REAL is set
NAT is non empty epsilon-transitive epsilon-connected ordinal Element of K6(REAL)
K6(REAL) is set
omega is non empty epsilon-transitive epsilon-connected ordinal set
K6(omega) is set
K6(NAT) is set
COMPLEX is set
RAT is set
INT is set
1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
K7(1,1) is Relation-like set
K6(K7(1,1)) is set
K7(K7(1,1),1) is Relation-like set
K6(K7(K7(1,1),1)) is set
K7(K7(1,1),REAL) is Relation-like set
K6(K7(K7(1,1),REAL)) is set
K7(REAL,REAL) is Relation-like set
K7(K7(REAL,REAL),REAL) is Relation-like set
K6(K7(K7(REAL,REAL),REAL)) is set
2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
K7(2,2) is Relation-like set
K7(K7(2,2),REAL) is Relation-like set
K6(K7(K7(2,2),REAL)) is set
K6(K7(REAL,REAL)) is set
TOP-REAL 2 is non empty TopSpace-like V118() V143() V144() V145() V146() V147() V148() V149() strict RLTopStruct
the carrier of (TOP-REAL 2) is non empty set
K7( the carrier of (TOP-REAL 2),REAL) is Relation-like set
K6(K7( the carrier of (TOP-REAL 2),REAL)) is set
K6( the carrier of (TOP-REAL 2)) is set
the carrier of (TOP-REAL 2) * is non empty functional FinSequence-membered M11( the carrier of (TOP-REAL 2))
{} is set
the empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real Relation-like non-empty empty-yielding NAT -defined Function-like one-to-one constant functional V26() V27() V30() FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative set is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real Relation-like non-empty empty-yielding NAT -defined Function-like one-to-one constant functional V26() V27() V30() FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative set
3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
0 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
4 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
Euclid 2 is non empty strict Reflexive discerning symmetric triangle MetrStruct
the carrier of (Euclid 2) is non empty set
card {} is cardinal set
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(n -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
n + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(n + 2) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(n + 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
((n + 1) + 1) - 1 is V11() real ext-real Element of REAL
n is non empty TopSpace-like TopStruct
the carrier of n is non empty set
K6( the carrier of n) is set
C is Element of K6( the carrier of n)
f is Element of K6( the carrier of n)
f is Element of K6( the carrier of n)
G is Element of K6( the carrier of n)
n is non empty set
C is Relation-like NAT -defined n -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of n
f is Relation-like NAT -defined n -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of n
len C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f | (len f) is Relation-like NAT -defined n -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of n
C | (len f) is Relation-like NAT -defined n -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of n
C | (len C) is Relation-like NAT -defined n -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of n
f | (len C) is Relation-like NAT -defined n -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of n
C | (len C) is Relation-like NAT -defined n -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of n
f | (len f) is Relation-like NAT -defined n -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of n
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
C is non empty set
f is Relation-like NAT -defined C -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of C
dom f is V26() Element of K6(NAT)
Rev f is Relation-like NAT -defined C -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of C
dom (Rev f) is V26() Element of K6(NAT)
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len f) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f /. n is Element of C
((len f) + 1) -' n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n + G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Rev f) /. G is Element of C
G + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
G + n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(G + 1) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(G + n) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
C is non empty set
f is Relation-like NAT -defined C -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of C
Rev f is Relation-like NAT -defined C -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of C
dom (Rev f) is V26() Element of K6(NAT)
dom f is V26() Element of K6(NAT)
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len f) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Rev f) /. n is Element of C
f /. n is Element of C
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n + G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Rev f) /. G is Element of C
f /. G is Element of C
n is non empty set
n * is non empty functional FinSequence-membered M11(n)
C is Relation-like NAT -defined n * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular FinSequence of n *
f is Relation-like NAT -defined n -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of n
Rev f is Relation-like NAT -defined n -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of n
dom (Rev f) is V26() Element of K6(NAT)
Indices C is set
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Rev f) /. G is Element of n
(Rev f) /. (G + 1) is Element of n
dom f is V26() Element of K6(NAT)
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len f) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G + f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f /. f is Element of n
W is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
E is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[W,E] is set
{W,E} is V26() set
{W} is V26() set
{{W,E},{W}} is V26() V30() set
S is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[S,N] is set
{S,N} is V26() set
{S} is V26() set
{{S,N},{S}} is V26() V30() set
C * (W,E) is Element of n
C * (S,N) is Element of n
W - S is V11() real ext-real set
abs (W - S) is V11() real ext-real Element of REAL
E - N is V11() real ext-real set
abs (E - N) is V11() real ext-real Element of REAL
(abs (W - S)) + (abs (E - N)) is V11() real ext-real Element of REAL
S - W is V11() real ext-real set
abs (S - W) is V11() real ext-real Element of REAL
N - E is V11() real ext-real set
abs (N - E) is V11() real ext-real Element of REAL
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(G + 1) + k is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f /. k is Element of n
1 + k is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
G + (1 + k) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Rev f) /. G is Element of n
dom f is V26() Element of K6(NAT)
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len f) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G + f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f /. f is Element of n
W is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
E is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[W,E] is set
{W,E} is V26() set
{W} is V26() set
{{W,E},{W}} is V26() V30() set
C * (W,E) is Element of n
dom f is V26() Element of K6(NAT)
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f /. G is Element of n
f /. (G + 1) is Element of n
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len f) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G + f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Rev f) /. f is Element of n
W is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
E is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[W,E] is set
{W,E} is V26() set
{W} is V26() set
{{W,E},{W}} is V26() V30() set
S is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[S,N] is set
{S,N} is V26() set
{S} is V26() set
{{S,N},{S}} is V26() V30() set
C * (W,E) is Element of n
C * (S,N) is Element of n
W - S is V11() real ext-real set
abs (W - S) is V11() real ext-real Element of REAL
E - N is V11() real ext-real set
abs (E - N) is V11() real ext-real Element of REAL
(abs (W - S)) + (abs (E - N)) is V11() real ext-real Element of REAL
S - W is V11() real ext-real set
abs (S - W) is V11() real ext-real Element of REAL
N - E is V11() real ext-real set
abs (N - E) is V11() real ext-real Element of REAL
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(G + 1) + k is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Rev f) /. k is Element of n
1 + k is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
G + (1 + k) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f /. G is Element of n
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len f) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G + f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Rev f) /. f is Element of n
W is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
E is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[W,E] is set
{W,E} is V26() set
{W} is V26() set
{{W,E},{W}} is V26() V30() set
C * (W,E) is Element of n
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
C is Relation-like NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular FinSequence of the carrier of (TOP-REAL 2) *
Values C is V26() set
f is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f /. n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
dom f is V26() Element of K6(NAT)
f . n is set
rng f is V26() set
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
C is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
Indices C is set
f is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f /. n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
dom f is V26() Element of K6(NAT)
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[G,f] is set
{G,f} is V26() set
{G} is V26() set
{{G,f},{G}} is V26() V30() set
C * (G,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
C is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
C /^ n is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
L~ (C /^ n) is closed compact Element of K6( the carrier of (TOP-REAL 2))
f is set
len (C /^ n) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
LSeg ((C /^ n),G) is closed Element of K6( the carrier of (TOP-REAL 2))
(len C) - n is V11() real ext-real Element of REAL
n + (G + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
n + G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(n + G) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
LSeg (C,(n + G)) is closed Element of K6( the carrier of (TOP-REAL 2))
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
C is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
f is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f /. n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
left_cell (f,n,C) is Element of K6( the carrier of (TOP-REAL 2))
right_cell (f,n,C) is Element of K6( the carrier of (TOP-REAL 2))
LSeg (f,n) is closed Element of K6( the carrier of (TOP-REAL 2))
f /. (n + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg ((f /. n),(f /. (n + 1))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(left_cell (f,n,C)) /\ (right_cell (f,n,C)) is Element of K6( the carrier of (TOP-REAL 2))
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
C is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
f is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
left_cell (f,n,C) is Element of K6( the carrier of (TOP-REAL 2))
Int (left_cell (f,n,C)) is Element of K6( the carrier of (TOP-REAL 2))
right_cell (f,n,C) is Element of K6( the carrier of (TOP-REAL 2))
Int (right_cell (f,n,C)) is Element of K6( the carrier of (TOP-REAL 2))
Indices C is set
f /. n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f /. (n + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[G,f] is set
{G,f} is V26() set
{G} is V26() set
{{G,f},{G}} is V26() V30() set
C * (G,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
W is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
E is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[W,E] is set
{W,E} is V26() set
{W} is V26() set
{{W,E},{W}} is V26() V30() set
C * (W,E) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
G + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
W + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
E + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
len C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
width C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
E -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell (C,G,f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,G) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,G)) /\ (h_strip (C,f)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,(G -' 1),f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,(G -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,(G -' 1))) /\ (h_strip (C,f)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,G,(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,G) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,G)) /\ (h_strip (C,(f -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,G,f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,G)) /\ (h_strip (C,f)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,W,E) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,W) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,E) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,W)) /\ (h_strip (C,E)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,W,(E -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,(E -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,W)) /\ (h_strip (C,(E -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,(G -' 1),E) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,(G -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,E) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,(G -' 1))) /\ (h_strip (C,E)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,G,E) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,G) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,G)) /\ (h_strip (C,E)) is Element of K6( the carrier of (TOP-REAL 2))
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
C is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
f is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
left_cell (f,n,C) is Element of K6( the carrier of (TOP-REAL 2))
Int (left_cell (f,n,C)) is Element of K6( the carrier of (TOP-REAL 2))
right_cell (f,n,C) is Element of K6( the carrier of (TOP-REAL 2))
Int (right_cell (f,n,C)) is Element of K6( the carrier of (TOP-REAL 2))
Indices C is set
f /. n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f /. (n + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[G,f] is set
{G,f} is V26() set
{G} is V26() set
{{G,f},{G}} is V26() V30() set
C * (G,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
W is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
E is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[W,E] is set
{W,E} is V26() set
{W} is V26() set
{{W,E},{W}} is V26() V30() set
C * (W,E) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
G + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
W + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
E + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
len C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
width C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
E -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell (C,G,f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,G) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,G)) /\ (h_strip (C,f)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,(G -' 1),f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,(G -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,(G -' 1))) /\ (h_strip (C,f)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,G,(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,G) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,G)) /\ (h_strip (C,(f -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,G,f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,G)) /\ (h_strip (C,f)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,W,E) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,W) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,E) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,W)) /\ (h_strip (C,E)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,W,(E -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,(E -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,W)) /\ (h_strip (C,(E -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,(G -' 1),E) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,(G -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,E) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,(G -' 1))) /\ (h_strip (C,E)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,G,E) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,G) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,G)) /\ (h_strip (C,E)) is Element of K6( the carrier of (TOP-REAL 2))
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
C is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
f is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
left_cell (f,n,C) is Element of K6( the carrier of (TOP-REAL 2))
Int (left_cell (f,n,C)) is Element of K6( the carrier of (TOP-REAL 2))
Cl (Int (left_cell (f,n,C))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell (f,n,C) is Element of K6( the carrier of (TOP-REAL 2))
Int (right_cell (f,n,C)) is Element of K6( the carrier of (TOP-REAL 2))
Cl (Int (right_cell (f,n,C))) is Element of K6( the carrier of (TOP-REAL 2))
Indices C is set
f /. n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f /. (n + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[G,f] is set
{G,f} is V26() set
{G} is V26() set
{{G,f},{G}} is V26() V30() set
C * (G,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
W is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
E is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[W,E] is set
{W,E} is V26() set
{W} is V26() set
{{W,E},{W}} is V26() V30() set
C * (W,E) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
G + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
W + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
E + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
len C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
width C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
E -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell (C,G,f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,G) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,G)) /\ (h_strip (C,f)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,(G -' 1),f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,(G -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,(G -' 1))) /\ (h_strip (C,f)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,G,(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,G) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,G)) /\ (h_strip (C,(f -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,G,f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,G)) /\ (h_strip (C,f)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,W,E) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,W) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,E) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,W)) /\ (h_strip (C,E)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,W,(E -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,(E -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,W)) /\ (h_strip (C,(E -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,(G -' 1),E) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,(G -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,E) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,(G -' 1))) /\ (h_strip (C,E)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,G,E) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,G) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,G)) /\ (h_strip (C,E)) is Element of K6( the carrier of (TOP-REAL 2))
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
C is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
width C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
LSeg (f,n) is closed Element of K6( the carrier of (TOP-REAL 2))
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
Indices C is set
f /. n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[G,f] is set
{G,f} is V26() set
{G} is V26() set
{{G,f},{G}} is V26() V30() set
C * (G,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
C * (1,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(C * (1,f)) `2 is V11() real ext-real Element of REAL
W is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
W `2 is V11() real ext-real Element of REAL
len C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(f /. n) `2 is V11() real ext-real Element of REAL
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
C * (1,1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(C * (1,1)) `2 is V11() real ext-real Element of REAL
G is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G `2 is V11() real ext-real Element of REAL
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
C is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
len C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
LSeg (f,n) is closed Element of K6( the carrier of (TOP-REAL 2))
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
Indices C is set
f /. n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[G,f] is set
{G,f} is V26() set
{G} is V26() set
{{G,f},{G}} is V26() V30() set
C * (G,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
C * (G,1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(C * (G,1)) `1 is V11() real ext-real Element of REAL
W is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
W `1 is V11() real ext-real Element of REAL
width C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(f /. n) `1 is V11() real ext-real Element of REAL
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
C * (1,1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(C * (1,1)) `1 is V11() real ext-real Element of REAL
G is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G `1 is V11() real ext-real Element of REAL
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
width f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell (f,n,C) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (f,n) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (f,C) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (f,n)) /\ (h_strip (f,C)) is Element of K6( the carrier of (TOP-REAL 2))
Int (cell (f,n,C)) is Element of K6( the carrier of (TOP-REAL 2))
G is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
L~ G is closed compact Element of K6( the carrier of (TOP-REAL 2))
Int (v_strip (f,n)) is Element of K6( the carrier of (TOP-REAL 2))
Int (h_strip (f,C)) is Element of K6( the carrier of (TOP-REAL 2))
(Int (v_strip (f,n))) /\ (Int (h_strip (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
f is set
len G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
{ (LSeg (G,b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT : ( 1 <= b1 & b1 + 1 <= len G ) } is set
union { (LSeg (G,b1)) where b1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT : ( 1 <= b1 & b1 + 1 <= len G ) } is set
W is set
E is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
LSeg (G,E) is closed Element of K6( the carrier of (TOP-REAL 2))
E + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f * (1,N) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (1,N)) `2 is V11() real ext-real Element of REAL
C + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
S is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f * (1,C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (1,C)) `2 is V11() real ext-real Element of REAL
S `2 is V11() real ext-real Element of REAL
S `2 is V11() real ext-real Element of REAL
f * (1,(C + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (1,(C + 1))) `2 is V11() real ext-real Element of REAL
S `2 is V11() real ext-real Element of REAL
S `2 is V11() real ext-real Element of REAL
N is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f * (N,1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (N,1)) `1 is V11() real ext-real Element of REAL
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
S is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f * (n,1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (n,1)) `1 is V11() real ext-real Element of REAL
S `1 is V11() real ext-real Element of REAL
S `1 is V11() real ext-real Element of REAL
f * ((n + 1),1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * ((n + 1),1)) `1 is V11() real ext-real Element of REAL
S `1 is V11() real ext-real Element of REAL
S `1 is V11() real ext-real Element of REAL
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
C is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
f is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
left_cell (f,n,C) is Element of K6( the carrier of (TOP-REAL 2))
Int (left_cell (f,n,C)) is Element of K6( the carrier of (TOP-REAL 2))
L~ f is closed compact Element of K6( the carrier of (TOP-REAL 2))
right_cell (f,n,C) is Element of K6( the carrier of (TOP-REAL 2))
Int (right_cell (f,n,C)) is Element of K6( the carrier of (TOP-REAL 2))
Indices C is set
f /. n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f /. (n + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[G,f] is set
{G,f} is V26() set
{G} is V26() set
{{G,f},{G}} is V26() V30() set
C * (G,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
W is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
E is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[W,E] is set
{W,E} is V26() set
{W} is V26() set
{{W,E},{W}} is V26() V30() set
C * (W,E) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
G + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
W + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
E + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
len C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
width C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
E -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell (C,G,f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,G) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,G)) /\ (h_strip (C,f)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,(G -' 1),f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,(G -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,(G -' 1))) /\ (h_strip (C,f)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,G,(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,G) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,G)) /\ (h_strip (C,(f -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,G,f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,G)) /\ (h_strip (C,f)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,W,E) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,W) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,E) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,W)) /\ (h_strip (C,E)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,W,(E -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,(E -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,W)) /\ (h_strip (C,(E -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,(G -' 1),E) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,(G -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,E) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,(G -' 1))) /\ (h_strip (C,E)) is Element of K6( the carrier of (TOP-REAL 2))
cell (C,G,E) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,G) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,G)) /\ (h_strip (C,E)) is Element of K6( the carrier of (TOP-REAL 2))
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
C + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
width f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f * (n,C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (n,C)) `1 is V11() real ext-real Element of REAL
f * (n,(C + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (n,(C + 1))) `1 is V11() real ext-real Element of REAL
(f * (n,C)) `2 is V11() real ext-real Element of REAL
f * ((n + 1),C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * ((n + 1),C)) `2 is V11() real ext-real Element of REAL
f * ((n + 1),(C + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * ((n + 1),(C + 1))) `1 is V11() real ext-real Element of REAL
(f * ((n + 1),C)) `1 is V11() real ext-real Element of REAL
(f * ((n + 1),(C + 1))) `2 is V11() real ext-real Element of REAL
(f * (n,(C + 1))) `2 is V11() real ext-real Element of REAL
f * (n,1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (n,1)) `1 is V11() real ext-real Element of REAL
f * (1,C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (1,C)) `2 is V11() real ext-real Element of REAL
f * ((n + 1),1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * ((n + 1),1)) `1 is V11() real ext-real Element of REAL
f * (1,(C + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (1,(C + 1))) `2 is V11() real ext-real Element of REAL
n is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
len n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
width n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
C is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
C `1 is V11() real ext-real Element of REAL
C `2 is V11() real ext-real Element of REAL
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell (n,f,G) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (n,f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (n,G) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (n,f)) /\ (h_strip (n,G)) is Element of K6( the carrier of (TOP-REAL 2))
n * (f,G) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(n * (f,G)) `1 is V11() real ext-real Element of REAL
n * ((f + 1),G) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(n * ((f + 1),G)) `1 is V11() real ext-real Element of REAL
(n * (f,G)) `2 is V11() real ext-real Element of REAL
n * (f,(G + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(n * (f,(G + 1))) `2 is V11() real ext-real Element of REAL
{ |[b1,b2]| where b1, b2 is V11() real ext-real Element of REAL : ( (n * (f,G)) `2 <= b2 & b2 <= (n * (f,(G + 1))) `2 ) } is set
{ |[b1,b2]| where b1, b2 is V11() real ext-real Element of REAL : ( (n * (f,G)) `1 <= b1 & b1 <= (n * ((f + 1),G)) `1 ) } is set
f is V11() real ext-real Element of REAL
W is V11() real ext-real Element of REAL
|[f,W]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
f is V11() real ext-real Element of REAL
W is V11() real ext-real Element of REAL
|[f,W]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
|[(C `1),(C `2)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
C + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
width f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell (f,n,C) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (f,n) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (f,C) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (f,n)) /\ (h_strip (f,C)) is Element of K6( the carrier of (TOP-REAL 2))
f * (n,C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (n,C)) `1 is V11() real ext-real Element of REAL
f * ((n + 1),C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * ((n + 1),C)) `1 is V11() real ext-real Element of REAL
(f * (n,C)) `2 is V11() real ext-real Element of REAL
f * (n,(C + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (n,(C + 1))) `2 is V11() real ext-real Element of REAL
{ |[b1,b2]| where b1, b2 is V11() real ext-real Element of REAL : ( (f * (n,C)) `1 <= b1 & b1 <= (f * ((n + 1),C)) `1 & (f * (n,C)) `2 <= b2 & b2 <= (f * (n,(C + 1))) `2 ) } is set
f is set
W is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
W `2 is V11() real ext-real Element of REAL
W `1 is V11() real ext-real Element of REAL
|[(W `1),(W `2)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
f is set
W is V11() real ext-real Element of REAL
E is V11() real ext-real Element of REAL
|[W,E]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
S is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
S `1 is V11() real ext-real Element of REAL
S `2 is V11() real ext-real Element of REAL
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
C + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
width f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
Values f is V26() set
cell (f,n,C) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (f,n) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (f,C) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (f,n)) /\ (h_strip (f,C)) is Element of K6( the carrier of (TOP-REAL 2))
f * (n,C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f * (n,(C + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f * ((n + 1),(C + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f * ((n + 1),C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
