ R2)),b12) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,(K,(R1 ^ R2)),b12), len ( the carrier of K,(K,(R1 ^ R2)),b12), the carrier of K
( the carrier of K,(K,(R1 ^ R2)),b12) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,(K,(R1 ^ R2)),b12) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R1 ^ R2) . b12 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
1. (K,((R1 ^ R2) . b12)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of (R1 ^ R2) . b12,(R1 ^ R2) . b12, the carrier of K
dom ( the carrier of K,(K,R1),(K,R2)) is V33() Element of bool NAT
R1 . b12 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
1. (K,(R1 . b12)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of R1 . b12,R1 . b12, the carrier of K
( the carrier of K,(K,R1),b12) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,(K,R1),b12), len ( the carrier of K,(K,R1),b12), the carrier of K
( the carrier of K,(K,R1),b12) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,(K,R1),b12) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12), len ( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12), the carrier of K
( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len (K,R1)) + R2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len (K,R1)) + R2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 . R2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
1. (K,(R2 . R2n)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of R2 . R2n,R2 . R2n, the carrier of K
( the carrier of K,(K,R2),R2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,(K,R2),R2n), len ( the carrier of K,(K,R2),R2n), the carrier of K
( the carrier of K,(K,R2),R2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,(K,R2),R2n) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12), len ( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12), the carrier of K
( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12), len ( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12), the carrier of K
( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12), len ( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12), the carrier of K
( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,( the carrier of K,(K,R1),(K,R2)),b12) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,(R1 ^ R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of R1 is non empty non trivial set
R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
R2 | K is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg K is V15() V33() K -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= K ) } is set
R2 | (Seg K) is Relation-like Seg K -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
(R1,(R2 | K)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
the carrier of R1 * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
( the carrier of R1 *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1 *
(R1,R2) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,K,(R1,R2)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
(R1,R2) | (Seg K) is Relation-like Seg K -defined NAT -defined ( the carrier of R1 *) * -valued V33() FinSubsequence-like set
dom (R1,(R2 | K)) is V33() Element of bool NAT
dom (R2 | K) is V33() Element of bool NAT
len (R1,(R2 | K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R2 | K) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (R1,R2) is V33() Element of bool NAT
dom R2 is V33() Element of bool NAT
len (R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 /^ K is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(R2 | K) ^ (R2 /^ K) is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(R1,(R2 /^ K)) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
( the carrier of R1,(R1,(R2 | K)),(R1,(R2 /^ K))) is Relation-like NAT -defined ( the carrier of R1 *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of R1) ( the carrier of R1) FinSequence of ( the carrier of R1 *) *
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K + R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of R2 is non empty non trivial set
0. R2 is V61(R2) Element of the carrier of R2
1. (R2,K) is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of K,K, the carrier of R2
the carrier of R2 * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R2
1. (R2,R1) is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of R1,R1, the carrier of R2
( the carrier of R2,K,R1,(1. (R2,K)),(1. (R2,R1))) is Relation-like NAT -defined ( the carrier of R2 *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of R2) ( the carrier of R2) FinSequence of ( the carrier of R2 *) *
( the carrier of R2 *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R2 *
<*(1. (R2,K))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(1. (R2,K))] is set
{1,(1. (R2,K))} is non empty V33() V37() set
{{1,(1. (R2,K))},{1}} is non empty V33() V37() set
{[1,(1. (R2,K))]} is Relation-like non empty trivial V33() 1 -element set
<*(1. (R2,R1))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(1. (R2,R1))] is set
{1,(1. (R2,R1))} is non empty V33() V37() set
{{1,(1. (R2,R1))},{1}} is non empty V33() V37() set
{[1,(1. (R2,R1))]} is Relation-like non empty trivial V33() 1 -element set
<*(1. (R2,K))*> ^ <*(1. (R2,R1))*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of R2,(0. R2),( the carrier of R2,K,R1,(1. (R2,K)),(1. (R2,R1)))) is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R2,( the carrier of R2,K,R1,(1. (R2,K)),(1. (R2,R1)))), Sum ( the carrier of R2,( the carrier of R2,K,R1,(1. (R2,K)),(1. (R2,R1)))), the carrier of R2
( the carrier of R2,( the carrier of R2,K,R1,(1. (R2,K)),(1. (R2,R1)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R2,K,R1,(1. (R2,K)),(1. (R2,R1))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R2,K,R1,(1. (R2,K)),(1. (R2,R1)))) -tuples_on NAT
len ( the carrier of R2,K,R1,(1. (R2,K)),(1. (R2,R1))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R2,K,R1,(1. (R2,K)),(1. (R2,R1)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R2,( the carrier of R2,K,R1,(1. (R2,K)),(1. (R2,R1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
1. (R2,(K + R1)) is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of K + R1,K + R1, the carrier of R2
len (1. (R2,K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R2,R1,(1. (R2,R1))) is Relation-like NAT -defined ( the carrier of R2 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R2) ( the carrier of R2) FinSequence of ( the carrier of R2 *) *
( the carrier of R2,( the carrier of R2,R1,(1. (R2,R1)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R2,R1,(1. (R2,R1))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R2,R1,(1. (R2,R1)))) -tuples_on NAT
len ( the carrier of R2,R1,(1. (R2,R1))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R2,R1,(1. (R2,R1)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R2,( the carrier of R2,R1,(1. (R2,R1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (1. (R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R2,(0. R2),( the carrier of R2,R1,(1. (R2,R1)))) is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R2,( the carrier of R2,R1,(1. (R2,R1)))), Sum ( the carrier of R2,( the carrier of R2,R1,(1. (R2,R1)))), the carrier of R2
Indices ( the carrier of R2,(0. R2),( the carrier of R2,R1,(1. (R2,R1)))) is set
dom ( the carrier of R2,(0. R2),( the carrier of R2,R1,(1. (R2,R1)))) is V33() Element of bool NAT
width ( the carrier of R2,(0. R2),( the carrier of R2,R1,(1. (R2,R1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width ( the carrier of R2,(0. R2),( the carrier of R2,R1,(1. (R2,R1))))) is V15() V33() width ( the carrier of R2,(0. R2),( the carrier of R2,R1,(1. (R2,R1)))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width ( the carrier of R2,(0. R2),( the carrier of R2,R1,(1. (R2,R1)))) ) } is set
[:(dom ( the carrier of R2,(0. R2),( the carrier of R2,R1,(1. (R2,R1))))),(Seg (width ( the carrier of R2,(0. R2),( the carrier of R2,R1,(1. (R2,R1)))))):] is Relation-like V33() set
Seg R1 is V15() V33() R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R1 ) } is set
[:(Seg R1),(Seg R1):] is Relation-like V33() set
(len (1. (R2,K))) + (len (1. (R2,R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b1 is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of K + R1,K + R1, the carrier of R2
Indices b1 is set
dom b1 is V33() Element of bool NAT
width b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width b1) is V15() V33() width b1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width b1 ) } is set
[:(dom b1),(Seg (width b1)):] is Relation-like V33() set
Seg (K + R1) is V15() V33() K + R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= K + R1 ) } is set
[:(Seg (K + R1)),(Seg (K + R1)):] is Relation-like V33() set
Indices (1. (R2,R1)) is set
dom (1. (R2,R1)) is V33() Element of bool NAT
width (1. (R2,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width (1. (R2,R1))) is V15() V33() width (1. (R2,R1)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (1. (R2,R1)) ) } is set
[:(dom (1. (R2,R1))),(Seg (width (1. (R2,R1)))):] is Relation-like V33() set
width (1. (R2,K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Indices (1. (R2,K)) is set
dom (1. (R2,K)) is V33() Element of bool NAT
Seg (width (1. (R2,K))) is V15() V33() width (1. (R2,K)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (1. (R2,K)) ) } is set
[:(dom (1. (R2,K))),(Seg (width (1. (R2,K)))):] is Relation-like V33() set
Seg K is V15() V33() K -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= K ) } is set
[:(Seg K),(Seg K):] is Relation-like V33() set
( the carrier of R2,K,(1. (R2,K))) is Relation-like NAT -defined ( the carrier of R2 *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of R2) ( the carrier of R2) FinSequence of ( the carrier of R2 *) *
( the carrier of R2,( the carrier of R2,K,(1. (R2,K)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R2,K,(1. (R2,K))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R2,K,(1. (R2,K)))) -tuples_on NAT
len ( the carrier of R2,K,(1. (R2,K))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of R2,K,(1. (R2,K)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of R2,( the carrier of R2,K,(1. (R2,K)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R2,( the carrier of R2,K,(1. (R2,K)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of R2,K,(1. (R2,K))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of R2,K,(1. (R2,K)))) -tuples_on NAT
Sum ( the carrier of R2,( the carrier of R2,K,(1. (R2,K)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of R2,(0. R2),( the carrier of R2,K,(1. (R2,K)))) is Relation-like NAT -defined the carrier of R2 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of R2,( the carrier of R2,K,(1. (R2,K)))), Sum ( the carrier of R2,( the carrier of R2,K,(1. (R2,K)))), the carrier of R2
Indices ( the carrier of R2,(0. R2),( the carrier of R2,K,(1. (R2,K)))) is set
dom ( the carrier of R2,(0. R2),( the carrier of R2,K,(1. (R2,K)))) is V33() Element of bool NAT
width ( the carrier of R2,(0. R2),( the carrier of R2,K,(1. (R2,K)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width ( the carrier of R2,(0. R2),( the carrier of R2,K,(1. (R2,K))))) is V15() V33() width ( the carrier of R2,(0. R2),( the carrier of R2,K,(1. (R2,K)))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width ( the carrier of R2,(0. R2),( the carrier of R2,K,(1. (R2,K)))) ) } is set
[:(dom ( the carrier of R2,(0. R2),( the carrier of R2,K,(1. (R2,K))))),(Seg (width ( the carrier of R2,(0. R2),( the carrier of R2,K,(1. (R2,K)))))):] is Relation-like V33() set
b12 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
[b12,R2n] is set
{b12,R2n} is non empty V33() V37() set
{b12} is non empty trivial V33() V37() 1 -element set
{{b12,R2n},{b12}} is non empty V33() V37() set
b1 * (b12,R2n) is Element of the carrier of R2
( the carrier of R2,(0. R2),( the carrier of R2,K,(1. (R2,K)))) * (b12,R2n) is Element of the carrier of R2
(1. (R2,K)) * (b12,R2n) is Element of the carrier of R2
R2n - K is V31() ext-real V141() set
b12 -' K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b12 - K is V31() ext-real V141() set
(b12 -' K) + K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2n -' K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2n -' K) + K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
[(b12 -' K),(R2n -' K)] is set
{(b12 -' K),(R2n -' K)} is non empty V33() V37() set
{(b12 -' K)} is non empty trivial V33() V37() 1 -element set
{{(b12 -' K),(R2n -' K)},{(b12 -' K)}} is non empty V33() V37() set
b1 * (b12,R2n) is Element of the carrier of R2
( the carrier of R2,(0. R2),( the carrier of R2,R1,(1. (R2,R1)))) * ((b12 -' K),(R2n -' K)) is Element of the carrier of R2
(1. (R2,R1)) * ((b12 -' K),(R2n -' K)) is Element of the carrier of R2
b1 * (b12,R2n) is Element of the carrier of R2
b1 * (b12,R2n) is Element of the carrier of R2
b1 * (b12,R2n) is Element of the carrier of R2
b12 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
[b12,b12] is set
{b12,b12} is non empty V33() V37() set
{b12} is non empty trivial V33() V37() 1 -element set
{{b12,b12},{b12}} is non empty V33() V37() set
b1 * (b12,b12) is Element of the carrier of R2
( the carrier of R2,(0. R2),( the carrier of R2,K,(1. (R2,K)))) * (b12,b12) is Element of the carrier of R2
(1. (R2,K)) * (b12,b12) is Element of the carrier of R2
1_ R2 is Element of the carrier of R2
1. R2 is V61(R2) Element of the carrier of R2
b12 -' K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b12 - K is V31() ext-real V141() set
(b12 -' K) + K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
[(b12 -' K),(b12 -' K)] is set
{(b12 -' K),(b12 -' K)} is non empty V33() V37() set
{(b12 -' K)} is non empty trivial V33() V37() 1 -element set
{{(b12 -' K),(b12 -' K)},{(b12 -' K)}} is non empty V33() V37() set
b1 * (b12,b12) is Element of the carrier of R2
( the carrier of R2,(0. R2),( the carrier of R2,R1,(1. (R2,R1)))) * ((b12 -' K),(b12 -' K)) is Element of the carrier of R2
(1. (R2,R1)) * ((b12 -' K),(b12 -' K)) is Element of the carrier of R2
1_ R2 is Element of the carrier of R2
1. R2 is V61(R2) Element of the carrier of R2
b1 * (b12,b12) is Element of the carrier of R2
1_ R2 is Element of the carrier of R2
1. R2 is V61(R2) Element of the carrier of R2
b1 * (b12,b12) is Element of the carrier of R2
1_ R2 is Element of the carrier of R2
1. R2 is V61(R2) Element of the carrier of R2
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
0. K is V61(K) Element of the carrier of K
R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(K,R1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
( the carrier of K,(0. K),(K,R1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,R1)), Sum ( the carrier of K,(K,R1)), the carrier of K
( the carrier of K,(K,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1)) -tuples_on NAT
len (K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
1. (K,(Sum R1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum R1, Sum R1, the carrier of K
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(0. K),(K,R2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,R2)), Sum ( the carrier of K,(K,R2)), the carrier of K
( the carrier of K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2)) -tuples_on NAT
len (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
1. (K,(Sum R2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum R2, Sum R2, the carrier of K
R2 | R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
Seg R2 is V15() V33() R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R2 ) } is set
R2 | (Seg R2) is Relation-like Seg R2 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
len (R2 | R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R2 is V33() Element of bool NAT
R2 /. (R2 + 1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 . (R2 + 1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
<*(R2 . (R2 + 1))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(R2 . (R2 + 1))] is set
{1,(R2 . (R2 + 1))} is non empty V33() V37() set
{{1,(R2 . (R2 + 1))},{1}} is non empty V33() V37() set
{[1,(R2 . (R2 + 1))]} is Relation-like non empty trivial V33() 1 -element set
(R2 | R2) ^ <*(R2 . (R2 + 1))*> is Relation-like NAT -defined Function-like non empty V33() FinSequence-like FinSubsequence-like set
(K,(R2 | R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
<*(R2 /. (R2 + 1))*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
1 -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
[1,(R2 /. (R2 + 1))] is set
{1,(R2 /. (R2 + 1))} is non empty V33() V37() set
{{1,(R2 /. (R2 + 1))},{1}} is non empty V33() V37() set
{[1,(R2 /. (R2 + 1))]} is Relation-like non empty trivial V33() 1 -element set
(K,<*(R2 /. (R2 + 1))*>) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(K,(R2 | R2)),(K,<*(R2 /. (R2 + 1))*>)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(0. K),( the carrier of K,(K,(R2 | R2)),(K,<*(R2 /. (R2 + 1))*>))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,(K,(R2 | R2)),(K,<*(R2 /. (R2 + 1))*>))), Sum ( the carrier of K,( the carrier of K,(K,(R2 | R2)),(K,<*(R2 /. (R2 + 1))*>))), the carrier of K
( the carrier of K,( the carrier of K,(K,(R2 | R2)),(K,<*(R2 /. (R2 + 1))*>))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(K,(R2 | R2)),(K,<*(R2 /. (R2 + 1))*>)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(K,(R2 | R2)),(K,<*(R2 /. (R2 + 1))*>))) -tuples_on NAT
len ( the carrier of K,(K,(R2 | R2)),(K,<*(R2 /. (R2 + 1))*>)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ( the carrier of K,(K,(R2 | R2)),(K,<*(R2 /. (R2 + 1))*>))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,(K,(R2 | R2)),(K,<*(R2 /. (R2 + 1))*>))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
1. (K,(R2 . (R2 + 1))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of R2 . (R2 + 1),R2 . (R2 + 1), the carrier of K
( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1))))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,(1. (K,(R2 . (R2 + 1))))] is set
{1,(1. (K,(R2 . (R2 + 1))))} is non empty V33() V37() set
{{1,(1. (K,(R2 . (R2 + 1))))},{1}} is non empty V33() V37() set
{[1,(1. (K,(R2 . (R2 + 1))))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of K,(K,(R2 | R2)),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1)))))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(0. K),( the carrier of K,(K,(R2 | R2)),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1))))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,(K,(R2 | R2)),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1))))))), Sum ( the carrier of K,( the carrier of K,(K,(R2 | R2)),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1))))))), the carrier of K
( the carrier of K,( the carrier of K,(K,(R2 | R2)),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1))))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(K,(R2 | R2)),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1)))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(K,(R2 | R2)),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1))))))) -tuples_on NAT
len ( the carrier of K,(K,(R2 | R2)),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1)))))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,(K,(R2 | R2)),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1))))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,(K,(R2 | R2)),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1))))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(K,(R2 | R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,(R2 | R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,(R2 | R2))) -tuples_on NAT
len (K,(R2 | R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,(R2 | R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,(R2 | R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(0. K),(K,(R2 | R2))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,(R2 | R2))), Sum ( the carrier of K,(K,(R2 | R2))), the carrier of K
( the carrier of K,(Sum ( the carrier of K,(K,(R2 | R2)))),( the carrier of K,(0. K),(K,(R2 | R2)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,( the carrier of K,(0. K),(K,(R2 | R2)))] is set
{1,( the carrier of K,(0. K),(K,(R2 | R2)))} is non empty V33() V37() set
{{1,( the carrier of K,(0. K),(K,(R2 | R2)))},{1}} is non empty V33() V37() set
{[1,( the carrier of K,(0. K),(K,(R2 | R2)))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of K,( the carrier of K,(Sum ( the carrier of K,(K,(R2 | R2)))),( the carrier of K,(0. K),(K,(R2 | R2)))),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1)))))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(0. K),( the carrier of K,( the carrier of K,(Sum ( the carrier of K,(K,(R2 | R2)))),( the carrier of K,(0. K),(K,(R2 | R2)))),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1))))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,( the carrier of K,(Sum ( the carrier of K,(K,(R2 | R2)))),( the carrier of K,(0. K),(K,(R2 | R2)))),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1))))))), Sum ( the carrier of K,( the carrier of K,( the carrier of K,(Sum ( the carrier of K,(K,(R2 | R2)))),( the carrier of K,(0. K),(K,(R2 | R2)))),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1))))))), the carrier of K
( the carrier of K,( the carrier of K,( the carrier of K,(Sum ( the carrier of K,(K,(R2 | R2)))),( the carrier of K,(0. K),(K,(R2 | R2)))),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1))))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,( the carrier of K,(Sum ( the carrier of K,(K,(R2 | R2)))),( the carrier of K,(0. K),(K,(R2 | R2)))),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1)))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,( the carrier of K,(Sum ( the carrier of K,(K,(R2 | R2)))),( the carrier of K,(0. K),(K,(R2 | R2)))),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1))))))) -tuples_on NAT
len ( the carrier of K,( the carrier of K,(Sum ( the carrier of K,(K,(R2 | R2)))),( the carrier of K,(0. K),(K,(R2 | R2)))),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1)))))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,( the carrier of K,(Sum ( the carrier of K,(K,(R2 | R2)))),( the carrier of K,(0. K),(K,(R2 | R2)))),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1))))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,( the carrier of K,(Sum ( the carrier of K,(K,(R2 | R2)))),( the carrier of K,(0. K),(K,(R2 | R2)))),( the carrier of K,(R2 . (R2 + 1)),(1. (K,(R2 . (R2 + 1))))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum (R2 | R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
1. (K,(Sum (R2 | R2))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum (R2 | R2), Sum (R2 | R2), the carrier of K
( the carrier of K,(Sum (R2 | R2)),(R2 . (R2 + 1)),(1. (K,(Sum (R2 | R2)))),(1. (K,(R2 . (R2 + 1))))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
<*(1. (K,(Sum (R2 | R2))))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(1. (K,(Sum (R2 | R2))))] is set
{1,(1. (K,(Sum (R2 | R2))))} is non empty V33() V37() set
{{1,(1. (K,(Sum (R2 | R2))))},{1}} is non empty V33() V37() set
{[1,(1. (K,(Sum (R2 | R2))))]} is Relation-like non empty trivial V33() 1 -element set
<*(1. (K,(R2 . (R2 + 1))))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*(1. (K,(Sum (R2 | R2))))*> ^ <*(1. (K,(R2 . (R2 + 1))))*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,(0. K),( the carrier of K,(Sum (R2 | R2)),(R2 . (R2 + 1)),(1. (K,(Sum (R2 | R2)))),(1. (K,(R2 . (R2 + 1)))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,(Sum (R2 | R2)),(R2 . (R2 + 1)),(1. (K,(Sum (R2 | R2)))),(1. (K,(R2 . (R2 + 1)))))), Sum ( the carrier of K,( the carrier of K,(Sum (R2 | R2)),(R2 . (R2 + 1)),(1. (K,(Sum (R2 | R2)))),(1. (K,(R2 . (R2 + 1)))))), the carrier of K
