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
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
RAT is set
INT is set
K6(K7(REAL,REAL)) is set
TOP-REAL 2 is non empty TopSpace-like V110() V156() V157() V158() V159() V160() V161() V162() strict add-continuous Mult-continuous 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
C is non empty connected bounded V189( TOP-REAL 2) non horizontal non vertical being_simple_closed_curve 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
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) *
X-SpanStart (C,n) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
Y-SpanStart (C,n) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * ((X-SpanStart (C,n)),(Y-SpanStart (C,n))) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(X-SpanStart (C,n)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (((X-SpanStart (C,n)) -' 1),(Y-SpanStart (C,n))) is 2 -element FinSequence-like V136() Element of 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
2 |^ n is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(2 |^ n) + 3 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
<*((Gauge (C,n)) * ((X-SpanStart (C,n)),(Y-SpanStart (C,n))))*> 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)
<*((Gauge (C,n)) * ((X-SpanStart (C,n)),(Y-SpanStart (C,n)))),((Gauge (C,n)) * (((X-SpanStart (C,n)) -' 1),(Y-SpanStart (C,n))))*> 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)
(Gauge (C,n)) * (1,1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (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)
1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
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
[(X-SpanStart (C,n)),(Y-SpanStart (C,n))] is set
{(X-SpanStart (C,n)),(Y-SpanStart (C,n))} is V26() set
{(X-SpanStart (C,n))} is V26() set
{{(X-SpanStart (C,n)),(Y-SpanStart (C,n))},{(X-SpanStart (C,n))}} is V26() V30() set
Indices (Gauge (C,n)) is set
width (Gauge (C,n)) 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 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
left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
k ^ <*((Gauge (C,n)) * (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 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
left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
k ^ <*((Gauge (C,n)) * (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 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
left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
((len k) -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
((len k) -' 1) + (1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(len k) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
dom k is V26() Element of K6(NAT)
k /. ((len k) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
k /. (((len k) -' 1) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
k 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
[k,m] is set
{k,m} is V26() set
{k} is V26() set
{{k,m},{k}} is V26() V30() set
(Gauge (C,n)) * (k,m) is 2 -element FinSequence-like V136() 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 (C,n)) * (f,f) is 2 -element FinSequence-like V136() 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
k + 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
f -' 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
front_right_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (C,n)) * ((f -' 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * ((f -' 1),f))*> 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 (C,n)) * ((f -' 1),f))*> 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)
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)
1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (C,n)),(1 -' 1),m) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),m) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(1 -' 1))) /\ (h_strip ((Gauge (C,n)),m)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),0,m) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),0) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),0)) /\ (h_strip ((Gauge (C,n)),m)) is Element of K6( the carrier of (TOP-REAL 2))
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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
g /. ((len k) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. (((len k) -' 1) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() 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
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(f -' 1),m] is set
{(f -' 1),m} is V26() set
{(f -' 1)} is V26() set
{{(f -' 1),m},{(f -' 1)}} is V26() V30() set
((len k) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
g /. (((len k) -' 1) + 2) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f -' 1),m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 + 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
[f,(m + 1)] is set
{f,(m + 1)} is V26() set
{{f,(m + 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m + 1)) is 2 -element FinSequence-like V136() 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
m -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,(m -' 1)] is set
{f,(m -' 1)} is V26() set
{{f,(m -' 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
[(f + 1),m] is set
{(f + 1),m} is V26() set
{(f + 1)} is V26() set
{{(f + 1),m},{(f + 1)}} is V26() V30() set
(Gauge (C,n)) * ((f + 1),m) is 2 -element FinSequence-like V136() 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 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
k ^ <*((Gauge (C,n)) * (g,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)
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
left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (C,n)) * (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)
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
Lg9 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,Lg9) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,Lg9))*> 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 (C,n)) * (g,Lg9))*> 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 (C,n)) * (f,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,(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)
k ^ <*((Gauge (C,n)) * (f,(f + 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)
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)
(len (Gauge (C,n))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (C,n)),k,(len (Gauge (C,n)))) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),k) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(len (Gauge (C,n)))) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),k)) /\ (h_strip ((Gauge (C,n)),(len (Gauge (C,n))))) is Element of K6( the carrier of (TOP-REAL 2))
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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
g /. ((len k) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. (((len k) -' 1) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() 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
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(f -' 1),m] is set
{(f -' 1),m} is V26() set
{(f -' 1)} is V26() set
{{(f -' 1),m},{(f -' 1)}} is V26() V30() set
((len k) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
g /. (((len k) -' 1) + 2) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f -' 1),m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 + 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
[f,(m + 1)] is set
{f,(m + 1)} is V26() set
{{f,(m + 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m + 1)) is 2 -element FinSequence-like V136() 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
m -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,(m -' 1)] is set
{f,(m -' 1)} is V26() set
{{f,(m -' 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
[(f + 1),m] is set
{(f + 1),m} is V26() set
{(f + 1)} is V26() set
{{(f + 1),m},{(f + 1)}} is V26() V30() set
(Gauge (C,n)) * ((f + 1),m) is 2 -element FinSequence-like V136() 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 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
k ^ <*((Gauge (C,n)) * (g,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)
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
left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (C,n)) * (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)
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
Lg9 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (C,n)) * (g,Lg9) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,Lg9))*> 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 (C,n)) * (g,Lg9))*> 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 (C,n)) * (f,(f -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,(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)
k ^ <*((Gauge (C,n)) * (f,(f -' 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)
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)
1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (C,n)),f,(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),f)) /\ (h_strip ((Gauge (C,n)),(1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),f,0) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),0) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),f)) /\ (h_strip ((Gauge (C,n)),0)) is Element of K6( the carrier of (TOP-REAL 2))
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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
g /. ((len k) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. (((len k) -' 1) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() 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
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(f -' 1),m] is set
{(f -' 1),m} is V26() set
{(f -' 1)} is V26() set
{{(f -' 1),m},{(f -' 1)}} is V26() V30() set
((len k) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
g /. (((len k) -' 1) + 2) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f -' 1),m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 + 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
[f,(m + 1)] is set
{f,(m + 1)} is V26() set
{{f,(m + 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m + 1)) is 2 -element FinSequence-like V136() 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
m -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,(m -' 1)] is set
{f,(m -' 1)} is V26() set
{{f,(m -' 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
[(f + 1),m] is set
{(f + 1),m} is V26() set
{(f + 1)} is V26() set
{{(f + 1),m},{(f + 1)}} is V26() V30() set
(Gauge (C,n)) * ((f + 1),m) is 2 -element FinSequence-like V136() 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 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
k ^ <*((Gauge (C,n)) * (g,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)
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
left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (C,n)) * (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)
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
Lg9 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,Lg9) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,Lg9))*> 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 (C,n)) * (g,Lg9))*> 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 (C,n)) * ((f + 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * ((f + 1),f))*> 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 (C,n)) * ((f + 1),f))*> 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)
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)
(len (Gauge (C,n))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (C,n)),(len (Gauge (C,n))),f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(len (Gauge (C,n)))) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(len (Gauge (C,n))))) /\ (h_strip ((Gauge (C,n)),f)) is Element of K6( the carrier of (TOP-REAL 2))
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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
g /. ((len k) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. (((len k) -' 1) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() 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
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(f -' 1),m] is set
{(f -' 1),m} is V26() set
{(f -' 1)} is V26() set
{{(f -' 1),m},{(f -' 1)}} is V26() V30() set
((len k) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
g /. (((len k) -' 1) + 2) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f -' 1),m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 + 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
[f,(m + 1)] is set
{f,(m + 1)} is V26() set
{{f,(m + 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m + 1)) is 2 -element FinSequence-like V136() 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
m -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,(m -' 1)] is set
{f,(m -' 1)} is V26() set
{{f,(m -' 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
[(f + 1),m] is set
{(f + 1),m} is V26() set
{(f + 1)} is V26() set
{{(f + 1),m},{(f + 1)}} is V26() V30() set
(Gauge (C,n)) * ((f + 1),m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g 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
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
k ^ <*((Gauge (C,n)) * (g,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)
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
left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (C,n)) * (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)
g is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
Lg9 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,Lg9) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,Lg9))*> 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 (C,n)) * (g,Lg9))*> 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_right_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (C,n)) * (f,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,(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)
k ^ <*((Gauge (C,n)) * (f,(f + 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)
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)
(len (Gauge (C,n))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
k -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (C,n)),(k -' 1),(len (Gauge (C,n)))) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(k -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(len (Gauge (C,n)))) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(k -' 1))) /\ (h_strip ((Gauge (C,n)),(len (Gauge (C,n))))) is Element of K6( the carrier of (TOP-REAL 2))
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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
g /. ((len k) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. (((len k) -' 1) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() 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
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[f,(m + 1)] is set
{f,(m + 1)} is V26() set
{{f,(m + 1)},{f}} is V26() V30() set
((len k) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
g /. (((len k) -' 1) + 2) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(m + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 + 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),m] is set
{(f + 1),m} is V26() set
{(f + 1)} is V26() set
{{(f + 1),m},{(f + 1)}} is V26() V30() set
(Gauge (C,n)) * ((f + 1),m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(f -' 1),m] is set
{(f -' 1),m} is V26() set
{(f -' 1)} is V26() set
{{(f -' 1),m},{(f -' 1)}} is V26() V30() set
(Gauge (C,n)) * ((f -' 1),m) is 2 -element FinSequence-like V136() 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
[f,(m -' 1)] is set
{f,(m -' 1)} is V26() set
{{f,(m -' 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m -' 1)) is 2 -element FinSequence-like V136() 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 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
k ^ <*((Gauge (C,n)) * (g,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)
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
left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (C,n)) * (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)
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
Lg9 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (C,n)) * (g,Lg9) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,Lg9))*> 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 (C,n)) * (g,Lg9))*> 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 (C,n)) * ((f + 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * ((f + 1),f))*> 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 (C,n)) * ((f + 1),f))*> 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)
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)
(len (Gauge (C,n))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (C,n)),(len (Gauge (C,n))),m) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(len (Gauge (C,n)))) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),m) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(len (Gauge (C,n))))) /\ (h_strip ((Gauge (C,n)),m)) is Element of K6( the carrier of (TOP-REAL 2))
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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