Indices f is set
{ (f * (b1,b2)) where b1, b2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT : [b1,b2] in Indices f } is set
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
W is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f * (f,W) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
[f,W] is set
{f,W} is V26() set
{f} is V26() set
{{f,W},{f}} is V26() V30() set
f * (f,C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (f,C)) `2 is V11() real ext-real Element of REAL
(f * (f,W)) `2 is V11() real ext-real Element of REAL
f * (1,C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (1,C)) `2 is V11() real ext-real Element of REAL
(f * (n,C)) `2 is V11() real ext-real Element of REAL
(f * (f,W)) `2 is V11() real ext-real Element of REAL
f * (f,(C + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (f,(C + 1))) `2 is V11() real ext-real Element of REAL
f * (1,(C + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (1,(C + 1))) `2 is V11() real ext-real Element of REAL
(f * (n,(C + 1))) `2 is V11() real ext-real Element of REAL
f * (n,W) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (n,W)) `1 is V11() real ext-real Element of REAL
(f * (f,W)) `1 is V11() real ext-real Element of REAL
f * (n,1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (n,1)) `1 is V11() real ext-real Element of REAL
(f * (n,C)) `1 is V11() real ext-real Element of REAL
(f * (f,W)) `1 is V11() real ext-real Element of REAL
f * ((n + 1),W) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * ((n + 1),W)) `1 is V11() real ext-real Element of REAL
f * ((n + 1),1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * ((n + 1),1)) `1 is V11() real ext-real Element of REAL
(f * ((n + 1),C)) `1 is V11() real ext-real Element of REAL
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
C + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
width f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f * (n,C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell (f,n,C) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (f,n) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (f,C) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (f,n)) /\ (h_strip (f,C)) is Element of K6( the carrier of (TOP-REAL 2))
f * (n,(C + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f * ((n + 1),(C + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f * ((n + 1),C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (n,C)) `1 is V11() real ext-real Element of REAL
(f * ((n + 1),C)) `1 is V11() real ext-real Element of REAL
(f * (n,C)) `2 is V11() real ext-real Element of REAL
(f * (n,(C + 1))) `2 is V11() real ext-real Element of REAL
(f * ((n + 1),(C + 1))) `1 is V11() real ext-real Element of REAL
(f * (n,(C + 1))) `1 is V11() real ext-real Element of REAL
(f * ((n + 1),(C + 1))) `2 is V11() real ext-real Element of REAL
(f * ((n + 1),C)) `2 is V11() real ext-real Element of REAL
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
C + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
width f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
Values f is V26() set
cell (f,n,C) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (f,n) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (f,C) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (f,n)) /\ (h_strip (f,C)) is Element of K6( the carrier of (TOP-REAL 2))
G is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
W is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg (f,W) is closed compact Element of K6( the carrier of (TOP-REAL 2))
f * (n,C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G `2 is V11() real ext-real Element of REAL
W `2 is V11() real ext-real Element of REAL
G `1 is V11() real ext-real Element of REAL
f `1 is V11() real ext-real Element of REAL
W `1 is V11() real ext-real Element of REAL
f `2 is V11() real ext-real Element of REAL
f * (n,(C + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
W `2 is V11() real ext-real Element of REAL
G `2 is V11() real ext-real Element of REAL
G `1 is V11() real ext-real Element of REAL
f * (n,C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (n,C)) `1 is V11() real ext-real Element of REAL
f `1 is V11() real ext-real Element of REAL
W `1 is V11() real ext-real Element of REAL
f `2 is V11() real ext-real Element of REAL
f * ((n + 1),(C + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G `1 is V11() real ext-real Element of REAL
f * ((n + 1),C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * ((n + 1),C)) `1 is V11() real ext-real Element of REAL
f `1 is V11() real ext-real Element of REAL
G `2 is V11() real ext-real Element of REAL
f * (n,(C + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (n,(C + 1))) `2 is V11() real ext-real Element of REAL
W `2 is V11() real ext-real Element of REAL
W `1 is V11() real ext-real Element of REAL
f `2 is V11() real ext-real Element of REAL
f * ((n + 1),C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G `2 is V11() real ext-real Element of REAL
f * (n,C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f * (n,C)) `2 is V11() real ext-real Element of REAL
W `2 is V11() real ext-real Element of REAL
f `1 is V11() real ext-real Element of REAL
G `1 is V11() real ext-real Element of REAL
W `1 is V11() real ext-real Element of REAL
f `2 is V11() real ext-real Element of REAL
f * (n,C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f * (n,(C + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f * ((n + 1),(C + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f * ((n + 1),C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
C is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
len C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
width C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
LSeg (f,n) is closed Element of K6( the carrier of (TOP-REAL 2))
Indices C is set
f /. n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f /. (n + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[G,f] is set
{G,f} is V26() set
{G} is V26() set
{{G,f},{G}} is V26() V30() set
C * (G,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
W is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
E is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[W,E] is set
{W,E} is V26() set
{W} is V26() set
{{W,E},{W}} is V26() V30() set
C * (W,E) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
G + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
W + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
E + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
LSeg ((f /. n),(f /. (n + 1))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
S is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
S + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell (C,S,N) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,S) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,N) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,S)) /\ (h_strip (C,N)) is Element of K6( the carrier of (TOP-REAL 2))
G -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
2 - 1 is V11() real ext-real Element of REAL
2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
S is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
S + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell (C,S,N) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,S) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,N) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,S)) /\ (h_strip (C,N)) is Element of K6( the carrier of (TOP-REAL 2))
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell (C,k,i) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,k) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,i) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,k)) /\ (h_strip (C,i)) is Element of K6( the carrier of (TOP-REAL 2))
N is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
S is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell (C,S,N) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,S) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,N) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,S)) /\ (h_strip (C,N)) is Element of K6( the carrier of (TOP-REAL 2))
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
2 - 1 is V11() real ext-real Element of REAL
2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
S is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell (C,S,N) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,S) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,N) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,S)) /\ (h_strip (C,N)) is Element of K6( the carrier of (TOP-REAL 2))
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell (C,k,i) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,k) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,i) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,k)) /\ (h_strip (C,i)) is Element of K6( the carrier of (TOP-REAL 2))
N is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
S is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell (C,S,N) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,S) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,N) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,S)) /\ (h_strip (C,N)) is Element of K6( the carrier of (TOP-REAL 2))
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
2 - 1 is V11() real ext-real Element of REAL
2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
S is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell (C,S,N) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,S) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,N) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,S)) /\ (h_strip (C,N)) is Element of K6( the carrier of (TOP-REAL 2))
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell (C,k,i) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,k) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,i) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,k)) /\ (h_strip (C,i)) is Element of K6( the carrier of (TOP-REAL 2))
S is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
S + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell (C,S,N) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,S) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,N) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,S)) /\ (h_strip (C,N)) is Element of K6( the carrier of (TOP-REAL 2))
G -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
2 - 1 is V11() real ext-real Element of REAL
2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
S is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
S + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell (C,S,N) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,S) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,N) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,S)) /\ (h_strip (C,N)) is Element of K6( the carrier of (TOP-REAL 2))
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell (C,k,i) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,k) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,i) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,k)) /\ (h_strip (C,i)) is Element of K6( the carrier of (TOP-REAL 2))
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
C is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
len C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
width C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
Values C is V26() set
f is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
LSeg (f,n) is closed Element of K6( the carrier of (TOP-REAL 2))
f /. n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f /. (n + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg ((f /. n),(f /. (n + 1))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
W is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
W + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell (C,f,W) is Element of K6( the carrier of (TOP-REAL 2))
v_strip (C,f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip (C,W) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip (C,f)) /\ (h_strip (C,W)) is Element of K6( the carrier of (TOP-REAL 2))
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[n,C] is set
{n,C} is V26() set
{n} is V26() set
{{n,C},{n}} is V26() V30() set
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
Indices G is set
width G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G * (n,C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(G * (n,C)) `1 is V11() real ext-real Element of REAL
len G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G * ((len G),f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(G * ((len G),f)) `1 is V11() real ext-real Element of REAL
G * (n,1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(G * (n,1)) `1 is V11() real ext-real Element of REAL
G * (n,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(G * (n,f)) `1 is V11() real ext-real Element of REAL
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[n,C] is set
{n,C} is V26() set
{n} is V26() set
{{n,C},{n}} is V26() V30() set
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
Indices G is set
len G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G * (n,C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(G * (n,C)) `2 is V11() real ext-real Element of REAL
width G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G * (f,(width G)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(G * (f,(width G))) `2 is V11() real ext-real Element of REAL
G * (1,C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(G * (1,C)) `2 is V11() real ext-real Element of REAL
G * (f,C) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(G * (f,C)) `2 is V11() real ext-real Element of REAL
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
C is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
f is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
L~ f is closed compact Element of K6( the carrier of (TOP-REAL 2))
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (f,n,C) is Element of K6( the carrier of (TOP-REAL 2))
left_cell (f,n,C) is Element of K6( the carrier of (TOP-REAL 2))
G is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
L~ G is closed compact Element of K6( the carrier of (TOP-REAL 2))
(right_cell (f,n,C)) \ (L~ G) is Element of K6( the carrier of (TOP-REAL 2))
(left_cell (f,n,C)) \ (L~ G) is Element of K6( the carrier of (TOP-REAL 2))
f is Element of K6( the carrier of (TOP-REAL 2))
Int (right_cell (f,n,C)) is Element of K6( the carrier of (TOP-REAL 2))
(L~ G) ` is Element of K6( the carrier of (TOP-REAL 2))
Cl (Int (right_cell (f,n,C))) is Element of K6( the carrier of (TOP-REAL 2))
(right_cell (f,n,C)) /\ ((L~ G) `) is Element of K6( the carrier of (TOP-REAL 2))
Int (left_cell (f,n,C)) is Element of K6( the carrier of (TOP-REAL 2))
(L~ G) ` is Element of K6( the carrier of (TOP-REAL 2))
Cl (Int (left_cell (f,n,C))) is Element of K6( the carrier of (TOP-REAL 2))
(left_cell (f,n,C)) /\ ((L~ G) `) is Element of K6( the carrier of (TOP-REAL 2))
n is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
C is non empty V2() Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like non constant V26() FinSequence-like FinSubsequence-like V182( the carrier of (TOP-REAL 2)) special unfolded s.c.c. standard FinSequence of the carrier of (TOP-REAL 2)
len C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
L~ C is non empty closed compact Element of K6( the carrier of (TOP-REAL 2))
RightComp C is non empty Element of K6( the carrier of (TOP-REAL 2))
LeftComp C is non empty Element of K6( the carrier of (TOP-REAL 2))
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
right_cell (C,f,n) is Element of K6( the carrier of (TOP-REAL 2))
(right_cell (C,f,n)) \ (L~ C) is Element of K6( the carrier of (TOP-REAL 2))
left_cell (C,f,n) is Element of K6( the carrier of (TOP-REAL 2))
(left_cell (C,f,n)) \ (L~ C) is Element of K6( the carrier of (TOP-REAL 2))
Int (right_cell (C,f,n)) is Element of K6( the carrier of (TOP-REAL 2))
((right_cell (C,f,n)) \ (L~ C)) \/ (L~ C) is Element of K6( the carrier of (TOP-REAL 2))
(right_cell (C,f,n)) \/ (L~ C) is Element of K6( the carrier of (TOP-REAL 2))
(L~ C) ` is Element of K6( the carrier of (TOP-REAL 2))
(right_cell (C,f,n)) /\ ((L~ C) `) is Element of K6( the carrier of (TOP-REAL 2))
right_cell (C,f) is Element of K6( the carrier of (TOP-REAL 2))
Int ((right_cell (C,f,n)) \ (L~ C)) is Element of K6( the carrier of (TOP-REAL 2))
Int (right_cell (C,f)) is Element of K6( the carrier of (TOP-REAL 2))
Int (Int (right_cell (C,f,n))) is Element of K6( the carrier of (TOP-REAL 2))
(left_cell (C,f,n)) /\ ((L~ C) `) is Element of K6( the carrier of (TOP-REAL 2))
((left_cell (C,f,n)) \ (L~ C)) \/ (L~ C) is Element of K6( the carrier of (TOP-REAL 2))
(left_cell (C,f,n)) \/ (L~ C) is Element of K6( the carrier of (TOP-REAL 2))
Int (left_cell (C,f,n)) is Element of K6( the carrier of (TOP-REAL 2))
left_cell (C,f) is Element of K6( the carrier of (TOP-REAL 2))
Int ((left_cell (C,f,n)) \ (L~ C)) is Element of K6( the carrier of (TOP-REAL 2))
Int (left_cell (C,f)) is Element of K6( the carrier of (TOP-REAL 2))
Int (Int (left_cell (C,f,n))) is Element of K6( the carrier of (TOP-REAL 2))
n is non empty compact non horizontal non vertical Element of K6( the carrier of (TOP-REAL 2))
N-min n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N-most n is non empty compact Element of K6( the carrier of (TOP-REAL 2))
NW-corner n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
W-bound n is V11() real ext-real Element of REAL
(TOP-REAL 2) | n is strict compact SubSpace of TOP-REAL 2
proj1 is Relation-like Function-like V40( the carrier of (TOP-REAL 2), REAL ) V178( TOP-REAL 2) Element of K6(K7( the carrier of (TOP-REAL 2),REAL))
proj1 | n is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | n), REAL ) V178((TOP-REAL 2) | n) Element of K6(K7( the carrier of ((TOP-REAL 2) | n),REAL))
the carrier of ((TOP-REAL 2) | n) is set
K7( the carrier of ((TOP-REAL 2) | n),REAL) is Relation-like set
K6(K7( the carrier of ((TOP-REAL 2) | n),REAL)) is set
K377(((TOP-REAL 2) | n),(proj1 | n)) is V11() real ext-real Element of REAL
N-bound n is V11() real ext-real Element of REAL
proj2 is Relation-like Function-like V40( the carrier of (TOP-REAL 2), REAL ) V178( TOP-REAL 2) Element of K6(K7( the carrier of (TOP-REAL 2),REAL))
proj2 | n is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | n), REAL ) V178((TOP-REAL 2) | n) Element of K6(K7( the carrier of ((TOP-REAL 2) | n),REAL))
K378(((TOP-REAL 2) | n),(proj2 | n)) is V11() real ext-real Element of REAL
|[(W-bound n),(N-bound n)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
NE-corner n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
E-bound n is V11() real ext-real Element of REAL
K378(((TOP-REAL 2) | n),(proj1 | n)) is V11() real ext-real Element of REAL
|[(E-bound n),(N-bound n)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg ((NW-corner n),(NE-corner n)) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((NW-corner n),(NE-corner n))) /\ n is compact Element of K6( the carrier of (TOP-REAL 2))
(TOP-REAL 2) | (N-most n) is strict compact SubSpace of TOP-REAL 2
proj1 | (N-most n) is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | (N-most n)), REAL ) V178((TOP-REAL 2) | (N-most n)) Element of K6(K7( the carrier of ((TOP-REAL 2) | (N-most n)),REAL))
the carrier of ((TOP-REAL 2) | (N-most n)) is set
K7( the carrier of ((TOP-REAL 2) | (N-most n)),REAL) is Relation-like set
K6(K7( the carrier of ((TOP-REAL 2) | (N-most n)),REAL)) is set
K377(((TOP-REAL 2) | (N-most n)),(proj1 | (N-most n))) is V11() real ext-real Element of REAL
|[K377(((TOP-REAL 2) | (N-most n)),(proj1 | (N-most n))),(N-bound n)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative set
Gauge (n,C) is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
len (Gauge (n,C)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
width (Gauge (n,C)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(width (Gauge (n,C))) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N-min n) `1 is V11() real ext-real Element of REAL
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative set
(Gauge (n,C)) * (G,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (G,((width (Gauge (n,C))) -' 1))) `1 is V11() real ext-real Element of REAL
(NW-corner n) `1 is V11() real ext-real Element of REAL
(len (Gauge (n,C))) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (2,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (2,((width (Gauge (n,C))) -' 1))) `1 is V11() real ext-real Element of REAL
(Gauge (n,C)) * (1,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (1,((width (Gauge (n,C))) -' 1))) `1 is V11() real ext-real Element of REAL
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative set
(Gauge (n,C)) * (G,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (G,((width (Gauge (n,C))) -' 1))) `1 is V11() real ext-real Element of REAL
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative set
(Gauge (n,C)) * (G,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (G,((width (Gauge (n,C))) -' 1))) `1 is V11() real ext-real Element of REAL
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(N-min n) `2 is V11() real ext-real Element of REAL
(Gauge (n,C)) * ((f + 1),((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * ((f + 1),((width (Gauge (n,C))) -' 1))) `2 is V11() real ext-real Element of REAL
(Gauge (n,C)) * (f,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (f,((width (Gauge (n,C))) -' 1))) `1 is V11() real ext-real Element of REAL
(NE-corner n) `1 is V11() real ext-real Element of REAL
((Gauge (n,C)) * ((f + 1),((width (Gauge (n,C))) -' 1))) `1 is V11() real ext-real Element of REAL
((Gauge (n,C)) * (f,((width (Gauge (n,C))) -' 1))) `2 is V11() real ext-real Element of REAL
LSeg (((Gauge (n,C)) * (f,((width (Gauge (n,C))) -' 1))),((Gauge (n,C)) * ((f + 1),((width (Gauge (n,C))) -' 1)))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),f,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),f)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
n is non empty compact non horizontal non vertical Element of K6( the carrier of (TOP-REAL 2))
N-min n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N-most n is non empty compact Element of K6( the carrier of (TOP-REAL 2))
NW-corner n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
W-bound n is V11() real ext-real Element of REAL
(TOP-REAL 2) | n is strict compact SubSpace of TOP-REAL 2
proj1 is Relation-like Function-like V40( the carrier of (TOP-REAL 2), REAL ) V178( TOP-REAL 2) Element of K6(K7( the carrier of (TOP-REAL 2),REAL))
proj1 | n is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | n), REAL ) V178((TOP-REAL 2) | n) Element of K6(K7( the carrier of ((TOP-REAL 2) | n),REAL))
the carrier of ((TOP-REAL 2) | n) is set
K7( the carrier of ((TOP-REAL 2) | n),REAL) is Relation-like set
K6(K7( the carrier of ((TOP-REAL 2) | n),REAL)) is set
K377(((TOP-REAL 2) | n),(proj1 | n)) is V11() real ext-real Element of REAL
N-bound n is V11() real ext-real Element of REAL
proj2 is Relation-like Function-like V40( the carrier of (TOP-REAL 2), REAL ) V178( TOP-REAL 2) Element of K6(K7( the carrier of (TOP-REAL 2),REAL))
proj2 | n is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | n), REAL ) V178((TOP-REAL 2) | n) Element of K6(K7( the carrier of ((TOP-REAL 2) | n),REAL))
K378(((TOP-REAL 2) | n),(proj2 | n)) is V11() real ext-real Element of REAL
|[(W-bound n),(N-bound n)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
NE-corner n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
E-bound n is V11() real ext-real Element of REAL
K378(((TOP-REAL 2) | n),(proj1 | n)) is V11() real ext-real Element of REAL
|[(E-bound n),(N-bound n)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg ((NW-corner n),(NE-corner n)) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((NW-corner n),(NE-corner n))) /\ n is compact Element of K6( the carrier of (TOP-REAL 2))
(TOP-REAL 2) | (N-most n) is strict compact SubSpace of TOP-REAL 2
proj1 | (N-most n) is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | (N-most n)), REAL ) V178((TOP-REAL 2) | (N-most n)) Element of K6(K7( the carrier of ((TOP-REAL 2) | (N-most n)),REAL))
the carrier of ((TOP-REAL 2) | (N-most n)) is set
K7( the carrier of ((TOP-REAL 2) | (N-most n)),REAL) is Relation-like set
K6(K7( the carrier of ((TOP-REAL 2) | (N-most n)),REAL)) is set
K377(((TOP-REAL 2) | (N-most n)),(proj1 | (N-most n))) is V11() real ext-real Element of REAL
|[K377(((TOP-REAL 2) | (N-most n)),(proj1 | (N-most n))),(N-bound n)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative set
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative set
Gauge (n,C) is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
len (Gauge (n,C)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
width (Gauge (n,C)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(width (Gauge (n,C))) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),f,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),f)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (f,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative set
G + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),G,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),G) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),G)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (G,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
C + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
2 |^ C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of REAL
C + 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
1 + (C + 3) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
1 + 0 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(2 |^ C) + 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(C + 1) + 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
((width (Gauge (n,C))) -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
G -' f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(G -' f) + f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(cell ((Gauge (n,C)),f,((width (Gauge (n,C))) -' 1))) /\ (cell ((Gauge (n,C)),G,((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (G,(((width (Gauge (n,C))) -' 1) + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg (((Gauge (n,C)) * (G,((width (Gauge (n,C))) -' 1))),((Gauge (n,C)) * (G,(((width (Gauge (n,C))) -' 1) + 1)))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
[G,(((width (Gauge (n,C))) -' 1) + 1)] is set
{G,(((width (Gauge (n,C))) -' 1) + 1)} is V26() set
{G} is V26() set
{{G,(((width (Gauge (n,C))) -' 1) + 1)},{G}} is V26() V30() set
Indices (Gauge (n,C)) is set
S-bound n is V11() real ext-real Element of REAL
K377(((TOP-REAL 2) | n),(proj2 | n)) is V11() real ext-real Element of REAL
(N-bound n) - (S-bound n) is V11() real ext-real Element of REAL
((N-bound n) - (S-bound n)) / (2 |^ C) is V11() real ext-real Element of COMPLEX
((width (Gauge (n,C))) -' 1) - 1 is V11() real ext-real Element of REAL
(((N-bound n) - (S-bound n)) / (2 |^ C)) * (((width (Gauge (n,C))) -' 1) - 1) is V11() real ext-real Element of REAL
(S-bound n) + ((((N-bound n) - (S-bound n)) / (2 |^ C)) * (((width (Gauge (n,C))) -' 1) - 1)) is V11() real ext-real Element of REAL
((width (Gauge (n,C))) -' 1) - 2 is V11() real ext-real Element of REAL
(((N-bound n) - (S-bound n)) / (2 |^ C)) * (((width (Gauge (n,C))) -' 1) - 2) is V11() real ext-real Element of REAL
(S-bound n) + ((((N-bound n) - (S-bound n)) / (2 |^ C)) * (((width (Gauge (n,C))) -' 1) - 2)) is V11() real ext-real Element of REAL
(E-bound n) - (W-bound n) is V11() real ext-real Element of REAL
((E-bound n) - (W-bound n)) / (2 |^ C) is V11() real ext-real Element of COMPLEX
G - 2 is V11() real ext-real Element of REAL
(((E-bound n) - (W-bound n)) / (2 |^ C)) * (G - 2) is V11() real ext-real Element of REAL
(W-bound n) + ((((E-bound n) - (W-bound n)) / (2 |^ C)) * (G - 2)) is V11() real ext-real Element of REAL
(2 |^ C) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
((2 |^ C) + 2) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(((2 |^ C) + 2) + 1) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[G,((width (Gauge (n,C))) -' 1)] is set
{G,((width (Gauge (n,C))) -' 1)} is V26() set
{{G,((width (Gauge (n,C))) -' 1)},{G}} is V26() V30() set
|[((W-bound n) + ((((E-bound n) - (W-bound n)) / (2 |^ C)) * (G - 2))),((S-bound n) + ((((N-bound n) - (S-bound n)) / (2 |^ C)) * (((width (Gauge (n,C))) -' 1) - 2)))]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (G,((width (Gauge (n,C))) -' 1))) `1 is V11() real ext-real Element of REAL
(((width (Gauge (n,C))) -' 1) + 1) - (1 + 1) is V11() real ext-real Element of REAL
|[((W-bound n) + ((((E-bound n) - (W-bound n)) / (2 |^ C)) * (G - 2))),((S-bound n) + ((((N-bound n) - (S-bound n)) / (2 |^ C)) * (((width (Gauge (n,C))) -' 1) - 1)))]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (G,(((width (Gauge (n,C))) -' 1) + 1))) `1 is V11() real ext-real Element of REAL
(N-min n) `1 is V11() real ext-real Element of REAL
f -' G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(f -' G) + G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(cell ((Gauge (n,C)),G,((width (Gauge (n,C))) -' 1))) /\ (cell ((Gauge (n,C)),f,((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (f,(((width (Gauge (n,C))) -' 1) + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg (((Gauge (n,C)) * (f,((width (Gauge (n,C))) -' 1))),((Gauge (n,C)) * (f,(((width (Gauge (n,C))) -' 1) + 1)))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
[f,(((width (Gauge (n,C))) -' 1) + 1)] is set
{f,(((width (Gauge (n,C))) -' 1) + 1)} is V26() set
{f} is V26() set
{{f,(((width (Gauge (n,C))) -' 1) + 1)},{f}} is V26() V30() set
Indices (Gauge (n,C)) is set
S-bound n is V11() real ext-real Element of REAL
K377(((TOP-REAL 2) | n),(proj2 | n)) is V11() real ext-real Element of REAL
(N-bound n) - (S-bound n) is V11() real ext-real Element of REAL
((N-bound n) - (S-bound n)) / (2 |^ C) is V11() real ext-real Element of COMPLEX
((width (Gauge (n,C))) -' 1) - 1 is V11() real ext-real Element of REAL
(((N-bound n) - (S-bound n)) / (2 |^ C)) * (((width (Gauge (n,C))) -' 1) - 1) is V11() real ext-real Element of REAL
(S-bound n) + ((((N-bound n) - (S-bound n)) / (2 |^ C)) * (((width (Gauge (n,C))) -' 1) - 1)) is V11() real ext-real Element of REAL
((width (Gauge (n,C))) -' 1) - 2 is V11() real ext-real Element of REAL
(((N-bound n) - (S-bound n)) / (2 |^ C)) * (((width (Gauge (n,C))) -' 1) - 2) is V11() real ext-real Element of REAL
(S-bound n) + ((((N-bound n) - (S-bound n)) / (2 |^ C)) * (((width (Gauge (n,C))) -' 1) - 2)) is V11() real ext-real Element of REAL
(E-bound n) - (W-bound n) is V11() real ext-real Element of REAL
((E-bound n) - (W-bound n)) / (2 |^ C) is V11() real ext-real Element of COMPLEX
f - 2 is V11() real ext-real Element of REAL
(((E-bound n) - (W-bound n)) / (2 |^ C)) * (f - 2) is V11() real ext-real Element of REAL
(W-bound n) + ((((E-bound n) - (W-bound n)) / (2 |^ C)) * (f - 2)) is V11() real ext-real Element of REAL
(2 |^ C) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
((2 |^ C) + 2) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(((2 |^ C) + 2) + 1) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,((width (Gauge (n,C))) -' 1)] is set
{f,((width (Gauge (n,C))) -' 1)} is V26() set
{{f,((width (Gauge (n,C))) -' 1)},{f}} is V26() V30() set
|[((W-bound n) + ((((E-bound n) - (W-bound n)) / (2 |^ C)) * (f - 2))),((S-bound n) + ((((N-bound n) - (S-bound n)) / (2 |^ C)) * (((width (Gauge (n,C))) -' 1) - 2)))]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (f,((width (Gauge (n,C))) -' 1))) `1 is V11() real ext-real Element of REAL
(((width (Gauge (n,C))) -' 1) + 1) - (1 + 1) is V11() real ext-real Element of REAL
|[((W-bound n) + ((((E-bound n) - (W-bound n)) / (2 |^ C)) * (f - 2))),((S-bound n) + ((((N-bound n) - (S-bound n)) / (2 |^ C)) * (((width (Gauge (n,C))) -' 1) - 1)))]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (f,(((width (Gauge (n,C))) -' 1) + 1))) `1 is V11() real ext-real Element of REAL
(N-min n) `1 is V11() real ext-real Element of REAL
n is non empty compact non horizontal non vertical Element of K6( the carrier of (TOP-REAL 2))
N-min n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N-most n is non empty compact Element of K6( the carrier of (TOP-REAL 2))
NW-corner n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
W-bound n is V11() real ext-real Element of REAL
(TOP-REAL 2) | n is strict compact SubSpace of TOP-REAL 2
proj1 is Relation-like Function-like V40( the carrier of (TOP-REAL 2), REAL ) V178( TOP-REAL 2) Element of K6(K7( the carrier of (TOP-REAL 2),REAL))
proj1 | n is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | n), REAL ) V178((TOP-REAL 2) | n) Element of K6(K7( the carrier of ((TOP-REAL 2) | n),REAL))
the carrier of ((TOP-REAL 2) | n) is set
K7( the carrier of ((TOP-REAL 2) | n),REAL) is Relation-like set
K6(K7( the carrier of ((TOP-REAL 2) | n),REAL)) is set