( the carrier of K,( the carrier of K,(Sum (R2 | R2)),(R2 . (R2 + 1)),(1. (K,(Sum (R2 | R2)))),(1. (K,(R2 . (R2 + 1)))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(Sum (R2 | R2)),(R2 . (R2 + 1)),(1. (K,(Sum (R2 | R2)))),(1. (K,(R2 . (R2 + 1))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(Sum (R2 | R2)),(R2 . (R2 + 1)),(1. (K,(Sum (R2 | R2)))),(1. (K,(R2 . (R2 + 1)))))) -tuples_on NAT
len ( the carrier of K,(Sum (R2 | R2)),(R2 . (R2 + 1)),(1. (K,(Sum (R2 | R2)))),(1. (K,(R2 . (R2 + 1))))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,(Sum (R2 | R2)),(R2 . (R2 + 1)),(1. (K,(Sum (R2 | R2)))),(1. (K,(R2 . (R2 + 1)))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,(Sum (R2 | R2)),(R2 . (R2 + 1)),(1. (K,(Sum (R2 | R2)))),(1. (K,(R2 . (R2 + 1)))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Sum (R2 | R2)) + (R2 . (R2 + 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
1. (K,((Sum (R2 | R2)) + (R2 . (R2 + 1)))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of (Sum (R2 | R2)) + (R2 . (R2 + 1)),(Sum (R2 | R2)) + (R2 . (R2 + 1)), the carrier of K
R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(0. K),(K,R2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,R2)), Sum ( the carrier of K,(K,R2)), the carrier of K
( the carrier of K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2)) -tuples_on NAT
len (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
1. (K,(Sum R2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum R2, Sum R2, the carrier of K
dom (K,R2) is V33() Element of bool NAT
dom R2 is V33() Element of bool NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(0. K),(K,R2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,R2)), Sum ( the carrier of K,(K,R2)), the carrier of K
( the carrier of K,(K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2)) -tuples_on NAT
len (K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
1. (K,(Sum R2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum R2, Sum R2, the carrier of K
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
dom R1 is V33() Element of bool NAT
R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R1 is V33() Element of bool NAT
rng R1 is V33() set
R2 is set
b2 is set
R1 . b2 is set
b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 . b1 is set
( the carrier of K,R1,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R2 /. b1 is Element of the carrier of K
(R2 /. b1) * ( the carrier of K,R1,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of ( the carrier of K *) *
dom R2 is V33() Element of bool NAT
R2 . b2 is FinSequence-like set
( the carrier of K,R1,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R2 /. b2 is Element of the carrier of K
(R2 /. b2) * ( the carrier of K,R1,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
b2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
dom b2 is V33() Element of bool NAT
b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,b2,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R2 /. b1 is Element of the carrier of K
(R2 /. b1) * ( the carrier of K,R1,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
dom R1 is V33() Element of bool NAT
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
dom R2 is V33() Element of bool NAT
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,R1,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R2 /. b2 is Element of the carrier of K
(R2 /. b2) * ( the carrier of K,R1,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R2,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(K,R1,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
dom (K,R1,R2) is V33() Element of bool NAT
(K,R1,R2) . R2 is FinSequence-like set
( the carrier of K,(K,R1,R2),R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,R1,R2), len ( the carrier of K,R1,R2), the carrier of K
R2 /. R2 is Element of the carrier of K
(R2 /. R2) * ( the carrier of K,R1,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,R1,R2), len ( the carrier of K,R1,R2), the carrier of K
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
len ( the carrier of K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(K,R1,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,R2)) -tuples_on NAT
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R1,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,(K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,R2)) -tuples_on NAT
dom ( the carrier of K,(K,R1,R2)) is V33() len (K,R1,R2) -element Element of bool NAT
dom (K,R1,R2) is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
dom ( the carrier of K,R1) is V33() len R1 -element Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,(K,R1,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,(K,R1,R2),R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,(K,R1,R2),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R2 /. R2 is Element of the carrier of K
(R2 /. R2) * ( the carrier of K,R1,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ((R2 /. R2) * ( the carrier of K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
dom ( the carrier of K,(K,R1,R2)) is V33() len (K,R1,R2) -element Element of bool NAT
dom ( the carrier of K,R1) is V33() len R1 -element Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,(K,R1,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,(K,R1,R2),R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
width ( the carrier of K,(K,R1,R2),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R2 /. R2 is Element of the carrier of K
(R2 /. R2) * ( the carrier of K,R1,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
width ((R2 /. R2) * ( the carrier of K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width ( the carrier of K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
R1 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(K,( the carrier of K,R1),R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
R2 /. 1 is Element of the carrier of K
(R2 /. 1) * R1 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,((R2 /. 1) * R1)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,((R2 /. 1) * R1)] is set
{1,((R2 /. 1) * R1)} is non empty V33() V37() set
{{1,((R2 /. 1) * R1)},{1}} is non empty V33() V37() set
{[1,((R2 /. 1) * R1)]} is Relation-like non empty trivial V33() 1 -element set
dom (K,( the carrier of K,R1),R2) is V33() Element of bool NAT
dom ( the carrier of K,R1) is non empty trivial V33() 1 -element Element of bool NAT
( the carrier of K,(K,( the carrier of K,R1),R2),1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,R1),1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
(R2 /. 1) * ( the carrier of K,( the carrier of K,R1),1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len (K,( the carrier of K,R1),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
R1 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1,R1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 ^ R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(K,( the carrier of K,R1,R2),(R1 ^ R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
(K,R2,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(K,R1,R1),(K,R2,R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
dom R1 is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
dom R2 is V33() Element of bool NAT
Seg (len R2) is V15() V33() len R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R2 ) } is set
Seg (len R2) is V15() V33() len R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R2 ) } is set
dom R2 is V33() Element of bool NAT
dom ( the carrier of K,R1,R2) is V33() Element of bool NAT
len ( the carrier of K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (len ( the carrier of K,R1,R2)) is V15() V33() len ( the carrier of K,R1,R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len ( the carrier of K,R1,R2) ) } is set
dom (K,( the carrier of K,R1,R2),(R1 ^ R2)) is V33() Element of bool NAT
dom (K,R2,R2) is V33() Element of bool NAT
len (K,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,R1,R1) is V33() Element of bool NAT
len (K,R1,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg ((len R1) + (len R2)) is V15() V33() (len R1) + (len R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= (len R1) + (len R2) ) } is set
dom (R1 ^ R2) is V33() Element of bool NAT
b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(R1 ^ R2) /. b1n is Element of the carrier of K
(R1 ^ R2) . b1n is set
( the carrier of K,(K,( the carrier of K,R1,R2),(R1 ^ R2)),b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,R1,R2),b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
((R1 ^ R2) /. b1n) * ( the carrier of K,( the carrier of K,R1,R2),b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R1 . b1n is set
R1 /. b1n is Element of the carrier of K
( the carrier of K,(K,R1,R1),b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,(K,R1,R1),(K,R2,R2)),b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
ab is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len R1) + ab is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
ab is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len R1) + ab is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R2,ab) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R2 /. ab is Element of the carrier of K
R2 . ab is set
( the carrier of K,(K,R2,R2),ab) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,(K,R1,R1),(K,R2,R2)),b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,(K,R1,R1),(K,R2,R2)),b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,(K,R1,R1),(K,R2,R2)),b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,(K,R1,R1),(K,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R1,R1)) + (len (K,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,( the carrier of K,R1,R2),(R1 ^ R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
R1 is Element of the carrier of K
R2 is Element of the carrier of K
R1 * R2 is Element of the carrier of K
R1 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R1 * R1 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
<*R2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
<*R1*> ^ <*R2*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,( the carrier of K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R1,R2)) -tuples_on NAT
len ( the carrier of K,R1,R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,R1,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R1,R2)) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R2,( the carrier of K,R1,R2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,R1,R2)), Sum ( the carrier of K,( the carrier of K,R1,R2)), the carrier of K
R1 * ( the carrier of K,R2,( the carrier of K,R1,R2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,R1,R2)), Sum ( the carrier of K,( the carrier of K,R1,R2)), the carrier of K
R1 * R2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,(R1 * R1),(R1 * R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
<*(R1 * R1)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(R1 * R1)] is set
{1,(R1 * R1)} is non empty V33() V37() set
{{1,(R1 * R1)},{1}} is non empty V33() V37() set
{[1,(R1 * R1)]} is Relation-like non empty trivial V33() 1 -element set
<*(R1 * R2)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(R1 * R2)] is set
{1,(R1 * R2)} is non empty V33() V37() set
{{1,(R1 * R2)},{1}} is non empty V33() V37() set
{[1,(R1 * R2)]} is Relation-like non empty trivial V33() 1 -element set
<*(R1 * R1)*> ^ <*(R1 * R2)*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,(R1 * R2),( the carrier of K,(R1 * R1),(R1 * R2))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,(R1 * R1),(R1 * R2))), Sum ( the carrier of K,( the carrier of K,(R1 * R1),(R1 * R2))), the carrier of K
( the carrier of K,( the carrier of K,(R1 * R1),(R1 * R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(R1 * R1),(R1 * R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(R1 * R1),(R1 * R2))) -tuples_on NAT
len ( the carrier of K,(R1 * R1),(R1 * R2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,(R1 * R1),(R1 * R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,(R1 * R1),(R1 * R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,(R1 * R1),(R1 * R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(R1 * R1),(R1 * R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(R1 * R1),(R1 * R2))) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,(R1 * R1),(R1 * R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (R1 * R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (R1 * R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width R1) + (width R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,R2,( the carrier of K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R1 * R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (R1 * R2) is V33() Element of bool NAT
dom R2 is V33() Element of bool NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R1 * R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (R1 * R1) is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
b2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
Line ((R1 * ( the carrier of K,R2,( the carrier of K,R1,R2))),b2n) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (R1 * ( the carrier of K,R2,( the carrier of K,R1,R2))) -element FinSequence-like FinSubsequence-like Element of (width (R1 * ( the carrier of K,R2,( the carrier of K,R1,R2)))) -tuples_on the carrier of K
width (R1 * ( the carrier of K,R2,( the carrier of K,R1,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width (R1 * ( the carrier of K,R2,( the carrier of K,R1,R2)))) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
Line ((R1 * R1),b2n) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (R1 * R1) -element FinSequence-like FinSubsequence-like Element of (width (R1 * R1)) -tuples_on the carrier of K
(width (R1 * R1)) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(width (R1 * R2)) |-> (R1 * R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (R1 * R2) -element FinSequence-like FinSubsequence-like Element of (width (R1 * R2)) -tuples_on the carrier of K
(width (R1 * R2)) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(Line ((R1 * R1),b2n)) ^ ((width (R1 * R2)) |-> (R1 * R2)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width (R1 * R1)) + (width (R1 * R2)) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width (R1 * R1)) + (width (R1 * R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width ( the carrier of K,R2,( the carrier of K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (( the carrier of K,R2,( the carrier of K,R1,R2)),b2n) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width ( the carrier of K,R2,( the carrier of K,R1,R2)) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of K,R2,( the carrier of K,R1,R2))) -tuples_on the carrier of K
(width ( the carrier of K,R2,( the carrier of K,R1,R2))) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
R1 * (Line (( the carrier of K,R2,( the carrier of K,R1,R2)),b2n)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width ( the carrier of K,R2,( the carrier of K,R1,R2)) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of K,R2,( the carrier of K,R1,R2))) -tuples_on the carrier of K
R1 multfield is Relation-like Function-like V21( the carrier of K, the carrier of K) Element of bool [: the carrier of K, the carrier of K:]
[: the carrier of K, the carrier of K:] is Relation-like set
bool [: the carrier of K, the carrier of K:] is set
the multF of K is Relation-like Function-like V21([: the carrier of K, the carrier of K:], the carrier of K) Element of bool [:[: the carrier of K, the carrier of K:], the carrier of K:]
[:[: the carrier of K, the carrier of K:], the carrier of K:] is Relation-like set
bool [:[: the carrier of K, the carrier of K:], the carrier of K:] is set
id the carrier of K is Relation-like the carrier of K -defined the carrier of K -valued total Element of bool [: the carrier of K, the carrier of K:]
K323( the carrier of K, the carrier of K, the multF of K,R1,(id the carrier of K)) is Relation-like Function-like V21( the carrier of K, the carrier of K) Element of bool [: the carrier of K, the carrier of K:]
(R1 multfield) * (Line (( the carrier of K,R2,( the carrier of K,R1,R2)),b2n)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Line (R1,b2n) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of K
(width R1) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(width R2) |-> R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on the carrier of K
(width R2) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(Line (R1,b2n)) ^ ((width R2) |-> R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width R1) + (width R2) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width R1) + (width R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 * ((Line (R1,b2n)) ^ ((width R2) |-> R2)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(R1 multfield) * ((Line (R1,b2n)) ^ ((width R2) |-> R2)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
R1 * (Line (R1,b2n)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of K
(R1 multfield) * (Line (R1,b2n)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
R1 * ((width R2) |-> R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on the carrier of K
(R1 multfield) * ((width R2) |-> R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(R1 * (Line (R1,b2n))) ^ (R1 * ((width R2) |-> R2)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width R1) + (width R2) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(Line ((R1 * R1),b2n)) ^ (R1 * ((width R2) |-> R2)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width (R1 * R1)) + (width R2) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width (R1 * R1)) + (width R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2n + (len (R1 * R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line ((R1 * ( the carrier of K,R2,( the carrier of K,R1,R2))),(b2n + (len (R1 * R1)))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (R1 * ( the carrier of K,R2,( the carrier of K,R1,R2))) -element FinSequence-like FinSubsequence-like Element of (width (R1 * ( the carrier of K,R2,( the carrier of K,R1,R2)))) -tuples_on the carrier of K
(width (R1 * R1)) |-> (R1 * R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (R1 * R1) -element FinSequence-like FinSubsequence-like Element of (width (R1 * R1)) -tuples_on the carrier of K
Line ((R1 * R2),b2n) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (R1 * R2) -element FinSequence-like FinSubsequence-like Element of (width (R1 * R2)) -tuples_on the carrier of K
((width (R1 * R1)) |-> (R1 * R2)) ^ (Line ((R1 * R2),b2n)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width (R1 * R1)) + (width (R1 * R2)) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
{} + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
b2n + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width ( the carrier of K,R2,( the carrier of K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (( the carrier of K,R2,( the carrier of K,R1,R2)),(b2n + (len R1))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width ( the carrier of K,R2,( the carrier of K,R1,R2)) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of K,R2,( the carrier of K,R1,R2))) -tuples_on the carrier of K
(width ( the carrier of K,R2,( the carrier of K,R1,R2))) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
R1 * (Line (( the carrier of K,R2,( the carrier of K,R1,R2)),(b2n + (len R1)))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width ( the carrier of K,R2,( the carrier of K,R1,R2)) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of K,R2,( the carrier of K,R1,R2))) -tuples_on the carrier of K
R1 multfield is Relation-like Function-like V21( the carrier of K, the carrier of K) Element of bool [: the carrier of K, the carrier of K:]
[: the carrier of K, the carrier of K:] is Relation-like set
bool [: the carrier of K, the carrier of K:] is set
the multF of K is Relation-like Function-like V21([: the carrier of K, the carrier of K:], the carrier of K) Element of bool [:[: the carrier of K, the carrier of K:], the carrier of K:]
[:[: the carrier of K, the carrier of K:], the carrier of K:] is Relation-like set
bool [:[: the carrier of K, the carrier of K:], the carrier of K:] is set
id the carrier of K is Relation-like the carrier of K -defined the carrier of K -valued total Element of bool [: the carrier of K, the carrier of K:]
K323( the carrier of K, the carrier of K, the multF of K,R1,(id the carrier of K)) is Relation-like Function-like V21( the carrier of K, the carrier of K) Element of bool [: the carrier of K, the carrier of K:]
(R1 multfield) * (Line (( the carrier of K,R2,( the carrier of K,R1,R2)),(b2n + (len R1)))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width R1) |-> R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of K
(width R1) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
Line (R2,b2n) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on the carrier of K
(width R2) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
((width R1) |-> R2) ^ (Line (R2,b2n)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width R1) + (width R2) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width R1) + (width R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 * (((width R1) |-> R2) ^ (Line (R2,b2n))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(R1 multfield) * (((width R1) |-> R2) ^ (Line (R2,b2n))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
R1 * ((width R1) |-> R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of K
(R1 multfield) * ((width R1) |-> R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
R1 * (Line (R2,b2n)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on the carrier of K
(R1 multfield) * (Line (R2,b2n)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(R1 * ((width R1) |-> R2)) ^ (R1 * (Line (R2,b2n))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width R1) + (width R2) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width R1) |-> (R1 * R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of K
((width R1) |-> (R1 * R2)) ^ (R1 * (Line (R2,b2n))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width R1) + (width R2) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R1 is Element of the carrier of K
R2 is Element of the carrier of K
R1 * R2 is Element of the carrier of K
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
Sum ( the carrier of K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R2,R1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,R1), Sum ( the carrier of K,R1), the carrier of K
R1 * ( the carrier of K,R2,R1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,R1), Sum ( the carrier of K,R1), the carrier of K
(len R1) |-> R1 is Relation-like NAT -defined the carrier of K -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like Element of (len R1) -tuples_on the carrier of K
(len R1) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(K,R1,((len R1) |-> R1)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(R1 * R2),(K,R1,((len R1) |-> R1))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,R1,((len R1) |-> R1))), Sum ( the carrier of K,(K,R1,((len R1) |-> R1))), the carrier of K
( the carrier of K,(K,R1,((len R1) |-> R1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,((len R1) |-> R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,((len R1) |-> R1))) -tuples_on NAT
len (K,R1,((len R1) |-> R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R1,((len R1) |-> R1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,R1,((len R1) |-> R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(K,R1,((len R1) |-> R1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,((len R1) |-> R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,((len R1) |-> R1))) -tuples_on NAT
Sum ( the carrier of K,(K,R1,((len R1) |-> R1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
b1 is Element of the carrier of K
b12 is Element of the carrier of K
b1 * b12 is Element of the carrier of K
R2n is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