g /. ((len k) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. (((len k) -' 1) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() 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
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[f,(m + 1)] is set
{f,(m + 1)} is V26() set
{{f,(m + 1)},{f}} is V26() V30() set
((len k) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
g /. (((len k) -' 1) + 2) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(m + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 + 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),m] is set
{(f + 1),m} is V26() set
{(f + 1)} is V26() set
{{(f + 1),m},{(f + 1)}} is V26() V30() set
(Gauge (C,n)) * ((f + 1),m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(f -' 1),m] is set
{(f -' 1),m} is V26() set
{(f -' 1)} is V26() set
{{(f -' 1),m},{(f -' 1)}} is V26() V30() set
(Gauge (C,n)) * ((f -' 1),m) is 2 -element FinSequence-like V136() 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
[f,(m -' 1)] is set
{f,(m -' 1)} is V26() set
{{f,(m -' 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g 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
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
k ^ <*((Gauge (C,n)) * (g,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)
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
left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (C,n)) * (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)
g is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
Lg9 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,Lg9) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,Lg9))*> 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 (C,n)) * (g,Lg9))*> 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 (C,n)) * ((f -' 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * ((f -' 1),f))*> 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 (C,n)) * ((f -' 1),f))*> 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)
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)
1 -' 1 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
cell ((Gauge (C,n)),(1 -' 1),(m -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(m -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(1 -' 1))) /\ (h_strip ((Gauge (C,n)),(m -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),0,(m -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),0) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),0)) /\ (h_strip ((Gauge (C,n)),(m -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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
g /. ((len k) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. (((len k) -' 1) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() 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
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[f,(m + 1)] is set
{f,(m + 1)} is V26() set
{{f,(m + 1)},{f}} is V26() V30() set
((len k) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
g /. (((len k) -' 1) + 2) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(m + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 + 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),m] is set
{(f + 1),m} is V26() set
{(f + 1)} is V26() set
{{(f + 1),m},{(f + 1)}} is V26() V30() set
(Gauge (C,n)) * ((f + 1),m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(f -' 1),m] is set
{(f -' 1),m} is V26() set
{(f -' 1)} is V26() set
{{(f -' 1),m},{(f -' 1)}} is V26() V30() set
(Gauge (C,n)) * ((f -' 1),m) is 2 -element FinSequence-like V136() 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
[f,(m -' 1)] is set
{f,(m -' 1)} is V26() set
{{f,(m -' 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m -' 1)) is 2 -element FinSequence-like V136() 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 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
k ^ <*((Gauge (C,n)) * (g,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)
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
left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (C,n)) * (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)
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
Lg9 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,Lg9) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,Lg9))*> 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 (C,n)) * (g,Lg9))*> 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 (C,n)) * (f,(f -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,(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)
k ^ <*((Gauge (C,n)) * (f,(f -' 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)
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)
1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (C,n)),k,(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),k) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),k)) /\ (h_strip ((Gauge (C,n)),(1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),k,0) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),0) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),k)) /\ (h_strip ((Gauge (C,n)),0)) is Element of K6( the carrier of (TOP-REAL 2))
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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
g /. ((len k) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. (((len k) -' 1) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() 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
m + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[f,(m + 1)] is set
{f,(m + 1)} is V26() set
{{f,(m + 1)},{f}} is V26() V30() set
((len k) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
g /. (((len k) -' 1) + 2) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(m + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 + 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),m] is set
{(f + 1),m} is V26() set
{(f + 1)} is V26() set
{{(f + 1),m},{(f + 1)}} is V26() V30() set
(Gauge (C,n)) * ((f + 1),m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(f -' 1),m] is set
{(f -' 1),m} is V26() set
{(f -' 1)} is V26() set
{{(f -' 1),m},{(f -' 1)}} is V26() V30() set
(Gauge (C,n)) * ((f -' 1),m) is 2 -element FinSequence-like V136() 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
[f,(m -' 1)] is set
{f,(m -' 1)} is V26() set
{{f,(m -' 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m -' 1)) is 2 -element FinSequence-like V136() 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 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
k ^ <*((Gauge (C,n)) * (g,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)
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
left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (C,n)) * (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)
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
Lg9 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,Lg9) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,Lg9))*> 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 (C,n)) * (g,Lg9))*> 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_right_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (C,n)) * ((f + 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * ((f + 1),f))*> 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 (C,n)) * ((f + 1),f))*> 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)
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)
(len (Gauge (C,n))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (C,n)),(len (Gauge (C,n))),f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(len (Gauge (C,n)))) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(len (Gauge (C,n))))) /\ (h_strip ((Gauge (C,n)),f)) is Element of K6( the carrier of (TOP-REAL 2))
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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
g /. ((len k) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. (((len k) -' 1) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() 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
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[(f + 1),m] is set
{(f + 1),m} is V26() set
{(f + 1)} is V26() set
{{(f + 1),m},{(f + 1)}} is V26() V30() set
((len k) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
g /. (((len k) -' 1) + 2) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f + 1),m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 + 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
[f,(m -' 1)] is set
{f,(m -' 1)} is V26() set
{{f,(m -' 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m -' 1)) is 2 -element FinSequence-like V136() 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,(m + 1)] is set
{f,(m + 1)} is V26() set
{{f,(m + 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(f -' 1),m] is set
{(f -' 1),m} is V26() set
{(f -' 1)} is V26() set
{{(f -' 1),m},{(f -' 1)}} is V26() V30() set
(Gauge (C,n)) * ((f -' 1),m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g 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
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
k ^ <*((Gauge (C,n)) * (g,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)
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
left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (C,n)) * (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)
g is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
Lg9 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,Lg9) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,Lg9))*> 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 (C,n)) * (g,Lg9))*> 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 (C,n)) * (f,(f -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,(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)
k ^ <*((Gauge (C,n)) * (f,(f -' 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)
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)
1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (C,n)),f,(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),f)) /\ (h_strip ((Gauge (C,n)),(1 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),f,0) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),0) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),f)) /\ (h_strip ((Gauge (C,n)),0)) is Element of K6( the carrier of (TOP-REAL 2))
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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
g /. ((len k) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. (((len k) -' 1) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() 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
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[(f + 1),m] is set
{(f + 1),m} is V26() set
{(f + 1)} is V26() set
{{(f + 1),m},{(f + 1)}} is V26() V30() set
((len k) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
g /. (((len k) -' 1) + 2) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f + 1),m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 + 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
[f,(m -' 1)] is set
{f,(m -' 1)} is V26() set
{{f,(m -' 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m -' 1)) is 2 -element FinSequence-like V136() 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,(m + 1)] is set
{f,(m + 1)} is V26() set
{{f,(m + 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(f -' 1),m] is set
{(f -' 1),m} is V26() set
{(f -' 1)} is V26() set
{{(f -' 1),m},{(f -' 1)}} is V26() V30() set
(Gauge (C,n)) * ((f -' 1),m) is 2 -element FinSequence-like V136() 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 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
k ^ <*((Gauge (C,n)) * (g,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)
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
left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (C,n)) * (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)
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
Lg9 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,Lg9) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,Lg9))*> 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 (C,n)) * (g,Lg9))*> 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 (C,n)) * (f,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,(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)
k ^ <*((Gauge (C,n)) * (f,(f + 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)
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)
(len (Gauge (C,n))) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
cell ((Gauge (C,n)),(f -' 1),(len (Gauge (C,n)))) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(len (Gauge (C,n)))) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(f -' 1))) /\ (h_strip ((Gauge (C,n)),(len (Gauge (C,n))))) is Element of K6( the carrier of (TOP-REAL 2))
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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
g /. ((len k) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. (((len k) -' 1) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() 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
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[(f + 1),m] is set
{(f + 1),m} is V26() set
{(f + 1)} is V26() set
{{(f + 1),m},{(f + 1)}} is V26() V30() set
((len k) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
g /. (((len k) -' 1) + 2) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f + 1),m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 + 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
[f,(m -' 1)] is set
{f,(m -' 1)} is V26() set
{{f,(m -' 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m -' 1)) is 2 -element FinSequence-like V136() 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,(m + 1)] is set
{f,(m + 1)} is V26() set
{{f,(m + 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(f -' 1),m] is set
{(f -' 1),m} is V26() set
{(f -' 1)} is V26() set
{{(f -' 1),m},{(f -' 1)}} is V26() V30() set
(Gauge (C,n)) * ((f -' 1),m) is 2 -element FinSequence-like V136() 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 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
k ^ <*((Gauge (C,n)) * (g,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)
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
left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (C,n)) * (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)
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
Lg9 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (C,n)) * (g,Lg9) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,Lg9))*> 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 (C,n)) * (g,Lg9))*> 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 (C,n)) * ((f -' 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * ((f -' 1),f))*> 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 (C,n)) * ((f -' 1),f))*> 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)
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)
1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (C,n)),(1 -' 1),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(1 -' 1))) /\ (h_strip ((Gauge (C,n)),(f -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),0,(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),0) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),0)) /\ (h_strip ((Gauge (C,n)),(f -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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
g /. ((len k) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. (((len k) -' 1) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() 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
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[(f + 1),m] is set
{(f + 1),m} is V26() set
{(f + 1)} is V26() set
{{(f + 1),m},{(f + 1)}} is V26() V30() set
((len k) -' 1) + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
g /. (((len k) -' 1) + 2) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f + 1),m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 + 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
[f,(m -' 1)] is set
{f,(m -' 1)} is V26() set
{{f,(m -' 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m -' 1)) is 2 -element FinSequence-like V136() 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,(m + 1)] is set
{f,(m + 1)} is V26() set
{{f,(m + 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(m + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(f -' 1),m] is set
{(f -' 1),m} is V26() set
{(f -' 1)} is V26() set
{{(f -' 1),m},{(f -' 1)}} is V26() V30() set
(Gauge (C,n)) * ((f -' 1),m) is 2 -element FinSequence-like V136() 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 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
k ^ <*((Gauge (C,n)) * (g,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)
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
left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (g,((len g) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
g ^ <*((Gauge (C,n)) * (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)
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
Lg9 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,Lg9) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,Lg9))*> 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 (C,n)) * (g,Lg9))*> 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_right_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( 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