K377(((TOP-REAL 2) | n),(proj1 | n)) is V11() real ext-real Element of REAL
N-bound n is V11() real ext-real Element of REAL
proj2 is Relation-like Function-like V40( the carrier of (TOP-REAL 2), REAL ) V178( TOP-REAL 2) Element of K6(K7( the carrier of (TOP-REAL 2),REAL))
proj2 | n is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | n), REAL ) V178((TOP-REAL 2) | n) Element of K6(K7( the carrier of ((TOP-REAL 2) | n),REAL))
K378(((TOP-REAL 2) | n),(proj2 | n)) is V11() real ext-real Element of REAL
|[(W-bound n),(N-bound n)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
NE-corner n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
E-bound n is V11() real ext-real Element of REAL
K378(((TOP-REAL 2) | n),(proj1 | n)) is V11() real ext-real Element of REAL
|[(E-bound n),(N-bound n)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg ((NW-corner n),(NE-corner n)) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((NW-corner n),(NE-corner n))) /\ n is compact Element of K6( the carrier of (TOP-REAL 2))
(TOP-REAL 2) | (N-most n) is strict compact SubSpace of TOP-REAL 2
proj1 | (N-most n) is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | (N-most n)), REAL ) V178((TOP-REAL 2) | (N-most n)) Element of K6(K7( the carrier of ((TOP-REAL 2) | (N-most n)),REAL))
the carrier of ((TOP-REAL 2) | (N-most n)) is set
K7( the carrier of ((TOP-REAL 2) | (N-most n)),REAL) is Relation-like set
K6(K7( the carrier of ((TOP-REAL 2) | (N-most n)),REAL)) is set
K377(((TOP-REAL 2) | (N-most n)),(proj1 | (N-most n))) is V11() real ext-real Element of REAL
|[K377(((TOP-REAL 2) | (N-most n)),(proj1 | (N-most n))),(N-bound n)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative set
Gauge (n,C) is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
len (Gauge (n,C)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
width (Gauge (n,C)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(width (Gauge (n,C))) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G is non empty V2() Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like non constant V26() FinSequence-like FinSubsequence-like V182( the carrier of (TOP-REAL 2)) special unfolded s.c.c. standard FinSequence of the carrier of (TOP-REAL 2)
len G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G /. 1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G /. 2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
L~ G is non empty closed compact Element of K6( the carrier of (TOP-REAL 2))
N-min (L~ G) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N-most (L~ G) is non empty compact Element of K6( the carrier of (TOP-REAL 2))
NW-corner (L~ G) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
W-bound (L~ G) is V11() real ext-real Element of REAL
(TOP-REAL 2) | (L~ G) is strict compact SubSpace of TOP-REAL 2
proj1 | (L~ G) is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | (L~ G)), REAL ) V178((TOP-REAL 2) | (L~ G)) Element of K6(K7( the carrier of ((TOP-REAL 2) | (L~ G)),REAL))
the carrier of ((TOP-REAL 2) | (L~ G)) is set
K7( the carrier of ((TOP-REAL 2) | (L~ G)),REAL) is Relation-like set
K6(K7( the carrier of ((TOP-REAL 2) | (L~ G)),REAL)) is set
K377(((TOP-REAL 2) | (L~ G)),(proj1 | (L~ G))) is V11() real ext-real Element of REAL
N-bound (L~ G) is V11() real ext-real Element of REAL
proj2 | (L~ G) is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | (L~ G)), REAL ) V178((TOP-REAL 2) | (L~ G)) Element of K6(K7( the carrier of ((TOP-REAL 2) | (L~ G)),REAL))
K378(((TOP-REAL 2) | (L~ G)),(proj2 | (L~ G))) is V11() real ext-real Element of REAL
|[(W-bound (L~ G)),(N-bound (L~ G))]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
NE-corner (L~ G) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
E-bound (L~ G) is V11() real ext-real Element of REAL
K378(((TOP-REAL 2) | (L~ G)),(proj1 | (L~ G))) is V11() real ext-real Element of REAL
|[(E-bound (L~ G)),(N-bound (L~ G))]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg ((NW-corner (L~ G)),(NE-corner (L~ G))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((NW-corner (L~ G)),(NE-corner (L~ G)))) /\ (L~ G) is compact Element of K6( the carrier of (TOP-REAL 2))
(TOP-REAL 2) | (N-most (L~ G)) is strict compact SubSpace of TOP-REAL 2
proj1 | (N-most (L~ G)) is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | (N-most (L~ G))), REAL ) V178((TOP-REAL 2) | (N-most (L~ G))) Element of K6(K7( the carrier of ((TOP-REAL 2) | (N-most (L~ G))),REAL))
the carrier of ((TOP-REAL 2) | (N-most (L~ G))) is set
K7( the carrier of ((TOP-REAL 2) | (N-most (L~ G))),REAL) is Relation-like set
K6(K7( the carrier of ((TOP-REAL 2) | (N-most (L~ G))),REAL)) is set
K377(((TOP-REAL 2) | (N-most (L~ G))),(proj1 | (N-most (L~ G)))) is V11() real ext-real Element of REAL
|[K377(((TOP-REAL 2) | (N-most (L~ G))),(proj1 | (N-most (L~ G)))),(N-bound (L~ G))]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
rng G is non empty V2() V26() set
dom G is non empty V2() V26() Element of K6(NAT)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative set
G . f is set
Indices (Gauge (n,C)) is set
W is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G /. W is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
E is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
S is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[E,S] is set
{E,S} is V26() set
{E} is V26() set
{{E,S},{E}} is V26() V30() set
(Gauge (n,C)) * (E,S) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G . W is set
(N-min (L~ G)) `2 is V11() real ext-real Element of REAL
S-bound n is V11() real ext-real Element of REAL
K377(((TOP-REAL 2) | n),(proj2 | n)) is V11() real ext-real Element of REAL
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (n,C)) * (i1,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 + 1),(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),i1,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i1)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (i1,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(len (Gauge (n,C))) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (i1,((len (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (i1,((len (Gauge (n,C))) -' 1))) `1 is V11() real ext-real Element of REAL
((Gauge (n,C)) * (i1,((len (Gauge (n,C))) -' 1))) `2 is V11() real ext-real Element of REAL
|[(((Gauge (n,C)) * (i1,((len (Gauge (n,C))) -' 1))) `1),(((Gauge (n,C)) * (i1,((len (Gauge (n,C))) -' 1))) `2)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
(N-min n) `2 is V11() real ext-real Element of REAL
(E-bound n) - (W-bound n) is V11() real ext-real Element of REAL
2 |^ C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of REAL
((E-bound n) - (W-bound n)) / (2 |^ C) is V11() real ext-real Element of COMPLEX
E - 2 is V11() real ext-real Element of REAL
(((E-bound n) - (W-bound n)) / (2 |^ C)) * (E - 2) is V11() real ext-real Element of REAL
(W-bound n) + ((((E-bound n) - (W-bound n)) / (2 |^ C)) * (E - 2)) is V11() real ext-real Element of REAL
(N-bound n) - (S-bound n) is V11() real ext-real Element of REAL
((N-bound n) - (S-bound n)) / (2 |^ C) is V11() real ext-real Element of COMPLEX
S - 2 is V11() real ext-real Element of REAL
(((N-bound n) - (S-bound n)) / (2 |^ C)) * (S - 2) is V11() real ext-real Element of REAL
(S-bound n) + ((((N-bound n) - (S-bound n)) / (2 |^ C)) * (S - 2)) is V11() real ext-real Element of REAL
|[((W-bound n) + ((((E-bound n) - (W-bound n)) / (2 |^ C)) * (E - 2))),((S-bound n) + ((((N-bound n) - (S-bound n)) / (2 |^ C)) * (S - 2)))]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
(NW-corner (L~ G)) `1 is V11() real ext-real Element of REAL
(NE-corner (L~ G)) `1 is V11() real ext-real Element of REAL
(NW-corner (L~ G)) `2 is V11() real ext-real Element of REAL
(NE-corner (L~ G)) `2 is V11() real ext-real Element of REAL
(2 |^ C) + 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
((Gauge (n,C)) * (E,S)) `2 is V11() real ext-real Element of REAL
(Gauge (n,C)) * (1,S) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (1,S)) `2 is V11() real ext-real Element of REAL
(G /. 1) `2 is V11() real ext-real Element of REAL
(Gauge (n,C)) * (i1,S) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (i1,S)) `2 is V11() real ext-real Element of REAL
(Gauge (n,C)) * (i1,(len (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (i1,(len (Gauge (n,C))))) `2 is V11() real ext-real Element of REAL
[i1,(len (Gauge (n,C)))] is set
{i1,(len (Gauge (n,C)))} is V26() set
{i1} is V26() set
{{i1,(len (Gauge (n,C)))},{i1}} is V26() V30() set
i1 - 2 is V11() real ext-real Element of REAL
(((E-bound n) - (W-bound n)) / (2 |^ C)) * (i1 - 2) is V11() real ext-real Element of REAL
(W-bound n) + ((((E-bound n) - (W-bound n)) / (2 |^ C)) * (i1 - 2)) is V11() real ext-real Element of REAL
(len (Gauge (n,C))) - 2 is V11() real ext-real Element of REAL
(((N-bound n) - (S-bound n)) / (2 |^ C)) * ((len (Gauge (n,C))) - 2) is V11() real ext-real Element of REAL
(S-bound n) + ((((N-bound n) - (S-bound n)) / (2 |^ C)) * ((len (Gauge (n,C))) - 2)) is V11() real ext-real Element of REAL
|[((W-bound n) + ((((E-bound n) - (W-bound n)) / (2 |^ C)) * (i1 - 2))),((S-bound n) + ((((N-bound n) - (S-bound n)) / (2 |^ C)) * ((len (Gauge (n,C))) - 2)))]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (i1,(len (Gauge (n,C))))) `1 is V11() real ext-real Element of REAL
(Gauge (n,C)) * (i1,1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (i1,1)) `1 is V11() real ext-real Element of REAL
(G /. 1) `1 is V11() real ext-real Element of REAL
(N-min (L~ G)) `1 is V11() real ext-real Element of REAL
E + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
((len (Gauge (n,C))) -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (n,C)) * ((i1 + 1),1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * ((i1 + 1),1)) `1 is V11() real ext-real Element of REAL
(Gauge (n,C)) * (1,((len (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (1,((len (Gauge (n,C))) -' 1))) `2 is V11() real ext-real Element of REAL
(Gauge (n,C)) * (1,(len (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (1,(len (Gauge (n,C))))) `2 is V11() real ext-real Element of REAL
{ |[b1,b2]| where b1, b2 is V11() real ext-real Element of REAL : ( ((Gauge (n,C)) * (i1,1)) `1 <= b1 & b1 <= ((Gauge (n,C)) * ((i1 + 1),1)) `1 & ((Gauge (n,C)) * (1,((len (Gauge (n,C))) -' 1))) `2 <= b2 & b2 <= ((Gauge (n,C)) * (1,(len (Gauge (n,C))))) `2 ) } is set
(N-min n) `1 is V11() real ext-real Element of REAL
j1 is V11() real ext-real Element of REAL
i2 is V11() real ext-real Element of REAL
|[j1,i2]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
|[((N-min n) `1),((N-min n) `2)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
(NW-corner n) `2 is V11() real ext-real Element of REAL
(NE-corner n) `2 is V11() real ext-real Element of REAL
(NW-corner n) `1 is V11() real ext-real Element of REAL
(NE-corner n) `1 is V11() real ext-real Element of REAL
(Gauge (n,C)) * (E,(len (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (E,(len (Gauge (n,C))))) `1 is V11() real ext-real Element of REAL
(Gauge (n,C)) * (E,1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (E,1)) `1 is V11() real ext-real Element of REAL
W + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
G /. (W + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[j1,i2] is set
{j1,i2} is V26() set
{j1} is V26() set
{{j1,i2},{j1}} is V26() V30() set
(Gauge (n,C)) * (j1,i2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[j2,g] is set
{j2,g} is V26() set
{j2} is V26() set
{{j2,g},{j2}} is V26() V30() set
(Gauge (n,C)) * (j2,g) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
g + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
right_cell (G,W,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
f is set
f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f `1 is V11() real ext-real Element of REAL
f `2 is V11() real ext-real Element of REAL
(len (Gauge (n,C))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),E,((len (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),E) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),((len (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),E)) /\ (h_strip ((Gauge (n,C)),((len (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * ((E + 1),1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * ((E + 1),1)) `1 is V11() real ext-real Element of REAL
(Gauge (n,C)) * (1,(((len (Gauge (n,C))) -' 1) + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (1,(((len (Gauge (n,C))) -' 1) + 1))) `2 is V11() real ext-real Element of REAL
{ |[b1,b2]| where b1, b2 is V11() real ext-real Element of REAL : ( ((Gauge (n,C)) * (E,1)) `1 <= b1 & b1 <= ((Gauge (n,C)) * ((E + 1),1)) `1 & ((Gauge (n,C)) * (1,((len (Gauge (n,C))) -' 1))) `2 <= b2 & b2 <= ((Gauge (n,C)) * (1,(((len (Gauge (n,C))) -' 1) + 1))) `2 ) } is set
m is V11() real ext-real Element of REAL
u is V11() real ext-real Element of REAL
|[m,u]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),E,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),E)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (E,((len (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),j2,(len (Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),j2) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(len (Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),j2)) /\ (h_strip ((Gauge (n,C)),(len (Gauge (n,C))))) is Element of K6( the carrier of (TOP-REAL 2))
E -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),(E -' 1),((len (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(E -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),((len (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(E -' 1))) /\ (h_strip ((Gauge (n,C)),((len (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
W -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * ((i1 + 1),(len (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * ((i1 + 1),(len (Gauge (n,C))))) `2 is V11() real ext-real Element of REAL
(W -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
G /. (W -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,u] is set
{m,u} is V26() set
{m} is V26() set
{{m,u},{m}} is V26() V30() set
(Gauge (n,C)) * (m,u) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
a is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
r is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[a,r] is set
{a,r} is V26() set
{a} is V26() set
{{a,r},{a}} is V26() V30() set
(Gauge (n,C)) * (a,r) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
r + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
left_cell (G,(W -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (m,S) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (m,S)) `2 is V11() real ext-real Element of REAL
(G /. (W -' 1)) `1 is V11() real ext-real Element of REAL
(G /. W) `1 is V11() real ext-real Element of REAL
right_cell (G,(W -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),E,(len (Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),E) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(len (Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),E)) /\ (h_strip ((Gauge (n,C)),(len (Gauge (n,C))))) is Element of K6( the carrier of (TOP-REAL 2))
(len (Gauge (n,C))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(len (Gauge (n,C))) + 0 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len (Gauge (n,C))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(len (Gauge (n,C))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
n is non empty compact non horizontal non vertical Element of K6( the carrier of (TOP-REAL 2))
C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative set
Gauge (n,C) is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
len (Gauge (n,C)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
width (Gauge (n,C)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N-min n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N-most n is non empty compact Element of K6( the carrier of (TOP-REAL 2))
NW-corner n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
W-bound n is V11() real ext-real Element of REAL
(TOP-REAL 2) | n is strict compact SubSpace of TOP-REAL 2
proj1 is Relation-like Function-like V40( the carrier of (TOP-REAL 2), REAL ) V178( TOP-REAL 2) Element of K6(K7( the carrier of (TOP-REAL 2),REAL))
proj1 | n is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | n), REAL ) V178((TOP-REAL 2) | n) Element of K6(K7( the carrier of ((TOP-REAL 2) | n),REAL))
the carrier of ((TOP-REAL 2) | n) is set
K7( the carrier of ((TOP-REAL 2) | n),REAL) is Relation-like set
K6(K7( the carrier of ((TOP-REAL 2) | n),REAL)) is set
K377(((TOP-REAL 2) | n),(proj1 | n)) is V11() real ext-real Element of REAL
N-bound n is V11() real ext-real Element of REAL
proj2 is Relation-like Function-like V40( the carrier of (TOP-REAL 2), REAL ) V178( TOP-REAL 2) Element of K6(K7( the carrier of (TOP-REAL 2),REAL))
proj2 | n is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | n), REAL ) V178((TOP-REAL 2) | n) Element of K6(K7( the carrier of ((TOP-REAL 2) | n),REAL))
K378(((TOP-REAL 2) | n),(proj2 | n)) is V11() real ext-real Element of REAL
|[(W-bound n),(N-bound n)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
NE-corner n is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
E-bound n is V11() real ext-real Element of REAL
K378(((TOP-REAL 2) | n),(proj1 | n)) is V11() real ext-real Element of REAL
|[(E-bound n),(N-bound n)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg ((NW-corner n),(NE-corner n)) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((NW-corner n),(NE-corner n))) /\ n is compact Element of K6( the carrier of (TOP-REAL 2))
(TOP-REAL 2) | (N-most n) is strict compact SubSpace of TOP-REAL 2
proj1 | (N-most n) is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | (N-most n)), REAL ) V178((TOP-REAL 2) | (N-most n)) Element of K6(K7( the carrier of ((TOP-REAL 2) | (N-most n)),REAL))
the carrier of ((TOP-REAL 2) | (N-most n)) is set
K7( the carrier of ((TOP-REAL 2) | (N-most n)),REAL) is Relation-like set
K6(K7( the carrier of ((TOP-REAL 2) | (N-most n)),REAL)) is set
K377(((TOP-REAL 2) | (N-most n)),(proj1 | (N-most n))) is V11() real ext-real Element of REAL
|[K377(((TOP-REAL 2) | (N-most n)),(proj1 | (N-most n))),(N-bound n)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
(width (Gauge (n,C))) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
S-bound n is V11() real ext-real Element of REAL
K377(((TOP-REAL 2) | n),(proj2 | n)) is V11() real ext-real Element of REAL
(Gauge (n,C)) * (1,1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
S is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N is set
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),k,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),k) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),k)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (k,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (k,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (k,(width (Gauge (n,C)))))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
i is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len i) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
i ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (k,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((k + 1),(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (k,(width (Gauge (n,C))))),((Gauge (n,C)) * ((k + 1),(width (Gauge (n,C)))))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 2 -element FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len i) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
i ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len i) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
((len i) -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
((len i) -' 1) + (1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(len i) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
dom i is V26() Element of K6(NAT)
Indices (Gauge (n,C)) is set
i /. ((len i) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i /. (((len i) -' 1) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,i1] is set
{m,i1} is V26() set
{m} is V26() set
{{m,i1},{m}} is V26() V30() set
(Gauge (n,C)) * (m,i1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[j1,i2] is set
{j1,i2} is V26() set
{j1} is V26() set
{{j1,i2},{j1}} is V26() V30() set
(Gauge (n,C)) * (j1,i2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
front_left_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * ((j1 + 1),i2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * ((j1 + 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
i ^ <*((Gauge (n,C)) * ((j1 + 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
j2 is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,m] is set
{f,m} is V26() set
{f} is V26() set
{{f,m},{f}} is V26() V30() set
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,a] is set
{u,a} is V26() set
{u} is V26() set
{{u,a},{u}} is V26() V30() set
j2 /. ((len i) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (f,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 /. (((len i) -' 1) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (u,a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
u + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[(u + 1),a] is set
{(u + 1),a} is V26() set
{(u + 1)} is V26() set
{{(u + 1),a},{(u + 1)}} is V26() V30() set
((len i) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 /. (((len i) -' 1) + 2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((u + 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,(a -' 1)] is set
{u,(a -' 1)} is V26() set
{{u,(a -' 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[u,(a + 1)] is set
{u,(a + 1)} is V26() set
{{u,(a + 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(u -' 1),a] is set
{(u -' 1),a} is V26() set
{(u -' 1)} is V26() set
{{(u -' 1),a},{(u -' 1)}} is V26() V30() set
(Gauge (n,C)) * ((u -' 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(len (Gauge (n,C))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),(len (Gauge (n,C))),i1) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(len (Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),i1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(len (Gauge (n,C))))) /\ (h_strip ((Gauge (n,C)),i1)) is Element of K6( the carrier of (TOP-REAL 2))
g is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len g) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (j1,(i2 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (j1,(i2 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
i ^ <*((Gauge (n,C)) * (j1,(i2 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
j2 is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,m] is set
{f,m} is V26() set
{f} is V26() set
{{f,m},{f}} is V26() V30() set
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,a] is set
{u,a} is V26() set
{u} is V26() set
{{u,a},{u}} is V26() V30() set
j2 /. ((len i) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (f,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 /. (((len i) -' 1) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (u,a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
u + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[(u + 1),a] is set
{(u + 1),a} is V26() set
{(u + 1)} is V26() set
{{(u + 1),a},{(u + 1)}} is V26() V30() set
((len i) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 /. (((len i) -' 1) + 2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((u + 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,(a -' 1)] is set
{u,(a -' 1)} is V26() set
{{u,(a -' 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[u,(a + 1)] is set
{u,(a + 1)} is V26() set
{{u,(a + 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(u -' 1),a] is set
{(u -' 1),a} is V26() set
{(u -' 1)} is V26() set
{{(u -' 1),a},{(u -' 1)}} is V26() V30() set
(Gauge (n,C)) * ((u -' 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),m,(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),m) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),m)) /\ (h_strip ((Gauge (n,C)),(1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),m,0) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),0) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),m)) /\ (h_strip ((Gauge (n,C)),0)) is Element of K6( the carrier of (TOP-REAL 2))
g is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len g) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (j1,(i2 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (j1,(i2 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
i ^ <*((Gauge (n,C)) * (j1,(i2 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
j2 is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,m] is set
{f,m} is V26() set
{f} is V26() set
{{f,m},{f}} is V26() V30() set
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,a] is set
{u,a} is V26() set
{u} is V26() set
{{u,a},{u}} is V26() V30() set
j2 /. ((len i) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (f,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 /. (((len i) -' 1) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (u,a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
u + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[(u + 1),a] is set
{(u + 1),a} is V26() set
{(u + 1)} is V26() set
{{(u + 1),a},{(u + 1)}} is V26() V30() set
((len i) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 /. (((len i) -' 1) + 2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((u + 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,(a -' 1)] is set
{u,(a -' 1)} is V26() set
{{u,(a -' 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[u,(a + 1)] is set
{u,(a + 1)} is V26() set
{{u,(a + 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(u -' 1),a] is set
{(u -' 1),a} is V26() set
{(u -' 1)} is V26() set
{{(u -' 1),a},{(u -' 1)}} is V26() V30() set
(Gauge (n,C)) * ((u -' 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(len (Gauge (n,C))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),j1,(len (Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),j1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(len (Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),j1)) /\ (h_strip ((Gauge (n,C)),(len (Gauge (n,C))))) is Element of K6( the carrier of (TOP-REAL 2))
g is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len g) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((j1 -' 1),i2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * ((j1 -' 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
i ^ <*((Gauge (n,C)) * ((j1 -' 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
j2 is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,m] is set
{f,m} is V26() set
{f} is V26() set
{{f,m},{f}} is V26() V30() set
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,a] is set
{u,a} is V26() set
{u} is V26() set
{{u,a},{u}} is V26() V30() set
j2 /. ((len i) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (f,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 /. (((len i) -' 1) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (u,a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
u + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[(u + 1),a] is set
{(u + 1),a} is V26() set
{(u + 1)} is V26() set
{{(u + 1),a},{(u + 1)}} is V26() V30() set
((len i) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 /. (((len i) -' 1) + 2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((u + 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,(a -' 1)] is set
{u,(a -' 1)} is V26() set
{{u,(a -' 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[u,(a + 1)] is set
{u,(a + 1)} is V26() set
{{u,(a + 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(u -' 1),a] is set
{(u -' 1),a} is V26() set
{(u -' 1)} is V26() set
{{(u -' 1),a},{(u -' 1)}} is V26() V30() set
(Gauge (n,C)) * ((u -' 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),(1 -' 1),i2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),i2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(1 -' 1))) /\ (h_strip ((Gauge (n,C)),i2)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),0,i2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),0) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),0)) /\ (h_strip ((Gauge (n,C)),i2)) is Element of K6( the carrier of (TOP-REAL 2))
g is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len g) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
front_left_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (j1,(i2 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (j1,(i2 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
i ^ <*((Gauge (n,C)) * (j1,(i2 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
j2 is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,m] is set
{f,m} is V26() set
{f} is V26() set
{{f,m},{f}} is V26() V30() set
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,a] is set
{u,a} is V26() set
{u} is V26() set
{{u,a},{u}} is V26() V30() set
j2 /. ((len i) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (f,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 /. (((len i) -' 1) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (u,a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[u,(a + 1)] is set
{u,(a + 1)} is V26() set
{{u,(a + 1)},{u}} is V26() V30() set
((len i) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 /. (((len i) -' 1) + 2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (u,(a + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
u + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[(u + 1),a] is set
{(u + 1),a} is V26() set
{(u + 1)} is V26() set
{{(u + 1),a},{(u + 1)}} is V26() V30() set
(Gauge (n,C)) * ((u + 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(u -' 1),a] is set
{(u -' 1),a} is V26() set
{(u -' 1)} is V26() set
{{(u -' 1),a},{(u -' 1)}} is V26() V30() set
(Gauge (n,C)) * ((u -' 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
a -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,(a -' 1)] is set
{u,(a -' 1)} is V26() set
{{u,(a -' 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(len (Gauge (n,C))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),m,(len (Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),m) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(len (Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),m)) /\ (h_strip ((Gauge (n,C)),(len (Gauge (n,C))))) is Element of K6( the carrier of (TOP-REAL 2))
g is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len g) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((j1 + 1),i2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * ((j1 + 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
i ^ <*((Gauge (n,C)) * ((j1 + 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
j2 is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,m] is set
{f,m} is V26() set
{f} is V26() set
{{f,m},{f}} is V26() V30() set
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,a] is set
{u,a} is V26() set
{u} is V26() set
{{u,a},{u}} is V26() V30() set
j2 /. ((len i) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (f,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 /. (((len i) -' 1) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (u,a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[u,(a + 1)] is set
{u,(a + 1)} is V26() set
{{u,(a + 1)},{u}} is V26() V30() set
((len i) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 /. (((len i) -' 1) + 2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (u,(a + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
u + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[(u + 1),a] is set
{(u + 1),a} is V26() set
{(u + 1)} is V26() set
{{(u + 1),a},{(u + 1)}} is V26() V30() set
(Gauge (n,C)) * ((u + 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(u -' 1),a] is set
{(u -' 1),a} is V26() set
{(u -' 1)} is V26() set
{{(u -' 1),a},{(u -' 1)}} is V26() V30() set
(Gauge (n,C)) * ((u -' 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
a -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,(a -' 1)] is set
{u,(a -' 1)} is V26() set
{{u,(a -' 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(len (Gauge (n,C))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),(len (Gauge (n,C))),(i1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(len (Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(i1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(len (Gauge (n,C))))) /\ (h_strip ((Gauge (n,C)),(i1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
g is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len g) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((j1 -' 1),i2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * ((j1 -' 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
i ^ <*((Gauge (n,C)) * ((j1 -' 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
j2 is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,m] is set
{f,m} is V26() set
{f} is V26() set
{{f,m},{f}} is V26() V30() set
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,a] is set
{u,a} is V26() set
