:: GOBOARD1 semantic presentation
begin
definition
let
f
be ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) ;
func
X_axis
f
->
( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
V147
()
V148
()
V149
() )
FinSequence
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) )
means
:: GOBOARD1:def 1
(
len
it
: ( ( ) ( )
Element
of
bool
(
bool
f
: ( ( ) ( )
TopStruct
)
)
: ( ( ) ( )
set
) : ( ( ) ( )
set
) ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
len
f
: ( ( ) ( )
TopStruct
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) & ( for
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
it
: ( ( ) ( )
Element
of
bool
(
bool
f
: ( ( ) ( )
TopStruct
)
)
: ( ( ) ( )
set
) : ( ( ) ( )
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
it
: ( ( ) ( )
Element
of
bool
(
bool
f
: ( ( ) ( )
TopStruct
)
)
: ( ( ) ( )
set
) : ( ( ) ( )
set
) )
.
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
ext-real
V25
()
V32
() )
Element
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) )
=
(
f
: ( ( ) ( )
TopStruct
)
/.
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
`1
: ( ( ) (
ext-real
V25
()
V32
() )
Element
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) ) ) );
func
Y_axis
f
->
( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
V147
()
V148
()
V149
() )
FinSequence
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) )
means
:: GOBOARD1:def 2
(
len
it
: ( ( ) ( )
Element
of
bool
(
bool
f
: ( ( ) ( )
TopStruct
)
)
: ( ( ) ( )
set
) : ( ( ) ( )
set
) ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
len
f
: ( ( ) ( )
TopStruct
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) & ( for
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
it
: ( ( ) ( )
Element
of
bool
(
bool
f
: ( ( ) ( )
TopStruct
)
)
: ( ( ) ( )
set
) : ( ( ) ( )
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
it
: ( ( ) ( )
Element
of
bool
(
bool
f
: ( ( ) ( )
TopStruct
)
)
: ( ( ) ( )
set
) : ( ( ) ( )
set
) )
.
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
ext-real
V25
()
V32
() )
Element
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) )
=
(
f
: ( ( ) ( )
TopStruct
)
/.
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
`2
: ( ( ) (
ext-real
V25
()
V32
() )
Element
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) ) ) );
end;
theorem
:: GOBOARD1:1
for
f
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
for
i
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) & 2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
len
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) holds
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
L~
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) ( )
Element
of
bool
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) : ( ( ) ( )
set
) ) ;
begin
theorem
:: GOBOARD1:2
for
D
being ( ( non
empty
) ( non
empty
)
set
)
for
M
being ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) )) )
for
i
,
j
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) )) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) )) )
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
2
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) )) ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
(
Col
(
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) )) ) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
b
1
: ( ( non
empty
) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) ,
K197
(
(
len
b
2
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) )) )
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
b
1
: ( ( non
empty
) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) )) ))
.
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( )
set
)
=
(
Line
(
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) )) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
b
1
: ( ( non
empty
) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) ,
K197
(
(
width
b
2
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) )) )
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
b
1
: ( ( non
empty
) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
(
b
1
: ( ( non
empty
) ( non
empty
)
set
) )) ))
.