left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
k ^ <*((Gauge (C,n)) * (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 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
left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
k ^ <*((Gauge (C,n)) * (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
left_cell (k,((len k) -' 1),(Gauge (C,n))) 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
(len k) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
k ^ <*((Gauge (C,n)) * (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 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
(len k) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
k ^ <*((Gauge (C,n)) * (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 Function-like set
dom m is set
m . 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)
F is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
m . F is set
F + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
m . (F + 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
left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (k,((len k) -' 1),(Gauge (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
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (k,m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (k,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 (C,n)) * (k,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)
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
(Gauge (C,n)) * (f,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,f))*> 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 (C,n)) * (f,f))*> 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)
g 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 (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
k ^ <*((Gauge (C,n)) * (g,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)
(len k) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
k ^ <*((Gauge (C,n)) * (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
left_cell (k,((len k) -' 1),(Gauge (C,n))) 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 m is set
F is set
k is set
m . 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
F 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
F . 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 (F . 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 . (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 (F . (k + 1)) 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
(len k) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
k ^ <*((Gauge (C,n)) * (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 (F . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
left_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((F . k),((len (F . k)) -' 1),(Gauge (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
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (k,m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (k,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)
(F . k) ^ <*((Gauge (C,n)) * (k,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)
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
(Gauge (C,n)) * (f,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,f))*> 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 . k) ^ <*((Gauge (C,n)) * (f,f))*> 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)
g 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 (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
(len (F . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
left_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
(F . k) ^ <*((Gauge (C,n)) * (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 (F . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
left_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
F . 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 (F . 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
F . 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 (F . 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 . (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 (F . (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
dom (F . (k + 1)) is V26() Element of K6(NAT)
(F . (k + 1)) /. k is 2 -element FinSequence-like V136() Element 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
(F . (k + 1)) /. k is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . (k + 1)) /. (k + 1) is 2 -element FinSequence-like V136() 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
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,f] is set
{m,f} is V26() set
{m} is V26() set
{{m,f},{m}} is V26() V30() set
f 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
[f,g] is set
{f,g} is V26() set
{f} is V26() set
{{f,g},{f}} is V26() V30() set
(Gauge (C,n)) * (m,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,g) is 2 -element FinSequence-like V136() 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
f - g is V11() real ext-real set
abs (f - g) is V11() real ext-real Element of REAL
(abs (m - f)) + (abs (f - g)) 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
right_cell ((F . (k + 1)),k,(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
left_cell ((F . (k + 1)),k,(Gauge (C,n))) 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
(X-SpanStart (C,n)) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(F . (k + 1)) /. 1 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
[((X-SpanStart (C,n)) -' 1),(Y-SpanStart (C,n))] is set
{((X-SpanStart (C,n)) -' 1),(Y-SpanStart (C,n))} is V26() set
{((X-SpanStart (C,n)) -' 1)} is V26() set
{{((X-SpanStart (C,n)) -' 1),(Y-SpanStart (C,n))},{((X-SpanStart (C,n)) -' 1)}} is V26() V30() set
(F . (k + 1)) /. 2 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom (F . (k + 1)) is V26() Element of K6(NAT)
k + 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
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,f] is set
{m,f} is V26() set
{m} is V26() set
{{m,f},{m}} is V26() V30() set
f 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
[f,g] is set
{f,g} is V26() set
{f} is V26() set
{{f,g},{f}} is V26() V30() set
(F . (k + 1)) /. k is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (m,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . (k + 1)) /. (k + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f - g is V11() real ext-real set
abs (f - g) is V11() real ext-real Element of REAL
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
m - f is V11() real ext-real set
abs (m - f) is V11() real ext-real Element of REAL
(abs (m - f)) + (abs (f - g)) 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
(F . (k + 1)) /. k is 2 -element FinSequence-like V136() Element 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
right_cell ((F . (k + 1)),k,(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
left_cell ((F . (k + 1)),k,(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),((X-SpanStart (C,n)) -' 1),(Y-SpanStart (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),((X-SpanStart (C,n)) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(Y-SpanStart (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),((X-SpanStart (C,n)) -' 1))) /\ (h_strip ((Gauge (C,n)),(Y-SpanStart (C,n)))) is Element of K6( the carrier of (TOP-REAL 2))
(Y-SpanStart (C,n)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (C,n)),((X-SpanStart (C,n)) -' 1),((Y-SpanStart (C,n)) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),((Y-SpanStart (C,n)) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),((X-SpanStart (C,n)) -' 1))) /\ (h_strip ((Gauge (C,n)),((Y-SpanStart (C,n)) -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
dom (F . k) is V26() Element of K6(NAT)
(len (F . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
((len (F . k)) -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
((len (F . 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 . k)) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(F . k) /. ((len (F . k)) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . k) /. (len (F . k)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
k 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
[k,m] is set
{k,m} is V26() set
{k} is V26() set
{{k,m},{k}} is V26() V30() set
(Gauge (C,n)) * (k,m) is 2 -element FinSequence-like V136() 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 (C,n)) * (f,f) is 2 -element FinSequence-like V136() 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
k + 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
front_left_cell ((F . k),((len (F . k)) -' 1),(Gauge (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
[(f -' 1),f] is set
{(f -' 1),f} is V26() set
{(f -' 1)} is V26() set
{{(f -' 1),f},{(f -' 1)}} is V26() V30() set
(k + 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
k + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[(f + 1),f] is set
{(f + 1),f} is V26() set
{(f + 1)} is V26() set
{{(f + 1),f},{(f + 1)}} is V26() V30() set
(m + 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive 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
[k,(f + 1)] is set
{k,(f + 1)} is V26() set
{{k,(f + 1)},{k}} is V26() V30() set
front_right_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
[f,(f + 1)] is set
{f,(f + 1)} is V26() set
{{f,(f + 1)},{f}} is V26() V30() set
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,(f -' 1)] is set
{f,(f -' 1)} is V26() set
{{f,(f -' 1)},{f}} is V26() V30() set
left_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
k -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[(k -' 1),(m + 1)] is set
{(k -' 1),(m + 1)} is V26() set
{(k -' 1)} is V26() set
{{(k -' 1),(m + 1)},{(k -' 1)}} is V26() V30() set
[(k + 1),f] is set
{(k + 1),f} is V26() set
{(k + 1)} is V26() set
{{(k + 1),f},{(k + 1)}} is V26() V30() set
m -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,(m -' 1)] is set
{f,(m -' 1)} is V26() set
{{f,(m -' 1)},{f}} is V26() V30() set
[(k + 1),(m + 1)] is set
{(k + 1),(m + 1)} is V26() set
{{(k + 1),(m + 1)},{(k + 1)}} is V26() V30() set
g 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 (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
((F . k) ^ <*((Gauge (C,n)) * (g,g))*>) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
((F . k) ^ <*((Gauge (C,n)) * (g,g))*>) /. (len (F . k)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
((F . k) ^ <*((Gauge (C,n)) * (g,g))*>) /. ((len (F . k)) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f -' 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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 (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 - f is V11() real ext-real set
f - 1 is V11() real ext-real Element of REAL
f - (f - 1) is V11() real ext-real Element of REAL
abs (Lg9 - 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
f - Lg9 is V11() real ext-real set
abs (f - Lg9) is V11() real ext-real Element of REAL
(abs (f - Lg9)) + (abs (m - f)) is V11() real ext-real Element of REAL
(Gauge (C,n)) * (f,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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 (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f - Lg9 is V11() real ext-real set
abs (f - Lg9) 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 (f - Lg9)) + (abs (m - f)) is V11() real ext-real Element of REAL
(Gauge (C,n)) * (f,(f -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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 (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f - m is V11() real ext-real set
f - 1 is V11() real ext-real Element of REAL
f - (f - 1) is V11() real ext-real Element of REAL
abs (f - m) is V11() real ext-real Element of REAL
f - Lg9 is V11() real ext-real set
abs (f - Lg9) 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 (f - Lg9)) + (abs (m - f)) is V11() real ext-real Element of REAL
(Gauge (C,n)) * ((f + 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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 (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() 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
f - Lg9 is V11() real ext-real set
abs (f - Lg9) is V11() real ext-real Element of REAL
(abs (f - Lg9)) + (abs (m - f)) is V11() real ext-real Element of REAL
(Gauge (C,n)) * ((f -' 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(f -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f + 1),f) is 2 -element FinSequence-like V136() 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 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
((F . k) ^ <*((Gauge (C,n)) * (g,g))*>) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
((F . k) ^ <*((Gauge (C,n)) * (g,g))*>) /. (len (F . k)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
((F . k) ^ <*((Gauge (C,n)) * (g,g))*>) /. ((len (F . k)) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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 (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f - Lg9 is V11() real ext-real set
abs (f - Lg9) 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 (f - Lg9)) + (abs (m - f)) is V11() real ext-real Element of REAL
(Gauge (C,n)) * ((f + 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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 (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() 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
f - Lg9 is V11() real ext-real set
abs (f - Lg9) is V11() real ext-real Element of REAL
(abs (f - Lg9)) + (abs (m - f)) is V11() real ext-real Element of REAL
(Gauge (C,n)) * ((f -' 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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 (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 - f is V11() real ext-real set
f - 1 is V11() real ext-real Element of REAL
f - (f - 1) is V11() real ext-real Element of REAL
abs (Lg9 - 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
f - Lg9 is V11() real ext-real set
abs (f - Lg9) is V11() real ext-real Element of REAL
(abs (f - Lg9)) + (abs (m - f)) is V11() real ext-real Element of REAL
(Gauge (C,n)) * (f,(f -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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 (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f - m is V11() real ext-real set
f - 1 is V11() real ext-real Element of REAL
f - (f - 1) is V11() real ext-real Element of REAL
abs (f - m) is V11() real ext-real Element of REAL
f - Lg9 is V11() real ext-real set
abs (f - Lg9) 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 (f - Lg9)) + (abs (m - f)) is V11() real ext-real Element of REAL
(Gauge (C,n)) * (f,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f + 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f -' 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(f -' 1)) is 2 -element FinSequence-like V136() 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 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
((F . k) ^ <*((Gauge (C,n)) * (g,g))*>) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
((F . k) ^ <*((Gauge (C,n)) * (g,g))*>) /. (len (F . k)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
((F . k) ^ <*((Gauge (C,n)) * (g,g))*>) /. ((len (F . k)) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f + 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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 (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() 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
f - Lg9 is V11() real ext-real set
abs (f - Lg9) is V11() real ext-real Element of REAL
(abs (f - Lg9)) + (abs (m - f)) is V11() real ext-real Element of REAL
(Gauge (C,n)) * (f,(f -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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 (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f - m is V11() real ext-real set
f - 1 is V11() real ext-real Element of REAL
f - (f - 1) is V11() real ext-real Element of REAL
abs (f - m) is V11() real ext-real Element of REAL
f - Lg9 is V11() real ext-real set
abs (f - Lg9) 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 (f - Lg9)) + (abs (m - f)) is V11() real ext-real Element of REAL
(Gauge (C,n)) * (f,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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 (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f - Lg9 is V11() real ext-real set
abs (f - Lg9) 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 (f - Lg9)) + (abs (m - f)) is V11() real ext-real Element of REAL
(Gauge (C,n)) * ((f -' 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
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 (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 - f is V11() real ext-real set
f - 1 is V11() real ext-real Element of REAL
f - (f - 1) is V11() real ext-real Element of REAL
abs (Lg9 - 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
f - Lg9 is V11() real ext-real set
abs (f - Lg9) is V11() real ext-real Element of REAL
(abs (f - Lg9)) + (abs (m - f)) is V11() real ext-real Element of REAL
(Gauge (C,n)) * ((f + 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(f -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f -' 1),f) is 2 -element FinSequence-like V136() 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