{u} is V26() set
{{u,a},{u}} is V26() V30() set
j2 /. ((len i) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (f,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 /. (((len i) -' 1) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (u,a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[u,(a + 1)] is set
{u,(a + 1)} is V26() set
{{u,(a + 1)},{u}} is V26() V30() set
((len i) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 /. (((len i) -' 1) + 2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (u,(a + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
u + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[(u + 1),a] is set
{(u + 1),a} is V26() set
{(u + 1)} is V26() set
{{(u + 1),a},{(u + 1)}} is V26() V30() set
(Gauge (n,C)) * ((u + 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(u -' 1),a] is set
{(u -' 1),a} is V26() set
{(u -' 1)} is V26() set
{{(u -' 1),a},{(u -' 1)}} is V26() V30() set
(Gauge (n,C)) * ((u -' 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
a -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,(a -' 1)] is set
{u,(a -' 1)} is V26() set
{{u,(a -' 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),(1 -' 1),i1) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),i1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(1 -' 1))) /\ (h_strip ((Gauge (n,C)),i1)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),0,i1) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),0) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),0)) /\ (h_strip ((Gauge (n,C)),i1)) is Element of K6( the carrier of (TOP-REAL 2))
g is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len g) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (j1,(i2 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (j1,(i2 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
i ^ <*((Gauge (n,C)) * (j1,(i2 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
j2 is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,m] is set
{f,m} is V26() set
{f} is V26() set
{{f,m},{f}} is V26() V30() set
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,a] is set
{u,a} is V26() set
{u} is V26() set
{{u,a},{u}} is V26() V30() set
j2 /. ((len i) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (f,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 /. (((len i) -' 1) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (u,a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[u,(a + 1)] is set
{u,(a + 1)} is V26() set
{{u,(a + 1)},{u}} is V26() V30() set
((len i) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 /. (((len i) -' 1) + 2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (u,(a + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
u + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[(u + 1),a] is set
{(u + 1),a} is V26() set
{(u + 1)} is V26() set
{{(u + 1),a},{(u + 1)}} is V26() V30() set
(Gauge (n,C)) * ((u + 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(u -' 1),a] is set
{(u -' 1),a} is V26() set
{(u -' 1)} is V26() set
{{(u -' 1),a},{(u -' 1)}} is V26() V30() set
(Gauge (n,C)) * ((u -' 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
a -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,(a -' 1)] is set
{u,(a -' 1)} is V26() set
{{u,(a -' 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),(m -' 1),(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(m -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(m -' 1))) /\ (h_strip ((Gauge (n,C)),(1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),(m -' 1),0) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),0) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(m -' 1))) /\ (h_strip ((Gauge (n,C)),0)) is Element of K6( the carrier of (TOP-REAL 2))
g is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len g) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
front_left_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * ((j1 -' 1),i2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * ((j1 -' 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
i ^ <*((Gauge (n,C)) * ((j1 -' 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
j2 is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,m] is set
{f,m} is V26() set
{f} is V26() set
{{f,m},{f}} is V26() V30() set
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,a] is set
{u,a} is V26() set
{u} is V26() set
{{u,a},{u}} is V26() V30() set
j2 /. ((len i) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (f,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 /. (((len i) -' 1) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (u,a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
u -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(u -' 1),a] is set
{(u -' 1),a} is V26() set
{(u -' 1)} is V26() set
{{(u -' 1),a},{(u -' 1)}} is V26() V30() set
((len i) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 /. (((len i) -' 1) + 2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((u -' 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[u,(a + 1)] is set
{u,(a + 1)} is V26() set
{{u,(a + 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,(a -' 1)] is set
{u,(a -' 1)} is V26() set
{{u,(a -' 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
[(u + 1),a] is set
{(u + 1),a} is V26() set
{(u + 1)} is V26() set
{{(u + 1),a},{(u + 1)}} is V26() V30() set
(Gauge (n,C)) * ((u + 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),(1 -' 1),i2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),i2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(1 -' 1))) /\ (h_strip ((Gauge (n,C)),i2)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),0,i2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),0) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),0)) /\ (h_strip ((Gauge (n,C)),i2)) is Element of K6( the carrier of (TOP-REAL 2))
g is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len g) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (j1,(i2 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (j1,(i2 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
i ^ <*((Gauge (n,C)) * (j1,(i2 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
j2 is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,m] is set
{f,m} is V26() set
{f} is V26() set
{{f,m},{f}} is V26() V30() set
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,a] is set
{u,a} is V26() set
{u} is V26() set
{{u,a},{u}} is V26() V30() set
j2 /. ((len i) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (f,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 /. (((len i) -' 1) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (u,a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
u -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(u -' 1),a] is set
{(u -' 1),a} is V26() set
{(u -' 1)} is V26() set
{{(u -' 1),a},{(u -' 1)}} is V26() V30() set
((len i) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 /. (((len i) -' 1) + 2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((u -' 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[u,(a + 1)] is set
{u,(a + 1)} is V26() set
{{u,(a + 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,(a -' 1)] is set
{u,(a -' 1)} is V26() set
{{u,(a -' 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
[(u + 1),a] is set
{(u + 1),a} is V26() set
{(u + 1)} is V26() set
{{(u + 1),a},{(u + 1)}} is V26() V30() set
(Gauge (n,C)) * ((u + 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(len (Gauge (n,C))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),j1,(len (Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),j1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(len (Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),j1)) /\ (h_strip ((Gauge (n,C)),(len (Gauge (n,C))))) is Element of K6( the carrier of (TOP-REAL 2))
g is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len g) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (j1,(i2 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (j1,(i2 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
i ^ <*((Gauge (n,C)) * (j1,(i2 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
j2 is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,m] is set
{f,m} is V26() set
{f} is V26() set
{{f,m},{f}} is V26() V30() set
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,a] is set
{u,a} is V26() set
{u} is V26() set
{{u,a},{u}} is V26() V30() set
j2 /. ((len i) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (f,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 /. (((len i) -' 1) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (u,a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
u -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(u -' 1),a] is set
{(u -' 1),a} is V26() set
{(u -' 1)} is V26() set
{{(u -' 1),a},{(u -' 1)}} is V26() V30() set
((len i) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 /. (((len i) -' 1) + 2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((u -' 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[u,(a + 1)] is set
{u,(a + 1)} is V26() set
{{u,(a + 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,(a -' 1)] is set
{u,(a -' 1)} is V26() set
{{u,(a -' 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
[(u + 1),a] is set
{(u + 1),a} is V26() set
{(u + 1)} is V26() set
{{(u + 1),a},{(u + 1)}} is V26() V30() set
(Gauge (n,C)) * ((u + 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),(j1 -' 1),(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(j1 -' 1))) /\ (h_strip ((Gauge (n,C)),(1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),(j1 -' 1),0) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),0) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(j1 -' 1))) /\ (h_strip ((Gauge (n,C)),0)) is Element of K6( the carrier of (TOP-REAL 2))
g is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len g) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((j1 + 1),i2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * ((j1 + 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
i ^ <*((Gauge (n,C)) * ((j1 + 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
j2 is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,m] is set
{f,m} is V26() set
{f} is V26() set
{{f,m},{f}} is V26() V30() set
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,a] is set
{u,a} is V26() set
{u} is V26() set
{{u,a},{u}} is V26() V30() set
j2 /. ((len i) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (f,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 /. (((len i) -' 1) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (u,a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
u -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(u -' 1),a] is set
{(u -' 1),a} is V26() set
{(u -' 1)} is V26() set
{{(u -' 1),a},{(u -' 1)}} is V26() V30() set
((len i) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 /. (((len i) -' 1) + 2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((u -' 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[u,(a + 1)] is set
{u,(a + 1)} is V26() set
{{u,(a + 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,(a -' 1)] is set
{u,(a -' 1)} is V26() set
{{u,(a -' 1)},{u}} is V26() V30() set
(Gauge (n,C)) * (u,(a -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
[(u + 1),a] is set
{(u + 1),a} is V26() set
{(u + 1)} is V26() set
{{(u + 1),a},{(u + 1)}} is V26() V30() set
(Gauge (n,C)) * ((u + 1),a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(len (Gauge (n,C))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),(len (Gauge (n,C))),(i2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(len (Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(i2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(len (Gauge (n,C))))) /\ (h_strip ((Gauge (n,C)),(i2 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
g is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len g) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
front_left_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
(len i) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
i ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
m is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len m) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (m,((len m) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (m,((len m) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (m,((len m) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
m ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(len i) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
i is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len m) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (m,((len m) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (m,((len m) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (m,((len m) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
m ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len i) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
i ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
S is Relation-like Function-like set
dom S is set
S . 0 is set
<*> the carrier of (TOP-REAL 2) is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real Relation-like non-empty empty-yielding NAT -defined the carrier of (TOP-REAL 2) -valued Function-like one-to-one constant functional V26() V27() V30() FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative special FinSequence of the carrier of (TOP-REAL 2)
N is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
S . N is set
N + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
S . (N + 1) is set
k is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len k) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (k,((len k) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (k,((len k) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (k,((len k) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
k ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),k,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),k) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),k)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (k,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (k,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (k,(width (Gauge (n,C)))))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),i,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (i,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i + 1),(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i,(width (Gauge (n,C))))),((Gauge (n,C)) * ((i + 1),(width (Gauge (n,C)))))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 2 -element FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),k,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),k) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),k)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (k,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (k,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (k,(width (Gauge (n,C)))))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),i,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (i,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i + 1),(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i,(width (Gauge (n,C))))),((Gauge (n,C)) * ((i + 1),(width (Gauge (n,C)))))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 2 -element FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
k is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len k) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (k,((len k) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (k,((len k) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (k,((len k) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (i,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i,m))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
k ^ <*((Gauge (n,C)) * (i,m))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (i1,j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i1,j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
k ^ <*((Gauge (n,C)) * (i1,j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (i2,j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
k ^ <*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(len k) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (k,((len k) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
k ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(len k) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (k,((len k) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
k is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
k is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
rng S is set
N is set
k is set
S . k is set
K7(NAT,( the carrier of (TOP-REAL 2) *)) is Relation-like set
K6(K7(NAT,( the carrier of (TOP-REAL 2) *))) is set
N is Relation-like Function-like V40( NAT , the carrier of (TOP-REAL 2) * ) Element of K6(K7(NAT,( the carrier of (TOP-REAL 2) *)))
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N . k is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len (N . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N . (k + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len (N . (k + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len i) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (i,((len i) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
i ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),i,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (i,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i,(width (Gauge (n,C)))))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),m,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),m) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),m)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (m,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (m,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((m + 1),(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (m,(width (Gauge (n,C))))),((Gauge (n,C)) * ((m + 1),(width (Gauge (n,C)))))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 2 -element FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),i,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (i,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i,(width (Gauge (n,C)))))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),m,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),m) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),m)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (m,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (m,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((m + 1),(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (m,(width (Gauge (n,C))))),((Gauge (n,C)) * ((m + 1),(width (Gauge (n,C)))))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 2 -element FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(len (N . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (i,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i,m))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i,m))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (i1,j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i1,j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i1,j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (i2,j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(len (N . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
(N . k) ^ <*((Gauge (n,C)) * (1,1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(len (N . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
N . 0 is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len (N . 0) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N . k is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len (N . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len (N . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
((len (N . k)) -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
right_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i,m] is set
{i,m} is V26() set
{i} is V26() set
{{i,m},{i}} is V26() V30() set
Indices (Gauge (n,C)) is set
(N . k) /. ((len (N . k)) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i1,j1] is set
{i1,j1} is V26() set
{i1} is V26() set
{{i1,j1},{i1}} is V26() V30() set
(N . k) /. (len (N . k)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(len (Gauge (n,C))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),(len (Gauge (n,C))),m) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(len (Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),m) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(len (Gauge (n,C))))) /\ (h_strip ((Gauge (n,C)),m)) is Element of K6( the carrier of (TOP-REAL 2))
[(i1 + 1),j1] is set
{(i1 + 1),j1} is V26() set
{(i1 + 1)} is V26() set
{{(i1 + 1),j1},{(i1 + 1)}} is V26() V30() set
j1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),i,(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i)) /\ (h_strip ((Gauge (n,C)),(1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),i,0) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),0) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i)) /\ (h_strip ((Gauge (n,C)),0)) is Element of K6( the carrier of (TOP-REAL 2))
[i1,(j1 -' 1)] is set
{i1,(j1 -' 1)} is V26() set
{{i1,(j1 -' 1)},{i1}} is V26() V30() set
j1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),i1,(len (Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(len (Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i1)) /\ (h_strip ((Gauge (n,C)),(len (Gauge (n,C))))) is Element of K6( the carrier of (TOP-REAL 2))
[i1,(j1 + 1)] is set
{i1,(j1 + 1)} is V26() set
{{i1,(j1 + 1)},{i1}} is V26() V30() set
i1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),(1 -' 1),j1) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),j1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(1 -' 1))) /\ (h_strip ((Gauge (n,C)),j1)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),0,j1) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),0) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),0)) /\ (h_strip ((Gauge (n,C)),j1)) is Element of K6( the carrier of (TOP-REAL 2))
[(i1 -' 1),j1] is set
{(i1 -' 1),j1} is V26() set
{(i1 -' 1)} is V26() set
{{(i1 -' 1),j1},{(i1 -' 1)}} is V26() V30() set
front_right_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),i,(len (Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i)) /\ (h_strip ((Gauge (n,C)),(len (Gauge (n,C))))) is Element of K6( the carrier of (TOP-REAL 2))
m -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),(len (Gauge (n,C))),(m -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(m -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(len (Gauge (n,C))))) /\ (h_strip ((Gauge (n,C)),(m -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),(1 -' 1),m) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(1 -' 1))) /\ (h_strip ((Gauge (n,C)),m)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),0,m) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),0)) /\ (h_strip ((Gauge (n,C)),m)) is Element of K6( the carrier of (TOP-REAL 2))
i -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),(i -' 1),(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(i -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(i -' 1))) /\ (h_strip ((Gauge (n,C)),(1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),(i -' 1),0) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(i -' 1))) /\ (h_strip ((Gauge (n,C)),0)) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),(i1 -' 1),(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(i1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(i1 -' 1))) /\ (h_strip ((Gauge (n,C)),(1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),(i1 -' 1),0) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(i1 -' 1))) /\ (h_strip ((Gauge (n,C)),0)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),(len (Gauge (n,C))),(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(len (Gauge (n,C))))) /\ (h_strip ((Gauge (n,C)),(j1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
2 |^ C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of REAL
(2 |^ C) + 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N . k is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len (N . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N . (k + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len (N . (k + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),i,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (i,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i,(width (Gauge (n,C)))))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
[i,(len (Gauge (n,C)))] is set
{i,(len (Gauge (n,C)))} is V26() set
{i} is V26() set
{{i,(len (Gauge (n,C)))},{i}} is V26() V30() set
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom (N . (k + 1)) is V26() Element of K6(NAT)
(N . (k + 1)) /. m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(N . (k + 1)) /. m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . (k + 1)) /. (m + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i1,j1] is set
{i1,j1} is V26() set
{i1} is V26() set
{{i1,j1},{i1}} is V26() V30() set
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i2,j2] is set
{i2,j2} is V26() set
{i2} is V26() set
{{i2,j2},{i2}} is V26() V30() set
(Gauge (n,C)) * (i1,j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i2,j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i1 - i2 is V11() real ext-real set
abs (i1 - i2) is V11() real ext-real Element of REAL
j1 - j2 is V11() real ext-real set
abs (j1 - j2) is V11() real ext-real Element of REAL
(abs (i1 - i2)) + (abs (j1 - j2)) is V11() real ext-real Element of REAL
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
left_cell ((N . (k + 1)),m,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((N . (k + 1)),m,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),i,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (i,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i + 1),(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i,(width (Gauge (n,C))))),((Gauge (n,C)) * ((i + 1),(width (Gauge (n,C)))))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 2 -element FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
[i,(len (Gauge (n,C)))] is set
{i,(len (Gauge (n,C)))} is V26() set
{i} is V26() set
{{i,(len (Gauge (n,C)))},{i}} is V26() V30() set
[(i + 1),(len (Gauge (n,C)))] is set
{(i + 1),(len (Gauge (n,C)))} is V26() set
{(i + 1)} is V26() set
{{(i + 1),(len (Gauge (n,C)))},{(i + 1)}} is V26() V30() set
(N . (k + 1)) /. 1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . (k + 1)) /. 2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom (N . (k + 1)) is V26() Element of K6(NAT)
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i1,j1] is set
{i1,j1} is V26() set
{i1} is V26() set
{{i1,j1},{i1}} is V26() V30() set
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i2,j2] is set
{i2,j2} is V26() set
{i2} is V26() set
{{i2,j2},{i2}} is V26() V30() set
(N . (k + 1)) /. m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . (k + 1)) /. (m + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i2,j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 - j2 is V11() real ext-real set
abs (j1 - j2) is V11() real ext-real Element of REAL
i2 - i1 is V11() real ext-real set
abs (i2 - i1) is V11() real ext-real Element of REAL
i1 - i2 is V11() real ext-real set
abs (i1 - i2) is V11() real ext-real Element of REAL
(abs (i1 - i2)) + (abs (j1 - j2)) is V11() real ext-real Element of REAL
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N . (k + 1)) /. m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(i + 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
left_cell ((N . (k + 1)),m,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((N . (k + 1)),m,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),i,(len (Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i)) /\ (h_strip ((Gauge (n,C)),(len (Gauge (n,C))))) is Element of K6( the carrier of (TOP-REAL 2))
(N-bound n) - (S-bound n) is V11() real ext-real Element of REAL
(S-bound n) - (S-bound n) is V11() real ext-real Element of REAL
((N-bound n) - (S-bound n)) / (2 |^ C) is V11() real ext-real Element of COMPLEX
(N-bound n) + (((N-bound n) - (S-bound n)) / (2 |^ C)) is V11() real ext-real Element of REAL
(N-bound n) + 0 is V11() real ext-real Element of REAL
[1,(len (Gauge (n,C)))] is set
{1,(len (Gauge (n,C)))} is V26() set
{1} is V26() set
{{1,(len (Gauge (n,C)))},{1}} is V26() V30() set
(Gauge (n,C)) * (1,(len (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(E-bound n) - (W-bound n) is V11() real ext-real Element of REAL
((E-bound n) - (W-bound n)) / (2 |^ C) is V11() real ext-real Element of COMPLEX
1 - 2 is V11() real ext-real Element of REAL
(((E-bound n) - (W-bound n)) / (2 |^ C)) * (1 - 2) is V11() real ext-real Element of REAL
(W-bound n) + ((((E-bound n) - (W-bound n)) / (2 |^ C)) * (1 - 2)) is V11() real ext-real Element of REAL
(len (Gauge (n,C))) - 2 is V11() real ext-real Element of REAL
(((N-bound n) - (S-bound n)) / (2 |^ C)) * ((len (Gauge (n,C))) - 2) is V11() real ext-real Element of REAL
(S-bound n) + ((((N-bound n) - (S-bound n)) / (2 |^ C)) * ((len (Gauge (n,C))) - 2)) is V11() real ext-real Element of REAL
|[((W-bound n) + ((((E-bound n) - (W-bound n)) / (2 |^ C)) * (1 - 2))),((S-bound n) + ((((N-bound n) - (S-bound n)) / (2 |^ C)) * ((len (Gauge (n,C))) - 2)))]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (1,(len (Gauge (n,C))))) `2 is V11() real ext-real Element of REAL
(Gauge (n,C)) * (i,1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (i,1)) `1 is V11() real ext-real Element of REAL
(Gauge (n,C)) * ((i + 1),1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * ((i + 1),1)) `1 is V11() real ext-real Element of REAL
{ |[b1,b2]| where b1, b2 is V11() real ext-real Element of REAL : ( ((Gauge (n,C)) * (i,1)) `1 <= b1 & b1 <= ((Gauge (n,C)) * ((i + 1),1)) `1 & ((Gauge (n,C)) * (1,(len (Gauge (n,C))))) `2 <= b2 ) } is set
i1 is set
j1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i2 `2 is V11() real ext-real Element of REAL
j2 is V11() real ext-real Element of REAL
g is V11() real ext-real Element of REAL
|[j2,g]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
(((N-bound n) - (S-bound n)) / (2 |^ C)) * (2 |^ C) is V11() real ext-real Element of REAL
(((N-bound n) - (S-bound n)) / (2 |^ C)) * 1 is V11() real ext-real Element of REAL
((((N-bound n) - (S-bound n)) / (2 |^ C)) * (2 |^ C)) + ((((N-bound n) - (S-bound n)) / (2 |^ C)) * 1) is V11() real ext-real Element of REAL
((N-bound n) - (S-bound n)) + (((N-bound n) - (S-bound n)) / (2 |^ C)) is V11() real ext-real Element of REAL
dom (N . k) is V26() Element of K6(NAT)
(len (N . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
((len (N . k)) -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
((len (N . k)) -' 1) + (1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(len (N . k)) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(N . k) /. ((len (N . k)) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . k) /. (len (N . k)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i,m] is set
{i,m} is V26() set
{i} is V26() set
{{i,m},{i}} is V26() V30() set
(Gauge (n,C)) * (i,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i1,j1] is set
{i1,j1} is V26() set
{i1} is V26() set
{{i1,j1},{i1}} is V26() V30() set
(Gauge (n,C)) * (i1,j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[(i1 + 1),j1] is set
{(i1 + 1),j1} is V26() set
{(i1 + 1)} is V26() set
{{(i1 + 1),j1},{(i1 + 1)}} is V26() V30() set
front_left_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
j1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i1,(j1 -' 1)] is set
{i1,(j1 -' 1)} is V26() set
{{i1,(j1 -' 1)},{i1}} is V26() V30() set
[i1,(j1 + 1)] is set
{i1,(j1 + 1)} is V26() set
{{i1,(j1 + 1)},{i1}} is V26() V30() set
i1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(i1 -' 1),j1] is set
{(i1 -' 1),j1} is V26() set
{(i1 -' 1)} is V26() set
{{(i1 -' 1),j1},{(i1 -' 1)}} is V26() V30() set
front_right_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (i2,j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
((N . k) ^ <*((Gauge (n,C)) * (i2,j2))*>) /. ((len (N . k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((N . k) ^ <*((Gauge (n,C)) * (i2,j2))*>) /. ((len (N . k)) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((N . k) ^ <*((Gauge (n,C)) * (i2,j2))*>) /. (len (N . k)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 + 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,f] is set
{f,f} is V26() set
{f} is V26() set
{{f,f},{f}} is V26() V30() set
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,u] is set
{m,u} is V26() set
{m} is V26() set
{{m,u},{m}} is V26() V30() set
(Gauge (n,C)) * (f,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (m,u) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u - f is V11() real ext-real set
abs (u - f) is V11() real ext-real Element of REAL
m - f is V11() real ext-real set
abs (m - f) is V11() real ext-real Element of REAL