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( )
set
) ;
definition
let
D
be ( ( non
empty
) ( non
empty
)
set
) ;
let
M
be ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
D
: ( ( non
empty
) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
D
: ( ( non
empty
) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
D
: ( ( non
empty
) ( non
empty
)
set
) )) ) ;
:: original:
empty-yielding
redefine
attr
M
is
empty-yielding
means
:: GOBOARD1:def 3
(
0
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
len
M
: ( ( ) ( )
Element
of
bool
(
bool
D
: ( ( ) ( )
TopStruct
)
)
: ( ( ) ( )
set
) : ( ( ) ( )
set
) ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) or
0
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
width
M
: ( ( ) ( )
Element
of
bool
(
bool
D
: ( ( ) ( )
TopStruct
)
)
: ( ( ) ( )
set
) : ( ( ) ( )
set
) ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) );
end;
definition
let
M
be ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ) ;
attr
M
is
X_equal-in-line
means
:: GOBOARD1:def 4
for
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
M
: ( ( ) ( )
TopStruct
) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
X_axis
(
Line
(
M
: ( ( ) ( )
TopStruct
) ,
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
M
: ( ( ) ( )
TopStruct
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
V147
()
V148
()
V149
() )
FinSequence
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) ) is
constant
;
attr
M
is
Y_equal-in-column
means
:: GOBOARD1:def 5
for
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
M
: ( ( ) ( )
TopStruct
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
M
: ( ( ) ( )
TopStruct
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
Y_axis
(
Col
(
M
: ( ( ) ( )
TopStruct
) ,
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
M
: ( ( ) ( )
TopStruct
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
V147
()
V148
()
V149
() )
FinSequence
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) ) is
constant
;
attr
M
is
Y_increasing-in-line
means
:: GOBOARD1:def 6
for
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
M
: ( ( ) ( )
TopStruct
) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
Y_axis
(
Line
(
M
: ( ( ) ( )
TopStruct
) ,
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
M
: ( ( ) ( )
TopStruct
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
V147
()
V148
()
V149
() )
FinSequence
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) ) is
increasing
;
attr
M
is
X_increasing-in-column
means
:: GOBOARD1:def 7
for
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
M
: ( ( ) ( )
TopStruct
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
M
: ( ( ) ( )
TopStruct
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
X_axis
(
Col
(
M
: ( ( ) ( )
TopStruct
) ,
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
M
: ( ( ) ( )
TopStruct
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
V147
()
V148
()
V149
() )
FinSequence
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) ) is
increasing
;
end;
registration
cluster
Relation-like
V3
()
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
for ( ( ) ( )
FinSequence
of
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) ) ;
end;
theorem
:: GOBOARD1:3
for
M
being ( (
tabular
X_equal-in-line
X_increasing-in-column
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
X_increasing-in-column
)
Matrix
of )
for
x
being ( ( ) ( )
set
)
for
n
,
m
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
x
: ( ( ) ( )
set
)
in
rng
(
Line
(
M
: ( (
tabular
X_equal-in-line
X_increasing-in-column
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
X_increasing-in-column
)
Matrix
of ) ,
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
1
: ( (
tabular
X_equal-in-line
X_increasing-in-column
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
X_increasing-in-column
)
Matrix
of )
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
x
: ( ( ) ( )
set
)
in
rng
(
Line
(
M
: ( (
tabular
X_equal-in-line
X_increasing-in-column
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
X_increasing-in-column
)
Matrix
of ) ,
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
1
: ( (
tabular
X_equal-in-line
X_increasing-in-column
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
X_increasing-in-column
)
Matrix
of )
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
M
: ( (
tabular
X_equal-in-line
X_increasing-in-column
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
X_increasing-in-column
)
Matrix
of ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
M
: ( (
tabular
X_equal-in-line
X_increasing-in-column
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
X_increasing-in-column
)
Matrix
of ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ;
theorem
:: GOBOARD1:4
for
M
being ( (
tabular
Y_equal-in-column
Y_increasing-in-line
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
Y_equal-in-column
Y_increasing-in-line
)
Matrix
of )
for
x
being ( ( ) ( )
set
)
for
n
,
m
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
x
: ( ( ) ( )
set
)
in
rng
(
Col
(
M
: ( (
tabular
Y_equal-in-column
Y_increasing-in-line
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
Y_equal-in-column
Y_increasing-in-line
)
Matrix
of ) ,
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
1
: ( (
tabular
Y_equal-in-column
Y_increasing-in-line
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
Y_equal-in-column
Y_increasing-in-line
)
Matrix
of )
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
x
: ( ( ) ( )
set
)
in
rng
(
Col
(
M
: ( (
tabular
Y_equal-in-column
Y_increasing-in-line
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
Y_equal-in-column
Y_increasing-in-line
)
Matrix
of ) ,
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
1
: ( (
tabular
Y_equal-in-column
Y_increasing-in-line
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
Y_equal-in-column
Y_increasing-in-line
)
Matrix
of )
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
M
: ( (
tabular
Y_equal-in-column
Y_increasing-in-line
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
Y_equal-in-column
Y_increasing-in-line
)
Matrix
of )
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
1
: ( (
tabular
Y_equal-in-column
Y_increasing-in-line
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
Y_equal-in-column
Y_increasing-in-line
)
Matrix
of ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
M
: ( (
tabular
Y_equal-in-column
Y_increasing-in-line
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
Y_equal-in-column
Y_increasing-in-line
)
Matrix
of )
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
1
: ( (
tabular
Y_equal-in-column
Y_increasing-in-line
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
Y_equal-in-column
Y_increasing-in-line
)
Matrix
of ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ;
begin
definition
mode
Go-board
is
( (
V3
()
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
V3
()
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Matrix
of ) ;
end;
theorem
:: GOBOARD1:5
for
m
,
k
,
i
,
j
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
x
being ( ( ) ( )
set
)
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) st
x
: ( ( ) ( )
set
)
=
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
*
(
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) &
x
: ( ( ) ( )
set
)
=
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
*
(
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) &
[
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
]
: ( ( ) ( )
set
)
in
Indices
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) ( )
set
) &
[
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
]
: ( ( ) ( )
set
)
in
Indices
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) ( )
set
) holds
(
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) ;
theorem
:: GOBOARD1:6
for
f
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
for
m
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) st
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) holds
(
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
|
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
/.