right_cell ((F . (k + 1)),g,(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
left_cell ((F . (k + 1)),g,(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
right_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
(f -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(f -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(F . (k + 1)) /. (len (F . k)) is 2 -element FinSequence-like V136() 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 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
(F . (k + 1)) /. ((len (F . k)) -' 1) is 2 -element FinSequence-like V136() 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 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
(F . (k + 1)) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f -' 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (C,n)),(k -' 1),f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(k -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(k -' 1))) /\ (h_strip ((Gauge (C,n)),f)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),(k -' 1),m) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),m) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(k -' 1))) /\ (h_strip ((Gauge (C,n)),m)) is Element of K6( the carrier of (TOP-REAL 2))
(F . (k + 1)) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (C,n)),f,f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),f)) /\ (h_strip ((Gauge (C,n)),f)) is Element of K6( the carrier of (TOP-REAL 2))
(k + 1) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (C,n)),k,m) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),k) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),m) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),k)) /\ (h_strip ((Gauge (C,n)),m)) is Element of K6( the carrier of (TOP-REAL 2))
(F . (k + 1)) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(f -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (C,n)),(f -' 1),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(f -' 1))) /\ (h_strip ((Gauge (C,n)),(f -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),f,(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),f)) /\ (h_strip ((Gauge (C,n)),(f -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(F . (k + 1)) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f + 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (C,n)),f,(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),f)) /\ (h_strip ((Gauge (C,n)),(f -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),f,f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),f)) /\ (h_strip ((Gauge (C,n)),f)) is Element of K6( the carrier of (TOP-REAL 2))
(F . (k + 1)) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f -' 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(f -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f + 1),f) is 2 -element FinSequence-like V136() 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 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
(F . (k + 1)) /. (len (F . k)) is 2 -element FinSequence-like V136() 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 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
(F . (k + 1)) /. ((len (F . k)) -' 1) is 2 -element FinSequence-like V136() 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 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
(F . (k + 1)) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (C,n)),k,f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),k) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),k)) /\ (h_strip ((Gauge (C,n)),f)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),(k -' 1),f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(k -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(k -' 1))) /\ (h_strip ((Gauge (C,n)),f)) is Element of K6( the carrier of (TOP-REAL 2))
(F . (k + 1)) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f + 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (C,n)),f,(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),f)) /\ (h_strip ((Gauge (C,n)),(f -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),f,f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),f)) /\ (h_strip ((Gauge (C,n)),f)) is Element of K6( the carrier of (TOP-REAL 2))
(F . (k + 1)) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f -' 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (C,n)),(f -' 1),f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(f -' 1))) /\ (h_strip ((Gauge (C,n)),f)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),(f -' 1),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(f -' 1))) /\ (h_strip ((Gauge (C,n)),(f -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(F . (k + 1)) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(f -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (C,n)),(f -' 1),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(f -' 1))) /\ (h_strip ((Gauge (C,n)),(f -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),f,(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),f)) /\ (h_strip ((Gauge (C,n)),(f -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(F . (k + 1)) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f + 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f -' 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(f -' 1)) is 2 -element FinSequence-like V136() 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 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
(F . (k + 1)) /. (len (F . k)) is 2 -element FinSequence-like V136() 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 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
(F . (k + 1)) /. ((len (F . k)) -' 1) is 2 -element FinSequence-like V136() 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 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
(F . (k + 1)) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f + 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (C,n)),k,m) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),k) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),m) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),k)) /\ (h_strip ((Gauge (C,n)),m)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),f,f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),f)) /\ (h_strip ((Gauge (C,n)),f)) is Element of K6( the carrier of (TOP-REAL 2))
(F . (k + 1)) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(f -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (C,n)),k,(m -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),k) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(m -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),k)) /\ (h_strip ((Gauge (C,n)),(m -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),f,(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),f)) /\ (h_strip ((Gauge (C,n)),(f -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(F . (k + 1)) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (C,n)),f,f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),f)) /\ (h_strip ((Gauge (C,n)),f)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),(f -' 1),f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(f -' 1))) /\ (h_strip ((Gauge (C,n)),f)) is Element of K6( the carrier of (TOP-REAL 2))
(F . (k + 1)) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f -' 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (C,n)),(f -' 1),f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(f -' 1))) /\ (h_strip ((Gauge (C,n)),f)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),(f -' 1),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(f -' 1))) /\ (h_strip ((Gauge (C,n)),(f -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(F . (k + 1)) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f + 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(f -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * ((f -' 1),f) is 2 -element FinSequence-like V136() 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 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
(F . k) /. g is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . k) /. (g + 1) is 2 -element FinSequence-like V136() 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 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[g,g] is set
{g,g} is V26() set
{g} is V26() set
{{g,g},{g}} is V26() V30() set
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 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
[Lg9,f] is set
{Lg9,f} is V26() set
{Lg9} is V26() set
{{Lg9,f},{Lg9}} is V26() V30() set
(Gauge (C,n)) * (Lg9,f) is 2 -element FinSequence-like V136() 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
g + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
Lg9 + 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
right_cell ((F . k),g,(Gauge (C,n))) 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
m is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,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)
(F . k) ^ <*((Gauge (C,n)) * (f,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)
B is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
q is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (B,q) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (B,q))*> 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 . k) ^ <*((Gauge (C,n)) * (B,q))*> 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
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,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)
(F . k) ^ <*((Gauge (C,n)) * (f,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)
B is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
q is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (B,q) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (B,q))*> 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 . k) ^ <*((Gauge (C,n)) * (B,q))*> 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
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,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)
(F . k) ^ <*((Gauge (C,n)) * (f,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)
B is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
q is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (B,q) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (B,q))*> 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 . k) ^ <*((Gauge (C,n)) * (B,q))*> 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 . (k + 1)) /. (g + 1) is 2 -element FinSequence-like V136() 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
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,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)
(F . k) ^ <*((Gauge (C,n)) * (f,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)
left_cell ((F . k),g,(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
(F . (k + 1)) /. g is 2 -element FinSequence-like V136() 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
(Gauge (C,n)) * (f,m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,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)
(F . k) ^ <*((Gauge (C,n)) * (f,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)
cell ((Gauge (C,n)),g,g) 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)),g) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),g)) /\ (h_strip ((Gauge (C,n)),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 (C,n)),(g -' 1),g) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(g -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(g -' 1))) /\ (h_strip ((Gauge (C,n)),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 (C,n)),g,(g -' 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)),(g -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),g)) /\ (h_strip ((Gauge (C,n)),(g -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),g,g) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),g) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),g)) /\ (h_strip ((Gauge (C,n)),g)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),Lg9,f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),Lg9) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),Lg9)) /\ (h_strip ((Gauge (C,n)),f)) 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 (C,n)),Lg9,(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),Lg9)) /\ (h_strip ((Gauge (C,n)),(f -' 1))) 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 (C,n)),(g -' 1),f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(g -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(g -' 1))) /\ (h_strip ((Gauge (C,n)),f)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),Lg9,f) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),Lg9) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),Lg9)) /\ (h_strip ((Gauge (C,n)),f)) is Element of K6( the carrier of (TOP-REAL 2))
dom (F . 0) is V26() Element of K6(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
k 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
[k,m] is set
{k,m} is V26() set
{k} is V26() set
{{k,m},{k}} is V26() V30() set
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
(F . 0) /. k is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (k,m) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . 0) /. (k + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Gauge (C,n)) * (f,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
k - f is V11() real ext-real set
abs (k - 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 (k - f)) + (abs (m - f)) 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
(F . 0) /. k is 2 -element FinSequence-like V136() Element 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
right_cell ((F . 0),k,(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
left_cell ((F . 0),k,(Gauge (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
F . 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 (F . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len (F . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(F . k) /. ((len (F . k)) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . k) /. (len (F . k)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
front_right_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) 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
F . (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)
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
m 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
m + 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
[k,f] is set
{k,f} is V26() set
{k} is V26() set
{{k,f},{k}} is V26() V30() set
(Gauge (C,n)) * (k,f) is 2 -element FinSequence-like V136() 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
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,f] is set
{m,f} is V26() set
{m} is V26() set
{{m,f},{m}} is V26() V30() set
(Gauge (C,n)) * (m,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
[(m -' 1),f] is set
{(m -' 1),f} is V26() set
{(m -' 1)} is V26() set
{{(m -' 1),f},{(m -' 1)}} is V26() V30() set
(Gauge (C,n)) * ((m -' 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * ((m -' 1),f))*> 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 . k) ^ <*((Gauge (C,n)) * ((m -' 1),f))*> 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 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[m,(f + 1)] is set
{m,(f + 1)} is V26() set
{{m,(f + 1)},{m}} is V26() V30() set
(Gauge (C,n)) * (m,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (m,(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)
(F . k) ^ <*((Gauge (C,n)) * (m,(f + 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)
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,(f -' 1)] is set
{m,(f -' 1)} is V26() set
{{m,(f -' 1)},{m}} is V26() V30() set
(Gauge (C,n)) * (m,(f -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (m,(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)
(F . k) ^ <*((Gauge (C,n)) * (m,(f -' 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),f] is set
{(m + 1),f} is V26() set
{(m + 1)} is V26() set
{{(m + 1),f},{(m + 1)}} is V26() V30() set
(Gauge (C,n)) * ((m + 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * ((m + 1),f))*> 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 . k) ^ <*((Gauge (C,n)) * ((m + 1),f))*> 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 . k) is V26() Element of K6(NAT)
((len (F . k)) -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
((len (F . 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 . k)) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
left_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
g 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 (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
(F . (k + 1)) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . (k + 1)) /. (len (F . k)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . (k + 1)) /. ((len (F . k)) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(F . 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)
F . 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)
0 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
F . (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)
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
left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
k ^ <*((Gauge (C,n)) * (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