(abs (m - f)) + (abs (u - f)) is V11() real ext-real Element of REAL
(Gauge (n,C)) * (i1,(j1 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,f] is set
{f,f} is V26() set
{f} is V26() set
{{f,f},{f}} is V26() V30() set
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,u] is set
{m,u} is V26() set
{m} is V26() set
{{m,u},{m}} is V26() V30() set
(Gauge (n,C)) * (f,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (m,u) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f - u is V11() real ext-real set
j1 - 1 is V11() real ext-real Element of REAL
j1 - (j1 - 1) is V11() real ext-real Element of REAL
abs (f - u) is V11() real ext-real Element of REAL
m - f is V11() real ext-real set
abs (m - f) is V11() real ext-real Element of REAL
u - f is V11() real ext-real set
abs (u - f) is V11() real ext-real Element of REAL
(abs (m - f)) + (abs (u - f)) is V11() real ext-real Element of REAL
(Gauge (n,C)) * (i1,(j1 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,f] is set
{f,f} is V26() set
{f} is V26() set
{{f,f},{f}} is V26() V30() set
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,u] is set
{m,u} is V26() set
{m} is V26() set
{{m,u},{m}} is V26() V30() set
(Gauge (n,C)) * (f,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (m,u) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m - f is V11() real ext-real set
abs (m - f) is V11() real ext-real Element of REAL
u - f is V11() real ext-real set
abs (u - f) is V11() real ext-real Element of REAL
(abs (m - f)) + (abs (u - f)) is V11() real ext-real Element of REAL
(Gauge (n,C)) * ((i1 -' 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,f] is set
{f,f} is V26() set
{f} is V26() set
{{f,f},{f}} is V26() V30() set
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,u] is set
{m,u} is V26() set
{m} is V26() set
{{m,u},{m}} is V26() V30() set
(Gauge (n,C)) * (f,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (m,u) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f - m is V11() real ext-real set
i1 - 1 is V11() real ext-real Element of REAL
i1 - (i1 - 1) is V11() real ext-real Element of REAL
abs (f - m) is V11() real ext-real Element of REAL
u - f is V11() real ext-real set
abs (u - f) is V11() real ext-real Element of REAL
m - f is V11() real ext-real set
abs (m - f) is V11() real ext-real Element of REAL
(abs (m - f)) + (abs (u - f)) is V11() real ext-real Element of REAL
(Gauge (n,C)) * ((i1 + 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,(j1 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,(j1 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 -' 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (i2,j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
((N . k) ^ <*((Gauge (n,C)) * (i2,j2))*>) /. ((len (N . k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((N . k) ^ <*((Gauge (n,C)) * (i2,j2))*>) /. ((len (N . k)) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((N . k) ^ <*((Gauge (n,C)) * (i2,j2))*>) /. (len (N . k)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,(j1 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,f] is set
{f,f} is V26() set
{f} is V26() set
{{f,f},{f}} is V26() V30() set
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,u] is set
{m,u} is V26() set
{m} is V26() set
{{m,u},{m}} is V26() V30() set
(Gauge (n,C)) * (f,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (m,u) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m - f is V11() real ext-real set
abs (m - f) is V11() real ext-real Element of REAL
u - f is V11() real ext-real set
abs (u - f) is V11() real ext-real Element of REAL
(abs (m - f)) + (abs (u - f)) is V11() real ext-real Element of REAL
(Gauge (n,C)) * ((i1 + 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,f] is set
{f,f} is V26() set
{f} is V26() set
{{f,f},{f}} is V26() V30() set
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,u] is set
{m,u} is V26() set
{m} is V26() set
{{m,u},{m}} is V26() V30() set
(Gauge (n,C)) * (f,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (m,u) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u - f is V11() real ext-real set
abs (u - f) is V11() real ext-real Element of REAL
m - f is V11() real ext-real set
abs (m - f) is V11() real ext-real Element of REAL
(abs (m - f)) + (abs (u - f)) is V11() real ext-real Element of REAL
(Gauge (n,C)) * ((i1 -' 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,f] is set
{f,f} is V26() set
{f} is V26() set
{{f,f},{f}} is V26() V30() set
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,u] is set
{m,u} is V26() set
{m} is V26() set
{{m,u},{m}} is V26() V30() set
(Gauge (n,C)) * (f,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (m,u) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f - m is V11() real ext-real set
i1 - 1 is V11() real ext-real Element of REAL
i1 - (i1 - 1) is V11() real ext-real Element of REAL
abs (f - m) is V11() real ext-real Element of REAL
u - f is V11() real ext-real set
abs (u - f) is V11() real ext-real Element of REAL
m - f is V11() real ext-real set
abs (m - f) is V11() real ext-real Element of REAL
(abs (m - f)) + (abs (u - f)) is V11() real ext-real Element of REAL
(Gauge (n,C)) * (i1,(j1 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,f] is set
{f,f} is V26() set
{f} is V26() set
{{f,f},{f}} is V26() V30() set
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,u] is set
{m,u} is V26() set
{m} is V26() set
{{m,u},{m}} is V26() V30() set
(Gauge (n,C)) * (f,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (m,u) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f - u is V11() real ext-real set
j1 - 1 is V11() real ext-real Element of REAL
j1 - (j1 - 1) is V11() real ext-real Element of REAL
abs (f - u) is V11() real ext-real Element of REAL
m - f is V11() real ext-real set
abs (m - f) is V11() real ext-real Element of REAL
u - f is V11() real ext-real set
abs (u - f) is V11() real ext-real Element of REAL
(abs (m - f)) + (abs (u - f)) is V11() real ext-real Element of REAL
(Gauge (n,C)) * (i1,(j1 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 + 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 -' 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,(j1 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (i2,j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
((N . k) ^ <*((Gauge (n,C)) * (i2,j2))*>) /. ((len (N . k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((N . k) ^ <*((Gauge (n,C)) * (i2,j2))*>) /. ((len (N . k)) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((N . k) ^ <*((Gauge (n,C)) * (i2,j2))*>) /. (len (N . k)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 -' 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,f] is set
{f,f} is V26() set
{f} is V26() set
{{f,f},{f}} is V26() V30() set
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,u] is set
{m,u} is V26() set
{m} is V26() set
{{m,u},{m}} is V26() V30() set
(Gauge (n,C)) * (f,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (m,u) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f - m is V11() real ext-real set
i1 - 1 is V11() real ext-real Element of REAL
i1 - (i1 - 1) is V11() real ext-real Element of REAL
abs (f - m) is V11() real ext-real Element of REAL
u - f is V11() real ext-real set
abs (u - f) is V11() real ext-real Element of REAL
m - f is V11() real ext-real set
abs (m - f) is V11() real ext-real Element of REAL
(abs (m - f)) + (abs (u - f)) is V11() real ext-real Element of REAL
(Gauge (n,C)) * (i1,(j1 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,f] is set
{f,f} is V26() set
{f} is V26() set
{{f,f},{f}} is V26() V30() set
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,u] is set
{m,u} is V26() set
{m} is V26() set
{{m,u},{m}} is V26() V30() set
(Gauge (n,C)) * (f,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (m,u) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m - f is V11() real ext-real set
abs (m - f) is V11() real ext-real Element of REAL
u - f is V11() real ext-real set
abs (u - f) is V11() real ext-real Element of REAL
(abs (m - f)) + (abs (u - f)) is V11() real ext-real Element of REAL
(Gauge (n,C)) * (i1,(j1 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,f] is set
{f,f} is V26() set
{f} is V26() set
{{f,f},{f}} is V26() V30() set
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,u] is set
{m,u} is V26() set
{m} is V26() set
{{m,u},{m}} is V26() V30() set
(Gauge (n,C)) * (f,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (m,u) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f - u is V11() real ext-real set
j1 - 1 is V11() real ext-real Element of REAL
j1 - (j1 - 1) is V11() real ext-real Element of REAL
abs (f - u) is V11() real ext-real Element of REAL
m - f is V11() real ext-real set
abs (m - f) is V11() real ext-real Element of REAL
u - f is V11() real ext-real set
abs (u - f) is V11() real ext-real Element of REAL
(abs (m - f)) + (abs (u - f)) is V11() real ext-real Element of REAL
(Gauge (n,C)) * ((i1 + 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,f] is set
{f,f} is V26() set
{f} is V26() set
{{f,f},{f}} is V26() V30() set
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,u] is set
{m,u} is V26() set
{m} is V26() set
{{m,u},{m}} is V26() V30() set
(Gauge (n,C)) * (f,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (m,u) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u - f is V11() real ext-real set
abs (u - f) is V11() real ext-real Element of REAL
m - f is V11() real ext-real set
abs (m - f) is V11() real ext-real Element of REAL
(abs (m - f)) + (abs (u - f)) is V11() real ext-real Element of REAL
(Gauge (n,C)) * ((i1 -' 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,(j1 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,(j1 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 + 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
left_cell ((N . (k + 1)),i2,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((N . (k + 1)),i2,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
left_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
(j1 -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(i1 -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(N . (k + 1)) /. (len (N . k)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (j2,g) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (j2,g))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (j2,g))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . (k + 1)) /. ((len (N . k)) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (j2,g) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (j2,g))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (j2,g))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . (k + 1)) /. ((len (N . k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 + 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),i,j1) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),j1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i)) /\ (h_strip ((Gauge (n,C)),j1)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),i,m) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),m) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i)) /\ (h_strip ((Gauge (n,C)),m)) is Element of K6( the carrier of (TOP-REAL 2))
(N . (k + 1)) /. ((len (N . k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,(j1 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),i1,(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i1)) /\ (h_strip ((Gauge (n,C)),(j1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
m -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),i,(m -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(m -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i)) /\ (h_strip ((Gauge (n,C)),(m -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(N . (k + 1)) /. ((len (N . k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,(j1 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),(i1 -' 1),j1) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(i1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),j1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(i1 -' 1))) /\ (h_strip ((Gauge (n,C)),j1)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),i1,j1) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i1)) /\ (h_strip ((Gauge (n,C)),j1)) is Element of K6( the carrier of (TOP-REAL 2))
(N . (k + 1)) /. ((len (N . k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 -' 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),(i1 -' 1),(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(i1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(i1 -' 1))) /\ (h_strip ((Gauge (n,C)),(j1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),(i1 -' 1),j1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),j1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(i1 -' 1))) /\ (h_strip ((Gauge (n,C)),j1)) is Element of K6( the carrier of (TOP-REAL 2))
(N . (k + 1)) /. ((len (N . k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 + 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,(j1 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,(j1 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 -' 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (j2,g) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (j2,g))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (j2,g))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . (k + 1)) /. (len (N . k)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (j2,g) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (j2,g))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (j2,g))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . (k + 1)) /. ((len (N . k)) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (j2,g) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (j2,g))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (j2,g))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . (k + 1)) /. ((len (N . k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,(j1 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),(i -' 1),j1) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(i -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),j1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(i -' 1))) /\ (h_strip ((Gauge (n,C)),j1)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),i,j1) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i)) /\ (h_strip ((Gauge (n,C)),j1)) is Element of K6( the carrier of (TOP-REAL 2))
(N . (k + 1)) /. ((len (N . k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 + 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),i1,j1) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),j1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i1)) /\ (h_strip ((Gauge (n,C)),j1)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),i1,(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i1)) /\ (h_strip ((Gauge (n,C)),(j1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(N . (k + 1)) /. ((len (N . k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 -' 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),(i1 -' 1),(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(i1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(i1 -' 1))) /\ (h_strip ((Gauge (n,C)),(j1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),(i1 -' 1),j1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),j1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(i1 -' 1))) /\ (h_strip ((Gauge (n,C)),j1)) is Element of K6( the carrier of (TOP-REAL 2))
(N . (k + 1)) /. ((len (N . k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,(j1 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),i1,(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i1)) /\ (h_strip ((Gauge (n,C)),(j1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),(i1 -' 1),(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(i1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(i1 -' 1))) /\ (h_strip ((Gauge (n,C)),(j1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(N . (k + 1)) /. ((len (N . k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,(j1 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 + 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 -' 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,(j1 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (j2,g) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (j2,g))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (j2,g))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . (k + 1)) /. (len (N . k)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (j2,g) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (j2,g))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (j2,g))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . (k + 1)) /. ((len (N . k)) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (j2,g) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (j2,g))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (j2,g))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . (k + 1)) /. ((len (N . k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 -' 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),(i -' 1),m) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(i -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),m) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(i -' 1))) /\ (h_strip ((Gauge (n,C)),m)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),(i -' 1),j1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),j1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(i -' 1))) /\ (h_strip ((Gauge (n,C)),j1)) is Element of K6( the carrier of (TOP-REAL 2))
(N . (k + 1)) /. ((len (N . k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,(j1 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),i,m) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),m) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i)) /\ (h_strip ((Gauge (n,C)),m)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),i1,j1) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),j1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i1)) /\ (h_strip ((Gauge (n,C)),j1)) is Element of K6( the carrier of (TOP-REAL 2))
(N . (k + 1)) /. ((len (N . k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,(j1 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),i1,(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i1)) /\ (h_strip ((Gauge (n,C)),(j1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),(i1 -' 1),(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(i1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(i1 -' 1))) /\ (h_strip ((Gauge (n,C)),(j1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(N . (k + 1)) /. ((len (N . k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 + 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),i1,j1) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),j1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i1)) /\ (h_strip ((Gauge (n,C)),j1)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),i1,(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i1)) /\ (h_strip ((Gauge (n,C)),(j1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(N . (k + 1)) /. ((len (N . k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 -' 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,(j1 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,(j1 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 + 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (j2,g) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (j2,g))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (j2,g))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . k) /. i2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . k) /. (i2 + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[j2,g] is set
{j2,g} is V26() set
{j2} is V26() set
{{j2,g},{j2}} is V26() V30() set
(Gauge (n,C)) * (j2,g) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,f] is set
{f,f} is V26() set
{f} is V26() set
{{f,f},{f}} is V26() V30() set
(Gauge (n,C)) * (f,f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
g + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
left_cell ((N . k),i2,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((N . k),i2,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (m,u) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (m,u))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (m,u))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
a is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
r is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (a,r) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (a,r))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (a,r))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (m,u) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (m,u))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (m,u))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
a is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
r is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (a,r) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (a,r))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (a,r))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (m,u) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (m,u))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (m,u))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
a is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
r is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (a,r) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (a,r))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (a,r))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . (k + 1)) /. (i2 + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (m,u) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (m,u))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (m,u))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . (k + 1)) /. i2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (m,u) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (m,u))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (m,u))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
j2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),(j2 -' 1),g) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),g) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(j2 -' 1))) /\ (h_strip ((Gauge (n,C)),g)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),j2,g) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),j2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),j2)) /\ (h_strip ((Gauge (n,C)),g)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),j2,g) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),j2) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),g) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),j2)) /\ (h_strip ((Gauge (n,C)),g)) is Element of K6( the carrier of (TOP-REAL 2))
g -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),j2,(g -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(g -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),j2)) /\ (h_strip ((Gauge (n,C)),(g -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),f,(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),f)) /\ (h_strip ((Gauge (n,C)),(f -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),f,f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),f)) /\ (h_strip ((Gauge (n,C)),f)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),f,f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),f)) /\ (h_strip ((Gauge (n,C)),f)) is Element of K6( the carrier of (TOP-REAL 2))
j2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),(j2 -' 1),f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(j2 -' 1))) /\ (h_strip ((Gauge (n,C)),f)) is Element of K6( the carrier of (TOP-REAL 2))
dom (N . 0) is V26() Element of K6(NAT)
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N . 0) /. k is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,i1] is set
{m,i1} is V26() set
{m} is V26() set
{{m,i1},{m}} is V26() V30() set
j1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[j1,i2] is set
{j1,i2} is V26() set
{j1} is V26() set
{{j1,i2},{j1}} is V26() V30() set
(N . 0) /. i is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (m,i1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . 0) /. (i + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (j1,i2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m - j1 is V11() real ext-real set
abs (m - j1) is V11() real ext-real Element of REAL
i1 - i2 is V11() real ext-real set
abs (i1 - i2) is V11() real ext-real Element of REAL
(abs (m - j1)) + (abs (i1 - i2)) is V11() real ext-real Element of REAL
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
left_cell ((N . 0),k,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((N . 0),k,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N . k is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len (N . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len (N . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N . k) /. ((len (N . k)) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . k) /. (len (N . k)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
front_left_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N . (k + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
m -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i,i1] is set
{i,i1} is V26() set
{i} is V26() set
{{i,i1},{i}} is V26() V30() set
(Gauge (n,C)) * (i,i1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,j1] is set
{m,j1} is V26() set
{m} is V26() set
{{m,j1},{m}} is V26() V30() set
(Gauge (n,C)) * (m,j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
[(m + 1),j1] is set
{(m + 1),j1} is V26() set
{(m + 1)} is V26() set
{{(m + 1),j1},{(m + 1)}} is V26() V30() set
(Gauge (n,C)) * ((m + 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * ((m + 1),j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * ((m + 1),j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
j1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,(j1 -' 1)] is set
{m,(j1 -' 1)} is V26() set
{{m,(j1 -' 1)},{m}} is V26() V30() set
(Gauge (n,C)) * (m,(j1 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (m,(j1 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (m,(j1 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
j1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[m,(j1 + 1)] is set
{m,(j1 + 1)} is V26() set
{{m,(j1 + 1)},{m}} is V26() V30() set
(Gauge (n,C)) * (m,(j1 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (m,(j1 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (m,(j1 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
[(m -' 1),j1] is set
{(m -' 1),j1} is V26() set
{(m -' 1)} is V26() set
{{(m -' 1),j1},{(m -' 1)}} is V26() V30() set
(Gauge (n,C)) * ((m -' 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * ((m -' 1),j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * ((m -' 1),j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
((len (N . k)) -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
((len (N . k)) -' 1) + (1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(len (N . k)) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
right_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
dom (N . k) is V26() Element of K6(NAT)
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (i2,j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . (k + 1)) /. ((len (N . k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . (k + 1)) /. ((len (N . k)) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . (k + 1)) /. (len (N . k)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (i2,j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (n,C)) * (i2,j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N . k is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
k -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
front_left_cell ((N . k),(k -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((N . k),(k -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N . (k + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len (N . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len (N . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
((len (N . k)) -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(N . k) /. ((len (N . k)) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . k) /. (len (N . k)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i,m] is set
{i,m} is V26() set
{i} is V26() set
{{i,m},{i}} is V26() V30() set
(Gauge (n,C)) * (i,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i1,j1] is set
{i1,j1} is V26() set
{i1} is V26() set
{{i1,j1},{i1}} is V26() V30() set
(Gauge (n,C)) * (i1,j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N . 0) | k is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
N . k is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . 0) | 0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real Relation-like non-empty empty-yielding NAT -defined the carrier of (TOP-REAL 2) -valued Function-like one-to-one constant functional V26() V27() V30() FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative FinSequence of the carrier of (TOP-REAL 2)
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N . (k + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
N . k is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len (N . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N . (0 + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),i,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (i,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i,(width (Gauge (n,C)))))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i,m] is set
{i,m} is V26() set
{i} is V26() set
{{i,m},{i}} is V26() V30() set
(Gauge (n,C)) * (i,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i,m))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i,m))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N . (0 + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),i,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (i,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i,(width (Gauge (n,C)))))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(i + 1),m] is set
{(i + 1),m} is V26() set
{(i + 1)} is V26() set
{{(i + 1),m},{(i + 1)}} is V26() V30() set
(Gauge (n,C)) * ((i + 1),m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * ((i + 1),m))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * ((i + 1),m))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N . (1 + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),i1,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),i1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),i1)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (i1,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (i1,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((i1 + 1),(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i1,(width (Gauge (n,C))))),((Gauge (n,C)) * ((i1 + 1),(width (Gauge (n,C)))))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 2 -element FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(len (N . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
((len (N . k)) -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(N . k) /. ((len (N . k)) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . k) /. (len (N . k)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i,m] is set
{i,m} is V26() set
{i} is V26() set
{{i,m},{i}} is V26() V30() set
(Gauge (n,C)) * (i,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i1,j1] is set
{i1,j1} is V26() set
{i1} is V26() set
{{i1,j1},{i1}} is V26() V30() set
(Gauge (n,C)) * (i1,j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
front_left_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
[(i1 + 1),j1] is set
{(i1 + 1),j1} is V26() set
{(i1 + 1)} is V26() set
{{(i1 + 1),j1},{(i1 + 1)}} is V26() V30() set
(Gauge (n,C)) * ((i1 + 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * ((i1 + 1),j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * ((i1 + 1),j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
j1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i1,(j1 -' 1)] is set
{i1,(j1 -' 1)} is V26() set
{{i1,(j1 -' 1)},{i1}} is V26() V30() set
(Gauge (n,C)) * (i1,(j1 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i1,(j1 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i1,(j1 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
[i1,(j1 + 1)] is set
{i1,(j1 + 1)} is V26() set
{{i1,(j1 + 1)},{i1}} is V26() V30() set
(Gauge (n,C)) * (i1,(j1 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i1,(j1 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i1,(j1 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(i1 -' 1),j1] is set
{(i1 -' 1),j1} is V26() set
{(i1 -' 1)} is V26() set
{{(i1 -' 1),j1},{(i1 -' 1)}} is V26() V30() set
(Gauge (n,C)) * ((i1 -' 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * ((i1 -' 1),j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * ((i1 -' 1),j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i2,j2] is set