len R2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R2n) is Relation-like NAT -defined NAT -valued Function-like V33() len R2n -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2n) -tuples_on NAT
(len R2n) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,R2n) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R2n) is Relation-like NAT -defined NAT -valued Function-like V33() len R2n -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2n) -tuples_on NAT
Sum ( the carrier of K,R2n) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,b12,R2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,R2n), Sum ( the carrier of K,R2n), the carrier of K
b1 * ( the carrier of K,b12,R2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,R2n), Sum ( the carrier of K,R2n), the carrier of K
(len R2n) |-> b1 is Relation-like NAT -defined the carrier of K -valued Function-like V33() len R2n -element FinSequence-like FinSubsequence-like Element of (len R2n) -tuples_on the carrier of K
(len R2n) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(K,R2n,((len R2n) |-> b1)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(b1 * b12),(K,R2n,((len R2n) |-> b1))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,R2n,((len R2n) |-> b1))), Sum ( the carrier of K,(K,R2n,((len R2n) |-> b1))), the carrier of K
( the carrier of K,(K,R2n,((len R2n) |-> b1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2n,((len R2n) |-> b1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2n,((len R2n) |-> b1))) -tuples_on NAT
len (K,R2n,((len R2n) |-> b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R2n,((len R2n) |-> b1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,R2n,((len R2n) |-> b1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(K,R2n,((len R2n) |-> b1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R2n,((len R2n) |-> b1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R2n,((len R2n) |-> b1))) -tuples_on NAT
Sum ( the carrier of K,(K,R2n,((len R2n) |-> b1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R2,R2n) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
Seg R2 is V15() V33() R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R2 ) } is set
R2n | (Seg R2) is Relation-like Seg R2 -defined NAT -defined ( the carrier of K *) * -valued V33() FinSubsequence-like set
( the carrier of K,R2n,(R2 + 1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,R2n,(R2 + 1))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,( the carrier of K,R2n,(R2 + 1))] is set
{1,( the carrier of K,R2n,(R2 + 1))} is non empty V33() V37() set
{{1,( the carrier of K,R2n,(R2 + 1))},{1}} is non empty V33() V37() set
{[1,( the carrier of K,R2n,(R2 + 1))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of K,( the carrier of K,R2,R2n),( the carrier of K,( the carrier of K,R2n,(R2 + 1)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
len ( the carrier of K,R2,R2n) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
<*b1*> is Relation-like NAT -defined the carrier of K -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like Element of 1 -tuples_on the carrier of K
1 -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
[1,b1] is set
{1,b1} is non empty V33() set
{{1,b1},{1}} is non empty V33() V37() set
{[1,b1]} is Relation-like non empty trivial V33() 1 -element set
dom <*b1*> is non empty trivial V33() 1 -element Element of bool NAT
<*b1*> . 1 is set
<*b1*> /. 1 is Element of the carrier of K
len <*b1*> is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
len ( the carrier of K,( the carrier of K,R2n,(R2 + 1))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
R2 |-> b1 is Relation-like NAT -defined the carrier of K -valued Function-like V33() R2 -element FinSequence-like FinSubsequence-like Element of R2 -tuples_on the carrier of K
R2 -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
len (R2 |-> b1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(R2 + 1) |-> b1 is Relation-like NAT -defined the carrier of K -valued Function-like V33() R2 + 1 -element FinSequence-like FinSubsequence-like Element of (R2 + 1) -tuples_on the carrier of K
(R2 + 1) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(R2 |-> b1) ^ <*b1*> is Relation-like NAT -defined the carrier of K -valued Function-like non empty V33() R2 + 1 -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(K,( the carrier of K,R2,R2n),(R2 |-> b1)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
(K,( the carrier of K,( the carrier of K,R2n,(R2 + 1))),<*b1*>) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),(K,( the carrier of K,( the carrier of K,R2n,(R2 + 1))),<*b1*>)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(b1 * b12),( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),(K,( the carrier of K,( the carrier of K,R2n,(R2 + 1))),<*b1*>))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),(K,( the carrier of K,( the carrier of K,R2n,(R2 + 1))),<*b1*>))), Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),(K,( the carrier of K,( the carrier of K,R2n,(R2 + 1))),<*b1*>))), the carrier of K
( the carrier of K,( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),(K,( the carrier of K,( the carrier of K,R2n,(R2 + 1))),<*b1*>))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),(K,( the carrier of K,( the carrier of K,R2n,(R2 + 1))),<*b1*>)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),(K,( the carrier of K,( the carrier of K,R2n,(R2 + 1))),<*b1*>))) -tuples_on NAT
len ( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),(K,( the carrier of K,( the carrier of K,R2n,(R2 + 1))),<*b1*>)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),(K,( the carrier of K,( the carrier of K,R2n,(R2 + 1))),<*b1*>))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),(K,( the carrier of K,( the carrier of K,R2n,(R2 + 1))),<*b1*>))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),(K,( the carrier of K,( the carrier of K,R2n,(R2 + 1))),<*b1*>))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),(K,( the carrier of K,( the carrier of K,R2n,(R2 + 1))),<*b1*>)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),(K,( the carrier of K,( the carrier of K,R2n,(R2 + 1))),<*b1*>))) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),(K,( the carrier of K,( the carrier of K,R2n,(R2 + 1))),<*b1*>))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b1 * ( the carrier of K,R2n,(R2 + 1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,(b1 * ( the carrier of K,R2n,(R2 + 1)))] is set
{1,(b1 * ( the carrier of K,R2n,(R2 + 1)))} is non empty V33() V37() set
{{1,(b1 * ( the carrier of K,R2n,(R2 + 1)))},{1}} is non empty V33() V37() set
{[1,(b1 * ( the carrier of K,R2n,(R2 + 1)))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1))))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(b1 * b12),( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))), Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))), the carrier of K
( the carrier of K,( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))) -tuples_on NAT
len ( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1))))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1)),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1))), Sum ( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1))), the carrier of K
( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,( the carrier of K,R2,R2n),(R2 |-> b1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,( the carrier of K,R2,R2n),(R2 |-> b1))) -tuples_on NAT
len (K,( the carrier of K,R2,R2n),(R2 |-> b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,( the carrier of K,R2,R2n),(R2 |-> b1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,( the carrier of K,R2,R2n),(R2 |-> b1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,( the carrier of K,R2,R2n),(R2 |-> b1))) -tuples_on NAT
Sum ( the carrier of K,(K,( the carrier of K,R2,R2n),(R2 |-> b1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1)))] is set
{1,( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1)))} is non empty V33() V37() set
{{1,( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1)))},{1}} is non empty V33() V37() set
{[1,( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1)))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of K,( the carrier of K,( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1)))),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1))))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(b1 * b12),( the carrier of K,( the carrier of K,( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1)))),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,( the carrier of K,( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1)))),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))), Sum ( the carrier of K,( the carrier of K,( the carrier of K,( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1)))),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))), the carrier of K
( the carrier of K,( the carrier of K,( the carrier of K,( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1)))),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,( the carrier of K,( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1)))),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,( the carrier of K,( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1)))),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))) -tuples_on NAT
len ( the carrier of K,( the carrier of K,( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1)))),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1))))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,( the carrier of K,( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1)))),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,( the carrier of K,( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1)))),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,( the carrier of K,( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1)))),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,( the carrier of K,( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1)))),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,( the carrier of K,( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1)))),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,( the carrier of K,( the carrier of K,(b1 * b12),(K,( the carrier of K,R2,R2n),(R2 |-> b1)))),( the carrier of K,(b1 * ( the carrier of K,R2n,(R2 + 1)))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,R2,R2n)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R2,R2n) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R2,R2n)) -tuples_on NAT
(len ( the carrier of K,R2,R2n)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,R2,R2n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,R2,R2n)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R2,R2n) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R2,R2n)) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,R2,R2n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,b12,( the carrier of K,R2,R2n)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,R2,R2n)), Sum ( the carrier of K,( the carrier of K,R2,R2n)), the carrier of K
b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,R2,R2n)), Sum ( the carrier of K,( the carrier of K,R2,R2n)), the carrier of K
( the carrier of K,(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n))),(b1 * ( the carrier of K,R2n,(R2 + 1)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
<*(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n)))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n)))] is set
{1,(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n)))} is non empty V33() V37() set
{{1,(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n)))},{1}} is non empty V33() V37() set
{[1,(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n)))]} is Relation-like non empty trivial V33() 1 -element set
<*(b1 * ( the carrier of K,R2n,(R2 + 1)))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n)))*> ^ <*(b1 * ( the carrier of K,R2n,(R2 + 1)))*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,(b1 * b12),( the carrier of K,(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n))),(b1 * ( the carrier of K,R2n,(R2 + 1))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n))),(b1 * ( the carrier of K,R2n,(R2 + 1))))), Sum ( the carrier of K,( the carrier of K,(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n))),(b1 * ( the carrier of K,R2n,(R2 + 1))))), the carrier of K
( the carrier of K,( the carrier of K,(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n))),(b1 * ( the carrier of K,R2n,(R2 + 1))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n))),(b1 * ( the carrier of K,R2n,(R2 + 1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n))),(b1 * ( the carrier of K,R2n,(R2 + 1))))) -tuples_on NAT
len ( the carrier of K,(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n))),(b1 * ( the carrier of K,R2n,(R2 + 1)))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n))),(b1 * ( the carrier of K,R2n,(R2 + 1))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n))),(b1 * ( the carrier of K,R2n,(R2 + 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n))),(b1 * ( the carrier of K,R2n,(R2 + 1))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n))),(b1 * ( the carrier of K,R2n,(R2 + 1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n))),(b1 * ( the carrier of K,R2n,(R2 + 1))))) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,(b1 * ( the carrier of K,b12,( the carrier of K,R2,R2n))),(b1 * ( the carrier of K,R2n,(R2 + 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,b12,( the carrier of K,R2,R2n)),( the carrier of K,R2n,(R2 + 1))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
<*( the carrier of K,b12,( the carrier of K,R2,R2n))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,( the carrier of K,b12,( the carrier of K,R2,R2n))] is set
{1,( the carrier of K,b12,( the carrier of K,R2,R2n))} is non empty V33() V37() set
{{1,( the carrier of K,b12,( the carrier of K,R2,R2n))},{1}} is non empty V33() V37() set
{[1,( the carrier of K,b12,( the carrier of K,R2,R2n))]} is Relation-like non empty trivial V33() 1 -element set
<*( the carrier of K,R2n,(R2 + 1))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*( the carrier of K,b12,( the carrier of K,R2,R2n))*> ^ <*( the carrier of K,R2n,(R2 + 1))*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,( the carrier of K,( the carrier of K,b12,( the carrier of K,R2,R2n)),( the carrier of K,R2n,(R2 + 1)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,( the carrier of K,b12,( the carrier of K,R2,R2n)),( the carrier of K,R2n,(R2 + 1))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,( the carrier of K,b12,( the carrier of K,R2,R2n)),( the carrier of K,R2n,(R2 + 1)))) -tuples_on NAT
len ( the carrier of K,( the carrier of K,b12,( the carrier of K,R2,R2n)),( the carrier of K,R2n,(R2 + 1))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,( the carrier of K,b12,( the carrier of K,R2,R2n)),( the carrier of K,R2n,(R2 + 1)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,( the carrier of K,b12,( the carrier of K,R2,R2n)),( the carrier of K,R2n,(R2 + 1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,( the carrier of K,b12,( the carrier of K,R2,R2n)),( the carrier of K,R2n,(R2 + 1)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,( the carrier of K,b12,( the carrier of K,R2,R2n)),( the carrier of K,R2n,(R2 + 1))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,( the carrier of K,b12,( the carrier of K,R2,R2n)),( the carrier of K,R2n,(R2 + 1)))) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,( the carrier of K,b12,( the carrier of K,R2,R2n)),( the carrier of K,R2n,(R2 + 1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,b12,( the carrier of K,( the carrier of K,b12,( the carrier of K,R2,R2n)),( the carrier of K,R2n,(R2 + 1)))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,( the carrier of K,b12,( the carrier of K,R2,R2n)),( the carrier of K,R2n,(R2 + 1)))), Sum ( the carrier of K,( the carrier of K,( the carrier of K,b12,( the carrier of K,R2,R2n)),( the carrier of K,R2n,(R2 + 1)))), the carrier of K
b1 * ( the carrier of K,b12,( the carrier of K,( the carrier of K,b12,( the carrier of K,R2,R2n)),( the carrier of K,R2n,(R2 + 1)))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,( the carrier of K,b12,( the carrier of K,R2,R2n)),( the carrier of K,R2n,(R2 + 1)))), Sum ( the carrier of K,( the carrier of K,( the carrier of K,b12,( the carrier of K,R2,R2n)),( the carrier of K,R2n,(R2 + 1)))), the carrier of K
R2 is Element of the carrier of K
b2 is Element of the carrier of K
R2 * b2 is Element of the carrier of K
b1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
len b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,b1) is Relation-like NAT -defined NAT -valued Function-like V33() len b1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b1) -tuples_on NAT
(len b1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,b1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,b1) is Relation-like NAT -defined NAT -valued Function-like V33() len b1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b1) -tuples_on NAT
Sum ( the carrier of K,b1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,b2,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,b1), Sum ( the carrier of K,b1), the carrier of K
R2 * ( the carrier of K,b2,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,b1), Sum ( the carrier of K,b1), the carrier of K
(len b1) |-> R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() len b1 -element FinSequence-like FinSubsequence-like Element of (len b1) -tuples_on the carrier of K
(len b1) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(K,b1,((len b1) |-> R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(R2 * b2),(K,b1,((len b1) |-> R2))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,b1,((len b1) |-> R2))), Sum ( the carrier of K,(K,b1,((len b1) |-> R2))), the carrier of K
( the carrier of K,(K,b1,((len b1) |-> R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,b1,((len b1) |-> R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,b1,((len b1) |-> R2))) -tuples_on NAT
len (K,b1,((len b1) |-> R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,b1,((len b1) |-> R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,b1,((len b1) |-> R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(K,b1,((len b1) |-> R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,b1,((len b1) |-> R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,b1,((len b1) |-> R2))) -tuples_on NAT
Sum ( the carrier of K,(K,b1,((len b1) |-> R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,b1,((len b1) |-> R2)) is V33() Element of bool NAT
dom b1 is V33() Element of bool NAT
len ( the carrier of K,(R2 * b2),(K,b1,((len b1) |-> R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,b2,b1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R2 * ( the carrier of K,b2,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
dom R1 is V33() Element of bool NAT
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R1 is V33() Element of bool NAT
rng R1 is V33() set
R2 is set
b2 is set
R1 . b2 is set
b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 . b1 is set
( the carrier of K,R1,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R2,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b1) + ( the carrier of K,R2,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of ( the carrier of K *) *
dom R2 is V33() Element of bool NAT
R2 . b2 is FinSequence-like set
( the carrier of K,R1,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R2,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b2) + ( the carrier of K,R2,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
b2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
dom b2 is V33() Element of bool NAT
b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,b2,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R2,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b1) + ( the carrier of K,R2,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
dom R1 is V33() Element of bool NAT
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
dom R2 is V33() Element of bool NAT
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,R1,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R2,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b2) + ( the carrier of K,R2,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R2,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
(K,R1,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
dom (K,R1,R2) is V33() Element of bool NAT
(K,R1,R2) . R2 is FinSequence-like set
( the carrier of K,(K,R1,R2),R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,R1,R2), len ( the carrier of K,R1,R2), the carrier of K
( the carrier of K,R1,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R2,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,R2) + ( the carrier of K,R2,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
len (( the carrier of K,R1,R2) + ( the carrier of K,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (( the carrier of K,R1,R2) + ( the carrier of K,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width ( the carrier of K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
(K,R1,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,R2)) -tuples_on NAT
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R1,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,(K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,R2)) -tuples_on NAT
dom ( the carrier of K,(K,R1,R2)) is V33() len (K,R1,R2) -element Element of bool NAT
dom (K,R1,R2) is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
dom ( the carrier of K,R1) is V33() len R1 -element Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,(K,R1,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,(K,R1,R2),R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,(K,R1,R2),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R2,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,R2) + ( the carrier of K,R2,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len (( the carrier of K,R1,R2) + ( the carrier of K,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
dom ( the carrier of K,(K,R1,R2)) is V33() len (K,R1,R2) -element Element of bool NAT
dom ( the carrier of K,R1) is V33() len R1 -element Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,(K,R1,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,(K,R1,R2),R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
width ( the carrier of K,(K,R1,R2),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R2,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,R2) + ( the carrier of K,R2,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
width (( the carrier of K,R1,R2) + ( the carrier of K,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width ( the carrier of K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R1,R1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R2,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
(K,R1,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(K,R1,R2),(K,R1,R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
len ( the carrier of K,R1,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,R1,R2) is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)) is V33() Element of bool NAT
dom ( the carrier of K,R1,R1) is V33() Element of bool NAT
len (K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,(K,R1,R2),(K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R1,R2)) + (len (K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,R1,R2) is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
dom R2 is V33() Element of bool NAT