F . 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 (F . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len (F . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(F . k) /. ((len (F . k)) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . k) /. (len (F . k)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
front_right_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) 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
F . (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)
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
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
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[k,f] is set
{k,f} is V26() set
{k} is V26() set
{{k,f},{k}} is V26() V30() set
(Gauge (C,n)) * (k,f) is 2 -element FinSequence-like V136() 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
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,f] is set
{m,f} is V26() set
{m} is V26() set
{{m,f},{m}} is V26() V30() set
(Gauge (C,n)) * (m,f) is 2 -element FinSequence-like V136() 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
[m,(f + 1)] is set
{m,(f + 1)} is V26() set
{{m,(f + 1)},{m}} is V26() V30() set
(Gauge (C,n)) * (m,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (m,(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)
(F . k) ^ <*((Gauge (C,n)) * (m,(f + 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),f] is set
{(m + 1),f} is V26() set
{(m + 1)} is V26() set
{{(m + 1),f},{(m + 1)}} is V26() V30() set
(Gauge (C,n)) * ((m + 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * ((m + 1),f))*> 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 . k) ^ <*((Gauge (C,n)) * ((m + 1),f))*> 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),f] is set
{(m -' 1),f} is V26() set
{(m -' 1)} is V26() set
{{(m -' 1),f},{(m -' 1)}} is V26() V30() set
(Gauge (C,n)) * ((m -' 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * ((m -' 1),f))*> 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 . k) ^ <*((Gauge (C,n)) * ((m -' 1),f))*> 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 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,(f -' 1)] is set
{m,(f -' 1)} is V26() set
{{m,(f -' 1)},{m}} is V26() V30() set
(Gauge (C,n)) * (m,(f -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (m,(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)
(F . k) ^ <*((Gauge (C,n)) * (m,(f -' 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 . k) is V26() Element of K6(NAT)
((len (F . k)) -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
((len (F . 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 . k)) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
left_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
g 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 (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
(F . (k + 1)) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . (k + 1)) /. (len (F . k)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . (k + 1)) /. ((len (F . k)) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
F . 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 (F . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len (F . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(F . k) /. ((len (F . k)) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . k) /. (len (F . k)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
front_right_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) 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
F . (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)
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
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
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[k,f] is set
{k,f} is V26() set
{k} is V26() set
{{k,f},{k}} is V26() V30() set
(Gauge (C,n)) * (k,f) is 2 -element FinSequence-like V136() 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
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,f] is set
{m,f} is V26() set
{m} is V26() set
{{m,f},{m}} is V26() V30() set
(Gauge (C,n)) * (m,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
[(m + 1),f] is set
{(m + 1),f} is V26() set
{(m + 1)} is V26() set
{{(m + 1),f},{(m + 1)}} is V26() V30() set
(Gauge (C,n)) * ((m + 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * ((m + 1),f))*> 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 . k) ^ <*((Gauge (C,n)) * ((m + 1),f))*> 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 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,(f -' 1)] is set
{m,(f -' 1)} is V26() set
{{m,(f -' 1)},{m}} is V26() V30() set
(Gauge (C,n)) * (m,(f -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (m,(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)
(F . k) ^ <*((Gauge (C,n)) * (m,(f -' 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)
f + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
[m,(f + 1)] is set
{m,(f + 1)} is V26() set
{{m,(f + 1)},{m}} is V26() V30() set
(Gauge (C,n)) * (m,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (m,(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)
(F . k) ^ <*((Gauge (C,n)) * (m,(f + 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),f] is set
{(m -' 1),f} is V26() set
{(m -' 1)} is V26() set
{{(m -' 1),f},{(m -' 1)}} is V26() V30() set
(Gauge (C,n)) * ((m -' 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * ((m -' 1),f))*> 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 . k) ^ <*((Gauge (C,n)) * ((m -' 1),f))*> 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 (F . k)) -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
((len (F . 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 . k)) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
left_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
g 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 (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
dom (F . k) is V26() Element of K6(NAT)
(F . (k + 1)) /. (len (F . k)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . (k + 1)) /. ((len (F . k)) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . (k + 1)) /. ((len (F . k)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
F . 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_right_cell ((F . k),(k -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((F . k),(k -' 1),(Gauge (C,n))) 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
F . (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 (F . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len (F . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
((len (F . k)) -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(F . k) /. ((len (F . k)) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . k) /. (len (F . k)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
k 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
[k,m] is set
{k,m} is V26() set
{k} is V26() set
{{k,m},{k}} is V26() V30() set
(Gauge (C,n)) * (k,m) is 2 -element FinSequence-like V136() 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 (C,n)) * (f,f) is 2 -element FinSequence-like V136() 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
k + 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
F . 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 . (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)
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
left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (k,((len k) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
k ^ <*((Gauge (C,n)) * (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
F . (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)
F . 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 (F . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(F . k) ^ <*((Gauge (C,n)) * ((X-SpanStart (C,n)),(Y-SpanStart (C,n))))*> 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)
[((X-SpanStart (C,n)) -' 1),(Y-SpanStart (C,n))] is set
{((X-SpanStart (C,n)) -' 1),(Y-SpanStart (C,n))} is V26() set
{((X-SpanStart (C,n)) -' 1)} is V26() set
{{((X-SpanStart (C,n)) -' 1),(Y-SpanStart (C,n))},{((X-SpanStart (C,n)) -' 1)}} is V26() V30() set
<*((Gauge (C,n)) * (((X-SpanStart (C,n)) -' 1),(Y-SpanStart (C,n))))*> 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 . k) ^ <*((Gauge (C,n)) * (((X-SpanStart (C,n)) -' 1),(Y-SpanStart (C,n))))*> 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 (F . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
((len (F . k)) -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(F . k) /. ((len (F . k)) -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . k) /. (len (F . k)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
k 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
[k,m] is set
{k,m} is V26() set
{k} is V26() set
{{k,m},{k}} is V26() V30() set
(Gauge (C,n)) * (k,m) is 2 -element FinSequence-like V136() 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 (C,n)) * (f,f) is 2 -element FinSequence-like V136() 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
k + 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
front_right_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((F . k),((len (F . k)) -' 1),(Gauge (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
(Gauge (C,n)) * ((f -' 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * ((f -' 1),f))*> 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 . k) ^ <*((Gauge (C,n)) * ((f -' 1),f))*> 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 -' 1),f] is set
{(f -' 1),f} is V26() set
{(f -' 1)} is V26() set
{{(f -' 1),f},{(f -' 1)}} is V26() V30() set
(Gauge (C,n)) * (f,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,(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)
(F . k) ^ <*((Gauge (C,n)) * (f,(f + 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)
[f,(f + 1)] is set
{f,(f + 1)} is V26() set
{{f,(f + 1)},{f}} is V26() V30() set
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (f,(f -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,(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)
(F . k) ^ <*((Gauge (C,n)) * (f,(f -' 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)
[f,(f -' 1)] is set
{f,(f -' 1)} is V26() set
{{f,(f -' 1)},{f}} is V26() V30() set
(Gauge (C,n)) * ((f + 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * ((f + 1),f))*> 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 . k) ^ <*((Gauge (C,n)) * ((f + 1),f))*> 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 + 1),f] is set
{(f + 1),f} is V26() set
{(f + 1)} is V26() set
{{(f + 1),f},{(f + 1)}} is V26() V30() set
g 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,g] is set
{g,g} is V26() set
{g} is V26() set
{{g,g},{g}} is V26() V30() set
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
front_right_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (C,n)) * (f,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,(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)
(F . k) ^ <*((Gauge (C,n)) * (f,(f + 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)
[f,(f + 1)] is set
{f,(f + 1)} is V26() set
{{f,(f + 1)},{f}} is V26() V30() set
(Gauge (C,n)) * ((f + 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * ((f + 1),f))*> 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 . k) ^ <*((Gauge (C,n)) * ((f + 1),f))*> 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 + 1),f] is set
{(f + 1),f} is V26() set
{(f + 1)} is V26() set
{{(f + 1),f},{(f + 1)}} is V26() V30() set
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * ((f -' 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * ((f -' 1),f))*> 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 . k) ^ <*((Gauge (C,n)) * ((f -' 1),f))*> 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 -' 1),f] is set
{(f -' 1),f} is V26() set
{(f -' 1)} is V26() set
{{(f -' 1),f},{(f -' 1)}} is V26() V30() set
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (f,(f -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,(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)
(F . k) ^ <*((Gauge (C,n)) * (f,(f -' 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)
[f,(f -' 1)] is set
{f,(f -' 1)} is V26() set
{{f,(f -' 1)},{f}} is V26() V30() set
g 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,g] is set
{g,g} is V26() set
{g} is V26() set
{{g,g},{g}} is V26() V30() set
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
front_right_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
(Gauge (C,n)) * ((f + 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * ((f + 1),f))*> 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 . k) ^ <*((Gauge (C,n)) * ((f + 1),f))*> 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 + 1),f] is set
{(f + 1),f} is V26() set
{(f + 1)} is V26() set
{{(f + 1),f},{(f + 1)}} is V26() V30() set
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * (f,(f -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,(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)
(F . k) ^ <*((Gauge (C,n)) * (f,(f -' 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)
[f,(f -' 1)] is set
{f,(f -' 1)} is V26() set
{{f,(f -' 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(f + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,(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)
(F . k) ^ <*((Gauge (C,n)) * (f,(f + 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)
[f,(f + 1)] is set
{f,(f + 1)} is V26() set
{{f,(f + 1)},{f}} is V26() V30() set
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(Gauge (C,n)) * ((f -' 1),f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * ((f -' 1),f))*> 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 . k) ^ <*((Gauge (C,n)) * ((f -' 1),f))*> 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 -' 1),f] is set
{(f -' 1),f} is V26() set
{(f -' 1)} is V26() set
{{(f -' 1),f},{(f -' 1)}} is V26() V30() set
g 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,g] is set
{g,g} is V26() set
{g} is V26() set
{{g,g},{g}} is V26() V30() set
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
front_right_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
g 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,g] is set
{g,g} is V26() set
{g} is V26() set
{{g,g},{g}} is V26() V30() set
(Gauge (C,n)) * (g,g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (g,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)
(F . k) ^ <*((Gauge (C,n)) * (g,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)
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
F . 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
F . (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)
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(F . (k + 1)) | 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)
F . 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 (F . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(F . k) | 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)
m 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
[m,f] is set
{m,f} is V26() set
{m} is V26() set
{{m,f},{m}} is V26() V30() set
(Gauge (C,n)) * (m,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (m,f))*> 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 . k) ^ <*((Gauge (C,n)) * (m,f))*> 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 (F . (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
F . 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)
(F . k) /. k is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
F . 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)
(F . k) /. k is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
len (F . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(F . k) | 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 ((F . k) | k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom ((F . k) | k) is V26() Element of K6(NAT)
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
F . 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
F . (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 (F . (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 (F . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(F . k) /. (k -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . k) /. (len (F . k)) is 2 -element FinSequence-like V136() 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
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,f] is set
{m,f} is V26() set
{m} is V26() set
{{m,f},{m}} is V26() V30() set
(Gauge (C,n)) * (m,f) is 2 -element FinSequence-like V136() 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
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[f,g] is set
{f,g} is V26() set
{f} is V26() set
{{f,g},{f}} is V26() V30() set
(Gauge (C,n)) * (f,g) is 2 -element FinSequence-like V136() 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
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
g + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
LSeg ((F . k),(k -' 1)) is closed Element of K6( the carrier of (TOP-REAL 2))
LSeg (((Gauge (C,n)) * (m,f)),((Gauge (C,n)) * (f,g))) is closed closed boundary connected bounded bounded V189( TOP-REAL 2) V189( TOP-REAL 2) 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
(g -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(f -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(len (F . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