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) ;
theorem
:: GOBOARD1:7
for
f
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
for
m
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) st
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) holds
(
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
|
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
/.
(
len
(
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
|
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) ;
theorem
:: GOBOARD1:8
for
f
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
for
i
,
n
,
m
,
k
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) st
rng
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) ( )
set
)
misses
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
6
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
=
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
*
(
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) &
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<>
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ;
definition
let
G
be ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ;
let
i
be ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ;
assume
(
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
>
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) ;
func
DelCol
(
G
,
i
)
->
( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
means
:: GOBOARD1:def 8
(
len
it
: ( ( ) ( )
Element
of
G
: ( ( ) ( )
TopStruct
) ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
len
G
: ( ( ) ( )
TopStruct
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) & ( for
k
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
G
: ( ( ) ( )
TopStruct
) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
it
: ( ( ) ( )
Element
of
G
: ( ( ) ( )
TopStruct
) )
.
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( )
set
)
=
Del
(
(
Line
(
G
: ( ( ) ( )
TopStruct
) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
G
: ( ( ) ( )
TopStruct
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) ,
i
: ( ( ) ( )
Element
of
bool
(
bool
G
: ( ( ) ( )
TopStruct
)
)
: ( ( ) ( )
set
) : ( ( ) ( )
set
) ) ) : ( (
Relation-like
Function-like
FinSequence-like
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
set
) ) );
end;
theorem
:: GOBOARD1:9
for
i
,
k
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) st
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
>
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
Line
(
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
(
DelCol
(
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
b
1
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) ))
=
Del
(
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( (
Relation-like
Function-like
FinSequence-like
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
set
) ;
theorem
:: GOBOARD1:10
for
i
,
m
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) st
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
>
0
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) holds
width
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ;
theorem
:: GOBOARD1:11
for
i
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) st
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
2
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
>
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) holds
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
(
width
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ;
theorem
:: GOBOARD1:12
for
i
,
n
,
m
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) st
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
4
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
>
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
(
DelCol
(
b
4
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
b
1
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
*
(
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
=
(
Del
(
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
4
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( (
Relation-like
Function-like
FinSequence-like
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
set
)
.
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( )
set
) ;
theorem
:: GOBOARD1:13
for
i
,
m
,
k
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) st
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
4
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
>
0
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) & 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) holds
(
Col
(
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
(
DelCol
(
b
4
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
b
1
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) ))
=
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
4
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
(
DelCol
(
b
4
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
b
1
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
4
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) ) ;
theorem
:: GOBOARD1:14
for
i
,
m
,
k
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) st
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
4
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
>
0
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) holds
(
Col
(
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
(
DelCol
(
b
4
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
b
1
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) ))
=
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
4
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
(
DelCol
(
b
4
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
b
1
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
4
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) ) ;
theorem
:: GOBOARD1:15
for
i
,
m
,
n
,
k
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) st
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
5
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
>
0
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) & 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) holds
(
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
*
(
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
=
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
*
(
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
5
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) ) ;
theorem
:: GOBOARD1:16
for
i
,
m
,
n
,
k
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) st
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
5
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
>
0
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) holds
(
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
*
(
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
=
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
*
(
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
(