b2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,R1,R1),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,R2,R2),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,R1,R1),b2n) + ( the carrier of K,( the carrier of K,R2,R2),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b2n) + ( the carrier of K,( the carrier of K,R2,R2),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R2,b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b2n) + ( the carrier of K,R2,b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,(K,R1,R2),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,(K,R1,R2),(K,R1,R2)),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len R1) + b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len R1) + b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R2 is V33() Element of bool NAT
( the carrier of K,R2,b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
dom R2 is V33() Element of bool NAT
dom ( the carrier of K,R2,R2) is V33() Element of bool NAT
( the carrier of K,R2,b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
dom R2 is V33() Element of bool NAT
( the carrier of K,R2,b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R2,b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b1n) + ( the carrier of K,R2,b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,(K,R1,R2),b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,(K,R1,R2),(K,R1,R2)),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,(K,R1,R2),(K,R1,R2)),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,(K,R1,R2),(K,R1,R2)),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R1 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
(K,( the carrier of K,R1),R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R2,1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R1 + ( the carrier of K,R2,1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,(R1 + ( the carrier of K,R2,1))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,(R1 + ( the carrier of K,R2,1))] is set
{1,(R1 + ( the carrier of K,R2,1))} is non empty V33() V37() set
{{1,(R1 + ( the carrier of K,R2,1))},{1}} is non empty V33() V37() set
{[1,(R1 + ( the carrier of K,R2,1))]} is Relation-like non empty trivial V33() 1 -element set
dom (K,( the carrier of K,R1),R2) is V33() Element of bool NAT
dom ( the carrier of K,R1) is non empty trivial V33() 1 -element Element of bool NAT
len (K,( the carrier of K,R1),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
{1} is non empty trivial V33() V37() 1 -element Element of bool NAT
( the carrier of K,(K,( the carrier of K,R1),R2),1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,R1),1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,R1),1) + ( the carrier of K,R2,1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
R1 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
R2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
(K,( the carrier of K,R1),( the carrier of K,R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
R1 + R2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,(R1 + R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,(R1 + R2)] is set
{1,(R1 + R2)} is non empty V33() V37() set
{{1,(R1 + R2)},{1}} is non empty V33() V37() set
{[1,(R1 + R2)]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of K,( the carrier of K,R2),1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R1 + ( the carrier of K,( the carrier of K,R2),1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,(R1 + ( the carrier of K,( the carrier of K,R2),1))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,(R1 + ( the carrier of K,( the carrier of K,R2),1))] is set
{1,(R1 + ( the carrier of K,( the carrier of K,R2),1))} is non empty V33() V37() set
{{1,(R1 + ( the carrier of K,( the carrier of K,R2),1))},{1}} is non empty V33() V37() set
{[1,(R1 + ( the carrier of K,( the carrier of K,R2),1))]} is Relation-like non empty trivial V33() 1 -element set
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
R1 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
<*R2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
<*R1*> ^ <*R2*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
R1 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R1 + R1 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
<*R2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
<*R1*> ^ <*R2*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
(K,( the carrier of K,R1,R2),( the carrier of K,R1,R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
R2 + R2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,(R1 + R1),(R2 + R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
<*(R1 + R1)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(R1 + R1)] is set
{1,(R1 + R1)} is non empty V33() V37() set
{{1,(R1 + R1)},{1}} is non empty V33() V37() set
{[1,(R1 + R1)]} is Relation-like non empty trivial V33() 1 -element set
<*(R2 + R2)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(R2 + R2)] is set
{1,(R2 + R2)} is non empty V33() V37() set
{{1,(R2 + R2)},{1}} is non empty V33() V37() set
{[1,(R2 + R2)]} is Relation-like non empty trivial V33() 1 -element set
<*(R1 + R1)*> ^ <*(R2 + R2)*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,R1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
len ( the carrier of K,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
( the carrier of K,R1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
len ( the carrier of K,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(K,( the carrier of K,R1),( the carrier of K,R1)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
(K,( the carrier of K,R2),( the carrier of K,R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(K,( the carrier of K,R1),( the carrier of K,R1)),(K,( the carrier of K,R2),( the carrier of K,R2))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(R2 + R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(K,( the carrier of K,R1),( the carrier of K,R1)),( the carrier of K,(R2 + R2))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of R1 is non empty non trivial set
the carrier of R1 * is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
R2 is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
width R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R2 is V33() Element of bool NAT
Line (R2,K) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on the carrier of R1
(width R2) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
R1 is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
width R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 + R1 is Relation-like NAT -defined the carrier of R1 * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of R1 *
Line ((R2 + R1),K) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width (R2 + R1) -element FinSequence-like FinSubsequence-like Element of (width (R2 + R1)) -tuples_on the carrier of R1
width (R2 + R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width (R2 + R1)) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
Line (R1,K) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of R1
(width R1) -tuples_on the carrier of R1 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R1
(Line (R2,K)) + (Line (R1,K)) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
the addF of R1 is Relation-like Function-like V21([: the carrier of R1, the carrier of R1:], the carrier of R1) Element of bool [:[: the carrier of R1, the carrier of R1:], the carrier of R1:]
[: the carrier of R1, the carrier of R1:] is Relation-like set
[:[: the carrier of R1, the carrier of R1:], the carrier of R1:] is Relation-like set
bool [:[: the carrier of R1, the carrier of R1:], the carrier of R1:] is set
the addF of R1 .: ((Line (R2,K)),(Line (R1,K))) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
<*> the carrier of R1 is Relation-like non-empty empty-yielding NAT -defined RAT -valued the carrier of R1 -valued Function-like functional empty V24() V25() V26() V28() V29() V30() V31() V33() V34() V37() cardinal {} -element FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative V141() V186() V187() V188() V189() FinSequence of the carrier of R1
R2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on the carrier of R1
b2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on the carrier of R1
R2 + b2 is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on the carrier of R1
the addF of R1 .: (R2,b2) is Relation-like NAT -defined the carrier of R1 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R1
Seg (width R2) is V15() V33() width R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R2 ) } is set
[K,(width R2)] is set
{K,(width R2)} is non empty V33() V37() set
{K} is non empty trivial V33() V37() 1 -element set
{{K,(width R2)},{K}} is non empty V33() V37() set
Indices R2 is set
[:(dom R2),(Seg (width R2)):] is Relation-like V33() set
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
R1 is Element of the carrier of K
R2 is Element of the carrier of K
R1 + R2 is Element of the carrier of K
R1 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1,b2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
<*b2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,b2] is set
{1,b2} is non empty V33() V37() set
{{1,b2},{1}} is non empty V33() V37() set
{[1,b2]} is Relation-like non empty trivial V33() 1 -element set
<*R1*> ^ <*b2*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,R1,( the carrier of K,R1,b2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,R1,b2)), Sum ( the carrier of K,( the carrier of K,R1,b2)), the carrier of K
( the carrier of K,( the carrier of K,R1,b2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R1,b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R1,b2)) -tuples_on NAT
len ( the carrier of K,R1,b2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,R1,b2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,R1,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,R1,b2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R1,b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R1,b2)) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,R1,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b1 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R2,b1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
<*R2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
<*b1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,b1] is set
{1,b1} is non empty V33() V37() set
{{1,b1},{1}} is non empty V33() V37() set
{[1,b1]} is Relation-like non empty trivial V33() 1 -element set
<*R2*> ^ <*b1*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,R2,( the carrier of K,R2,b1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,R2,b1)), Sum ( the carrier of K,( the carrier of K,R2,b1)), the carrier of K
( the carrier of K,( the carrier of K,R2,b1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R2,b1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R2,b1)) -tuples_on NAT
len ( the carrier of K,R2,b1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,R2,b1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,R2,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,R2,b1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R2,b1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R2,b1)) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,R2,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1,( the carrier of K,R1,b2)) + ( the carrier of K,R2,( the carrier of K,R2,b1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
(K,( the carrier of K,R1,b2),( the carrier of K,R2,b1)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(R1 + R2),(K,( the carrier of K,R1,b2),( the carrier of K,R2,b1))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R2,b1))), Sum ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R2,b1))), the carrier of K
( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R2,b1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,( the carrier of K,R1,b2),( the carrier of K,R2,b1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,( the carrier of K,R1,b2),( the carrier of K,R2,b1))) -tuples_on NAT
len (K,( the carrier of K,R1,b2),( the carrier of K,R2,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,( the carrier of K,R1,b2),( the carrier of K,R2,b1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R2,b1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R2,b1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,( the carrier of K,R1,b2),( the carrier of K,R2,b1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,( the carrier of K,R1,b2),( the carrier of K,R2,b1))) -tuples_on NAT
Sum ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R2,b1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2 + b1 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R1 + R2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len (( the carrier of K,R1,( the carrier of K,R1,b2)) + ( the carrier of K,R2,( the carrier of K,R2,b1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,R1,( the carrier of K,R1,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (( the carrier of K,R1,( the carrier of K,R1,b2)) + ( the carrier of K,R2,( the carrier of K,R2,b1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width ( the carrier of K,R1,( the carrier of K,R1,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R1 + R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + (len b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (b2 + b1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width R2) + (width b1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,(R1 + R2),(K,( the carrier of K,R1,b2),( the carrier of K,R2,b1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width ( the carrier of K,R2,( the carrier of K,R2,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (b2 + b1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (R1 + R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(R1 + R2),(b2 + b1)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
<*(R1 + R2)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(R1 + R2)] is set
{1,(R1 + R2)} is non empty V33() V37() set
{{1,(R1 + R2)},{1}} is non empty V33() V37() set
{[1,(R1 + R2)]} is Relation-like non empty trivial V33() 1 -element set
<*(b2 + b1)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(b2 + b1)] is set
{1,(b2 + b1)} is non empty V33() V37() set
{{1,(b2 + b1)},{1}} is non empty V33() V37() set
{[1,(b2 + b1)]} is Relation-like non empty trivial V33() 1 -element set
<*(R1 + R2)*> ^ <*(b2 + b1)*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
dom ( the carrier of K,R1,( the carrier of K,R1,b2)) is V33() Element of bool NAT
Seg (len ( the carrier of K,R1,( the carrier of K,R1,b2))) is V15() V33() len ( the carrier of K,R1,( the carrier of K,R1,b2)) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len ( the carrier of K,R1,( the carrier of K,R1,b2)) ) } is set
i is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
Seg (len ( the carrier of K,(R1 + R2),(K,( the carrier of K,R1,b2),( the carrier of K,R2,b1)))) is V15() V33() len ( the carrier of K,(R1 + R2),(K,( the carrier of K,R1,b2),( the carrier of K,R2,b1))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len ( the carrier of K,(R1 + R2),(K,( the carrier of K,R1,b2),( the carrier of K,R2,b1))) ) } is set
( the carrier of K,(R1 + R2),(K,( the carrier of K,R1,b2),( the carrier of K,R2,b1))) . i is FinSequence-like set
( the carrier of K,(R1 + R2),( the carrier of K,(R1 + R2),(b2 + b1))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,(R1 + R2),(b2 + b1))), Sum ( the carrier of K,( the carrier of K,(R1 + R2),(b2 + b1))), the carrier of K
( the carrier of K,( the carrier of K,(R1 + R2),(b2 + b1))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(R1 + R2),(b2 + b1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(R1 + R2),(b2 + b1))) -tuples_on NAT
len ( the carrier of K,(R1 + R2),(b2 + b1)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,(R1 + R2),(b2 + b1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,(R1 + R2),(b2 + b1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,(R1 + R2),(b2 + b1))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(R1 + R2),(b2 + b1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(R1 + R2),(b2 + b1))) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,(R1 + R2),(b2 + b1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (( the carrier of K,(R1 + R2),( the carrier of K,(R1 + R2),(b2 + b1))),i) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width ( the carrier of K,(R1 + R2),( the carrier of K,(R1 + R2),(b2 + b1))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of K,(R1 + R2),( the carrier of K,(R1 + R2),(b2 + b1)))) -tuples_on the carrier of K
width ( the carrier of K,(R1 + R2),( the carrier of K,(R1 + R2),(b2 + b1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width ( the carrier of K,(R1 + R2),( the carrier of K,(R1 + R2),(b2 + b1)))) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
bAB is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,R1,( the carrier of K,R1,b2)), width ( the carrier of K,R1,( the carrier of K,R1,b2)), the carrier of K
bAB . i is FinSequence-like set
Line ((( the carrier of K,R1,( the carrier of K,R1,b2)) + ( the carrier of K,R2,( the carrier of K,R2,b1))),i) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (( the carrier of K,R1,( the carrier of K,R1,b2)) + ( the carrier of K,R2,( the carrier of K,R2,b1))) -element FinSequence-like FinSubsequence-like Element of (width (( the carrier of K,R1,( the carrier of K,R1,b2)) + ( the carrier of K,R2,( the carrier of K,R2,b1)))) -tuples_on the carrier of K
(width (( the carrier of K,R1,( the carrier of K,R1,b2)) + ( the carrier of K,R2,( the carrier of K,R2,b1)))) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
R1 ^ b2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K *
dom (R1 ^ b2) is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
Line (R2,i) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on the carrier of K
(width R2) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
len (Line (R2,i)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R2 is V33() Element of bool NAT
Line (R1,i) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of K
(width R1) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
len (Line (R1,i)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (R1 + R2) is V33() Element of bool NAT
Line ((R1 + R2),i) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (R1 + R2) -element FinSequence-like FinSubsequence-like Element of (width (R1 + R2)) -tuples_on the carrier of K
(width (R1 + R2)) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(width (b2 + b1)) |-> (R1 + R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (b2 + b1) -element FinSequence-like FinSubsequence-like Element of (width (b2 + b1)) -tuples_on the carrier of K
(width (b2 + b1)) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(Line ((R1 + R2),i)) ^ ((width (b2 + b1)) |-> (R1 + R2)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width (R1 + R2)) + (width (b2 + b1)) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width (R1 + R2)) + (width (b2 + b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Line (R1,i)) + (Line (R2,i)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the addF of K is Relation-like Function-like V21([: the carrier of K, the carrier of K:], the carrier of K) Element of bool [:[: the carrier of K, the carrier of K:], the carrier of K:]
[: the carrier of K, the carrier of K:] is Relation-like set
[:[: the carrier of K, the carrier of K:], the carrier of K:] is Relation-like set
bool [:[: the carrier of K, the carrier of K:], the carrier of K:] is set
the addF of K .: ((Line (R1,i)),(Line (R2,i))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
((Line (R1,i)) + (Line (R2,i))) ^ ((width (b2 + b1)) |-> (R1 + R2)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width (b2 + b1)) |-> R1 is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (b2 + b1) -element FinSequence-like FinSubsequence-like Element of (width (b2 + b1)) -tuples_on the carrier of K
(width (b2 + b1)) |-> R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (b2 + b1) -element FinSequence-like FinSubsequence-like Element of (width (b2 + b1)) -tuples_on the carrier of K
((width (b2 + b1)) |-> R1) + ((width (b2 + b1)) |-> R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (b2 + b1) -element FinSequence-like FinSubsequence-like Element of (width (b2 + b1)) -tuples_on the carrier of K
the addF of K .: (((width (b2 + b1)) |-> R1),((width (b2 + b1)) |-> R2)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
((Line (R1,i)) + (Line (R2,i))) ^ (((width (b2 + b1)) |-> R1) + ((width (b2 + b1)) |-> R2)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width b2) |-> R1 is Relation-like NAT -defined the carrier of K -valued Function-like V33() width b2 -element FinSequence-like FinSubsequence-like Element of (width b2) -tuples_on the carrier of K
(width b2) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(Line (R1,i)) ^ ((width b2) |-> R1) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width R1) + (width b2) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width R1) + (width b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width b1) |-> R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() width b1 -element FinSequence-like FinSubsequence-like Element of (width b1) -tuples_on the carrier of K
(width b1) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(Line (R2,i)) ^ ((width b1) |-> R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width R2) + (width b1) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width R2) + (width b1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((Line (R1,i)) ^ ((width b2) |-> R1)) + ((Line (R2,i)) ^ ((width b1) |-> R2)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the addF of K .: (((Line (R1,i)) ^ ((width b2) |-> R1)),((Line (R2,i)) ^ ((width b1) |-> R2))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Line (( the carrier of K,R1,( the carrier of K,R1,b2)),i) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width ( the carrier of K,R1,( the carrier of K,R1,b2)) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of K,R1,( the carrier of K,R1,b2))) -tuples_on the carrier of K
(width ( the carrier of K,R1,( the carrier of K,R1,b2))) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(Line (( the carrier of K,R1,( the carrier of K,R1,b2)),i)) + ((Line (R2,i)) ^ ((width b1) |-> R2)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the addF of K .: ((Line (( the carrier of K,R1,( the carrier of K,R1,b2)),i)),((Line (R2,i)) ^ ((width b1) |-> R2))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Line (( the carrier of K,R2,( the carrier of K,R2,b1)),i) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width ( the carrier of K,R2,( the carrier of K,R2,b1)) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of K,R2,( the carrier of K,R2,b1))) -tuples_on the carrier of K
(width ( the carrier of K,R2,( the carrier of K,R2,b1))) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(Line (( the carrier of K,R1,( the carrier of K,R1,b2)),i)) + (Line (( the carrier of K,R2,( the carrier of K,R2,b1)),i)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the addF of K .: ((Line (( the carrier of K,R1,( the carrier of K,R1,b2)),i)),(Line (( the carrier of K,R2,( the carrier of K,R2,b1)),i))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
dom b2 is V33() Element of bool NAT
(width (R1 + R2)) |-> R1 is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (R1 + R2) -element FinSequence-like FinSubsequence-like Element of (width (R1 + R2)) -tuples_on the carrier of K
(width (R1 + R2)) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
len ((width (R1 + R2)) |-> R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom b1 is V33() Element of bool NAT
(width (R1 + R2)) |-> R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (R1 + R2) -element FinSequence-like FinSubsequence-like Element of (width (R1 + R2)) -tuples_on the carrier of K