front_right_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
[(f -' 1),g] is set
{(f -' 1),g} is V26() set
{(f -' 1)} is V26() set
{{(f -' 1),g},{(f -' 1)}} is V26() V30() set
(Gauge (C,n)) * ((f -' 1),g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * ((f -' 1),g))) is closed closed boundary connected bounded bounded V189( TOP-REAL 2) V189( TOP-REAL 2) Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((F . k),(k -' 1))) /\ (LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * ((f -' 1),g)))) is Element of K6( the carrier of (TOP-REAL 2))
{((F . k) /. (len (F . k)))} is V26() set
<*((Gauge (C,n)) * ((f -' 1),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)
(F . k) ^ <*((Gauge (C,n)) * ((f -' 1),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)
[f,(g + 1)] is set
{f,(g + 1)} is V26() set
{{f,(g + 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(g + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * (f,(g + 1)))) is closed closed boundary connected bounded bounded V189( TOP-REAL 2) V189( TOP-REAL 2) Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((F . k),(k -' 1))) /\ (LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * (f,(g + 1))))) is Element of K6( the carrier of (TOP-REAL 2))
{((F . k) /. (len (F . k)))} is V26() set
<*((Gauge (C,n)) * (f,(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)
(F . k) ^ <*((Gauge (C,n)) * (f,(g + 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)
[f,(g -' 1)] is set
{f,(g -' 1)} is V26() set
{{f,(g -' 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(g -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * (f,(g -' 1)))) is closed closed boundary connected bounded bounded V189( TOP-REAL 2) V189( TOP-REAL 2) Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((F . k),(k -' 1))) /\ (LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * (f,(g -' 1))))) is Element of K6( the carrier of (TOP-REAL 2))
{((F . k) /. (len (F . k)))} is V26() set
<*((Gauge (C,n)) * (f,(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)
(F . k) ^ <*((Gauge (C,n)) * (f,(g -' 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)
[(f + 1),g] is set
{(f + 1),g} is V26() set
{(f + 1)} is V26() set
{{(f + 1),g},{(f + 1)}} is V26() V30() set
(Gauge (C,n)) * ((f + 1),g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * ((f + 1),g))) is closed closed boundary connected bounded bounded V189( TOP-REAL 2) V189( TOP-REAL 2) Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((F . k),(k -' 1))) /\ (LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * ((f + 1),g)))) is Element of K6( the carrier of (TOP-REAL 2))
{((F . k) /. (len (F . k)))} is V26() set
<*((Gauge (C,n)) * ((f + 1),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)
(F . k) ^ <*((Gauge (C,n)) * ((f + 1),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)
(len (F . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
front_right_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
[f,(g + 1)] is set
{f,(g + 1)} is V26() set
{{f,(g + 1)},{f}} is V26() V30() set
f + (1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (C,n)) * (f,(g + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * (f,(g + 1)))) is closed closed boundary connected bounded bounded V189( TOP-REAL 2) V189( TOP-REAL 2) Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((F . k),(k -' 1))) /\ (LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * (f,(g + 1))))) is Element of K6( the carrier of (TOP-REAL 2))
{((F . k) /. (len (F . k)))} is V26() set
<*((Gauge (C,n)) * (f,(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)
(F . k) ^ <*((Gauge (C,n)) * (f,(g + 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)
[(f + 1),g] is set
{(f + 1),g} is V26() set
{(f + 1)} is V26() set
{{(f + 1),g},{(f + 1)}} is V26() V30() set
m + (1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (C,n)) * ((f + 1),g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * ((f + 1),g))) is closed closed boundary connected bounded bounded V189( TOP-REAL 2) V189( TOP-REAL 2) Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((F . k),(k -' 1))) /\ (LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * ((f + 1),g)))) is Element of K6( the carrier of (TOP-REAL 2))
{((F . k) /. (len (F . k)))} is V26() set
<*((Gauge (C,n)) * ((f + 1),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)
(F . k) ^ <*((Gauge (C,n)) * ((f + 1),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)
[(f -' 1),g] is set
{(f -' 1),g} is V26() set
{(f -' 1)} is V26() set
{{(f -' 1),g},{(f -' 1)}} is V26() V30() set
((f -' 1) + 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(f -' 1) + (1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (C,n)) * ((f -' 1),g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * ((f -' 1),g))) is closed closed boundary connected bounded bounded V189( TOP-REAL 2) V189( TOP-REAL 2) Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((F . k),(k -' 1))) /\ (LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * ((f -' 1),g)))) is Element of K6( the carrier of (TOP-REAL 2))
{((F . k) /. (len (F . k)))} is V26() set
<*((Gauge (C,n)) * ((f -' 1),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)
(F . k) ^ <*((Gauge (C,n)) * ((f -' 1),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)
[f,(g -' 1)] is set
{f,(g -' 1)} is V26() set
{{f,(g -' 1)},{f}} is V26() V30() set
((g -' 1) + 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(g -' 1) + (1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(Gauge (C,n)) * (f,(g -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * (f,(g -' 1)))) is closed closed boundary connected bounded bounded V189( TOP-REAL 2) V189( TOP-REAL 2) Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((F . k),(k -' 1))) /\ (LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * (f,(g -' 1))))) is Element of K6( the carrier of (TOP-REAL 2))
{((F . k) /. (len (F . k)))} is V26() set
<*((Gauge (C,n)) * (f,(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)
(F . k) ^ <*((Gauge (C,n)) * (f,(g -' 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 (F . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
front_right_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
[(f + 1),g] is set
{(f + 1),g} is V26() set
{(f + 1)} is V26() set
{{(f + 1),g},{(f + 1)}} is V26() V30() set
(Gauge (C,n)) * ((f + 1),g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * ((f + 1),g))) is closed closed boundary connected bounded bounded V189( TOP-REAL 2) V189( TOP-REAL 2) Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((F . k),(k -' 1))) /\ (LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * ((f + 1),g)))) is Element of K6( the carrier of (TOP-REAL 2))
{((F . k) /. (len (F . k)))} is V26() set
<*((Gauge (C,n)) * ((f + 1),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)
(F . k) ^ <*((Gauge (C,n)) * ((f + 1),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)
[f,(g -' 1)] is set
{f,(g -' 1)} is V26() set
{{f,(g -' 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(g -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * (f,(g -' 1)))) is closed closed boundary connected bounded bounded V189( TOP-REAL 2) V189( TOP-REAL 2) Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((F . k),(k -' 1))) /\ (LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * (f,(g -' 1))))) is Element of K6( the carrier of (TOP-REAL 2))
{((F . k) /. (len (F . k)))} is V26() set
<*((Gauge (C,n)) * (f,(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)
(F . k) ^ <*((Gauge (C,n)) * (f,(g -' 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)
[f,(g + 1)] is set
{f,(g + 1)} is V26() set
{{f,(g + 1)},{f}} is V26() V30() set
(Gauge (C,n)) * (f,(g + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * (f,(g + 1)))) is closed closed boundary connected bounded bounded V189( TOP-REAL 2) V189( TOP-REAL 2) Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((F . k),(k -' 1))) /\ (LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * (f,(g + 1))))) is Element of K6( the carrier of (TOP-REAL 2))
{((F . k) /. (len (F . k)))} is V26() set
<*((Gauge (C,n)) * (f,(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)
(F . k) ^ <*((Gauge (C,n)) * (f,(g + 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)
[(f -' 1),g] is set
{(f -' 1),g} is V26() set
{(f -' 1)} is V26() set
{{(f -' 1),g},{(f -' 1)}} is V26() V30() set
(Gauge (C,n)) * ((f -' 1),g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * ((f -' 1),g))) is closed closed boundary connected bounded bounded V189( TOP-REAL 2) V189( TOP-REAL 2) Element of K6( the carrier of (TOP-REAL 2))
(LSeg ((F . k),(k -' 1))) /\ (LSeg (((F . k) /. (len (F . k))),((Gauge (C,n)) * ((f -' 1),g)))) is Element of K6( the carrier of (TOP-REAL 2))
{((F . k) /. (len (F . k)))} is V26() set
<*((Gauge (C,n)) * ((f -' 1),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)
(F . k) ^ <*((Gauge (C,n)) * ((f -' 1),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)
(len (F . k)) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
front_right_cell ((F . k),((len (F . k)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((F . k),((len (F . k)) -' 1),(Gauge (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
F . 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
F . (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)
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom (F . (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
(F . (k + 1)) /. k is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . (k + 1)) /. m is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
len (F . (k + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
len (F . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom (F . k) is V26() Element of K6(NAT)
(F . k) /. m is 2 -element FinSequence-like V136() 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 (C,n)) * (f,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,f))*> 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 . k) ^ <*((Gauge (C,n)) * (f,f))*> 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 . k) /. k is 2 -element FinSequence-like V136() 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 (C,n)) * (f,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
<*((Gauge (C,n)) * (f,f))*> 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 . k) ^ <*((Gauge (C,n)) * (f,f))*> 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
F . 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 (F . k) is V26() set
card (rng (F . k)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of omega
len (F . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len (Gauge (C,n))) * (width (Gauge (C,n))) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
((len (Gauge (C,n))) * (width (Gauge (C,n)))) + 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
F . 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 (F . k) is V26() set
card (rng (F . k)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of omega
Values (Gauge (C,n)) is V26() Element of K6( the carrier of (TOP-REAL 2))
card (Values (Gauge (C,n))) 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
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
F . 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 (F . k) is V26() Element of K6(NAT)
len (F . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(F . k) /. k is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . k) /. (len (F . k)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative set
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
F . 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 (F . k) is V26() Element of K6(NAT)
len (F . k) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(F . k) /. (len (F . k)) is 2 -element FinSequence-like V136() 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
f is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
F . 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 (F . m) is V26() Element of K6(NAT)
len (F . m) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(F . m) /. f is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . m) /. (len (F . m)) is 2 -element FinSequence-like V136() 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
(F . k) /. m is 2 -element FinSequence-like V136() 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
g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
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)
dom (F . f) is V26() Element of K6(NAT)
len (F . f) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(F . f) /. g is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . f) /. (len (F . f)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f 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 f 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
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 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)
m + 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
L~ f is closed boundary 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 V179( 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 boundary connected bounded V189( TOP-REAL 2) non horizontal non vertical being_simple_closed_curve Element of K6( the carrier of (TOP-REAL 2))
(L~ g) ` is Element of K6( the carrier of (TOP-REAL 2))
g is Element of K6( the carrier of (TOP-REAL 2))
Lg9 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
Lg9 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f /. Lg9 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
left_cell (f,Lg9,(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
(left_cell (f,Lg9,(Gauge (C,n)))) \ (L~ g) is Element of K6( the carrier of (TOP-REAL 2))
Int (left_cell (f,Lg9,(Gauge (C,n)))) is Element of K6( the carrier of (TOP-REAL 2))
f is Element of K6( the carrier of (TOP-REAL 2))
(left_cell (f,Lg9,(Gauge (C,n)))) /\ ((L~ g) `) is Element of K6( the carrier of (TOP-REAL 2))
Cl (Int (left_cell (f,Lg9,(Gauge (C,n))))) is Element of K6( the carrier of (TOP-REAL 2))
m is set
B is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
q is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
p1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
p1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
LSeg (f,p1) is closed Element of K6( the carrier of (TOP-REAL 2))
right_cell (f,p1,(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
left_cell (f,p1,(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
(right_cell (f,p1,(Gauge (C,n)))) /\ (left_cell (f,p1,(Gauge (C,n)))) is Element of K6( the carrier of (TOP-REAL 2))
q is 2 -element FinSequence-like V136() 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
left_cell (f,g,(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
Int (left_cell (f,g,(Gauge (C,n)))) is Element of K6( the carrier of (TOP-REAL 2))
Cl (Int (left_cell (f,g,(Gauge (C,n))))) is Element of K6( the carrier of (TOP-REAL 2))
f /. g is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f /. (g + 1) is 2 -element FinSequence-like V136() 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
Lg9 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[g,Lg9] is set
{g,Lg9} is V26() set
{g} is V26() set
{{g,Lg9},{g}} is V26() V30() set
(Gauge (C,n)) * (g,Lg9) is 2 -element FinSequence-like V136() 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 (C,n)) * (f,f) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 + 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
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
g -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (C,n)),(g -' 1),Lg9) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(g -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),Lg9) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(g -' 1))) /\ (h_strip ((Gauge (C,n)),Lg9)) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),g,Lg9) 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)),Lg9) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),g)) /\ (h_strip ((Gauge (C,n)),Lg9)) 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 (C,n)),f,(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),f) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(f -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),f)) /\ (h_strip ((Gauge (C,n)),(f -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),g,f) 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)),f) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),g)) /\ (h_strip ((Gauge (C,n)),f)) is Element of K6( the carrier of (TOP-REAL 2))
len (f /^ (m -' 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(len f) - (m -' 1) is V11() real ext-real Element of REAL
(m -' 1) - (m -' 1) is V11() real ext-real set
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)
len g is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom g is non empty V26() Element of K6(NAT)
g /. (len g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(m -' 1) + (len g) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f /. ((m -' 1) + (len g)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f /. (len f) is 2 -element FinSequence-like V136() 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
g . 1 is set
g . 2 is set