{i2,j2} is V26() set
{i2} is V26() set
{{i2,j2},{i2}} is V26() V30() set
(Gauge (n,C)) * (i2,j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
front_left_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
[i1,(j1 + 1)] is set
{i1,(j1 + 1)} is V26() set
{{i1,(j1 + 1)},{i1}} is V26() V30() set
(Gauge (n,C)) * (i1,(j1 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i1,(j1 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i1,(j1 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
[(i1 + 1),j1] is set
{(i1 + 1),j1} is V26() set
{(i1 + 1)} is V26() set
{{(i1 + 1),j1},{(i1 + 1)}} is V26() V30() set
(Gauge (n,C)) * ((i1 + 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * ((i1 + 1),j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * ((i1 + 1),j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(i1 -' 1),j1] is set
{(i1 -' 1),j1} is V26() set
{(i1 -' 1)} is V26() set
{{(i1 -' 1),j1},{(i1 -' 1)}} is V26() V30() set
(Gauge (n,C)) * ((i1 -' 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * ((i1 -' 1),j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * ((i1 -' 1),j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
j1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i1,(j1 -' 1)] is set
{i1,(j1 -' 1)} is V26() set
{{i1,(j1 -' 1)},{i1}} is V26() V30() set
(Gauge (n,C)) * (i1,(j1 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i1,(j1 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i1,(j1 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i2,j2] is set
{i2,j2} is V26() set
{i2} is V26() set
{{i2,j2},{i2}} is V26() V30() set
(Gauge (n,C)) * (i2,j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
front_left_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
i1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(i1 -' 1),j1] is set
{(i1 -' 1),j1} is V26() set
{(i1 -' 1)} is V26() set
{{(i1 -' 1),j1},{(i1 -' 1)}} is V26() V30() set
(Gauge (n,C)) * ((i1 -' 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * ((i1 -' 1),j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * ((i1 -' 1),j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
[i1,(j1 + 1)] is set
{i1,(j1 + 1)} is V26() set
{{i1,(j1 + 1)},{i1}} is V26() V30() set
(Gauge (n,C)) * (i1,(j1 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i1,(j1 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i1,(j1 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
j1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i1,(j1 -' 1)] is set
{i1,(j1 -' 1)} is V26() set
{{i1,(j1 -' 1)},{i1}} is V26() V30() set
(Gauge (n,C)) * (i1,(j1 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i1,(j1 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i1,(j1 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
[(i1 + 1),j1] is set
{(i1 + 1),j1} is V26() set
{(i1 + 1)} is V26() set
{{(i1 + 1),j1},{(i1 + 1)}} is V26() V30() set
(Gauge (n,C)) * ((i1 + 1),j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * ((i1 + 1),j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * ((i1 + 1),j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i2,j2] is set
{i2,j2} is V26() set
{i2} is V26() set
{{i2,j2},{i2}} is V26() V30() set
(Gauge (n,C)) * (i2,j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
front_left_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i2,j2] is set
{i2,j2} is V26() set
{i2} is V26() set
{{i2,j2},{i2}} is V26() V30() set
(Gauge (n,C)) * (i2,j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i2,j2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N . k is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N . (k + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N . (k + 1)) | i is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
N . i is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len (N . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N . k) | i is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,i1] is set
{m,i1} is V26() set
{m} is V26() set
{{m,i1},{m}} is V26() V30() set
(Gauge (n,C)) * (m,i1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (m,i1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (m,i1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len (N . (k + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N . k is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N . (k + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
len (N . (k + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
k -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(k -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
len (N . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N . k) /. (k -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . k) /. (len (N . k)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,i1] is set
{m,i1} is V26() set
{m} is V26() set
{{m,i1},{m}} is V26() V30() set
(Gauge (n,C)) * (m,i1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[j1,i2] is set
{j1,i2} is V26() set
{j1} is V26() set
{{j1,i2},{j1}} is V26() V30() set
(Gauge (n,C)) * (j1,i2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
LSeg ((N . k),(k -' 1)) is closed Element of K6( the carrier of (TOP-REAL 2))
LSeg (((Gauge (n,C)) * (m,i1)),((Gauge (n,C)) * (j1,i2))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
i2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(i2 -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(j1 -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(len (N . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
front_left_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
[(j1 + 1),i2] is set
{(j1 + 1),i2} is V26() set
{(j1 + 1)} is V26() set
{{(j1 + 1),i2},{(j1 + 1)}} is V26() V30() set
(Gauge (n,C)) * ((j1 + 1),i2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * ((j1 + 1),i2))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((N . k),(k -' 1))) /\ (LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * ((j1 + 1),i2)))) is Element of K6( the carrier of (TOP-REAL 2))
{((N . k) /. (len (N . k)))} is V26() set
<*((Gauge (n,C)) * ((j1 + 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * ((j1 + 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
[j1,(i2 -' 1)] is set
{j1,(i2 -' 1)} is V26() set
{{j1,(i2 -' 1)},{j1}} is V26() V30() set
(Gauge (n,C)) * (j1,(i2 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * (j1,(i2 -' 1)))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((N . k),(k -' 1))) /\ (LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * (j1,(i2 -' 1))))) is Element of K6( the carrier of (TOP-REAL 2))
{((N . k) /. (len (N . k)))} is V26() set
<*((Gauge (n,C)) * (j1,(i2 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (j1,(i2 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
[j1,(i2 + 1)] is set
{j1,(i2 + 1)} is V26() set
{{j1,(i2 + 1)},{j1}} is V26() V30() set
(Gauge (n,C)) * (j1,(i2 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * (j1,(i2 + 1)))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((N . k),(k -' 1))) /\ (LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * (j1,(i2 + 1))))) is Element of K6( the carrier of (TOP-REAL 2))
{((N . k) /. (len (N . k)))} is V26() set
<*((Gauge (n,C)) * (j1,(i2 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (j1,(i2 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
[(j1 -' 1),i2] is set
{(j1 -' 1),i2} is V26() set
{(j1 -' 1)} is V26() set
{{(j1 -' 1),i2},{(j1 -' 1)}} is V26() V30() set
(Gauge (n,C)) * ((j1 -' 1),i2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * ((j1 -' 1),i2))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((N . k),(k -' 1))) /\ (LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * ((j1 -' 1),i2)))) is Element of K6( the carrier of (TOP-REAL 2))
{((N . k) /. (len (N . k)))} is V26() set
<*((Gauge (n,C)) * ((j1 -' 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * ((j1 -' 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(len (N . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
front_left_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
[j1,(i2 + 1)] is set
{j1,(i2 + 1)} is V26() set
{{j1,(i2 + 1)},{j1}} is V26() V30() set
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i1 + (1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (n,C)) * (j1,(i2 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * (j1,(i2 + 1)))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((N . k),(k -' 1))) /\ (LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * (j1,(i2 + 1))))) is Element of K6( the carrier of (TOP-REAL 2))
{((N . k) /. (len (N . k)))} is V26() set
<*((Gauge (n,C)) * (j1,(i2 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (j1,(i2 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
[(j1 + 1),i2] is set
{(j1 + 1),i2} is V26() set
{(j1 + 1)} is V26() set
{{(j1 + 1),i2},{(j1 + 1)}} is V26() V30() set
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
m + (1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (n,C)) * ((j1 + 1),i2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * ((j1 + 1),i2))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((N . k),(k -' 1))) /\ (LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * ((j1 + 1),i2)))) is Element of K6( the carrier of (TOP-REAL 2))
{((N . k) /. (len (N . k)))} is V26() set
<*((Gauge (n,C)) * ((j1 + 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * ((j1 + 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
[(j1 -' 1),i2] is set
{(j1 -' 1),i2} is V26() set
{(j1 -' 1)} is V26() set
{{(j1 -' 1),i2},{(j1 -' 1)}} is V26() V30() set
((j1 -' 1) + 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(j1 -' 1) + (1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (n,C)) * ((j1 -' 1),i2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * ((j1 -' 1),i2))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((N . k),(k -' 1))) /\ (LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * ((j1 -' 1),i2)))) is Element of K6( the carrier of (TOP-REAL 2))
{((N . k) /. (len (N . k)))} is V26() set
<*((Gauge (n,C)) * ((j1 -' 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * ((j1 -' 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
[j1,(i2 -' 1)] is set
{j1,(i2 -' 1)} is V26() set
{{j1,(i2 -' 1)},{j1}} is V26() V30() set
((i2 -' 1) + 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(i2 -' 1) + (1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (n,C)) * (j1,(i2 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * (j1,(i2 -' 1)))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((N . k),(k -' 1))) /\ (LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * (j1,(i2 -' 1))))) is Element of K6( the carrier of (TOP-REAL 2))
{((N . k) /. (len (N . k)))} is V26() set
<*((Gauge (n,C)) * (j1,(i2 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (j1,(i2 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(len (N . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
front_left_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
[(j1 -' 1),i2] is set
{(j1 -' 1),i2} is V26() set
{(j1 -' 1)} is V26() set
{{(j1 -' 1),i2},{(j1 -' 1)}} is V26() V30() set
(Gauge (n,C)) * ((j1 -' 1),i2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * ((j1 -' 1),i2))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((N . k),(k -' 1))) /\ (LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * ((j1 -' 1),i2)))) is Element of K6( the carrier of (TOP-REAL 2))
{((N . k) /. (len (N . k)))} is V26() set
<*((Gauge (n,C)) * ((j1 -' 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * ((j1 -' 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
[j1,(i2 + 1)] is set
{j1,(i2 + 1)} is V26() set
{{j1,(i2 + 1)},{j1}} is V26() V30() set
(Gauge (n,C)) * (j1,(i2 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * (j1,(i2 + 1)))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((N . k),(k -' 1))) /\ (LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * (j1,(i2 + 1))))) is Element of K6( the carrier of (TOP-REAL 2))
{((N . k) /. (len (N . k)))} is V26() set
<*((Gauge (n,C)) * (j1,(i2 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (j1,(i2 + 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
[j1,(i2 -' 1)] is set
{j1,(i2 -' 1)} is V26() set
{{j1,(i2 -' 1)},{j1}} is V26() V30() set
(Gauge (n,C)) * (j1,(i2 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * (j1,(i2 -' 1)))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((N . k),(k -' 1))) /\ (LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * (j1,(i2 -' 1))))) is Element of K6( the carrier of (TOP-REAL 2))
{((N . k) /. (len (N . k)))} is V26() set
<*((Gauge (n,C)) * (j1,(i2 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (j1,(i2 -' 1)))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
[(j1 + 1),i2] is set
{(j1 + 1),i2} is V26() set
{(j1 + 1)} is V26() set
{{(j1 + 1),i2},{(j1 + 1)}} is V26() V30() set
(Gauge (n,C)) * ((j1 + 1),i2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * ((j1 + 1),i2))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((N . k),(k -' 1))) /\ (LSeg (((N . k) /. (len (N . k))),((Gauge (n,C)) * ((j1 + 1),i2)))) is Element of K6( the carrier of (TOP-REAL 2))
{((N . k) /. (len (N . k)))} is V26() set
<*((Gauge (n,C)) * ((j1 + 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * ((j1 + 1),i2))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(len (N . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
front_left_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((N . k),((len (N . k)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N . k is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N . (k + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom (N . (k + 1)) is V26() Element of K6(NAT)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N . (k + 1)) /. i is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . (k + 1)) /. m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
len (N . (k + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
len (N . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom (N . k) is V26() Element of K6(NAT)
(N . k) /. m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i1,j1] is set
{i1,j1} is V26() set
{i1} is V26() set
{{i1,j1},{i1}} is V26() V30() set
(Gauge (n,C)) * (i1,j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i1,j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i1,j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . k) /. i is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i1,j1] is set
{i1,j1} is V26() set
{i1} is V26() set
{{i1,j1},{i1}} is V26() V30() set
(Gauge (n,C)) * (i1,j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (i1,j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
(N . k) ^ <*((Gauge (n,C)) * (i1,j1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N . k is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
rng (N . k) is V26() set
card (rng (N . k)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of omega
len (N . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len (Gauge (n,C))) * (width (Gauge (n,C))) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
((len (Gauge (n,C))) * (width (Gauge (n,C)))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N . (((len (Gauge (n,C))) * (width (Gauge (n,C)))) + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
Values (Gauge (n,C)) is V26() set
card (Values (Gauge (n,C))) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of omega
rng (N . (((len (Gauge (n,C))) * (width (Gauge (n,C)))) + 1)) is V26() set
card (rng (N . (((len (Gauge (n,C))) * (width (Gauge (n,C)))) + 1))) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of omega
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N . k is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
dom (N . k) is V26() Element of K6(NAT)
len (N . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N . k) /. i is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . k) /. (len (N . k)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative set
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N . i is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
dom (N . i) is V26() Element of K6(NAT)
len (N . i) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N . i) /. (len (N . i)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N . m is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
dom (N . m) is V26() Element of K6(NAT)
len (N . m) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N . m) /. i1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . m) /. (len (N . m)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N . i) /. m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N . j1 is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
dom (N . j1) is V26() Element of K6(NAT)
len (N . j1) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N . j1) /. i2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . j1) /. (len (N . j1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i1 is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j1 is non empty V2() Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like non constant V26() FinSequence-like FinSubsequence-like special unfolded FinSequence of the carrier of (TOP-REAL 2)
len j1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 /^ (m -' 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like special unfolded FinSequence of the carrier of (TOP-REAL 2)
len (j1 /^ (m -' 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len j1) - (m -' 1) is V11() real ext-real Element of REAL
(m -' 1) - (m -' 1) is V11() real ext-real set
j2 is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom j2 is non empty V26() Element of K6(NAT)
j2 /. (len j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(m -' 1) + (len j2) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 /. ((m -' 1) + (len j2)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 /. (len j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 /. g is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 /. f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(m -' 1) + f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 /. ((m -' 1) + f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(m -' 1) + g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 /. ((m -' 1) + g) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N . ((m -' 1) + g) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len (N . ((m -' 1) + g)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 | ((m -' 1) + g) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like special unfolded FinSequence of the carrier of (TOP-REAL 2)
0 + g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom (N . ((m -' 1) + g)) is V26() Element of K6(NAT)
(N . ((m -' 1) + g)) /. ((m -' 1) + g) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
0 + f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N . ((m -' 1) + g)) /. ((m -' 1) + f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N . ((m -' 1) + f) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len (N . ((m -' 1) + f)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 | ((m -' 1) + f) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like special unfolded FinSequence of the carrier of (TOP-REAL 2)
0 + f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom (N . ((m -' 1) + f)) is V26() Element of K6(NAT)
(N . ((m -' 1) + f)) /. ((m -' 1) + f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
0 + g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N . ((m -' 1) + f)) /. ((m -' 1) + g) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N . (1 + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
g + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),g,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),g) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),g)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (g,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (g,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((g + 1),(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((Gauge (n,C)) * (g,(width (Gauge (n,C))))),((Gauge (n,C)) * ((g + 1),(width (Gauge (n,C)))))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 2 -element FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j1 | 2 is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like special unfolded FinSequence of the carrier of (TOP-REAL 2)
N . 2 is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len (j1 | 2) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom (j1 | 2) is V26() Element of K6(NAT)
j1 /. 1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(j1 | 2) /. 1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * (f,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 /. 2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(j1 | 2) /. 2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((f + 1),(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),f,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),f)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (f,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 /. 1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(m -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j1 /. ((m -' 1) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 /. m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 /. g is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 /. f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(m + 1) - (m -' 1) is V11() real ext-real Element of REAL
m - 1 is V11() real ext-real Element of REAL
(m + 1) - (m - 1) is V11() real ext-real Element of REAL
1 + m is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(1 + m) - m is V11() real ext-real Element of REAL
((1 + m) - m) + 1 is V11() real ext-real Element of REAL
j2 . 1 is set
j2 . 2 is set
j2 /. (1 + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 /. g is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 /. f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
g + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
LSeg (j2,g) is closed Element of K6( the carrier of (TOP-REAL 2))
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
LSeg (j2,f) is closed Element of K6( the carrier of (TOP-REAL 2))
j2 /. f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 /. (f + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg ((j2 /. f),(j2 /. (f + 1))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,m] is set
{f,m} is V26() set
{f} is V26() set
{{f,m},{f}} is V26() V30() set
(Gauge (n,C)) * (f,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,a] is set
{u,a} is V26() set
{u} is V26() set
{{u,a},{u}} is V26() V30() set
(Gauge (n,C)) * (u,a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
u + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 /. g is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 /. (g + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg ((j2 /. g),(j2 /. (g + 1))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
r is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
r is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[r,r] is set
{r,r} is V26() set
{r} is V26() set
{{r,r},{r}} is V26() V30() set
(Gauge (n,C)) * (r,r) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
B is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
q2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[B,q2] is set
{B,q2} is V26() set
{B} is V26() set
{{B,q2},{B}} is V26() V30() set
(Gauge (n,C)) * (B,q2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
r + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
r + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
B + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
q2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 /. g is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 /. (g + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg ((j2 /. g),(j2 /. (g + 1))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,m] is set
{f,m} is V26() set
{f} is V26() set
{{f,m},{f}} is V26() V30() set
(Gauge (n,C)) * (f,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,a] is set
{u,a} is V26() set
{u} is V26() set
{{u,a},{u}} is V26() V30() set
(Gauge (n,C)) * (u,a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
u + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 /. f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j2 /. (f + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
r is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
r is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[r,r] is set
{r,r} is V26() set
{r} is V26() set
{{r,r},{r}} is V26() V30() set
(Gauge (n,C)) * (r,r) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
B is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
q2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[B,q2] is set
{B,q2} is V26() set
{B} is V26() set
{{B,q2},{B}} is V26() V30() set
(Gauge (n,C)) * (B,q2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
r + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
r + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
B + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
q2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
LSeg ((j2 /. f),(j2 /. (f + 1))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
right_cell (j1,f,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
Int (right_cell (j1,f,(Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
Cl (Int (right_cell (j1,f,(Gauge (n,C))))) is Element of K6( the carrier of (TOP-REAL 2))
j1 /. f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 /. (f + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,m] is set
{f,m} is V26() set
{f} is V26() set
{{f,m},{f}} is V26() V30() set
(Gauge (n,C)) * (f,m) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[u,a] is set
{u,a} is V26() set
{u} is V26() set
{{u,a},{u}} is V26() V30() set
(Gauge (n,C)) * (u,a) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
u + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (n,C)),f,m) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),m) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),f)) /\ (h_strip ((Gauge (n,C)),m)) is Element of K6( the carrier of (TOP-REAL 2))
m -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),f,(m -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(m -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),f)) /\ (h_strip ((Gauge (n,C)),(m -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),u,a) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),u) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),a) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),u)) /\ (h_strip ((Gauge (n,C)),a)) is Element of K6( the carrier of (TOP-REAL 2))
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),(f -' 1),a) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),a) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(f -' 1))) /\ (h_strip ((Gauge (n,C)),a)) is Element of K6( the carrier of (TOP-REAL 2))
L~ j1 is non empty closed compact Element of K6( the carrier of (TOP-REAL 2))
f is non empty V2() Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like non constant V26() FinSequence-like FinSubsequence-like V182( the carrier of (TOP-REAL 2)) special unfolded s.c.c. standard FinSequence of the carrier of (TOP-REAL 2)
L~ f is non empty closed compact Element of K6( the carrier of (TOP-REAL 2))
(L~ f) ` is Element of K6( the carrier of (TOP-REAL 2))
f is Element of K6( the carrier of (TOP-REAL 2))
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j1 /. m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
right_cell (j1,m,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
(right_cell (j1,m,(Gauge (n,C)))) \ (L~ f) is Element of K6( the carrier of (TOP-REAL 2))
u is Element of K6( the carrier of (TOP-REAL 2))
a is set
r is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
B is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
B + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
LSeg (j1,B) is closed Element of K6( the carrier of (TOP-REAL 2))
left_cell (j1,B,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell (j1,B,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
(left_cell (j1,B,(Gauge (n,C)))) /\ (right_cell (j1,B,(Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
r is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
r is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
Int (right_cell (j1,m,(Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
(right_cell (j1,m,(Gauge (n,C)))) /\ ((L~ f) `) is Element of K6( the carrier of (TOP-REAL 2))
Cl (Int (right_cell (j1,m,(Gauge (n,C))))) is Element of K6( the carrier of (TOP-REAL 2))
g is non empty V2() Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like non constant V26() FinSequence-like FinSubsequence-like V182( the carrier of (TOP-REAL 2)) special unfolded s.c.c. standard FinSequence of the carrier of (TOP-REAL 2)
L~ g is non empty closed compact Element of K6( the carrier of (TOP-REAL 2))
(L~ g) ` is Element of K6( the carrier of (TOP-REAL 2))
Int ((L~ g) `) is Element of K6( the carrier of (TOP-REAL 2))
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N . f is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . f) /. f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N . f is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . f) /. f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
len (N . f) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N . f) | f is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len ((N . f) | f) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom ((N . f) | f) is V26() Element of K6(NAT)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 /. f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
LSeg (j1,m) is closed Element of K6( the carrier of (TOP-REAL 2))
j1 /. m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N . m is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len (N . m) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom (N . m) is V26() Element of K6(NAT)
(N . m) /. f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N . f is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . f) /. f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . m) /. m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . m) /. (len (N . m)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 /. (m + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N . m is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len (N . m) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom (N . m) is V26() Element of K6(NAT)
(N . m) /. f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N . f is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . f) /. f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . i) /. i is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . m) /. m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . m) /. (len (N . m)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N . (m + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len (N . (m + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom (N . (m + 1)) is V26() Element of K6(NAT)
(N . (m + 1)) /. f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N . f is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . f) /. f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . (m + 1)) /. (m + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . (m + 1)) /. (len (N . (m + 1))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 /. m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 /. (m + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
Rev g is non empty V2() Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like non constant V26() FinSequence-like FinSubsequence-like V182( the carrier of (TOP-REAL 2)) special unfolded s.c.c. standard FinSequence of the carrier of (TOP-REAL 2)
RightComp (Rev g) is non empty Element of K6( the carrier of (TOP-REAL 2))
len g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len g) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
((len g) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(len g) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
1 - 1 is V11() real ext-real Element of REAL
(m -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(m -' 1) + ((len g) -' 1) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 /. (m -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Rev g) /. 1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Rev g) /. 2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(1 + 1) - 1 is V11() real ext-real Element of REAL
(len g) - 1 is V11() real ext-real Element of REAL
(1 + 1) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
N . ((m -' 1) + ((len g) -' 1)) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len (N . ((m -' 1) + ((len g) -' 1))) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
len (Rev g) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len (Rev g)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
((len (Rev g)) -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
r is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