len ((width (R1 + R2)) |-> R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
j is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len R1) + j is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
j is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len R1) + j is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (b2 + b1) is V33() Element of bool NAT
(width (R1 + R2)) |-> (R1 + R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (R1 + R2) -element FinSequence-like FinSubsequence-like Element of (width (R1 + R2)) -tuples_on the carrier of K
Line ((b2 + b1),j) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (b2 + b1) -element FinSequence-like FinSubsequence-like Element of (width (b2 + b1)) -tuples_on the carrier of K
(width (b2 + b1)) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
((width (R1 + R2)) |-> (R1 + R2)) ^ (Line ((b2 + b1),j)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width (R1 + R2)) + (width (b2 + b1)) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width (R1 + R2)) + (width (b2 + b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line (b2,j) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width b2 -element FinSequence-like FinSubsequence-like Element of (width b2) -tuples_on the carrier of K
(width b2) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
Line (b1,j) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width b1 -element FinSequence-like FinSubsequence-like Element of (width b1) -tuples_on the carrier of K
(width b1) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(Line (b2,j)) + (Line (b1,j)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the addF of K is Relation-like Function-like V21([: the carrier of K, the carrier of K:], the carrier of K) Element of bool [:[: the carrier of K, the carrier of K:], the carrier of K:]
[: the carrier of K, the carrier of K:] is Relation-like set
[:[: the carrier of K, the carrier of K:], the carrier of K:] is Relation-like set
bool [:[: the carrier of K, the carrier of K:], the carrier of K:] is set
the addF of K .: ((Line (b2,j)),(Line (b1,j))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
((width (R1 + R2)) |-> (R1 + R2)) ^ ((Line (b2,j)) + (Line (b1,j))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
((width (R1 + R2)) |-> R1) + ((width (R1 + R2)) |-> R2) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (R1 + R2) -element FinSequence-like FinSubsequence-like Element of (width (R1 + R2)) -tuples_on the carrier of K
the addF of K .: (((width (R1 + R2)) |-> R1),((width (R1 + R2)) |-> R2)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(((width (R1 + R2)) |-> R1) + ((width (R1 + R2)) |-> R2)) ^ ((Line (b2,j)) + (Line (b1,j))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
((width (R1 + R2)) |-> R1) ^ (Line (b2,j)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width (R1 + R2)) + (width b2) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width (R1 + R2)) + (width b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((width (R1 + R2)) |-> R2) ^ (Line (b1,j)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width (R1 + R2)) + (width b1) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width (R1 + R2)) + (width b1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(((width (R1 + R2)) |-> R1) ^ (Line (b2,j))) + (((width (R1 + R2)) |-> R2) ^ (Line (b1,j))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the addF of K .: ((((width (R1 + R2)) |-> R1) ^ (Line (b2,j))),(((width (R1 + R2)) |-> R2) ^ (Line (b1,j)))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Line (( the carrier of K,R1,( the carrier of K,R1,b2)),i) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width ( the carrier of K,R1,( the carrier of K,R1,b2)) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of K,R1,( the carrier of K,R1,b2))) -tuples_on the carrier of K
(width ( the carrier of K,R1,( the carrier of K,R1,b2))) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(width R2) |-> R2 is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R2 -element FinSequence-like FinSubsequence-like Element of (width R2) -tuples_on the carrier of K
(width R2) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
((width R2) |-> R2) ^ (Line (b1,j)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width R2) + (width b1) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width R2) + (width b1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(Line (( the carrier of K,R1,( the carrier of K,R1,b2)),i)) + (((width R2) |-> R2) ^ (Line (b1,j))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the addF of K .: ((Line (( the carrier of K,R1,( the carrier of K,R1,b2)),i)),(((width R2) |-> R2) ^ (Line (b1,j)))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Line (( the carrier of K,R2,( the carrier of K,R2,b1)),i) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width ( the carrier of K,R2,( the carrier of K,R2,b1)) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of K,R2,( the carrier of K,R2,b1))) -tuples_on the carrier of K
(width ( the carrier of K,R2,( the carrier of K,R2,b1))) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(Line (( the carrier of K,R1,( the carrier of K,R1,b2)),i)) + (Line (( the carrier of K,R2,( the carrier of K,R2,b1)),i)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the addF of K .: ((Line (( the carrier of K,R1,( the carrier of K,R1,b2)),i)),(Line (( the carrier of K,R2,( the carrier of K,R2,b1)),i))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
dom R1 is V33() Element of bool NAT
dom b2 is V33() Element of bool NAT
(( the carrier of K,R1,( the carrier of K,R1,b2)) + ( the carrier of K,R2,( the carrier of K,R2,b1))) . i is FinSequence-like set
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R1 is Element of the carrier of K
R2 is Element of the carrier of K
R1 + R2 is Element of the carrier of K
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
( the carrier of K,R1,R1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,R1), Sum ( the carrier of K,R1), the carrier of K
Sum ( the carrier of K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
( the carrier of K,R2,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,R2), Sum ( the carrier of K,R2), the carrier of K
Sum ( the carrier of K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1,R1) + ( the carrier of K,R2,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
(K,R1,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(R1 + R2),(K,R1,R2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,R1,R2)), Sum ( the carrier of K,(K,R1,R2)), the carrier of K
( the carrier of K,(K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,R2)) -tuples_on NAT
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R1,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
b2 + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
b12 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,b12) is Relation-like NAT -defined NAT -valued Function-like V33() len b12 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b12) -tuples_on NAT
len b12 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b12) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,b12) is Relation-like NAT -defined NAT -valued Function-like V33() len b12 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b12) -tuples_on NAT
R2n is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R2n) is Relation-like NAT -defined NAT -valued Function-like V33() len R2n -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2n) -tuples_on NAT
len R2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2n) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,R2n) is Relation-like NAT -defined NAT -valued Function-like V33() len R2n -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2n) -tuples_on NAT
(K,b12,R2n) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
b2n is Element of the carrier of K
( the carrier of K,b2n,b12) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,b12), Sum ( the carrier of K,b12), the carrier of K
Sum ( the carrier of K,b12) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b1n is Element of the carrier of K
( the carrier of K,b1n,R2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,R2n), Sum ( the carrier of K,R2n), the carrier of K
Sum ( the carrier of K,R2n) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,b2n,b12) + ( the carrier of K,b1n,R2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
b2n + b1n is Element of the carrier of K
( the carrier of K,(b2n + b1n),(K,b12,R2n)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,b12,R2n)), Sum ( the carrier of K,(K,b12,R2n)), the carrier of K
( the carrier of K,(K,b12,R2n)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,b12,R2n) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,b12,R2n)) -tuples_on NAT
len (K,b12,R2n) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,b12,R2n)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,b12,R2n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (b2 + 1) is non empty V15() V33() b2 + 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= b2 + 1 ) } is set
( the carrier of K,b2,R2n) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
Seg b2 is V15() V33() b2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= b2 ) } is set
R2n | (Seg b2) is Relation-like Seg b2 -defined NAT -defined ( the carrier of K *) * -valued V33() FinSubsequence-like set
( the carrier of K,b2,b12) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
b12 | (Seg b2) is Relation-like Seg b2 -defined NAT -defined ( the carrier of K *) * -valued V33() FinSubsequence-like set
( the carrier of K,b12,(b2 + 1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,b12,(b2 + 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,b12,(b2 + 1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,b12,(b2 + 1)), len ( the carrier of K,b12,(b2 + 1)), the carrier of K
( the carrier of K,(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b12,(b2 + 1))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,( the carrier of K,b12,(b2 + 1))] is set
{1,( the carrier of K,b12,(b2 + 1))} is non empty V33() V37() set
{{1,( the carrier of K,b12,(b2 + 1))},{1}} is non empty V33() V37() set
{[1,( the carrier of K,b12,(b2 + 1))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of K,( the carrier of K,b2,b12),( the carrier of K,(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b12,(b2 + 1)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,b1n,( the carrier of K,b2,R2n)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,b2,R2n)), Sum ( the carrier of K,( the carrier of K,b2,R2n)), the carrier of K
( the carrier of K,( the carrier of K,b2,R2n)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,b2,R2n) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,b2,R2n)) -tuples_on NAT
len ( the carrier of K,b2,R2n) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ( the carrier of K,b2,R2n)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,b2,R2n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,b2n,( the carrier of K,b2,b12)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,b2,b12)), Sum ( the carrier of K,( the carrier of K,b2,b12)), the carrier of K
( the carrier of K,( the carrier of K,b2,b12)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,b2,b12) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,b2,b12)) -tuples_on NAT
len ( the carrier of K,b2,b12) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ( the carrier of K,b2,b12)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,b2,b12)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ( the carrier of K,b12) is V33() len b12 -element Element of bool NAT
len ( the carrier of K,b12,(b2 + 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,b12) . (b2 + 1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,R2n,(b2 + 1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,R2n,(b2 + 1)), len ( the carrier of K,R2n,(b2 + 1)), the carrier of K
( the carrier of K,R2n,(b2 + 1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,R2n,(b2 + 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,R2n,(b2 + 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,R2n) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom ( the carrier of K,b12) is V33() len b12 -element Element of bool NAT
width ( the carrier of K,b12,(b2 + 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,b12) . (b2 + 1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
width ( the carrier of K,R2n,(b2 + 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,b12) | b2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
( the carrier of K,b12) | (Seg b2) is Relation-like Seg b2 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
len ( the carrier of K,b2n,( the carrier of K,b2,b12)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,b1n,( the carrier of K,b2,R2n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,b2,b12)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,b2,b12) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,b2,b12)) -tuples_on NAT
( the carrier of K,b12) | b2 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
( the carrier of K,b12) | (Seg b2) is Relation-like Seg b2 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
( the carrier of K,( the carrier of K,b2,R2n)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,b2,R2n) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,b2,R2n)) -tuples_on NAT
width ( the carrier of K,b2n,( the carrier of K,b2,b12)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum ( the carrier of K,( the carrier of K,b2,R2n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width ( the carrier of K,b1n,( the carrier of K,b2,R2n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,( the carrier of K,R2n,(b2 + 1))] is set
{1,( the carrier of K,R2n,(b2 + 1))} is non empty V33() V37() set
{{1,( the carrier of K,R2n,(b2 + 1))},{1}} is non empty V33() V37() set
{[1,( the carrier of K,R2n,(b2 + 1))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of K,( the carrier of K,b2,R2n),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
<*( the carrier of K,b2n,( the carrier of K,b2,b12))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,( the carrier of K,b2n,( the carrier of K,b2,b12))] is set
{1,( the carrier of K,b2n,( the carrier of K,b2,b12))} is non empty V33() V37() set
{{1,( the carrier of K,b2n,( the carrier of K,b2,b12))},{1}} is non empty V33() V37() set
{[1,( the carrier of K,b2n,( the carrier of K,b2,b12))]} is Relation-like non empty trivial V33() 1 -element set
<*( the carrier of K,b12,(b2 + 1))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*( the carrier of K,b2n,( the carrier of K,b2,b12))*> ^ <*( the carrier of K,b12,(b2 + 1))*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,b2n,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1)))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1)))), Sum ( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1)))), the carrier of K
( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1)))) -tuples_on NAT
len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,b1n,( the carrier of K,( the carrier of K,b2,R2n),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,( the carrier of K,b2,R2n),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1))))), Sum ( the carrier of K,( the carrier of K,( the carrier of K,b2,R2n),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1))))), the carrier of K
( the carrier of K,( the carrier of K,( the carrier of K,b2,R2n),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,( the carrier of K,b2,R2n),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,( the carrier of K,b2,R2n),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1))))) -tuples_on NAT
len ( the carrier of K,( the carrier of K,b2,R2n),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1)))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,( the carrier of K,b2,R2n),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,( the carrier of K,b2,R2n),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,b2n,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1)))) + ( the carrier of K,b1n,( the carrier of K,( the carrier of K,b2,R2n),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
<*( the carrier of K,b1n,( the carrier of K,b2,R2n))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,( the carrier of K,b1n,( the carrier of K,b2,R2n))] is set
{1,( the carrier of K,b1n,( the carrier of K,b2,R2n))} is non empty V33() V37() set
{{1,( the carrier of K,b1n,( the carrier of K,b2,R2n))},{1}} is non empty V33() V37() set
{[1,( the carrier of K,b1n,( the carrier of K,b2,R2n))]} is Relation-like non empty trivial V33() 1 -element set
<*( the carrier of K,R2n,(b2 + 1))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*( the carrier of K,b1n,( the carrier of K,b2,R2n))*> ^ <*( the carrier of K,R2n,(b2 + 1))*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,b1n,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1)))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1)))), Sum ( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1)))), the carrier of K
( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1)))) -tuples_on NAT
len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,b2n,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1)))) + ( the carrier of K,b1n,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1)))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
(K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(b2n + b1n),(K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1))))), Sum ( the carrier of K,(K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1))))), the carrier of K
( the carrier of K,(K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1))))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1))))) -tuples_on NAT
len (K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,b12))),(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b2n,( the carrier of K,b2,b12)),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,b2,R2n))),(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,b1n,( the carrier of K,b2,R2n)),( the carrier of K,R2n,(b2 + 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
<*(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n)))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n)))] is set
{1,(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n)))} is non empty V33() V37() set
{{1,(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n)))},{1}} is non empty V33() V37() set
{[1,(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n)))]} is Relation-like non empty trivial V33() 1 -element set
<*(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))] is set
{1,(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))} is non empty V33() V37() set
{{1,(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))},{1}} is non empty V33() V37() set
{[1,(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))]} is Relation-like non empty trivial V33() 1 -element set
<*(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n)))*> ^ <*(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,(b2n + b1n),( the carrier of K,(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))), Sum ( the carrier of K,( the carrier of K,(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))), the carrier of K
( the carrier of K,( the carrier of K,(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) -tuples_on NAT
len ( the carrier of K,(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,(( the carrier of K,b2n,( the carrier of K,b2,b12)) + ( the carrier of K,b1n,( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))), Sum ( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))), the carrier of K
( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))) -tuples_on NAT
len (K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
<*( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)))] is set
{1,( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)))} is non empty V33() V37() set
{{1,( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)))},{1}} is non empty V33() V37() set
{[1,( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)))]} is Relation-like non empty trivial V33() 1 -element set
<*( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)))*> ^ <*(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,(b2n + b1n),( the carrier of K,( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))), Sum ( the carrier of K,( the carrier of K,( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))), the carrier of K
( the carrier of K,( the carrier of K,( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) -tuples_on NAT
len ( the carrier of K,( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,( the carrier of K,(b2n + b1n),(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n))),(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),( the carrier of K,(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(b2n + b1n),( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),( the carrier of K,(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),( the carrier of K,(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))))), Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),( the carrier of K,(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))))), the carrier of K
( the carrier of K,( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),( the carrier of K,(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),( the carrier of K,(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),( the carrier of K,(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))))) -tuples_on NAT
len ( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),( the carrier of K,(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),( the carrier of K,(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),( the carrier of K,(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),( the carrier of K,(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),( the carrier of K,(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),( the carrier of K,(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))))) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),( the carrier of K,(( the carrier of K,b12,(b2 + 1)) + ( the carrier of K,R2n,(b2 + 1)))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,( the carrier of K,(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),(K,( the carrier of K,(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1))))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(b2n + b1n),( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),(K,( the carrier of K,(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1)))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),(K,( the carrier of K,(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1)))))), Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),(K,( the carrier of K,(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1)))))), the carrier of K
( the carrier of K,( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),(K,( the carrier of K,(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1)))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),(K,( the carrier of K,(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),(K,( the carrier of K,(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1)))))) -tuples_on NAT
len ( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),(K,( the carrier of K,(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),(K,( the carrier of K,(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1)))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,b2,b12),( the carrier of K,b2,R2n)),(K,( the carrier of K,(len ( the carrier of K,b12,(b2 + 1))),( the carrier of K,b12,(b2 + 1))),( the carrier of K,(len ( the carrier of K,R2n,(b2 + 1))),( the carrier of K,R2n,(b2 + 1)))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,b2) is Relation-like NAT -defined NAT -valued Function-like V33() len b2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b2) -tuples_on NAT