g /. 1 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. (1 + 1) is 2 -element FinSequence-like V136() 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 /. g is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
g /. Lg9 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(m -' 1) + Lg9 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f /. ((m -' 1) + Lg9) is 2 -element FinSequence-like V136() 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
f /. ((m -' 1) + g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
F . ((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 (F . ((m -' 1) + g)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f | ((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 (F . ((m -' 1) + g)) is V26() Element of K6(NAT)
(F . ((m -' 1) + g)) /. ((m -' 1) + g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
0 + Lg9 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(F . ((m -' 1) + g)) /. ((m -' 1) + Lg9) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
F . ((m -' 1) + Lg9) 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 . ((m -' 1) + Lg9)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f | ((m -' 1) + Lg9) 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 + Lg9 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom (F . ((m -' 1) + Lg9)) is V26() Element of K6(NAT)
(F . ((m -' 1) + Lg9)) /. ((m -' 1) + Lg9) is 2 -element FinSequence-like V136() 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
(F . ((m -' 1) + Lg9)) /. ((m -' 1) + g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. 1 is 2 -element FinSequence-like V136() 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
f /. ((m -' 1) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f /. m is 2 -element FinSequence-like V136() 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 /. g is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
g /. Lg9 is 2 -element FinSequence-like V136() 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 /. g is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
Lg9 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
g /. Lg9 is 2 -element FinSequence-like V136() 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 (g,g) is closed Element of K6( the carrier of (TOP-REAL 2))
Lg9 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
Lg9 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
LSeg (g,Lg9) is closed Element of K6( the carrier of (TOP-REAL 2))
g /. g is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. (g + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
LSeg ((g /. g),(g /. (g + 1))) is closed closed boundary connected bounded bounded V189( TOP-REAL 2) V189( TOP-REAL 2) 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 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 (C,n)) * (f,f) is 2 -element FinSequence-like V136() 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
B is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,B] is set
{m,B} is V26() set
{m} is V26() set
{{m,B},{m}} is V26() V30() set
(Gauge (C,n)) * (m,B) is 2 -element FinSequence-like V136() 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
f + 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
B + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
g /. Lg9 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. (Lg9 + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
LSeg ((g /. Lg9),(g /. (Lg9 + 1))) is closed closed boundary connected bounded bounded V189( TOP-REAL 2) V189( TOP-REAL 2) Element of K6( the carrier of (TOP-REAL 2))
q is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
p1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[q,p1] is set
{q,p1} is V26() set
{q} is V26() set
{{q,p1},{q}} is V26() V30() set
(Gauge (C,n)) * (q,p1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
p2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
q1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[p2,q1] is set
{p2,q1} is V26() set
{p2} is V26() set
{{p2,q1},{p2}} is V26() V30() set
(Gauge (C,n)) * (p2,q1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
p1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
q + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
p2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
q1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(LSeg (g,g)) /\ (LSeg (g,Lg9)) is Element of K6( the carrier of (TOP-REAL 2))
(LSeg (g,g)) /\ (LSeg (g,Lg9)) is Element of K6( the carrier of (TOP-REAL 2))
g /. Lg9 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. (Lg9 + 1) is 2 -element FinSequence-like V136() 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 (C,n)) * (f,f) is 2 -element FinSequence-like V136() 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
B is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[m,B] is set
{m,B} is V26() set
{m} is V26() set
{{m,B},{m}} is V26() V30() set
(Gauge (C,n)) * (m,B) is 2 -element FinSequence-like V136() 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
f + 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
B + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(LSeg (g,g)) /\ (LSeg (g,Lg9)) is Element of K6( the carrier of (TOP-REAL 2))
g /. g is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. (g + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
LSeg ((g /. g),(g /. (g + 1))) is closed closed boundary connected bounded bounded V189( TOP-REAL 2) V189( TOP-REAL 2) Element of K6( the carrier of (TOP-REAL 2))
q is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
p1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[q,p1] is set
{q,p1} is V26() set
{q} is V26() set
{{q,p1},{q}} is V26() V30() set
(Gauge (C,n)) * (q,p1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
p2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
q1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[p2,q1] is set
{p2,q1} is V26() set
{p2} is V26() set
{{p2,q1},{p2}} is V26() V30() set
(Gauge (C,n)) * (p2,q1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
p1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
q + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
p2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
q1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
LSeg ((g /. Lg9),(g /. (Lg9 + 1))) is closed closed boundary connected bounded bounded V189( TOP-REAL 2) V189( TOP-REAL 2) 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 V179( 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 boundary connected bounded V189( TOP-REAL 2) non horizontal non vertical being_simple_closed_curve Element of K6( the carrier of (TOP-REAL 2))
(L~ g) ` is Element of K6( the carrier of (TOP-REAL 2))
Lg9 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
f is 2 -element FinSequence-like V136() 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
g /. m is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. (m + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
LSeg ((g /. m),(g /. (m + 1))) is closed closed boundary connected bounded bounded V189( TOP-REAL 2) V189( TOP-REAL 2) Element of K6( the carrier of (TOP-REAL 2))
m + (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)
(m + 1) + (m -' 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f /. ((m + 1) + (m -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(m + (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
f /. (m + (m -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
LSeg (f,(m + (m -' 1))) is closed Element of K6( the carrier of (TOP-REAL 2))
right_cell (f,(m + (m -' 1)),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
left_cell (f,(m + (m -' 1)),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
(right_cell (f,(m + (m -' 1)),(Gauge (C,n)))) /\ (left_cell (f,(m + (m -' 1)),(Gauge (C,n)))) is Element of K6( the carrier of (TOP-REAL 2))
LeftComp g is open connected V174( TOP-REAL 2) Element of K6( the carrier of (TOP-REAL 2))
Int ((L~ g) `) is Element of K6( the carrier of (TOP-REAL 2))
left_cell (f,m,(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
f is set
f is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
B is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
left_cell (g,1) is Element of K6( the carrier of (TOP-REAL 2))
Int (left_cell (g,1)) is Element of K6( the carrier of (TOP-REAL 2))
left_cell (g,1,(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
Int (left_cell (g,1,(Gauge (C,n)))) is Element of K6( the carrier of (TOP-REAL 2))
left_cell (f,((m -' 1) + 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
Int (left_cell (f,((m -' 1) + 1),(Gauge (C,n)))) is Element of K6( the carrier of (TOP-REAL 2))
Int (left_cell (f,m,(Gauge (C,n)))) is Element of K6( the carrier of (TOP-REAL 2))
m is Element of the carrier of (Euclid 2)
q is V11() real ext-real set
Ball (m,q) is Element of K6( the carrier of (Euclid 2))
K6( the carrier of (Euclid 2)) is set
p1 is V11() real ext-real Element of REAL
Ball (m,p1) is Element of K6( the carrier of (Euclid 2))
p2 is non empty Element of K6( the carrier of (TOP-REAL 2))
Cl (Int (left_cell (f,m,(Gauge (C,n))))) is Element of K6( the carrier of (TOP-REAL 2))
m is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
RightComp g is open connected V174( TOP-REAL 2) 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 epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(f -' 1) + 2 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 + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
(f + 2) -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(f + 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
((f + 1) + 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 /. f is 2 -element FinSequence-like V136() 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 (f,m) is closed Element of K6( the carrier of (TOP-REAL 2))
f /. m is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
F . 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 (F . m) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom (F . m) is V26() Element of K6(NAT)
(F . m) /. f is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
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)
(F . f) /. f is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . m) /. m is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . m) /. (len (F . m)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f /. (m + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
F . 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 (F . m) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom (F . m) is V26() Element of K6(NAT)
(F . m) /. f is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
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)
(F . f) /. f is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . m) /. m is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . m) /. (len (F . m)) is 2 -element FinSequence-like V136() 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
F . (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 (F . (m + 1)) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
dom (F . (m + 1)) is V26() Element of K6(NAT)
(F . (m + 1)) /. f is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
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)
(F . f) /. f is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . (m + 1)) /. (m + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . (m + 1)) /. (len (F . (m + 1))) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f /. m is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f /. (m + 1) is 2 -element FinSequence-like V136() 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 V179( the carrier of (TOP-REAL 2)) special unfolded s.c.c. standard FinSequence of the carrier of (TOP-REAL 2)
LeftComp (Rev g) is open connected V174( TOP-REAL 2) 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
f /. (m -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Rev g) /. 1 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Rev g) /. 2 is 2 -element FinSequence-like V136() 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
F . ((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 (F . ((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
p1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
p2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
[p1,p2] is set
{p1,p2} is V26() set
{p1} is V26() set
{{p1,p2},{p1}} is V26() V30() set
(Gauge (C,n)) * (p1,p2) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
q1 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
[q1,q2] is set
{q1,q2} is V26() set
{q1} is V26() set
{{q1,q2},{q1}} is V26() V30() set
(Gauge (C,n)) * (q1,q2) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
p2 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
p1 + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
q1 + 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 V136() Element of the carrier of (TOP-REAL 2)
f /. ((m -' 1) + ((len g) -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
((len (Rev g)) -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
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
k - (m - 1) is V11() real ext-real Element of REAL
(k - (m - 1)) - 1 is V11() real ext-real Element of REAL
((k - (m - 1)) - 1) + m is V11() real ext-real Element of REAL
(((k - (m - 1)) - 1) + m) - 1 is V11() real ext-real Element of REAL
k - 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
f /. (((m -' 1) + ((len g) -' 1)) + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
left_cell (f,(m -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
dom (F . ((m -' 1) + ((len g) -' 1))) is V26() Element of K6(NAT)
L~ (Rev g) is non empty closed boundary connected bounded V189( TOP-REAL 2) non horizontal non vertical being_simple_closed_curve Element of K6( the carrier of (TOP-REAL 2))
left_cell (f,((m -' 1) + ((len g) -' 1)),(Gauge (C,n))) 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 (C,n)) * (a1,a2) is 2 -element FinSequence-like V136() 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 (C,n)) * (p91,p92) is 2 -element FinSequence-like V136() 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
F . (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)
(F . (m -' 1)) /. (m -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
F . 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)
(F . m) /. (m -' 1) is 2 -element FinSequence-like V136() 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 V136() Element of the carrier of (TOP-REAL 2)
g /. 2 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f /. (m + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. 1 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Rev g) /. (len g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Rev g) /. (len (Rev g)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . k) | (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)
F . (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)
(F . m) /. m is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
len (F . m) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
left_cell ((Rev g),((len (Rev g)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
(left_cell ((Rev g),((len (Rev g)) -' 1),(Gauge (C,n)))) \ (L~ (Rev g)) is Element of K6( the carrier of (TOP-REAL 2))
p2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (C,n)),p1,p2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),p1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),p2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),p1)) /\ (h_strip ((Gauge (C,n)),p2)) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((F . m),(m -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
[(p1 + 1),p2] is set
{(p1 + 1),p2} is V26() set
{(p1 + 1)} is V26() set
{{(p1 + 1),p2},{(p1 + 1)}} is V26() V30() set
(Gauge (C,n)) * ((p1 + 1),p2) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (C,n)),p1,a2) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),a2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),p1)) /\ (h_strip ((Gauge (C,n)),a2)) is Element of K6( the carrier of (TOP-REAL 2))
(L~ (Rev g)) ` is Element of K6( the carrier of (TOP-REAL 2))
q1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (f,((m -' 1) + ((len g) -' 1)),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),a1,a2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),a1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),a2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),a1)) /\ (h_strip ((Gauge (C,n)),a2)) is Element of K6( the carrier of (TOP-REAL 2))
right_cell (f,(m -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),p1,p2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),p1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),p2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),p1)) /\ (h_strip ((Gauge (C,n)),p2)) is Element of K6( the carrier of (TOP-REAL 2))
(F . ((m -' 1) + ((len g) -' 1))) /. (m -' 1) is 2 -element FinSequence-like V136() Element 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 FinSequence of the carrier of (TOP-REAL 2)
(F . (m -' 1)) /. (m -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . ((m -' 1) + ((len g) -' 1))) /. ((m -' 1) + ((len g) -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . ((m -' 1) + ((len g) -' 1))) /. (len (F . ((m -' 1) + ((len g) -' 1)))) is 2 -element FinSequence-like V136() 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 (C,n)) * (a1,a2) is 2 -element FinSequence-like V136() 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 (C,n)) * (p91,p92) is 2 -element FinSequence-like V136() 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