r is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[r,r] is set
{r,r} is V26() set
{r} is V26() set
{{r,r},{r}} is V26() V30() set
(Gauge (n,C)) * (r,r) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
B is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
q2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[B,q2] is set
{B,q2} is V26() set
{B} is V26() set
{{B,q2},{B}} is V26() V30() set
(Gauge (n,C)) * (B,q2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
r + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
r + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
B + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
q2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
dom g is non empty V2() V26() Element of K6(NAT)
g /. ((len g) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 /. ((m -' 1) + ((len g) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m + ((len g) -' 1) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(m + ((len g) -' 1)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
((len g) -' 1) + m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(((len g) -' 1) + m) - 1 is V11() real ext-real Element of REAL
((len g) - 1) + m is V11() real ext-real Element of REAL
(((len g) - 1) + m) - 1 is V11() real ext-real Element of REAL
i - (m - 1) is V11() real ext-real Element of REAL
(i - (m - 1)) - 1 is V11() real ext-real Element of REAL
((i - (m - 1)) - 1) + m is V11() real ext-real Element of REAL
(((i - (m - 1)) - 1) + m) - 1 is V11() real ext-real Element of REAL
i - 1 is V11() real ext-real Element of REAL
((m -' 1) + ((len g) -' 1)) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
right_cell (j1,((m -' 1) + ((len g) -' 1)),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell (j1,(m -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
dom (N . ((m -' 1) + ((len g) -' 1))) is V26() Element of K6(NAT)
L~ (Rev g) is non empty closed compact Element of K6( the carrier of (TOP-REAL 2))
a1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[a1,a2] is set
{a1,a2} is V26() set
{a1} is V26() set
{{a1,a2},{a1}} is V26() V30() set
(Gauge (n,C)) * (a1,a2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
p91 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
p92 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[p91,p92] is set
{p91,p92} is V26() set
{p91} is V26() set
{{p91,p92},{p91}} is V26() V30() set
(Gauge (n,C)) * (p91,p92) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
a2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
p91 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
p92 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N . m is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
len (N . m) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N . m) /. m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . i) | (m + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
N . (m + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
N . (m -' 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . (m -' 1)) /. (m -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . m) /. (m -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
r -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
r -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),(r -' 1),r) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(r -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),r) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(r -' 1))) /\ (h_strip ((Gauge (n,C)),r)) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((N . m),(m -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
((len (Rev g)) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Rev g) /. ((len (Rev g)) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
g /. 2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 /. (m + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
g /. 1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Rev g) /. (len g) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Rev g) /. (len (Rev g)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
right_cell ((Rev g),((len (Rev g)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
(right_cell ((Rev g),((len (Rev g)) -' 1),(Gauge (n,C)))) \ (L~ (Rev g)) is Element of K6( the carrier of (TOP-REAL 2))
(L~ (Rev g)) ` is Element of K6( the carrier of (TOP-REAL 2))
(r -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[(r -' 1),r] is set
{(r -' 1),r} is V26() set
{(r -' 1)} is V26() set
{{(r -' 1),r},{(r -' 1)}} is V26() V30() set
(Gauge (n,C)) * ((r -' 1),r) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),(r -' 1),a2) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),a2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(r -' 1))) /\ (h_strip ((Gauge (n,C)),a2)) is Element of K6( the carrier of (TOP-REAL 2))
B -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),a1,a2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),a1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),a2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),a1)) /\ (h_strip ((Gauge (n,C)),a2)) is Element of K6( the carrier of (TOP-REAL 2))
left_cell (j1,(m -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (n,C)),r,r) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),r) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),r) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),r)) /\ (h_strip ((Gauge (n,C)),r)) is Element of K6( the carrier of (TOP-REAL 2))
left_cell (j1,((m -' 1) + ((len g) -' 1)),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
(N . ((m -' 1) + ((len g) -' 1))) /. (m -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N . (m -' 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . (m -' 1)) /. (m -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . ((m -' 1) + ((len g) -' 1))) /. ((m -' 1) + ((len g) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . ((m -' 1) + ((len g) -' 1))) /. (len (N . ((m -' 1) + ((len g) -' 1)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
a1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[a1,a2] is set
{a1,a2} is V26() set
{a1} is V26() set
{{a1,a2},{a1}} is V26() V30() set
(Gauge (n,C)) * (a1,a2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
p91 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
p92 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[p91,p92] is set
{p91,p92} is V26() set
{p91} is V26() set
{{p91,p92},{p91}} is V26() V30() set
(Gauge (n,C)) * (p91,p92) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
a2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
p91 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
p92 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
q2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),a1,a2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),a1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),a2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),a1)) /\ (h_strip ((Gauge (n,C)),a2)) is Element of K6( the carrier of (TOP-REAL 2))
left_cell (j1,((m -' 1) + ((len g) -' 1)),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
N . (m -' 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . (m -' 1)) /. (m -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N . m is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . m) /. (m -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((len (Rev g)) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Rev g) /. ((len (Rev g)) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
g /. 2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 /. (m + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
g /. 1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Rev g) /. (len g) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Rev g) /. (len (Rev g)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
len (N . m) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N . m) /. m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . i) | (m + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
N . (m + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
right_cell ((Rev g),((len (Rev g)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
(right_cell ((Rev g),((len (Rev g)) -' 1),(Gauge (n,C)))) \ (L~ (Rev g)) is Element of K6( the carrier of (TOP-REAL 2))
r -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),r,r) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),r) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),r) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),r)) /\ (h_strip ((Gauge (n,C)),r)) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((N . m),(m -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
[r,(r + 1)] is set
{r,(r + 1)} is V26() set
{{r,(r + 1)},{r}} is V26() V30() set
(Gauge (n,C)) * (r,(r + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),(r -' 1),a2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),(r -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),a2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),(r -' 1))) /\ (h_strip ((Gauge (n,C)),a2)) is Element of K6( the carrier of (TOP-REAL 2))
(L~ (Rev g)) ` is Element of K6( the carrier of (TOP-REAL 2))
(N . ((m -' 1) + ((len g) -' 1))) /. (m -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N . (m -' 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . (m -' 1)) /. (m -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . ((m -' 1) + ((len g) -' 1))) /. ((m -' 1) + ((len g) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . ((m -' 1) + ((len g) -' 1))) /. (len (N . ((m -' 1) + ((len g) -' 1)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),r,r) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),r) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),r) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),r)) /\ (h_strip ((Gauge (n,C)),r)) is Element of K6( the carrier of (TOP-REAL 2))
left_cell (j1,(m -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
a1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[a1,a2] is set
{a1,a2} is V26() set
{a1} is V26() set
{{a1,a2},{a1}} is V26() V30() set
(Gauge (n,C)) * (a1,a2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
p91 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
p92 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[p91,p92] is set
{p91,p92} is V26() set
{p91} is V26() set
{{p91,p92},{p91}} is V26() V30() set
(Gauge (n,C)) * (p91,p92) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
a2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
p91 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
p92 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
q2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),B,(q2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),B) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(q2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),B)) /\ (h_strip ((Gauge (n,C)),(q2 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
left_cell (j1,(m -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
(N . ((m -' 1) + ((len g) -' 1))) /. (m -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N . (m -' 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . (m -' 1)) /. (m -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . ((m -' 1) + ((len g) -' 1))) /. ((m -' 1) + ((len g) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . ((m -' 1) + ((len g) -' 1))) /. (len (N . ((m -' 1) + ((len g) -' 1)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
g /. 1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Rev g) /. (len g) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Rev g) /. (len (Rev g)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N . (m -' 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . (m -' 1)) /. (m -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N . m is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . m) /. (m -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((len (Rev g)) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Rev g) /. ((len (Rev g)) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
g /. 2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 /. (m + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . i) | (m + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
N . (m + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
right_cell ((Rev g),((len (Rev g)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
(right_cell ((Rev g),((len (Rev g)) -' 1),(Gauge (n,C)))) \ (L~ (Rev g)) is Element of K6( the carrier of (TOP-REAL 2))
(L~ (Rev g)) ` is Element of K6( the carrier of (TOP-REAL 2))
r -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(r -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(N . m) /. m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
r -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
len (N . m) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
q2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),B,(q2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),B) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(q2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),B)) /\ (h_strip ((Gauge (n,C)),(q2 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((N . m),(m -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
[r,(r -' 1)] is set
{r,(r -' 1)} is V26() set
{{r,(r -' 1)},{r}} is V26() V30() set
(Gauge (n,C)) * (r,(r -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),r,(r -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),r) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(r -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),r)) /\ (h_strip ((Gauge (n,C)),(r -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
a1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),B,q2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),B) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),q2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),B)) /\ (h_strip ((Gauge (n,C)),q2)) is Element of K6( the carrier of (TOP-REAL 2))
left_cell (j1,((m -' 1) + ((len g) -' 1)),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
a1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
a2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[a1,a2] is set
{a1,a2} is V26() set
{a1} is V26() set
{{a1,a2},{a1}} is V26() V30() set
(Gauge (n,C)) * (a1,a2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
p91 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
p92 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[p91,p92] is set
{p91,p92} is V26() set
{p91} is V26() set
{{p91,p92},{p91}} is V26() V30() set
(Gauge (n,C)) * (p91,p92) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
a2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
a1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
p91 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
p92 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(N . ((m -' 1) + ((len g) -' 1))) /. (m -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N . (m -' 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . (m -' 1)) /. (m -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . ((m -' 1) + ((len g) -' 1))) /. ((m -' 1) + ((len g) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . ((m -' 1) + ((len g) -' 1))) /. (len (N . ((m -' 1) + ((len g) -' 1)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
a2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
B -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),a1,(a2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),a1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),(a2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),a1)) /\ (h_strip ((Gauge (n,C)),(a2 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
left_cell (j1,((m -' 1) + ((len g) -' 1)),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
a2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (n,C)),B,q2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),B) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),q2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),B)) /\ (h_strip ((Gauge (n,C)),q2)) is Element of K6( the carrier of (TOP-REAL 2))
left_cell (j1,(m -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((Rev g),((len (Rev g)) -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
(right_cell ((Rev g),((len (Rev g)) -' 1),(Gauge (n,C)))) \ (L~ (Rev g)) is Element of K6( the carrier of (TOP-REAL 2))
(L~ (Rev g)) ` is Element of K6( the carrier of (TOP-REAL 2))
((len (Rev g)) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Rev g) /. ((len (Rev g)) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
g /. 2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 /. (m + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
g /. 1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Rev g) /. (len g) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Rev g) /. (len (Rev g)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N . (m -' 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . (m -' 1)) /. (m -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N . m is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
(N . m) /. (m -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
r -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
len (N . m) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(N . m) /. m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N . i) | (m + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
N . (m + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),B,q2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),B) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),q2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),B)) /\ (h_strip ((Gauge (n,C)),q2)) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((N . m),(m -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
[(r + 1),r] is set
{(r + 1),r} is V26() set
{(r + 1)} is V26() set
{{(r + 1),r},{(r + 1)}} is V26() V30() set
(Gauge (n,C)) * ((r + 1),r) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),r,r) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),r) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),r) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),r)) /\ (h_strip ((Gauge (n,C)),r)) is Element of K6( the carrier of (TOP-REAL 2))
LeftComp g is non empty Element of K6( the carrier of (TOP-REAL 2))
RightComp g is non empty Element of K6( the carrier of (TOP-REAL 2))
f is Element of K6( the carrier of (TOP-REAL 2))
f is set
len g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
u + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
g /. u is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
g /. (u + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg ((g /. u),(g /. (u + 1))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
u + (m -' 1) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom g is non empty V2() V26() Element of K6(NAT)
(u + 1) + (m -' 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j1 /. ((u + 1) + (m -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(u + (m -' 1)) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(len g) + (m -' 1) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 /. (u + (m -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg (j1,(u + (m -' 1))) is closed Element of K6( the carrier of (TOP-REAL 2))
left_cell (j1,(u + (m -' 1)),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell (j1,(u + (m -' 1)),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
(left_cell (j1,(u + (m -' 1)),(Gauge (n,C)))) /\ (right_cell (j1,(u + (m -' 1)),(Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
the topology of (TOP-REAL 2) is Element of K6(K6( the carrier of (TOP-REAL 2)))
K6(K6( the carrier of (TOP-REAL 2))) is set
TopStruct(# the carrier of (TOP-REAL 2), the topology of (TOP-REAL 2) #) is strict TopStruct
TopSpaceMetr (Euclid 2) is TopStruct
right_cell (j1,m,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
f is set
m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
a is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
u is Element of the carrier of (Euclid 2)
r is V11() real ext-real set
Ball (u,r) is Element of K6( the carrier of (Euclid 2))
K6( the carrier of (Euclid 2)) is set
r is V11() real ext-real Element of REAL
Ball (u,r) is Element of K6( the carrier of (Euclid 2))
B is non empty Element of K6( the carrier of (TOP-REAL 2))
Int (right_cell (j1,m,(Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
Cl (Int (right_cell (j1,m,(Gauge (n,C))))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell (g,1,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
Int (right_cell (g,1,(Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell (g,1) is Element of K6( the carrier of (TOP-REAL 2))
Int (right_cell (g,1)) is Element of K6( the carrier of (TOP-REAL 2))
right_cell (j1,((m -' 1) + 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
Int (right_cell (j1,((m -' 1) + 1),(Gauge (n,C)))) is Element of K6( the carrier of (TOP-REAL 2))
u is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 /^ 0 is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like special unfolded FinSequence of the carrier of (TOP-REAL 2)
f is non empty V2() Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like non constant V26() FinSequence-like FinSubsequence-like V182( the carrier of (TOP-REAL 2)) special unfolded s.c.c. standard FinSequence of the carrier of (TOP-REAL 2)
f /. 2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f /. 1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f /. (1 + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg ((f /. 1),(f /. (1 + 1))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
L~ f is non empty closed compact Element of K6( the carrier of (TOP-REAL 2))
NW-corner (L~ f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
W-bound (L~ f) is V11() real ext-real Element of REAL
(TOP-REAL 2) | (L~ f) is strict compact SubSpace of TOP-REAL 2
proj1 | (L~ f) is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | (L~ f)), REAL ) V178((TOP-REAL 2) | (L~ f)) Element of K6(K7( the carrier of ((TOP-REAL 2) | (L~ f)),REAL))
the carrier of ((TOP-REAL 2) | (L~ f)) is set
K7( the carrier of ((TOP-REAL 2) | (L~ f)),REAL) is Relation-like set
K6(K7( the carrier of ((TOP-REAL 2) | (L~ f)),REAL)) is set
K377(((TOP-REAL 2) | (L~ f)),(proj1 | (L~ f))) is V11() real ext-real Element of REAL
N-bound (L~ f) is V11() real ext-real Element of REAL
proj2 | (L~ f) is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | (L~ f)), REAL ) V178((TOP-REAL 2) | (L~ f)) Element of K6(K7( the carrier of ((TOP-REAL 2) | (L~ f)),REAL))
K378(((TOP-REAL 2) | (L~ f)),(proj2 | (L~ f))) is V11() real ext-real Element of REAL
|[(W-bound (L~ f)),(N-bound (L~ f))]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
(NW-corner (L~ f)) `1 is V11() real ext-real Element of REAL
(f /. 2) `1 is V11() real ext-real Element of REAL
NE-corner (L~ f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
E-bound (L~ f) is V11() real ext-real Element of REAL
K378(((TOP-REAL 2) | (L~ f)),(proj1 | (L~ f))) is V11() real ext-real Element of REAL
|[(E-bound (L~ f)),(N-bound (L~ f))]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
(NE-corner (L~ f)) `1 is V11() real ext-real Element of REAL
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
left_cell (f,f,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell (f,f,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
N-min (L~ f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N-most (L~ f) is non empty compact Element of K6( the carrier of (TOP-REAL 2))
LSeg ((NW-corner (L~ f)),(NE-corner (L~ f))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((NW-corner (L~ f)),(NE-corner (L~ f)))) /\ (L~ f) is compact Element of K6( the carrier of (TOP-REAL 2))
(TOP-REAL 2) | (N-most (L~ f)) is strict compact SubSpace of TOP-REAL 2
proj1 | (N-most (L~ f)) is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | (N-most (L~ f))), REAL ) V178((TOP-REAL 2) | (N-most (L~ f))) Element of K6(K7( the carrier of ((TOP-REAL 2) | (N-most (L~ f))),REAL))
the carrier of ((TOP-REAL 2) | (N-most (L~ f))) is set
K7( the carrier of ((TOP-REAL 2) | (N-most (L~ f))),REAL) is Relation-like set
K6(K7( the carrier of ((TOP-REAL 2) | (N-most (L~ f))),REAL)) is set
K377(((TOP-REAL 2) | (N-most (L~ f))),(proj1 | (N-most (L~ f)))) is V11() real ext-real Element of REAL
|[K377(((TOP-REAL 2) | (N-most (L~ f))),(proj1 | (N-most (L~ f)))),(N-bound (L~ f))]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (n,C)) * (f,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((f + 1),(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),f,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),f)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (f,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (n,C)) * (f,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((f + 1),(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),f,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),f)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (f,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (n,C)) * (f,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((f + 1),(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),f,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),f)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (f,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(N-min (L~ f)) `2 is V11() real ext-real Element of REAL
((Gauge (n,C)) * (f,(width (Gauge (n,C))))) `2 is V11() real ext-real Element of REAL
(Gauge (n,C)) * (1,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (n,C)) * (1,(width (Gauge (n,C))))) `2 is V11() real ext-real Element of REAL
((Gauge (n,C)) * ((f + 1),(width (Gauge (n,C))))) `2 is V11() real ext-real Element of REAL
(NW-corner (L~ f)) `2 is V11() real ext-real Element of REAL
(NE-corner (L~ f)) `2 is V11() real ext-real Element of REAL
f is non empty V2() Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like non constant V26() FinSequence-like FinSubsequence-like V182( the carrier of (TOP-REAL 2)) special unfolded s.c.c. standard clockwise_oriented FinSequence of the carrier of (TOP-REAL 2)
f /. 1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f /. 2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (n,C)) * (m,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((m + 1),(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),m,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),m) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),m)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (m,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
front_left_cell (f,m,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (f,m,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(m + 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
N . ((m + 1) + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
f | ((m + 1) + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like special unfolded FinSequence of the carrier of (TOP-REAL 2)
f | (m + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like special unfolded FinSequence of the carrier of (TOP-REAL 2)
N . (m + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
front_left_cell ((N . (m + 1)),m,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
(m + 1) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
front_right_cell ((N . (m + 1)),m,(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
f is non empty V2() Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like non constant V26() FinSequence-like FinSubsequence-like V182( the carrier of (TOP-REAL 2)) special unfolded s.c.c. standard clockwise_oriented FinSequence of the carrier of (TOP-REAL 2)
f /. 1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f /. 2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
len f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G is non empty V2() Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like non constant V26() FinSequence-like FinSubsequence-like V182( the carrier of (TOP-REAL 2)) special unfolded s.c.c. standard clockwise_oriented FinSequence of the carrier of (TOP-REAL 2)
G /. 1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G /. 2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
len G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (n,C)) * (f,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((f + 1),(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),f,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),f)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (f,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
W is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
W + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (n,C)) * (W,(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (n,C)) * ((W + 1),(width (Gauge (n,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (n,C)),W,((width (Gauge (n,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (n,C)),W) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (n,C)),W)) /\ (h_strip ((Gauge (n,C)),((width (Gauge (n,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (n,C)) * (W,((width (Gauge (n,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f | 1 is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like special unfolded FinSequence of the carrier of (TOP-REAL 2)
<*(f /. 1)*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
G | 1 is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like special unfolded FinSequence of the carrier of (TOP-REAL 2)
<*(G /. 1)*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
E is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f | E is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like special unfolded FinSequence of the carrier of (TOP-REAL 2)
G | E is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like special unfolded FinSequence of the carrier of (TOP-REAL 2)
E + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f | (E + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like special unfolded FinSequence of the carrier of (TOP-REAL 2)
G | (E + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like special unfolded FinSequence of the carrier of (TOP-REAL 2)
f | 2 is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like special unfolded FinSequence of the carrier of (TOP-REAL 2)
<*(f /. 1),(f /. 2)*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 2 -element FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
f /. (len f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G /. (len G) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
E -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(E -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
front_left_cell (f,(E -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((f | E),(E -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(E -' 1) + (1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
dom (G | E) is V26() Element of K6(NAT)
(f | E) /. (len G) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f /. (len G) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
front_right_cell (G,(E -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((G | E),(E -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (G,(E -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((G | E),(E -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (f,(E -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((f | E),(E -' 1),(Gauge (n,C))) is Element of K6( the carrier of (TOP-REAL 2))
dom (f | E) is V26() Element of K6(NAT)
(G | E) /. (len f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
G /. (len f) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
f | 0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real Relation-like non-empty empty-yielding NAT -defined the carrier of (TOP-REAL 2) -valued Function-like one-to-one constant functional V26() V27() V30() FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative special unfolded FinSequence of the carrier of (TOP-REAL 2)
G | 0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real Relation-like non-empty empty-yielding NAT -defined the carrier of (TOP-REAL 2) -valued Function-like one-to-one constant functional V26() V27() V30() FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative special unfolded FinSequence of the carrier of (TOP-REAL 2)
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
n + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f is non empty compact non horizontal non vertical Element of K6( the carrier of (TOP-REAL 2))
(f,C) is non empty V2() Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like non constant V26() FinSequence-like FinSubsequence-like V182( the carrier of (TOP-REAL 2)) special unfolded s.c.c. standard clockwise_oriented FinSequence of the carrier of (TOP-REAL 2)
len (f,C) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
Gauge (f,C) is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
left_cell ((f,C),n,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((f,C),n,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