len b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,b2) is Relation-like NAT -defined NAT -valued Function-like V33() len b2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b2) -tuples_on NAT
b1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,b1) is Relation-like NAT -defined NAT -valued Function-like V33() len b1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b1) -tuples_on NAT
len b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,b1) is Relation-like NAT -defined NAT -valued Function-like V33() len b1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b1) -tuples_on NAT
(K,b2,b1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
b12 is Element of the carrier of K
( the carrier of K,b12,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,b2), Sum ( the carrier of K,b2), the carrier of K
Sum ( the carrier of K,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2n is Element of the carrier of K
( the carrier of K,R2n,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,b1), Sum ( the carrier of K,b1), the carrier of K
Sum ( the carrier of K,b1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,b12,b2) + ( the carrier of K,R2n,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
b12 + R2n is Element of the carrier of K
( the carrier of K,(b12 + R2n),(K,b2,b1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,b2,b1)), Sum ( the carrier of K,(K,b2,b1)), the carrier of K
( the carrier of K,(K,b2,b1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,b2,b1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,b2,b1)) -tuples_on NAT
len (K,b2,b1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,b2,b1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,b2,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,(b12 + R2n),(K,b2,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,b12,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (( the carrier of K,b12,b2) + ( the carrier of K,R2n,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
dom R1 is V33() Element of bool NAT
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 is Relation-like NAT -defined Function-like V33() FinSequence-like FinSubsequence-like set
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R1 is V33() Element of bool NAT
rng R1 is V33() set
R2 is set
b2 is set
R1 . b2 is set
b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 . b1 is set
( the carrier of K,R1,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R2,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b1) * ( the carrier of K,R2,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of ( the carrier of K *) *
dom R2 is V33() Element of bool NAT
R2 . b2 is FinSequence-like set
( the carrier of K,R1,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R2,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b2) * ( the carrier of K,R2,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
b2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
dom b2 is V33() Element of bool NAT
b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,b2,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R2,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b1) * ( the carrier of K,R2,b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
dom R1 is V33() Element of bool NAT
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
dom R2 is V33() Element of bool NAT
b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,R1,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R2,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b2) * ( the carrier of K,R2,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R2,b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
(K,R1,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,R2)) -tuples_on NAT
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R1,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,(K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,R2)) -tuples_on NAT
( the carrier of K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
dom ( the carrier of K,(K,R1,R2)) is V33() len (K,R1,R2) -element Element of bool NAT
dom (K,R1,R2) is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
dom ( the carrier of K,R2) is V33() len R2 -element Element of bool NAT
dom R2 is V33() Element of bool NAT
dom ( the carrier of K,R1) is V33() len R1 -element Element of bool NAT
dom ( the carrier of K,R1) is V33() len R1 -element Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,R1,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
width ( the carrier of K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,R2,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(K,R1,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,(K,R1,R2),R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,(K,R1,R2),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1,R2) * ( the carrier of K,R2,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len (( the carrier of K,R1,R2) * ( the carrier of K,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
dom ( the carrier of K,(K,R1,R2)) is V33() len (K,R1,R2) -element Element of bool NAT
dom ( the carrier of K,R2) is V33() len R2 -element Element of bool NAT
R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,R1,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
width ( the carrier of K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,R2,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(K,R1,R2)) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,(K,R1,R2),R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
width ( the carrier of K,(K,R1,R2),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1,R2) * ( the carrier of K,R2,R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
width (( the carrier of K,R1,R2) * ( the carrier of K,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width ( the carrier of K,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R2) . R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,R1,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R1,R1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R2,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
(K,R1,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(K,R1,R2),(K,R1,R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
len ( the carrier of K,R1,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,R1,R2) is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)) is V33() Element of bool NAT
dom ( the carrier of K,R1,R1) is V33() Element of bool NAT
len (K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,R2,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,(K,R1,R2),(K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R1,R2)) + (len (K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom (K,R1,R2) is V33() Element of bool NAT
dom R1 is V33() Element of bool NAT
dom R2 is V33() Element of bool NAT
b2n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,R1,R1),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,R2,R2),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,R1,R1),b2n) * ( the carrier of K,( the carrier of K,R2,R2),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b2n) * ( the carrier of K,( the carrier of K,R2,R2),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R2,b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b2n) * ( the carrier of K,R2,b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,(K,R1,R2),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,(K,R1,R2),(K,R1,R2)),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len R1) + b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
(len R1) + b1n is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R2 is V33() Element of bool NAT
( the carrier of K,R2,b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
dom R2 is V33() Element of bool NAT
dom ( the carrier of K,R2,R2) is V33() Element of bool NAT
( the carrier of K,R2,b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
dom R2 is V33() Element of bool NAT
( the carrier of K,R2,b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R2,b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,b1n) * ( the carrier of K,R2,b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,(K,R1,R2),b1n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,(K,R1,R2),(K,R1,R2)),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,(K,R1,R2),(K,R1,R2)),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,(K,R1,R2),(K,R1,R2)),b2n) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
R1 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
(K,( the carrier of K,R1),R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R2,1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R1 * ( the carrier of K,R2,1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,(R1 * ( the carrier of K,R2,1))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,(R1 * ( the carrier of K,R2,1))] is set
{1,(R1 * ( the carrier of K,R2,1))} is non empty V33() V37() set
{{1,(R1 * ( the carrier of K,R2,1))},{1}} is non empty V33() V37() set
{[1,(R1 * ( the carrier of K,R2,1))]} is Relation-like non empty trivial V33() 1 -element set
dom (K,( the carrier of K,R1),R2) is V33() Element of bool NAT
dom ( the carrier of K,R1) is non empty trivial V33() 1 -element Element of bool NAT
len (K,( the carrier of K,R1),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
{1} is non empty trivial V33() V37() 1 -element Element of bool NAT
( the carrier of K,(K,( the carrier of K,R1),R2),1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,R1),1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,( the carrier of K,R1),1) * ( the carrier of K,R2,1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
R1 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
R2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
(K,( the carrier of K,R1),( the carrier of K,R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
R1 * R2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,(R1 * R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,(R1 * R2)] is set
{1,(R1 * R2)} is non empty V33() V37() set
{{1,(R1 * R2)},{1}} is non empty V33() V37() set
{[1,(R1 * R2)]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of K,( the carrier of K,R2),1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R1 * ( the carrier of K,( the carrier of K,R2),1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,(R1 * ( the carrier of K,( the carrier of K,R2),1))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,(R1 * ( the carrier of K,( the carrier of K,R2),1))] is set
{1,(R1 * ( the carrier of K,( the carrier of K,R2),1))} is non empty V33() V37() set
{{1,(R1 * ( the carrier of K,( the carrier of K,R2),1))},{1}} is non empty V33() V37() set
{[1,(R1 * ( the carrier of K,( the carrier of K,R2),1))]} is Relation-like non empty trivial V33() 1 -element set
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
R1 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
<*R2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
<*R1*> ^ <*R2*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
R1 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R1 * R1 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
R2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,R1,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
<*R2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
<*R1*> ^ <*R2*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
(K,( the carrier of K,R1,R2),( the carrier of K,R1,R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
R2 * R2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,(R1 * R1),(R2 * R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
<*(R1 * R1)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(R1 * R1)] is set
{1,(R1 * R1)} is non empty V33() V37() set
{{1,(R1 * R1)},{1}} is non empty V33() V37() set
{[1,(R1 * R1)]} is Relation-like non empty trivial V33() 1 -element set
<*(R2 * R2)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(R2 * R2)] is set
{1,(R2 * R2)} is non empty V33() V37() set
{{1,(R2 * R2)},{1}} is non empty V33() V37() set
{[1,(R2 * R2)]} is Relation-like non empty trivial V33() 1 -element set
<*(R1 * R1)*> ^ <*(R2 * R2)*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,R1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
len ( the carrier of K,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
( the carrier of K,R1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
len ( the carrier of K,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(K,( the carrier of K,R1),( the carrier of K,R1)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
(K,( the carrier of K,R2),( the carrier of K,R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(K,( the carrier of K,R1),( the carrier of K,R1)),(K,( the carrier of K,R2),( the carrier of K,R2))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(R2 * R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(K,( the carrier of K,R1),( the carrier of K,R1)),( the carrier of K,(R2 * R2))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
K is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R2 is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of R2 is non empty non trivial set
K -tuples_on the carrier of R2 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R2
R1 -tuples_on the carrier of R2 is functional non empty FinSequence-membered FinSequenceSet of the carrier of R2
R1 is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() K -element FinSequence-like FinSubsequence-like Element of K -tuples_on the carrier of R2
R2 is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() K -element FinSequence-like FinSubsequence-like Element of K -tuples_on the carrier of R2
mlt (R1,R2) is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R2
the multF of R2 is Relation-like Function-like V21([: the carrier of R2, the carrier of R2:], the carrier of R2) Element of bool [:[: the carrier of R2, the carrier of R2:], the carrier of R2:]
[: the carrier of R2, the carrier of R2:] is Relation-like set
[:[: the carrier of R2, the carrier of R2:], the carrier of R2:] is Relation-like set
bool [:[: the carrier of R2, the carrier of R2:], the carrier of R2:] is set
the multF of R2 .: (R1,R2) is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R2
Sum (mlt (R1,R2)) is Element of the carrier of R2
b2 is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() R1 -element FinSequence-like FinSubsequence-like Element of R1 -tuples_on the carrier of R2
R1 ^ b2 is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R2
b1 is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() R1 -element FinSequence-like FinSubsequence-like Element of R1 -tuples_on the carrier of R2
R2 ^ b1 is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R2
mlt ((R1 ^ b2),(R2 ^ b1)) is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R2
the multF of R2 .: ((R1 ^ b2),(R2 ^ b1)) is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R2
Sum (mlt ((R1 ^ b2),(R2 ^ b1))) is Element of the carrier of R2
mlt (b2,b1) is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R2
the multF of R2 .: (b2,b1) is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R2
Sum (mlt (b2,b1)) is Element of the carrier of R2
(Sum (mlt (R1,R2))) + (Sum (mlt (b2,b1))) is Element of the carrier of R2
(mlt (R1,R2)) ^ (mlt (b2,b1)) is Relation-like NAT -defined the carrier of R2 -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of R2
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
0. K is V61(K) Element of the carrier of K
R1 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
width R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
width R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1,R1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
<*R1*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R1] is set
{1,R1} is non empty V33() V37() set
{{1,R1},{1}} is non empty V33() V37() set
{[1,R1]} is Relation-like non empty trivial V33() 1 -element set
<*R1*> ^ <*R1*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,(0. K),( the carrier of K,R1,R1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,R1,R1)), Sum ( the carrier of K,( the carrier of K,R1,R1)), the carrier of K
( the carrier of K,( the carrier of K,R1,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R1,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R1,R1)) -tuples_on NAT
len ( the carrier of K,R1,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,R1,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,R1,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,R1,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R1,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R1,R1)) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,R1,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R2,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
<*R2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
<*R2*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,R2] is set
{1,R2} is non empty V33() V37() set
{{1,R2},{1}} is non empty V33() V37() set
{[1,R2]} is Relation-like non empty trivial V33() 1 -element set
<*R2*> ^ <*R2*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,(0. K),( the carrier of K,R2,R2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,R2,R2)), Sum ( the carrier of K,( the carrier of K,R2,R2)), the carrier of K
( the carrier of K,( the carrier of K,R2,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R2,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R2,R2)) -tuples_on NAT
len ( the carrier of K,R2,R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,R2,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,R2,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R2,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R2,R2)) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(0. K),( the carrier of K,R1,R1)) * ( the carrier of K,(0. K),( the carrier of K,R2,R2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))), Sum ( the carrier of K,(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))), the carrier of K
( the carrier of K,(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) -tuples_on NAT
len (K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) -tuples_on NAT
Sum ( the carrier of K,(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 * R2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
width (R1 * R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,( the carrier of K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R2)) -tuples_on NAT
len ( the carrier of K,R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,( the carrier of K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R2)) -tuples_on NAT
len ( the carrier of K,R2) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,( the carrier of K,R2)) ^ ( the carrier of K,( the carrier of K,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() (len ( the carrier of K,R2)) + (len ( the carrier of K,R2)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len ( the carrier of K,R2)) + (len ( the carrier of K,R2)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
width ( the carrier of K,(0. K),( the carrier of K,R1,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,(0. K),( the carrier of K,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R1)) -tuples_on NAT
len ( the carrier of K,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
<*(width R1)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
1 -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
[1,(width R1)] is set
{1,(width R1)} is non empty V33() V37() set
{{1,(width R1)},{1}} is non empty V33() V37() set
{[1,(width R1)]} is Relation-like non empty trivial V33() 1 -element set
len ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width R2) + (width R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 * R2 is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len (R1 * R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(R1 * R2),(R1 * R2)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
<*(R1 * R2)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(R1 * R2)] is set
{1,(R1 * R2)} is non empty V33() V37() set
{{1,(R1 * R2)},{1}} is non empty V33() V37() set
{[1,(R1 * R2)]} is Relation-like non empty trivial V33() 1 -element set
<*(R1 * R2)*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(R1 * R2)] is set
{1,(R1 * R2)} is non empty V33() V37() set
{{1,(R1 * R2)},{1}} is non empty V33() V37() set
{[1,(R1 * R2)]} is Relation-like non empty trivial V33() 1 -element set
<*(R1 * R2)*> ^ <*(R1 * R2)*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,( the carrier of K,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R1)) -tuples_on NAT
len ( the carrier of K,R1) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,R1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
<*(width R1)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
[1,(width R1)] is set
{1,(width R1)} is non empty V33() V37() set
{{1,(width R1)},{1}} is non empty V33() V37() set
{[1,(width R1)]} is Relation-like non empty trivial V33() 1 -element set
<*(len R2)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
[1,(len R2)] is set
{1,(len R2)} is non empty V33() V37() set
{{1,(len R2)},{1}} is non empty V33() V37() set
{[1,(len R2)]} is Relation-like non empty trivial V33() 1 -element set
<*(len R2)*> is Relation-like NAT -defined NAT -valued Function-like one-to-one non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() V190() V191() V192() V193() Element of 1 -tuples_on NAT
[1,(len R2)] is set
{1,(len R2)} is non empty V33() V37() set
{{1,(len R2)},{1}} is non empty V33() V37() set
{[1,(len R2)]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of K,( the carrier of K,R1)) ^ ( the carrier of K,( the carrier of K,R1)) is Relation-like NAT -defined NAT -valued Function-like V33() (len ( the carrier of K,R1)) + (len ( the carrier of K,R1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
(len ( the carrier of K,R1)) + (len ( the carrier of K,R1)) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
len ( the carrier of K,(0. K),( the carrier of K,R1,R1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (( the carrier of K,(0. K),( the carrier of K,R1,R1)) * ( the carrier of K,(0. K),( the carrier of K,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (R1 * R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width ( the carrier of K,(0. K),( the carrier of K,R2,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (( the carrier of K,(0. K),( the carrier of K,R1,R1)) * ( the carrier of K,(0. K),( the carrier of K,R2,R2))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width (R1 * R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Indices (R1 * R2) is set
dom (R1 * R2) is V33() Element of bool NAT
Seg (width (R1 * R2)) is V15() V33() width (R1 * R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (R1 * R2) ) } is set
[:(dom (R1 * R2)),(Seg (width (R1 * R2))):] is Relation-like V33() set
Seg (len (R1 * R2)) is V15() V33() len (R1 * R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len (R1 * R2) ) } is set
[:(Seg (len (R1 * R2))),(Seg (width (R1 * R2))):] is Relation-like V33() set
dom R1 is V33() Element of bool NAT
Seg (width R2) is V15() V33() width R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R2 ) } is set
[:(dom R1),(Seg (width R2)):] is Relation-like V33() set
dom ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) is V33() Element of bool NAT
Seg (len ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)))) is V15() V33() len ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) ) } is set
i is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
j is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