right_cell (f,(m -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),a1,a2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),a1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),a2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),a1)) /\ (h_strip ((Gauge (C,n)),a2)) is Element of K6( 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 FinSequence of the carrier of (TOP-REAL 2)
(F . (m -' 1)) /. (m -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
F . 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)
(F . m) /. (m -' 1) is 2 -element FinSequence-like V136() 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 V136() Element of the carrier of (TOP-REAL 2)
g /. 2 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f /. (m + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . k) | (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)
F . (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 (F . m) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
g /. 1 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Rev g) /. (len g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Rev g) /. (len (Rev g)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
left_cell ((Rev g),((len (Rev g)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
(left_cell ((Rev g),((len (Rev g)) -' 1),(Gauge (C,n)))) \ (L~ (Rev g)) is Element of K6( the carrier of (TOP-REAL 2))
(F . m) /. m is 2 -element FinSequence-like V136() 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
(a2 -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
p1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
p2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (C,n)),p1,(p2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),p1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(p2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),p1)) /\ (h_strip ((Gauge (C,n)),(p2 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((F . m),(m -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
[p1,(p2 -' 1)] is set
{p1,(p2 -' 1)} is V26() set
{{p1,(p2 -' 1)},{p1}} is V26() V30() set
(Gauge (C,n)) * (p1,(p2 -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (C,n)),a1,(a2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),a1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(a2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),a1)) /\ (h_strip ((Gauge (C,n)),(a2 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(L~ (Rev g)) ` is Element of K6( the carrier of (TOP-REAL 2))
(F . ((m -' 1) + ((len g) -' 1))) /. (m -' 1) is 2 -element FinSequence-like V136() Element 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 FinSequence of the carrier of (TOP-REAL 2)
(F . (m -' 1)) /. (m -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . ((m -' 1) + ((len g) -' 1))) /. ((m -' 1) + ((len g) -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . ((m -' 1) + ((len g) -' 1))) /. (len (F . ((m -' 1) + ((len g) -' 1)))) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
right_cell (f,((m -' 1) + ((len g) -' 1)),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),p1,p2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),p1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),p2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),p1)) /\ (h_strip ((Gauge (C,n)),p2)) 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 (C,n)) * (a1,a2) is 2 -element FinSequence-like V136() 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 (C,n)) * (p91,p92) is 2 -element FinSequence-like V136() 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
right_cell (f,((m -' 1) + ((len g) -' 1)),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),q1,(q2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),q1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(q2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),q1)) /\ (h_strip ((Gauge (C,n)),(q2 -' 1))) is Element of K6( the carrier of (TOP-REAL 2))
(F . ((m -' 1) + ((len g) -' 1))) /. (m -' 1) is 2 -element FinSequence-like V136() Element 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 FinSequence of the carrier of (TOP-REAL 2)
(F . (m -' 1)) /. (m -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . ((m -' 1) + ((len g) -' 1))) /. ((m -' 1) + ((len g) -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . ((m -' 1) + ((len g) -' 1))) /. (len (F . ((m -' 1) + ((len g) -' 1)))) is 2 -element FinSequence-like V136() Element 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 FinSequence of the carrier of (TOP-REAL 2)
(F . (m -' 1)) /. (m -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
F . 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)
(F . m) /. (m -' 1) is 2 -element FinSequence-like V136() 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 V136() Element of the carrier of (TOP-REAL 2)
g /. 2 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f /. (m + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
left_cell ((Rev g),((len (Rev g)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
(left_cell ((Rev g),((len (Rev g)) -' 1),(Gauge (C,n)))) \ (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))
p1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(F . k) | (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)
F . (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)
(F . m) /. m is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
len (F . m) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (C,n)),q1,q2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),q1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),q2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),q1)) /\ (h_strip ((Gauge (C,n)),q2)) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((F . m),(m -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
[p1,(p2 + 1)] is set
{p1,(p2 + 1)} is V26() set
{{p1,(p2 + 1)},{p1}} is V26() V30() set
(Gauge (C,n)) * (p1,(p2 + 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
g /. 1 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Rev g) /. (len g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Rev g) /. (len (Rev g)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (C,n)),p1,p2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),p1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),p2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),p1)) /\ (h_strip ((Gauge (C,n)),p2)) 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
right_cell (f,(m -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),q1,q2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),q1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),q2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),q1)) /\ (h_strip ((Gauge (C,n)),q2)) 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 (C,n)) * (a1,a2) is 2 -element FinSequence-like V136() 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 (C,n)) * (p91,p92) is 2 -element FinSequence-like V136() 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
(F . ((m -' 1) + ((len g) -' 1))) /. (m -' 1) is 2 -element FinSequence-like V136() Element 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 FinSequence of the carrier of (TOP-REAL 2)
(F . (m -' 1)) /. (m -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . ((m -' 1) + ((len g) -' 1))) /. ((m -' 1) + ((len g) -' 1)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . ((m -' 1) + ((len g) -' 1))) /. (len (F . ((m -' 1) + ((len g) -' 1)))) is 2 -element FinSequence-like V136() 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
q1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
right_cell (f,(m -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),a1,(a2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),a1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(a2 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),a1)) /\ (h_strip ((Gauge (C,n)),(a2 -' 1))) 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
right_cell (f,((m -' 1) + ((len g) -' 1)),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
cell ((Gauge (C,n)),q1,q2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),q1) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),q2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),q1)) /\ (h_strip ((Gauge (C,n)),q2)) is Element of K6( the carrier of (TOP-REAL 2))
F . 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)
(F . m) /. m is 2 -element FinSequence-like V136() 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 V136() Element of the carrier of (TOP-REAL 2)
g /. 2 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f /. (m + 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
p1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(p1 -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
F . (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)
(F . (m -' 1)) /. (m -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . m) /. (m -' 1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
p2 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
left_cell ((Rev g),((len (Rev g)) -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
(left_cell ((Rev g),((len (Rev g)) -' 1),(Gauge (C,n)))) \ (L~ (Rev g)) is Element of K6( the carrier of (TOP-REAL 2))
g /. 1 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Rev g) /. (len g) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(Rev g) /. (len (Rev g)) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
len (F . m) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(F . k) | (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)
F . (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)
q1 -' 1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
cell ((Gauge (C,n)),(q1 -' 1),q2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(q1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),q2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(q1 -' 1))) /\ (h_strip ((Gauge (C,n)),q2)) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((F . m),(m -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
[(p1 -' 1),p2] is set
{(p1 -' 1),p2} is V26() set
{(p1 -' 1)} is V26() set
{{(p1 -' 1),p2},{(p1 -' 1)}} is V26() V30() set
(Gauge (C,n)) * ((p1 -' 1),p2) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
cell ((Gauge (C,n)),(p1 -' 1),p2) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),(p1 -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),p2) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),(p1 -' 1))) /\ (h_strip ((Gauge (C,n)),p2)) is Element of K6( the carrier of (TOP-REAL 2))
(L~ (Rev g)) ` is Element of K6( the carrier of (TOP-REAL 2))
f /^ 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 . 1) /. 1 is 2 -element FinSequence-like V136() Element 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 V179( the carrier of (TOP-REAL 2)) special unfolded s.c.c. standard FinSequence of the carrier of (TOP-REAL 2)
f /. 1 is 2 -element FinSequence-like V136() 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 . 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)
dom (F . f) is V26() Element of K6(NAT)
len (F . f) is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
(F . f) /. m is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
(F . f) /. (len (F . f)) is 2 -element FinSequence-like V136() Element 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 FinSequence of the carrier of (TOP-REAL 2)
(F . 2) /. 2 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f /. 2 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
L~ f is non empty closed boundary connected bounded V189( TOP-REAL 2) non horizontal non vertical being_simple_closed_curve Element of K6( the carrier of (TOP-REAL 2))
(L~ f) ` is Element of K6( the carrier of (TOP-REAL 2))
LeftComp f is open connected V174( TOP-REAL 2) Element of K6( the carrier of (TOP-REAL 2))
RightComp f is open connected V174( TOP-REAL 2) Element of K6( the carrier of (TOP-REAL 2))
C ` is Element of K6( the carrier of (TOP-REAL 2))
UBD (L~ f) is non empty open connected V174( TOP-REAL 2) Element of K6( the carrier of (TOP-REAL 2))
((X-SpanStart (C,n)) -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
{ b1 where b1 is Element of K6( the carrier of (TOP-REAL 2)) : b1 is_inside_component_of C } is set
right_cell (f,1,(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
Int (right_cell (f,1,(Gauge (C,n)))) is Element of K6( the carrier of (TOP-REAL 2))
BDD C is Element of K6( the carrier of (TOP-REAL 2))
union { b1 where b1 is Element of K6( the carrier of (TOP-REAL 2)) : b1 is_inside_component_of C } is set
[((X-SpanStart (C,n)) -' 1),(Y-SpanStart (C,n))] is set
{((X-SpanStart (C,n)) -' 1),(Y-SpanStart (C,n))} is V26() set
{((X-SpanStart (C,n)) -' 1)} is V26() set
{{((X-SpanStart (C,n)) -' 1),(Y-SpanStart (C,n))},{((X-SpanStart (C,n)) -' 1)}} is V26() V30() set
cell ((Gauge (C,n)),((X-SpanStart (C,n)) -' 1),(Y-SpanStart (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
v_strip ((Gauge (C,n)),((X-SpanStart (C,n)) -' 1)) is Element of K6( the carrier of (TOP-REAL 2))
h_strip ((Gauge (C,n)),(Y-SpanStart (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
(v_strip ((Gauge (C,n)),((X-SpanStart (C,n)) -' 1))) /\ (h_strip ((Gauge (C,n)),(Y-SpanStart (C,n)))) is Element of K6( the carrier of (TOP-REAL 2))
m is set
B 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 V179( 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 V136() Element of the carrier of (TOP-REAL 2)
f /. 2 is 2 -element FinSequence-like V136() 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 + 2 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
front_right_cell (f,m,(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell (f,m,(Gauge (C,n))) 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
F . ((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)
F . (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_right_cell ((F . (m + 1)),m,(Gauge (C,n))) 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_left_cell ((F . (m + 1)),m,(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
f1 is non empty V2() Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like non constant V26() FinSequence-like FinSubsequence-like V179( the carrier of (TOP-REAL 2)) special unfolded s.c.c. standard clockwise_oriented FinSequence of the carrier of (TOP-REAL 2)
f1 /. 1 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f1 /. 2 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
len f1 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f2 is non empty V2() Relation-like NAT -defined the carrier of (TOP-REAL 2) -valued Function-like non constant V26() FinSequence-like FinSubsequence-like V179( the carrier of (TOP-REAL 2)) special unfolded s.c.c. standard clockwise_oriented FinSequence of the carrier of (TOP-REAL 2)
f2 /. 1 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f2 /. 2 is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
len f2 is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f1 | 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)
<*(f1 /. 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)
k is epsilon-transitive epsilon-connected ordinal natural V11() real ext-real non negative Element of NAT
f1 | 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)
f2 | 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)
k + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
f1 | (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)
f2 | (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)
f1 | 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)
<*(f1 /. 1),(f1 /. 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)
f2 /. (len f2) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f1 /. (len f1) is 2 -element FinSequence-like V136() Element 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
(k -' 1) + 1 is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
front_right_cell (f1,(k -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((f1 | k),(k -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
dom (f2 | k) is V26() Element of K6(NAT)
(f1 | k) /. (len f2) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f1 /. (len f2) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
front_left_cell (f2,(k -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((f2 | k),(k -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell (f2,(k -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_right_cell ((f2 | k),(k -' 1),(Gauge (C,n))) 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
(k -' 1) + (1 + 1) is non empty epsilon-transitive epsilon-connected ordinal natural V11() real ext-real positive non negative Element of NAT
front_left_cell (f1,(k -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
front_left_cell ((f1 | k),(k -' 1),(Gauge (C,n))) is Element of K6( the carrier of (TOP-REAL 2))
dom (f1 | k) is V26() Element of K6(NAT)
(f2 | k) /. (len f1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f2 /. (len f1) is 2 -element FinSequence-like V136() Element of the carrier of (TOP-REAL 2)
f1 | 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)
f2 | 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)