W-bound f is V11() real ext-real Element of REAL
(TOP-REAL 2) | f is strict compact SubSpace of TOP-REAL 2
proj1 | f is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | f), REAL ) V178((TOP-REAL 2) | f) Element of K6(K7( the carrier of ((TOP-REAL 2) | f),REAL))
the carrier of ((TOP-REAL 2) | f) is set
K7( the carrier of ((TOP-REAL 2) | f),REAL) is Relation-like set
K6(K7( the carrier of ((TOP-REAL 2) | f),REAL)) is set
K377(((TOP-REAL 2) | f),(proj1 | f)) is V11() real ext-real Element of REAL
E-bound f is V11() real ext-real Element of REAL
K378(((TOP-REAL 2) | f),(proj1 | f)) is V11() real ext-real Element of REAL
S-bound f is V11() real ext-real Element of REAL
proj2 | f is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | f), REAL ) V178((TOP-REAL 2) | f) Element of K6(K7( the carrier of ((TOP-REAL 2) | f),REAL))
K377(((TOP-REAL 2) | f),(proj2 | f)) is V11() real ext-real Element of REAL
N-bound f is V11() real ext-real Element of REAL
K378(((TOP-REAL 2) | f),(proj2 | f)) is V11() real ext-real Element of REAL
len (Gauge (f,C)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
width (Gauge (f,C)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
2 |^ C is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(2 |^ C) + 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(f,C) | k is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like special unfolded FinSequence of the carrier of (TOP-REAL 2)
len ((f,C) | k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(f,C) | (k + 1) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like special unfolded FinSequence of the carrier of (TOP-REAL 2)
len ((f,C) | (k + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
left_cell (((f,C) | (k + 1)),i,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell (((f,C) | (k + 1)),i,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
(f,C) /. 1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f,C) /. 2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N-min f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N-most f is non empty compact Element of K6( the carrier of (TOP-REAL 2))
NW-corner f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
|[(W-bound f),(N-bound f)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
NE-corner f is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
|[(E-bound f),(N-bound f)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg ((NW-corner f),(NE-corner f)) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((NW-corner f),(NE-corner f))) /\ f is compact Element of K6( the carrier of (TOP-REAL 2))
(TOP-REAL 2) | (N-most f) is strict compact SubSpace of TOP-REAL 2
proj1 | (N-most f) is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | (N-most f)), REAL ) V178((TOP-REAL 2) | (N-most f)) Element of K6(K7( the carrier of ((TOP-REAL 2) | (N-most f)),REAL))
the carrier of ((TOP-REAL 2) | (N-most f)) is set
K7( the carrier of ((TOP-REAL 2) | (N-most f)),REAL) is Relation-like set
K6(K7( the carrier of ((TOP-REAL 2) | (N-most f)),REAL)) is set
K377(((TOP-REAL 2) | (N-most f)),(proj1 | (N-most f))) is V11() real ext-real Element of REAL
|[K377(((TOP-REAL 2) | (N-most f)),(proj1 | (N-most f))),(N-bound f)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
(width (Gauge (f,C))) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
i + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (f,C)) * (i,(width (Gauge (f,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (f,C)) * ((i + 1),(width (Gauge (f,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (f,C)),i,((width (Gauge (f,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),i) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),((width (Gauge (f,C))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i)) /\ (h_strip ((Gauge (f,C)),((width (Gauge (f,C))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (f,C)) * (i,((width (Gauge (f,C))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
left_cell (((f,C) | (k + 1)),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell (((f,C) | (k + 1)),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
C + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
<*((Gauge (f,C)) * (i,(width (Gauge (f,C))))),((Gauge (f,C)) * ((i + 1),(width (Gauge (f,C)))))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 2 -element FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
((f,C) | (k + 1)) /. 1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((f,C) | (k + 1)) /. 2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
[(i + 1),(len (Gauge (f,C)))] is set
{(i + 1),(len (Gauge (f,C)))} is V26() set
{(i + 1)} is V26() set
{{(i + 1),(len (Gauge (f,C)))},{(i + 1)}} is V26() V30() set
Indices (Gauge (f,C)) is set
[i,(len (Gauge (f,C)))] is set
{i,(len (Gauge (f,C)))} is V26() set
{i} is V26() set
{{i,(len (Gauge (f,C)))},{i}} is V26() V30() set
(i + 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (f,C)),i,(len (Gauge (f,C)))) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),(len (Gauge (f,C)))) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i)) /\ (h_strip ((Gauge (f,C)),(len (Gauge (f,C))))) is Element of K6( the carrier of (TOP-REAL 2))
(N-bound f) - (S-bound f) is V11() real ext-real Element of REAL
(S-bound f) - (S-bound f) is V11() real ext-real Element of REAL
((N-bound f) - (S-bound f)) / (2 |^ C) is V11() real ext-real Element of COMPLEX
(N-bound f) + (((N-bound f) - (S-bound f)) / (2 |^ C)) is V11() real ext-real Element of REAL
(N-bound f) + 0 is V11() real ext-real Element of REAL
i1 is set
j1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 `2 is V11() real ext-real Element of REAL
[1,(len (Gauge (f,C)))] is set
{1,(len (Gauge (f,C)))} is V26() set
{1} is V26() set
{{1,(len (Gauge (f,C)))},{1}} is V26() V30() set
(Gauge (f,C)) * (1,(len (Gauge (f,C)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(E-bound f) - (W-bound f) is V11() real ext-real Element of REAL
((E-bound f) - (W-bound f)) / (2 |^ C) is V11() real ext-real Element of COMPLEX
1 - 2 is V11() real ext-real Element of REAL
(((E-bound f) - (W-bound f)) / (2 |^ C)) * (1 - 2) is V11() real ext-real Element of REAL
(W-bound f) + ((((E-bound f) - (W-bound f)) / (2 |^ C)) * (1 - 2)) is V11() real ext-real Element of REAL
(len (Gauge (f,C))) - 2 is V11() real ext-real Element of REAL
(((N-bound f) - (S-bound f)) / (2 |^ C)) * ((len (Gauge (f,C))) - 2) is V11() real ext-real Element of REAL
(S-bound f) + ((((N-bound f) - (S-bound f)) / (2 |^ C)) * ((len (Gauge (f,C))) - 2)) is V11() real ext-real Element of REAL
|[((W-bound f) + ((((E-bound f) - (W-bound f)) / (2 |^ C)) * (1 - 2))),((S-bound f) + ((((N-bound f) - (S-bound f)) / (2 |^ C)) * ((len (Gauge (f,C))) - 2)))]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (f,C)) * (1,(len (Gauge (f,C))))) `2 is V11() real ext-real Element of REAL
(Gauge (f,C)) * (i,1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (f,C)) * (i,1)) `1 is V11() real ext-real Element of REAL
(Gauge (f,C)) * ((i + 1),1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((Gauge (f,C)) * ((i + 1),1)) `1 is V11() real ext-real Element of REAL
{ |[b1,b2]| where b1, b2 is V11() real ext-real Element of REAL : ( ((Gauge (f,C)) * (i,1)) `1 <= b1 & b1 <= ((Gauge (f,C)) * ((i + 1),1)) `1 & ((Gauge (f,C)) * (1,(len (Gauge (f,C))))) `2 <= b2 ) } is set
i2 is V11() real ext-real Element of REAL
j2 is V11() real ext-real Element of REAL
|[i2,j2]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
(((N-bound f) - (S-bound f)) / (2 |^ C)) * (2 |^ C) is V11() real ext-real Element of REAL
(((N-bound f) - (S-bound f)) / (2 |^ C)) * 1 is V11() real ext-real Element of REAL
((((N-bound f) - (S-bound f)) / (2 |^ C)) * (2 |^ C)) + ((((N-bound f) - (S-bound f)) / (2 |^ C)) * 1) is V11() real ext-real Element of REAL
((N-bound f) - (S-bound f)) + (((N-bound f) - (S-bound f)) / (2 |^ C)) is V11() real ext-real Element of REAL
(len ((f,C) | k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
((len ((f,C) | k)) -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
left_cell (((f,C) | k),((len ((f,C) | k)) -' 1),(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
left_cell ((f,C),((len ((f,C) | k)) -' 1),(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
((len ((f,C) | k)) -' 1) + (1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(len ((f,C) | k)) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
right_cell (((f,C) | k),((len ((f,C) | k)) -' 1),(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((f,C),((len ((f,C) | k)) -' 1),(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
Indices (Gauge (f,C)) is set
(f,C) /. ((len ((f,C) | k)) -' 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(f,C) /. (len ((f,C) | k)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i1,j1] is set
{i1,j1} is V26() set
{i1} is V26() set
{{i1,j1},{i1}} is V26() V30() set
(Gauge (f,C)) * (i1,j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i2,j2] is set
{i2,j2} is V26() set
{i2} is V26() set
{{i2,j2},{i2}} is V26() V30() set
(Gauge (f,C)) * (i2,j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(i2 -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(j2 -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
front_left_cell ((f,C),((len ((f,C) | k)) -' 1),(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((f,C),((len ((f,C) | k)) -' 1),(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
[(i2 + 1),j2] is set
{(i2 + 1),j2} is V26() set
{(i2 + 1)} is V26() set
{{(i2 + 1),j2},{(i2 + 1)}} is V26() V30() set
(f,C) /. ((len ((f,C) | k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (f,C)) * ((i2 + 1),j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (f,C)),i1,j2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),i1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),j2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i1)) /\ (h_strip ((Gauge (f,C)),j2)) is Element of K6( the carrier of (TOP-REAL 2))
left_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (f,C)),i1,j1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),j1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i1)) /\ (h_strip ((Gauge (f,C)),j1)) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
[i2,(j2 -' 1)] is set
{i2,(j2 -' 1)} is V26() set
{{i2,(j2 -' 1)},{i2}} is V26() V30() set
(f,C) /. ((len ((f,C) | k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (f,C)) * (i2,(j2 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (f,C)),i2,(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),i2) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i2)) /\ (h_strip ((Gauge (f,C)),(j2 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
left_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
j1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (f,C)),i1,(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),i1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i1)) /\ (h_strip ((Gauge (f,C)),(j1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
[i2,(j2 + 1)] is set
{i2,(j2 + 1)} is V26() set
{{i2,(j2 + 1)},{i2}} is V26() V30() set
(f,C) /. ((len ((f,C) | k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (f,C)) * (i2,(j2 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (f,C)),(i2 -' 1),j2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),(i2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),j2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),(i2 -' 1))) /\ (h_strip ((Gauge (f,C)),j2)) is Element of K6( the carrier of (TOP-REAL 2))
left_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (f,C)),i2,j2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),i2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i2)) /\ (h_strip ((Gauge (f,C)),j2)) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
[(i2 -' 1),j2] is set
{(i2 -' 1),j2} is V26() set
{(i2 -' 1)} is V26() set
{{(i2 -' 1),j2},{(i2 -' 1)}} is V26() V30() set
(f,C) /. ((len ((f,C) | k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (f,C)) * ((i2 -' 1),j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (f,C)),(i2 -' 1),(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),(i2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),(i2 -' 1))) /\ (h_strip ((Gauge (f,C)),(j2 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
left_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (f,C)),(i2 -' 1),j2) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),j2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),(i2 -' 1))) /\ (h_strip ((Gauge (f,C)),j2)) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
[(i2 + 1),j2] is set
{(i2 + 1),j2} is V26() set
{(i2 + 1)} is V26() set
{{(i2 + 1),j2},{(i2 + 1)}} is V26() V30() set
(f,C) /. ((len ((f,C) | k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (f,C)) * ((i2 + 1),j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
[i2,(j2 -' 1)] is set
{i2,(j2 -' 1)} is V26() set
{{i2,(j2 -' 1)},{i2}} is V26() V30() set
(Gauge (f,C)) * (i2,(j2 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
[i2,(j2 + 1)] is set
{i2,(j2 + 1)} is V26() set
{{i2,(j2 + 1)},{i2}} is V26() V30() set
(Gauge (f,C)) * (i2,(j2 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
[(i2 -' 1),j2] is set
{(i2 -' 1),j2} is V26() set
{(i2 -' 1)} is V26() set
{{(i2 -' 1),j2},{(i2 -' 1)}} is V26() V30() set
(Gauge (f,C)) * ((i2 -' 1),j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
front_left_cell ((f,C),((len ((f,C) | k)) -' 1),(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((f,C),((len ((f,C) | k)) -' 1),(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
[i2,(j2 + 1)] is set
{i2,(j2 + 1)} is V26() set
{{i2,(j2 + 1)},{i2}} is V26() V30() set
(f,C) /. ((len ((f,C) | k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (f,C)) * (i2,(j2 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (f,C)),(i1 -' 1),j2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),(i1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),j2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),(i1 -' 1))) /\ (h_strip ((Gauge (f,C)),j2)) is Element of K6( the carrier of (TOP-REAL 2))
left_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (f,C)),i1,j2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),i1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i1)) /\ (h_strip ((Gauge (f,C)),j2)) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
[(i2 + 1),j2] is set
{(i2 + 1),j2} is V26() set
{(i2 + 1)} is V26() set
{{(i2 + 1),j2},{(i2 + 1)}} is V26() V30() set
(f,C) /. ((len ((f,C) | k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (f,C)) * ((i2 + 1),j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (f,C)),i2,j2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),i2) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),j2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i2)) /\ (h_strip ((Gauge (f,C)),j2)) is Element of K6( the carrier of (TOP-REAL 2))
left_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (f,C)),i2,(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i2)) /\ (h_strip ((Gauge (f,C)),(j2 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
[(i2 -' 1),j2] is set
{(i2 -' 1),j2} is V26() set
{(i2 -' 1)} is V26() set
{{(i2 -' 1),j2},{(i2 -' 1)}} is V26() V30() set
(f,C) /. ((len ((f,C) | k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (f,C)) * ((i2 -' 1),j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (f,C)),(i2 -' 1),(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),(i2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),(i2 -' 1))) /\ (h_strip ((Gauge (f,C)),(j2 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
left_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (f,C)),(i2 -' 1),j2) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),j2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),(i2 -' 1))) /\ (h_strip ((Gauge (f,C)),j2)) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
[i2,(j2 -' 1)] is set
{i2,(j2 -' 1)} is V26() set
{{i2,(j2 -' 1)},{i2}} is V26() V30() set
(f,C) /. ((len ((f,C) | k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (f,C)) * (i2,(j2 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (f,C)),i2,(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),i2) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i2)) /\ (h_strip ((Gauge (f,C)),(j2 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
left_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (f,C)),(i2 -' 1),(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),(i2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),(i2 -' 1))) /\ (h_strip ((Gauge (f,C)),(j2 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
[i2,(j2 + 1)] is set
{i2,(j2 + 1)} is V26() set
{{i2,(j2 + 1)},{i2}} is V26() V30() set
(f,C) /. ((len ((f,C) | k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (f,C)) * (i2,(j2 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
[(i2 + 1),j2] is set
{(i2 + 1),j2} is V26() set
{(i2 + 1)} is V26() set
{{(i2 + 1),j2},{(i2 + 1)}} is V26() V30() set
(Gauge (f,C)) * ((i2 + 1),j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
[(i2 -' 1),j2] is set
{(i2 -' 1),j2} is V26() set
{(i2 -' 1)} is V26() set
{{(i2 -' 1),j2},{(i2 -' 1)}} is V26() V30() set
(Gauge (f,C)) * ((i2 -' 1),j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
[i2,(j2 -' 1)] is set
{i2,(j2 -' 1)} is V26() set
{{i2,(j2 -' 1)},{i2}} is V26() V30() set
(Gauge (f,C)) * (i2,(j2 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
front_left_cell ((f,C),((len ((f,C) | k)) -' 1),(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
[(i2 -' 1),j2] is set
{(i2 -' 1),j2} is V26() set
{(i2 -' 1)} is V26() set
{{(i2 -' 1),j2},{(i2 -' 1)}} is V26() V30() set
(f,C) /. ((len ((f,C) | k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (f,C)) * ((i2 -' 1),j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (f,C)),(i1 -' 1),j1) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),(i1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),j1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),(i1 -' 1))) /\ (h_strip ((Gauge (f,C)),j1)) is Element of K6( the carrier of (TOP-REAL 2))
left_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (f,C)),(i1 -' 1),j2) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),j2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),(i1 -' 1))) /\ (h_strip ((Gauge (f,C)),j2)) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
[i2,(j2 + 1)] is set
{i2,(j2 + 1)} is V26() set
{{i2,(j2 + 1)},{i2}} is V26() V30() set
(f,C) /. ((len ((f,C) | k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (f,C)) * (i2,(j2 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (f,C)),i1,j1) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),i1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),j1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i1)) /\ (h_strip ((Gauge (f,C)),j1)) is Element of K6( the carrier of (TOP-REAL 2))
left_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (f,C)),i2,j2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),i2) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),j2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i2)) /\ (h_strip ((Gauge (f,C)),j2)) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
[i2,(j2 -' 1)] is set
{i2,(j2 -' 1)} is V26() set
{{i2,(j2 -' 1)},{i2}} is V26() V30() set
(f,C) /. ((len ((f,C) | k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (f,C)) * (i2,(j2 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (f,C)),i2,(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),i2) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i2)) /\ (h_strip ((Gauge (f,C)),(j2 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
left_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (f,C)),(i2 -' 1),(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),(i2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),(i2 -' 1))) /\ (h_strip ((Gauge (f,C)),(j2 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
[(i2 + 1),j2] is set
{(i2 + 1),j2} is V26() set
{(i2 + 1)} is V26() set
{{(i2 + 1),j2},{(i2 + 1)}} is V26() V30() set
(f,C) /. ((len ((f,C) | k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (f,C)) * ((i2 + 1),j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (f,C)),i2,j2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),i2) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),j2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i2)) /\ (h_strip ((Gauge (f,C)),j2)) is Element of K6( the carrier of (TOP-REAL 2))
left_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (f,C)),i2,(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i2)) /\ (h_strip ((Gauge (f,C)),(j2 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((f,C),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
[(i2 -' 1),j2] is set
{(i2 -' 1),j2} is V26() set
{(i2 -' 1)} is V26() set
{{(i2 -' 1),j2},{(i2 -' 1)}} is V26() V30() set
(f,C) /. ((len ((f,C) | k)) + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (f,C)) * ((i2 -' 1),j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
[i2,(j2 + 1)] is set
{i2,(j2 + 1)} is V26() set
{{i2,(j2 + 1)},{i2}} is V26() V30() set
(Gauge (f,C)) * (i2,(j2 + 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
[i2,(j2 -' 1)] is set
{i2,(j2 -' 1)} is V26() set
{{i2,(j2 -' 1)},{i2}} is V26() V30() set
(Gauge (f,C)) * (i2,(j2 -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
[(i2 + 1),j2] is set
{(i2 + 1),j2} is V26() set
{(i2 + 1)} is V26() set
{{(i2 + 1),j2},{(i2 + 1)}} is V26() V30() set
(Gauge (f,C)) * ((i2 + 1),j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
front_left_cell ((f,C),((len ((f,C) | k)) -' 1),(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((f,C),((len ((f,C) | k)) -' 1),(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
Indices (Gauge (f,C)) is set
((f,C) | k) /. m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((f,C) | k) /. (m + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i1,j1] is set
{i1,j1} is V26() set
{i1} is V26() set
{{i1,j1},{i1}} is V26() V30() set
(Gauge (f,C)) * (i1,j1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
j2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[i2,j2] is set
{i2,j2} is V26() set
{i2} is V26() set
{{i2,j2},{i2}} is V26() V30() set
(Gauge (f,C)) * (i2,j2) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
j1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
i2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
j2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
left_cell (((f,C) | k),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell (((f,C) | k),m,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
(f,C) /. (k + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
<*((f,C) /. (k + 1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() 1 -element FinSequence-like FinSubsequence-like special FinSequence of the carrier of (TOP-REAL 2)
((f,C) | k) ^ <*((f,C) /. (k + 1))*> is non empty Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like FinSequence of the carrier of (TOP-REAL 2)
dom ((f,C) | k) is V26() Element of K6(NAT)
((f,C) | (k + 1)) /. (m + 1) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
((f,C) | (k + 1)) /. m is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
i1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (f,C)),(i1 -' 1),j1) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),(i1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),j1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),(i1 -' 1))) /\ (h_strip ((Gauge (f,C)),j1)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (f,C)),i1,j1) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),i1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i1)) /\ (h_strip ((Gauge (f,C)),j1)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (f,C)),i1,j1) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),i1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),j1) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i1)) /\ (h_strip ((Gauge (f,C)),j1)) is Element of K6( the carrier of (TOP-REAL 2))
j1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (f,C)),i1,(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),(j1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i1)) /\ (h_strip ((Gauge (f,C)),(j1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
j2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (f,C)),i2,(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),i2) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),(j2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i2)) /\ (h_strip ((Gauge (f,C)),(j2 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (f,C)),i2,j2) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),j2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i2)) /\ (h_strip ((Gauge (f,C)),j2)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (f,C)),i2,j2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),i2) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (f,C)),j2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),i2)) /\ (h_strip ((Gauge (f,C)),j2)) is Element of K6( the carrier of (TOP-REAL 2))
i1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (f,C)),(i1 -' 1),j2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (f,C)),(i1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (f,C)),(i1 -' 1))) /\ (h_strip ((Gauge (f,C)),j2)) is Element of K6( the carrier of (TOP-REAL 2))
(f,C) | (len (f,C)) is Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like V26() FinSequence-like FinSubsequence-like special unfolded FinSequence of the carrier of (TOP-REAL 2)
(f,C) | 0 is empty epsilon-transitive epsilon-connected ordinal T-Sequence-like c=-linear natural V11() real Relation-like non-empty empty-yielding NAT -defined the carrier of (TOP-REAL 2) -valued Function-like one-to-one constant functional V26() V27() V30() FinSequence-like FinSubsequence-like FinSequence-membered ext-real non positive non negative special unfolded FinSequence of the carrier of (TOP-REAL 2)
len ((f,C) | 0) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
left_cell (((f,C) | 0),k,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell (((f,C) | 0),k,(Gauge (f,C))) is Element of K6( the carrier of (TOP-REAL 2))
n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
C is non empty compact non horizontal non vertical Element of K6( the carrier of (TOP-REAL 2))
(C,n) is non empty V2() Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like non constant V26() FinSequence-like FinSubsequence-like V182( the carrier of (TOP-REAL 2)) special unfolded s.c.c. standard clockwise_oriented FinSequence of the carrier of (TOP-REAL 2)
L~ (C,n) is non empty closed compact Element of K6( the carrier of (TOP-REAL 2))
N-min (L~ (C,n)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N-most (L~ (C,n)) is non empty compact Element of K6( the carrier of (TOP-REAL 2))
NW-corner (L~ (C,n)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
W-bound (L~ (C,n)) is V11() real ext-real Element of REAL
(TOP-REAL 2) | (L~ (C,n)) is strict compact SubSpace of TOP-REAL 2
proj1 | (L~ (C,n)) is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | (L~ (C,n))), REAL ) V178((TOP-REAL 2) | (L~ (C,n))) Element of K6(K7( the carrier of ((TOP-REAL 2) | (L~ (C,n))),REAL))
the carrier of ((TOP-REAL 2) | (L~ (C,n))) is set
K7( the carrier of ((TOP-REAL 2) | (L~ (C,n))),REAL) is Relation-like set
K6(K7( the carrier of ((TOP-REAL 2) | (L~ (C,n))),REAL)) is set
K377(((TOP-REAL 2) | (L~ (C,n))),(proj1 | (L~ (C,n)))) is V11() real ext-real Element of REAL
N-bound (L~ (C,n)) is V11() real ext-real Element of REAL
proj2 | (L~ (C,n)) is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | (L~ (C,n))), REAL ) V178((TOP-REAL 2) | (L~ (C,n))) Element of K6(K7( the carrier of ((TOP-REAL 2) | (L~ (C,n))),REAL))
K378(((TOP-REAL 2) | (L~ (C,n))),(proj2 | (L~ (C,n)))) is V11() real ext-real Element of REAL
|[(W-bound (L~ (C,n))),(N-bound (L~ (C,n)))]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
NE-corner (L~ (C,n)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
E-bound (L~ (C,n)) is V11() real ext-real Element of REAL
K378(((TOP-REAL 2) | (L~ (C,n))),(proj1 | (L~ (C,n)))) is V11() real ext-real Element of REAL
|[(E-bound (L~ (C,n))),(N-bound (L~ (C,n)))]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg ((NW-corner (L~ (C,n))),(NE-corner (L~ (C,n)))) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((NW-corner (L~ (C,n))),(NE-corner (L~ (C,n))))) /\ (L~ (C,n)) is compact Element of K6( the carrier of (TOP-REAL 2))
(TOP-REAL 2) | (N-most (L~ (C,n))) is strict compact SubSpace of TOP-REAL 2
proj1 | (N-most (L~ (C,n))) is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | (N-most (L~ (C,n)))), REAL ) V178((TOP-REAL 2) | (N-most (L~ (C,n)))) Element of K6(K7( the carrier of ((TOP-REAL 2) | (N-most (L~ (C,n)))),REAL))
the carrier of ((TOP-REAL 2) | (N-most (L~ (C,n)))) is set
K7( the carrier of ((TOP-REAL 2) | (N-most (L~ (C,n)))),REAL) is Relation-like set
K6(K7( the carrier of ((TOP-REAL 2) | (N-most (L~ (C,n)))),REAL)) is set
K377(((TOP-REAL 2) | (N-most (L~ (C,n)))),(proj1 | (N-most (L~ (C,n))))) is V11() real ext-real Element of REAL
|[K377(((TOP-REAL 2) | (N-most (L~ (C,n)))),(proj1 | (N-most (L~ (C,n))))),(N-bound (L~ (C,n)))]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
(C,n) /. 1 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
len (C,n) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
Gauge (C,n) is Relation-like non empty-yielding NAT -defined the carrier of (TOP-REAL 2) * -valued Function-like V26() FinSequence-like FinSubsequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column FinSequence of the carrier of (TOP-REAL 2) *
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
left_cell ((C,n),G,(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((C,n),G,(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
len (Gauge (C,n)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
width (Gauge (C,n)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(C,n) /. 2 is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N-min C is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
N-most C is non empty compact Element of K6( the carrier of (TOP-REAL 2))
NW-corner C is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
W-bound C is V11() real ext-real Element of REAL
(TOP-REAL 2) | C is strict compact SubSpace of TOP-REAL 2
proj1 | C is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | C), REAL ) V178((TOP-REAL 2) | C) Element of K6(K7( the carrier of ((TOP-REAL 2) | C),REAL))
the carrier of ((TOP-REAL 2) | C) is set
K7( the carrier of ((TOP-REAL 2) | C),REAL) is Relation-like set
K6(K7( the carrier of ((TOP-REAL 2) | C),REAL)) is set
K377(((TOP-REAL 2) | C),(proj1 | C)) is V11() real ext-real Element of REAL
N-bound C is V11() real ext-real Element of REAL
proj2 | C is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | C), REAL ) V178((TOP-REAL 2) | C) Element of K6(K7( the carrier of ((TOP-REAL 2) | C),REAL))
K378(((TOP-REAL 2) | C),(proj2 | C)) is V11() real ext-real Element of REAL
|[(W-bound C),(N-bound C)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
NE-corner C is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
E-bound C is V11() real ext-real Element of REAL
K378(((TOP-REAL 2) | C),(proj1 | C)) is V11() real ext-real Element of REAL
|[(E-bound C),(N-bound C)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
LSeg ((NW-corner C),(NE-corner C)) is closed compact Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((NW-corner C),(NE-corner C))) /\ C is compact Element of K6( the carrier of (TOP-REAL 2))
(TOP-REAL 2) | (N-most C) is strict compact SubSpace of TOP-REAL 2
proj1 | (N-most C) is Relation-like Function-like V40( the carrier of ((TOP-REAL 2) | (N-most C)), REAL ) V178((TOP-REAL 2) | (N-most C)) Element of K6(K7( the carrier of ((TOP-REAL 2) | (N-most C)),REAL))
the carrier of ((TOP-REAL 2) | (N-most C)) is set
K7( the carrier of ((TOP-REAL 2) | (N-most C)),REAL) is Relation-like set
K6(K7( the carrier of ((TOP-REAL 2) | (N-most C)),REAL)) is set
K377(((TOP-REAL 2) | (N-most C)),(proj1 | (N-most C))) is V11() real ext-real Element of REAL
|[K377(((TOP-REAL 2) | (N-most C)),(proj1 | (N-most C))),(N-bound C)]| is non empty Relation-like NAT -defined Function-like V26() 2 -element FinSequence-like FinSubsequence-like V86() Element of the carrier of (TOP-REAL 2)
(width (Gauge (C,n))) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
G + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (C,n)) * (G,(width (Gauge (C,n)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((G + 1),(width (Gauge (C,n)))) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (C,n)),G,((width (Gauge (C,n))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),G) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),((width (Gauge (C,n))) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),G)) /\ (h_strip ((Gauge (C,n)),((width (Gauge (C,n))) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (C,n)) * (G,((width (Gauge (C,n))) -' 1)) is 2 -element FinSequence-like V86() Element of the carrier of (TOP-REAL 2)