[i,j] is set
{i,j} is non empty V33() V37() set
{i} is non empty trivial V33() V37() 1 -element set
{{i,j},{i}} is non empty V33() V37() set
Indices ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) is set
Seg (width ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)))) is V15() V33() width ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) ) } is set
[:(dom ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)))),(Seg (width ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))))):] is Relation-like V33() set
[:(Seg (len ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))))),(Seg (width ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))))):] is Relation-like V33() set
Indices (( the carrier of K,(0. K),( the carrier of K,R1,R1)) * ( the carrier of K,(0. K),( the carrier of K,R2,R2))) is set
dom (( the carrier of K,(0. K),( the carrier of K,R1,R1)) * ( the carrier of K,(0. K),( the carrier of K,R2,R2))) is V33() Element of bool NAT
Seg (width (( the carrier of K,(0. K),( the carrier of K,R1,R1)) * ( the carrier of K,(0. K),( the carrier of K,R2,R2)))) is V15() V33() width (( the carrier of K,(0. K),( the carrier of K,R1,R1)) * ( the carrier of K,(0. K),( the carrier of K,R2,R2))) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (( the carrier of K,(0. K),( the carrier of K,R1,R1)) * ( the carrier of K,(0. K),( the carrier of K,R2,R2))) ) } is set
[:(dom (( the carrier of K,(0. K),( the carrier of K,R1,R1)) * ( the carrier of K,(0. K),( the carrier of K,R2,R2)))),(Seg (width (( the carrier of K,(0. K),( the carrier of K,R1,R1)) * ( the carrier of K,(0. K),( the carrier of K,R2,R2))))):] is Relation-like V33() set
(( the carrier of K,(0. K),( the carrier of K,R1,R1)) * ( the carrier of K,(0. K),( the carrier of K,R2,R2))) * (i,j) is Element of the carrier of K
Line (( the carrier of K,(0. K),( the carrier of K,R1,R1)),i) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width ( the carrier of K,(0. K),( the carrier of K,R1,R1)) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of K,(0. K),( the carrier of K,R1,R1))) -tuples_on the carrier of K
(width ( the carrier of K,(0. K),( the carrier of K,R1,R1))) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
Col (( the carrier of K,(0. K),( the carrier of K,R2,R2)),j) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len ( the carrier of K,(0. K),( the carrier of K,R2,R2)) -element FinSequence-like FinSubsequence-like Element of (len ( the carrier of K,(0. K),( the carrier of K,R2,R2))) -tuples_on the carrier of K
(len ( the carrier of K,(0. K),( the carrier of K,R2,R2))) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(Line (( the carrier of K,(0. K),( the carrier of K,R1,R1)),i)) "*" (Col (( the carrier of K,(0. K),( the carrier of K,R2,R2)),j)) is Element of the carrier of K
mlt ((Line (( the carrier of K,(0. K),( the carrier of K,R1,R1)),i)),(Col (( the carrier of K,(0. K),( the carrier of K,R2,R2)),j))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the multF of K is Relation-like Function-like V21([: the carrier of K, the carrier of K:], the carrier of K) Element of bool [:[: the carrier of K, the carrier of K:], the carrier of K:]
[: the carrier of K, the carrier of K:] is Relation-like set
[:[: the carrier of K, the carrier of K:], the carrier of K:] is Relation-like set
bool [:[: the carrier of K, the carrier of K:], the carrier of K:] is set
the multF of K .: ((Line (( the carrier of K,(0. K),( the carrier of K,R1,R1)),i)),(Col (( the carrier of K,(0. K),( the carrier of K,R2,R2)),j))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Sum (mlt ((Line (( the carrier of K,(0. K),( the carrier of K,R1,R1)),i)),(Col (( the carrier of K,(0. K),( the carrier of K,R2,R2)),j)))) is Element of the carrier of K
Line (R1,i) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of K
(width R1) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(width R1) |-> (0. K) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of K
(width R1) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(Line (R1,i)) ^ ((width R1) |-> (0. K)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width R1) + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width R1) + (width R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line ((R1 * R2),i) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (R1 * R2) -element FinSequence-like FinSubsequence-like Element of (width (R1 * R2)) -tuples_on the carrier of K
(width (R1 * R2)) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
dom (Line ((R1 * R2),i)) is V33() width (R1 * R2) -element Element of bool NAT
Col (R2,j) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on the carrier of K
(len R2) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(len R2) |-> (0. K) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on the carrier of K
(len R2) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(Col (R2,j)) ^ ((len R2) |-> (0. K)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (len R2) + (len R2) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(len R2) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
mlt ((Line (R1,i)),(Col (R2,j))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the multF of K .: ((Line (R1,i)),(Col (R2,j))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Sum (mlt ((Line (R1,i)),(Col (R2,j)))) is Element of the carrier of K
mlt (((width R1) |-> (0. K)),((len R2) |-> (0. K))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the multF of K .: (((width R1) |-> (0. K)),((len R2) |-> (0. K))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Sum (mlt (((width R1) |-> (0. K)),((len R2) |-> (0. K)))) is Element of the carrier of K
(Sum (mlt ((Line (R1,i)),(Col (R2,j))))) + (Sum (mlt (((width R1) |-> (0. K)),((len R2) |-> (0. K))))) is Element of the carrier of K
(0. K) * ((width R1) |-> (0. K)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of K
(0. K) multfield is Relation-like Function-like V21( the carrier of K, the carrier of K) Element of bool [: the carrier of K, the carrier of K:]
bool [: the carrier of K, the carrier of K:] is set
id the carrier of K is Relation-like the carrier of K -defined the carrier of K -valued total Element of bool [: the carrier of K, the carrier of K:]
K323( the carrier of K, the carrier of K, the multF of K,(0. K),(id the carrier of K)) is Relation-like Function-like V21( the carrier of K, the carrier of K) Element of bool [: the carrier of K, the carrier of K:]
((0. K) multfield) * ((width R1) |-> (0. K)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Sum ((0. K) * ((width R1) |-> (0. K))) is Element of the carrier of K
(Sum (mlt ((Line (R1,i)),(Col (R2,j))))) + (Sum ((0. K) * ((width R1) |-> (0. K)))) is Element of the carrier of K
Sum ((width R1) |-> (0. K)) is Element of the carrier of K
(0. K) * (Sum ((width R1) |-> (0. K))) is Element of the carrier of K
(Sum (mlt ((Line (R1,i)),(Col (R2,j))))) + ((0. K) * (Sum ((width R1) |-> (0. K)))) is Element of the carrier of K
(Sum (mlt ((Line (R1,i)),(Col (R2,j))))) + (0. K) is Element of the carrier of K
(Line (R1,i)) "*" (Col (R2,j)) is Element of the carrier of K
(R1 * R2) * (i,j) is Element of the carrier of K
(Line ((R1 * R2),i)) . j is set
(width (R1 * R2)) |-> (0. K) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (R1 * R2) -element FinSequence-like FinSubsequence-like Element of (width (R1 * R2)) -tuples_on the carrier of K
(width (R1 * R2)) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(Line ((R1 * R2),i)) ^ ((width (R1 * R2)) |-> (0. K)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width (R1 * R2)) + (width (R1 * R2)) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width (R1 * R2)) + (width (R1 * R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((Line ((R1 * R2),i)) ^ ((width (R1 * R2)) |-> (0. K))) . j is set
Line (( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))),i) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)))) -tuples_on the carrier of K
(width ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)))) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(Line (( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))),i)) . j is set
( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) * (i,j) is Element of the carrier of K
j - (width R2) is V31() ext-real V141() set
I is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
I + (width R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line ((R1 * R2),i) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (R1 * R2) -element FinSequence-like FinSubsequence-like Element of (width (R1 * R2)) -tuples_on the carrier of K
(width (R1 * R2)) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
len (Line ((R1 * R2),i)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width (R1 * R2)) |-> (0. K) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (R1 * R2) -element FinSequence-like FinSubsequence-like Element of (width (R1 * R2)) -tuples_on the carrier of K
(width (R1 * R2)) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
dom ((width (R1 * R2)) |-> (0. K)) is V33() width (R1 * R2) -element Element of bool NAT
Seg (width R2) is V15() V33() width R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R2 ) } is set
Col (( the carrier of K,(0. K),( the carrier of K,R2,R2)),(I + (width R2))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len ( the carrier of K,(0. K),( the carrier of K,R2,R2)) -element FinSequence-like FinSubsequence-like Element of (len ( the carrier of K,(0. K),( the carrier of K,R2,R2))) -tuples_on the carrier of K
(len R2) |-> (0. K) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on the carrier of K
(len R2) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
Col (R2,I) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on the carrier of K
(len R2) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
((len R2) |-> (0. K)) ^ (Col (R2,I)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (len R2) + (len R2) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(len R2) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
mlt ((Line (R1,i)),((len R2) |-> (0. K))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the multF of K .: ((Line (R1,i)),((len R2) |-> (0. K))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Sum (mlt ((Line (R1,i)),((len R2) |-> (0. K)))) is Element of the carrier of K
mlt (((width R1) |-> (0. K)),(Col (R2,I))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the multF of K .: (((width R1) |-> (0. K)),(Col (R2,I))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Sum (mlt (((width R1) |-> (0. K)),(Col (R2,I)))) is Element of the carrier of K
(Sum (mlt ((Line (R1,i)),((len R2) |-> (0. K))))) + (Sum (mlt (((width R1) |-> (0. K)),(Col (R2,I))))) is Element of the carrier of K
(0. K) * (Col (R2,I)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on the carrier of K
(0. K) multfield is Relation-like Function-like V21( the carrier of K, the carrier of K) Element of bool [: the carrier of K, the carrier of K:]
bool [: the carrier of K, the carrier of K:] is set
id the carrier of K is Relation-like the carrier of K -defined the carrier of K -valued total Element of bool [: the carrier of K, the carrier of K:]
K323( the carrier of K, the carrier of K, the multF of K,(0. K),(id the carrier of K)) is Relation-like Function-like V21( the carrier of K, the carrier of K) Element of bool [: the carrier of K, the carrier of K:]
((0. K) multfield) * (Col (R2,I)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Sum ((0. K) * (Col (R2,I))) is Element of the carrier of K
(Sum (mlt ((Line (R1,i)),((len R2) |-> (0. K))))) + (Sum ((0. K) * (Col (R2,I)))) is Element of the carrier of K
(0. K) * (Line (R1,i)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of K
((0. K) multfield) * (Line (R1,i)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Sum ((0. K) * (Line (R1,i))) is Element of the carrier of K
(Sum ((0. K) * (Line (R1,i)))) + (Sum ((0. K) * (Col (R2,I)))) is Element of the carrier of K
Sum (Col (R2,I)) is Element of the carrier of K
(0. K) * (Sum (Col (R2,I))) is Element of the carrier of K
(Sum ((0. K) * (Line (R1,i)))) + ((0. K) * (Sum (Col (R2,I)))) is Element of the carrier of K
Sum (Line (R1,i)) is Element of the carrier of K
(0. K) * (Sum (Line (R1,i))) is Element of the carrier of K
((0. K) * (Sum (Line (R1,i)))) + ((0. K) * (Sum (Col (R2,I)))) is Element of the carrier of K
((0. K) * (Sum (Line (R1,i)))) + (0. K) is Element of the carrier of K
(0. K) + (0. K) is Element of the carrier of K
((width (R1 * R2)) |-> (0. K)) . I is set
(Line ((R1 * R2),i)) ^ ((width (R1 * R2)) |-> (0. K)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width (R1 * R2)) + (width (R1 * R2)) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width (R1 * R2)) + (width (R1 * R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
I + (width (R1 * R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
((Line ((R1 * R2),i)) ^ ((width (R1 * R2)) |-> (0. K))) . (I + (width (R1 * R2))) is set
Line (( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))),i) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)))) -tuples_on the carrier of K
(width ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)))) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(Line (( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))),i)) . j is set
( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) * (i,j) is Element of the carrier of K
( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) * (i,j) is Element of the carrier of K
( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) * (i,j) is Element of the carrier of K
i - (len R1) is V31() ext-real V141() set
I is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
I + (len R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
dom R1 is V33() Element of bool NAT
dom (R1 * R2) is V33() Element of bool NAT
Seg (len R1) is V15() V33() len R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= len R1 ) } is set
Line (( the carrier of K,(0. K),( the carrier of K,R1,R1)),(I + (len R1))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width ( the carrier of K,(0. K),( the carrier of K,R1,R1)) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of K,(0. K),( the carrier of K,R1,R1))) -tuples_on the carrier of K
(width R1) |-> (0. K) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of K
(width R1) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
Line (R1,I) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of K
(width R1) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
((width R1) |-> (0. K)) ^ (Line (R1,I)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width R1) + (width R1) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width R1) + (width R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(width (R1 * R2)) |-> (0. K) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (R1 * R2) -element FinSequence-like FinSubsequence-like Element of (width (R1 * R2)) -tuples_on the carrier of K
(width (R1 * R2)) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
dom ((width (R1 * R2)) |-> (0. K)) is V33() width (R1 * R2) -element Element of bool NAT
Col (R2,j) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on the carrier of K
(len R2) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(len R2) |-> (0. K) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on the carrier of K
(len R2) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(Col (R2,j)) ^ ((len R2) |-> (0. K)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (len R2) + (len R2) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(len R2) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
mlt (((width R1) |-> (0. K)),(Col (R2,j))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the multF of K .: (((width R1) |-> (0. K)),(Col (R2,j))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Sum (mlt (((width R1) |-> (0. K)),(Col (R2,j)))) is Element of the carrier of K
mlt ((Line (R1,I)),((len R2) |-> (0. K))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the multF of K .: ((Line (R1,I)),((len R2) |-> (0. K))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Sum (mlt ((Line (R1,I)),((len R2) |-> (0. K)))) is Element of the carrier of K
(Sum (mlt (((width R1) |-> (0. K)),(Col (R2,j))))) + (Sum (mlt ((Line (R1,I)),((len R2) |-> (0. K))))) is Element of the carrier of K
(0. K) * (Line (R1,I)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of K
(0. K) multfield is Relation-like Function-like V21( the carrier of K, the carrier of K) Element of bool [: the carrier of K, the carrier of K:]
bool [: the carrier of K, the carrier of K:] is set
id the carrier of K is Relation-like the carrier of K -defined the carrier of K -valued total Element of bool [: the carrier of K, the carrier of K:]
K323( the carrier of K, the carrier of K, the multF of K,(0. K),(id the carrier of K)) is Relation-like Function-like V21( the carrier of K, the carrier of K) Element of bool [: the carrier of K, the carrier of K:]
((0. K) multfield) * (Line (R1,I)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Sum ((0. K) * (Line (R1,I))) is Element of the carrier of K
(Sum (mlt (((width R1) |-> (0. K)),(Col (R2,j))))) + (Sum ((0. K) * (Line (R1,I)))) is Element of the carrier of K
(0. K) * (Col (R2,j)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on the carrier of K
((0. K) multfield) * (Col (R2,j)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Sum ((0. K) * (Col (R2,j))) is Element of the carrier of K
(Sum ((0. K) * (Col (R2,j)))) + (Sum ((0. K) * (Line (R1,I)))) is Element of the carrier of K
Sum (Line (R1,I)) is Element of the carrier of K
(0. K) * (Sum (Line (R1,I))) is Element of the carrier of K
(Sum ((0. K) * (Col (R2,j)))) + ((0. K) * (Sum (Line (R1,I)))) is Element of the carrier of K
Sum (Col (R2,j)) is Element of the carrier of K
(0. K) * (Sum (Col (R2,j))) is Element of the carrier of K
((0. K) * (Sum (Col (R2,j)))) + ((0. K) * (Sum (Line (R1,I)))) is Element of the carrier of K
((0. K) * (Sum (Col (R2,j)))) + (0. K) is Element of the carrier of K
(0. K) + (0. K) is Element of the carrier of K
((width (R1 * R2)) |-> (0. K)) . j is set
Line ((R1 * R2),I) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (R1 * R2) -element FinSequence-like FinSubsequence-like Element of (width (R1 * R2)) -tuples_on the carrier of K
(width (R1 * R2)) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
((width (R1 * R2)) |-> (0. K)) ^ (Line ((R1 * R2),I)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width (R1 * R2)) + (width (R1 * R2)) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width (R1 * R2)) + (width (R1 * R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(((width (R1 * R2)) |-> (0. K)) ^ (Line ((R1 * R2),I))) . j is set
Line (( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))),(I + (len R1))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)))) -tuples_on the carrier of K
(width ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)))) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(Line (( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))),(I + (len R1)))) . j is set
( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) * (i,j) is Element of the carrier of K
j - (width R2) is V31() ext-real V141() set
J is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
J + (width R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (width R2) is V15() V33() width R2 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width R2 ) } is set
[I,J] is set
{I,J} is non empty V33() V37() set
{I} is non empty trivial V33() V37() 1 -element set
{{I,J},{I}} is non empty V33() V37() set
Indices (R1 * R2) is set
Seg (width (R1 * R2)) is V15() V33() width (R1 * R2) -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= width (R1 * R2) ) } is set
[:(dom (R1 * R2)),(Seg (width (R1 * R2))):] is Relation-like V33() set
(width (R1 * R2)) |-> (0. K) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (R1 * R2) -element FinSequence-like FinSubsequence-like Element of (width (R1 * R2)) -tuples_on the carrier of K
(width (R1 * R2)) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
len ((width (R1 * R2)) |-> (0. K)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Line ((R1 * R2),I) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width (R1 * R2) -element FinSequence-like FinSubsequence-like Element of (width (R1 * R2)) -tuples_on the carrier of K
(width (R1 * R2)) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
dom (Line ((R1 * R2),I)) is V33() width (R1 * R2) -element Element of bool NAT
Col (( the carrier of K,(0. K),( the carrier of K,R2,R2)),(J + (width R2))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len ( the carrier of K,(0. K),( the carrier of K,R2,R2)) -element FinSequence-like FinSubsequence-like Element of (len ( the carrier of K,(0. K),( the carrier of K,R2,R2))) -tuples_on the carrier of K
(len R2) |-> (0. K) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on the carrier of K
(len R2) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
Col (R2,J) is Relation-like NAT -defined the carrier of K -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like Element of (len R2) -tuples_on the carrier of K
(len R2) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
((len R2) |-> (0. K)) ^ (Col (R2,J)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (len R2) + (len R2) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(len R2) + (len R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
mlt (((width R1) |-> (0. K)),((len R2) |-> (0. K))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the multF of K .: (((width R1) |-> (0. K)),((len R2) |-> (0. K))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Sum (mlt (((width R1) |-> (0. K)),((len R2) |-> (0. K)))) is Element of the carrier of K
mlt ((Line (R1,I)),(Col (R2,J))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
the multF of K .: ((Line (R1,I)),(Col (R2,J))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Sum (mlt ((Line (R1,I)),(Col (R2,J)))) is Element of the carrier of K
(Sum (mlt (((width R1) |-> (0. K)),((len R2) |-> (0. K))))) + (Sum (mlt ((Line (R1,I)),(Col (R2,J))))) is Element of the carrier of K
(0. K) * ((width R1) |-> (0. K)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width R1 -element FinSequence-like FinSubsequence-like Element of (width R1) -tuples_on the carrier of K
(0. K) multfield is Relation-like Function-like V21( the carrier of K, the carrier of K) Element of bool [: the carrier of K, the carrier of K:]
bool [: the carrier of K, the carrier of K:] is set
id the carrier of K is Relation-like the carrier of K -defined the carrier of K -valued total Element of bool [: the carrier of K, the carrier of K:]
K323( the carrier of K, the carrier of K, the multF of K,(0. K),(id the carrier of K)) is Relation-like Function-like V21( the carrier of K, the carrier of K) Element of bool [: the carrier of K, the carrier of K:]
((0. K) multfield) * ((width R1) |-> (0. K)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() FinSequence-like FinSubsequence-like FinSequence of the carrier of K
Sum ((0. K) * ((width R1) |-> (0. K))) is Element of the carrier of K
(Sum ((0. K) * ((width R1) |-> (0. K)))) + (Sum (mlt ((Line (R1,I)),(Col (R2,J))))) is Element of the carrier of K
Sum ((width R1) |-> (0. K)) is Element of the carrier of K
(0. K) * (Sum ((width R1) |-> (0. K))) is Element of the carrier of K
((0. K) * (Sum ((width R1) |-> (0. K)))) + (Sum (mlt ((Line (R1,I)),(Col (R2,J))))) is Element of the carrier of K
(0. K) + (Sum (mlt ((Line (R1,I)),(Col (R2,J))))) is Element of the carrier of K
(Line (R1,I)) "*" (Col (R2,J)) is Element of the carrier of K
(R1 * R2) * (I,J) is Element of the carrier of K
(Line ((R1 * R2),I)) . J is set
((width (R1 * R2)) |-> (0. K)) ^ (Line ((R1 * R2),I)) is Relation-like NAT -defined the carrier of K -valued Function-like V33() (width (R1 * R2)) + (width (R1 * R2)) -element FinSequence-like FinSubsequence-like FinSequence of the carrier of K
(width (R1 * R2)) + (width (R1 * R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(((width (R1 * R2)) |-> (0. K)) ^ (Line ((R1 * R2),I))) . (J + (width R2)) is set
Line (( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))),(I + (len R1))) is Relation-like NAT -defined the carrier of K -valued Function-like V33() width ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) -element FinSequence-like FinSubsequence-like Element of (width ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)))) -tuples_on the carrier of K
(width ( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2)))) -tuples_on the carrier of K is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
(Line (( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))),(I + (len R1)))) . j is set
( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) * (i,j) is Element of the carrier of K
( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) * (i,j) is Element of the carrier of K
( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) * (i,j) is Element of the carrier of K
( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) * (i,j) is Element of the carrier of K
( the carrier of K,(0. K),(K,( the carrier of K,R1,R1),( the carrier of K,R2,R2))) * (i,j) is Element of the carrier of K
K is non empty non degenerated non trivial right_complementable almost_left_invertible unital V127() V129() V144() V145() V146() right-distributive left-distributive right_unital well-unital V158() left_unital doubleLoopStr
the carrier of K is non empty non trivial set
the carrier of K * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K
( the carrier of K *) * is functional non empty FinSequence-membered FinSequenceSet of the carrier of K *
0. K is V61(K) Element of the carrier of K
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,(0. K),R1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,R1), Sum ( the carrier of K,R1), the carrier of K
( the carrier of K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
Sum ( the carrier of K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,(0. K),R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,R2), Sum ( the carrier of K,R2), the carrier of K
Sum ( the carrier of K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(0. K),R1) * ( the carrier of K,(0. K),R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
(K,R1,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(0. K),(K,R1,R2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,R1,R2)), Sum ( the carrier of K,(K,R1,R2)), the carrier of K
( the carrier of K,(K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,R2)) -tuples_on NAT
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R1,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,R2)) -tuples_on NAT
Sum ( the carrier of K,(K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
R1 + 1 is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
b2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,b2) is Relation-like NAT -defined NAT -valued Function-like V33() len b2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b2) -tuples_on NAT
len b2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,(0. K),b2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,b2), Sum ( the carrier of K,b2), the carrier of K
( the carrier of K,b2) is Relation-like NAT -defined NAT -valued Function-like V33() len b2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b2) -tuples_on NAT
Sum ( the carrier of K,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
b1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,b1) is Relation-like NAT -defined NAT -valued Function-like V33() len b1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len b1) -tuples_on NAT
len b1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len b1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,(0. K),b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,b1), Sum ( the carrier of K,b1), the carrier of K
Sum ( the carrier of K,b1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(0. K),b2) * ( the carrier of K,(0. K),b1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
(K,b2,b1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(0. K),(K,b2,b1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,b2,b1)), Sum ( the carrier of K,(K,b2,b1)), the carrier of K
( the carrier of K,(K,b2,b1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,b2,b1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,b2,b1)) -tuples_on NAT
len (K,b2,b1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,b2,b1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,b2,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(K,b2,b1)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,b2,b1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,b2,b1)) -tuples_on NAT
Sum ( the carrier of K,(K,b2,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Seg (R1 + 1) is non empty V15() V33() R1 + 1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R1 + 1 ) } is set
( the carrier of K,R1,b2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
Seg R1 is V15() V33() R1 -element Element of bool NAT
{ b₁ where b₁ is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT : ( 1 <= b₁ & b₁ <= R1 ) } is set
b2 | (Seg R1) is Relation-like Seg R1 -defined NAT -defined ( the carrier of K *) * -valued V33() FinSubsequence-like set
len ( the carrier of K,R1,b2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,R1,b1) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
b1 | (Seg R1) is Relation-like Seg R1 -defined NAT -defined ( the carrier of K *) * -valued V33() FinSubsequence-like set
len ( the carrier of K,b1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,R1,b1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(0. K),( the carrier of K,R1,b1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,R1,b1)), Sum ( the carrier of K,( the carrier of K,R1,b1)), the carrier of K
( the carrier of K,( the carrier of K,R1,b1)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R1,b1) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R1,b1)) -tuples_on NAT
(len ( the carrier of K,R1,b1)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,R1,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(0. K),( the carrier of K,R1,b2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,R1,b2)), Sum ( the carrier of K,( the carrier of K,R1,b2)), the carrier of K
( the carrier of K,( the carrier of K,R1,b2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R1,b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R1,b2)) -tuples_on NAT
(len ( the carrier of K,R1,b2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,R1,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,R1,b2)) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,R1,b2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,R1,b2)) -tuples_on NAT
( the carrier of K,b2) | R1 is Relation-like NAT -defined NAT -valued Function-like V33() FinSequence-like FinSubsequence-like V186() V187() V188() V189() FinSequence of NAT
( the carrier of K,b2) | (Seg R1) is Relation-like Seg R1 -defined NAT -defined NAT -valued RAT -valued V33() FinSubsequence-like V186() V187() V188() V189() set
dom ( the carrier of K,b2) is V33() len b2 -element Element of bool NAT
( the carrier of K,b2,(R1 + 1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,b2,(R1 + 1)), len ( the carrier of K,b2,(R1 + 1)), the carrier of K
( the carrier of K,b2,(R1 + 1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,b2,(R1 + 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width ( the carrier of K,b2,(R1 + 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,b1) . (R1 + 1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() set
( the carrier of K,b1,(R1 + 1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of len ( the carrier of K,b1,(R1 + 1)), len ( the carrier of K,b1,(R1 + 1)), the carrier of K
( the carrier of K,b1,(R1 + 1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
len ( the carrier of K,b1,(R1 + 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,b1,(R1 + 1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,b2,(R1 + 1))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,( the carrier of K,b2,(R1 + 1))] is set
{1,( the carrier of K,b2,(R1 + 1))} is non empty V33() V37() set
{{1,( the carrier of K,b2,(R1 + 1))},{1}} is non empty V33() V37() set
{[1,( the carrier of K,b2,(R1 + 1))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of K,( the carrier of K,R1,b2),( the carrier of K,(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,b2,(R1 + 1)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
width ( the carrier of K,(0. K),( the carrier of K,R1,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum ( the carrier of K,( the carrier of K,R1,b2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,(0. K),( the carrier of K,R1,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
[1,( the carrier of K,b1,(R1 + 1))] is set
{1,( the carrier of K,b1,(R1 + 1))} is non empty V33() V37() set
{{1,( the carrier of K,b1,(R1 + 1))},{1}} is non empty V33() V37() set
{[1,( the carrier of K,b1,(R1 + 1))]} is Relation-like non empty trivial V33() 1 -element set
( the carrier of K,( the carrier of K,R1,b1),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
<*( the carrier of K,(0. K),( the carrier of K,R1,b2))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,( the carrier of K,(0. K),( the carrier of K,R1,b2))] is set
{1,( the carrier of K,(0. K),( the carrier of K,R1,b2))} is non empty V33() V37() set
{{1,( the carrier of K,(0. K),( the carrier of K,R1,b2))},{1}} is non empty V33() V37() set
{[1,( the carrier of K,(0. K),( the carrier of K,R1,b2))]} is Relation-like non empty trivial V33() 1 -element set
<*( the carrier of K,b2,(R1 + 1))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*( the carrier of K,(0. K),( the carrier of K,R1,b2))*> ^ <*( the carrier of K,b2,(R1 + 1))*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,(0. K),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1)))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1)))), Sum ( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1)))), the carrier of K
( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1)))) -tuples_on NAT
len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(0. K),( the carrier of K,( the carrier of K,R1,b1),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,( the carrier of K,R1,b1),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1))))), Sum ( the carrier of K,( the carrier of K,( the carrier of K,R1,b1),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1))))), the carrier of K
( the carrier of K,( the carrier of K,( the carrier of K,R1,b1),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,( the carrier of K,R1,b1),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,( the carrier of K,R1,b1),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1))))) -tuples_on NAT
len ( the carrier of K,( the carrier of K,R1,b1),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1)))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,( the carrier of K,R1,b1),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,( the carrier of K,R1,b1),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(0. K),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1)))) * ( the carrier of K,(0. K),( the carrier of K,( the carrier of K,R1,b1),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
<*( the carrier of K,(0. K),( the carrier of K,R1,b1))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,( the carrier of K,(0. K),( the carrier of K,R1,b1))] is set
{1,( the carrier of K,(0. K),( the carrier of K,R1,b1))} is non empty V33() V37() set
{{1,( the carrier of K,(0. K),( the carrier of K,R1,b1))},{1}} is non empty V33() V37() set
{[1,( the carrier of K,(0. K),( the carrier of K,R1,b1))]} is Relation-like non empty trivial V33() 1 -element set
<*( the carrier of K,b1,(R1 + 1))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
<*( the carrier of K,(0. K),( the carrier of K,R1,b1))*> ^ <*( the carrier of K,b1,(R1 + 1))*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,(0. K),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1)))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1)))), Sum ( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1)))), the carrier of K
( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1)))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1)))) -tuples_on NAT
len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1)))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(0. K),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1)))) * ( the carrier of K,(0. K),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1)))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
(K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(0. K),(K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1))))), Sum ( the carrier of K,(K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1))))), the carrier of K
( the carrier of K,(K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1))))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1))))) -tuples_on NAT
len (K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1)))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1))))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1))))) -tuples_on NAT
Sum ( the carrier of K,(K,( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b2))),(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b2)),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(Sum ( the carrier of K,( the carrier of K,R1,b1))),(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,(0. K),( the carrier of K,R1,b1)),( the carrier of K,b1,(R1 + 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
( the carrier of K,(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
<*(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1)))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1)))] is set
{1,(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1)))} is non empty V33() V37() set
{{1,(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1)))},{1}} is non empty V33() V37() set
{[1,(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1)))]} is Relation-like non empty trivial V33() 1 -element set
<*(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))] is set
{1,(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))} is non empty V33() V37() set
{{1,(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))},{1}} is non empty V33() V37() set
{[1,(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))]} is Relation-like non empty trivial V33() 1 -element set
<*(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1)))*> ^ <*(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,(0. K),( the carrier of K,(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))), Sum ( the carrier of K,( the carrier of K,(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))), the carrier of K
( the carrier of K,( the carrier of K,(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) -tuples_on NAT
len ( the carrier of K,(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,(( the carrier of K,(0. K),( the carrier of K,R1,b2)) * ( the carrier of K,(0. K),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))), Sum ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))), the carrier of K
( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))) -tuples_on NAT
len (K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))) -tuples_on NAT
Sum ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() 2 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
<*( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)))*> is Relation-like NAT -defined Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like set
[1,( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)))] is set
{1,( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)))} is non empty V33() V37() set
{{1,( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)))},{1}} is non empty V33() V37() set
{[1,( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)))]} is Relation-like non empty trivial V33() 1 -element set
<*( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)))*> ^ <*(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))*> is Relation-like NAT -defined Function-like non empty V33() 1 + 1 -element FinSequence-like FinSubsequence-like set
( the carrier of K,(0. K),( the carrier of K,( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))), Sum ( the carrier of K,( the carrier of K,( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))), the carrier of K
( the carrier of K,( the carrier of K,( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) -tuples_on NAT
len ( the carrier of K,( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,( the carrier of K,(0. K),(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1))),(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty trivial V33() 1 -element FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),( the carrier of K,(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like non empty V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(0. K),( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),( the carrier of K,(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),( the carrier of K,(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))))), Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),( the carrier of K,(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))))), the carrier of K
( the carrier of K,( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),( the carrier of K,(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),( the carrier of K,(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),( the carrier of K,(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))))) -tuples_on NAT
len ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),( the carrier of K,(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) is non empty V24() V25() V26() V30() V31() V33() cardinal ext-real positive non negative V141() Element of NAT
(len ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),( the carrier of K,(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),( the carrier of K,(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),( the carrier of K,(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),( the carrier of K,(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),( the carrier of K,(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))))) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),( the carrier of K,(( the carrier of K,b2,(R1 + 1)) * ( the carrier of K,b1,(R1 + 1)))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(K,( the carrier of K,(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1)))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),(K,( the carrier of K,(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1))))) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(0. K),( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),(K,( the carrier of K,(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1)))))) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),(K,( the carrier of K,(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1)))))), Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),(K,( the carrier of K,(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1)))))), the carrier of K
( the carrier of K,( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),(K,( the carrier of K,(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1)))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),(K,( the carrier of K,(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),(K,( the carrier of K,(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1)))))) -tuples_on NAT
len ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),(K,( the carrier of K,(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),(K,( the carrier of K,(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1)))))) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),(K,( the carrier of K,(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1)))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),(K,( the carrier of K,(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1)))))) is Relation-like NAT -defined NAT -valued Function-like V33() len ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),(K,( the carrier of K,(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1))))) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len ( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),(K,( the carrier of K,(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1)))))) -tuples_on NAT
Sum ( the carrier of K,( the carrier of K,(K,( the carrier of K,R1,b2),( the carrier of K,R1,b1)),(K,( the carrier of K,(len ( the carrier of K,b2,(R1 + 1))),( the carrier of K,b2,(R1 + 1))),( the carrier of K,(len ( the carrier of K,b1,(R1 + 1))),( the carrier of K,b1,(R1 + 1)))))) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R1 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
len R1 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R1) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,(0. K),R1) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,R1), Sum ( the carrier of K,R1), the carrier of K
( the carrier of K,R1) is Relation-like NAT -defined NAT -valued Function-like V33() len R1 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R1) -tuples_on NAT
Sum ( the carrier of K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
R2 is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,R2) is Relation-like NAT -defined NAT -valued Function-like V33() len R2 -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len R2) -tuples_on NAT
len R2 is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len R2) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
( the carrier of K,(0. K),R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,R2), Sum ( the carrier of K,R2), the carrier of K
Sum ( the carrier of K,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(0. K),R1) * ( the carrier of K,(0. K),R2) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of K *
(K,R1,R2) is Relation-like NAT -defined ( the carrier of K *) * -valued Function-like V33() FinSequence-like FinSubsequence-like ( the carrier of K) FinSequence of ( the carrier of K *) *
( the carrier of K,(0. K),(K,R1,R2)) is Relation-like NAT -defined the carrier of K * -valued Function-like V33() FinSequence-like FinSubsequence-like tabular Matrix of Sum ( the carrier of K,(K,R1,R2)), Sum ( the carrier of K,(K,R1,R2)), the carrier of K
( the carrier of K,(K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,R2)) -tuples_on NAT
len (K,R1,R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
(len (K,R1,R2)) -tuples_on NAT is functional non empty FinSequence-membered FinSequenceSet of NAT
Sum ( the carrier of K,(K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
( the carrier of K,(K,R1,R2)) is Relation-like NAT -defined NAT -valued Function-like V33() len (K,R1,R2) -element FinSequence-like FinSubsequence-like V186() V187() V188() V189() Element of (len (K,R1,R2)) -tuples_on NAT
Sum ( the carrier of K,(K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
Sum ( the carrier of K,R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,(0. K),R2) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
width ( the carrier of K,(0. K),R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,(0. K),(K,R1,R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len ( the carrier of K,(0. K),R1) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT
len (( the carrier of K,(0. K),R1) * ( the carrier of K,(0. K),R2)) is V24() V25() V26() V30() V31() V33() cardinal ext-real non negative V141() Element of NAT