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
5
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) ) ;
theorem
:: GOBOARD1:17
for
m
,
k
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) st
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
>
0
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
b
1
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
(
Col
(
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
(
DelCol
(
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) ))
=
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
(
DelCol
(
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) ) ;
theorem
:: GOBOARD1:18
for
m
,
k
,
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) st
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
>
0
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
b
1
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
(
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
*
(
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
=
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
*
(
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
(
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) & 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
4
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) ) ;
theorem
:: GOBOARD1:19
for
m
,
k
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) st
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
>
0
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
b
1
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
(
Col
(
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
(
DelCol
(
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) ))
=
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
(
DelCol
(
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) ) ;
theorem
:: GOBOARD1:20
for
m
,
k
,
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) st
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
=
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
>
0
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
b
1
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
(
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
4
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
*
(
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
=
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
*
(
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) &
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
4
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) ) ;
theorem
:: GOBOARD1:21
for
f
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
for
i
,
n
,
m
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) st
rng
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) ( )
set
)
misses
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
5
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
5
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
5
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
>
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) holds
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
(
DelCol
(
b
5
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
b
2
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) ;
definition
let
D
be ( ( ) ( )
set
) ;
let
f
be ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
D
: ( ( ) ( )
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of
D
: ( ( ) ( )
set
) ) ;
let
M
be ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
D
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
D
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
D
: ( ( ) ( )
set
) )) ) ;
pred
f
is_sequence_on
M
means
:: GOBOARD1:def 9
( ( for
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) ( )
Element
of
bool
(
bool
D
: ( ( ) ( )
TopStruct
)
)
: ( ( ) ( )
set
) : ( ( ) ( )
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
ex
i
,
j
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
(
[
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
]
: ( ( ) ( )
set
)
in
Indices
M
: ( ( ) ( )
Element
of
D
: ( ( ) ( )
TopStruct
) ) : ( ( ) ( )
set
) &
f
: ( ( ) ( )
Element
of
bool
(
bool
D
: ( ( ) ( )
TopStruct
)
)
: ( ( ) ( )
set
) : ( ( ) ( )
set
) )
/.
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( )
Element
of
D
: ( ( ) ( )
TopStruct
) )
=
M
: ( ( ) ( )
Element
of
D
: ( ( ) ( )
TopStruct
) )
*
(
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) ( )
Element
of
D
: ( ( ) ( )
TopStruct
) ) ) ) & ( for
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) ( )
Element
of
bool
(
bool
D
: ( ( ) ( )
TopStruct
)
)
: ( ( ) ( )
set
) : ( ( ) ( )
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) ( )
Element
of
bool
(
bool
D
: ( ( ) ( )
TopStruct
)
)
: ( ( ) ( )
set
) : ( ( ) ( )
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
for
m
,
k
,
i
,
j
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
[
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
]
: ( ( ) ( )
set
)
in
Indices
M
: ( ( ) ( )
Element
of
D
: ( ( ) ( )
TopStruct
) ) : ( ( ) ( )
set
) &
[
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
]
: ( ( ) ( )
set
)
in
Indices
M
: ( ( ) ( )
Element
of
D
: ( ( ) ( )
TopStruct
) ) : ( ( ) ( )
set
) &
f
: ( ( ) ( )
Element
of
bool
(
bool
D
: ( ( ) ( )
TopStruct
)
)
: ( ( ) ( )
set
) : ( ( ) ( )
set
) )
/.
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( )
Element
of
D
: ( ( ) ( )
TopStruct
) )
=
M
: ( ( ) ( )
Element
of
D
: ( ( ) ( )
TopStruct
) )
*
(
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) ( )
Element
of
D
: ( ( ) ( )
TopStruct
) ) &
f
: ( ( ) ( )
Element
of
bool
(
bool
D
: ( ( ) ( )
TopStruct
)
)
: ( ( ) ( )
set
) : ( ( ) ( )
set
) )
/.
(
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( )
Element
of
D
: ( ( ) ( )
TopStruct
) )
=
M
: ( ( ) ( )
Element
of
D
: ( ( ) ( )
TopStruct
) )
*
(
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) ( )
Element
of
D
: ( ( ) ( )
TopStruct
) ) holds
(
abs
(
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
-
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) (
ext-real
V25
()
V32
() )
set
)
)
: ( ( ) (
ext-real
V25
()
V32
() )
Element
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) )
+
(
abs
(
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
-
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) (
ext-real
V25
()
V32
() )
set
)
)
: ( ( ) (
ext-real
V25
()
V32
() )
Element
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) ) : ( ( ) (
ext-real
V25
()
V32
() )
set
)
=
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) );
end;
theorem
:: GOBOARD1:22
for
m
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
D
being ( ( ) ( )
set
)
for
f
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
b
2
: ( ( ) ( )
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of
D
: ( ( ) ( )
set
) )
for
M
being ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
2
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
2
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
2
: ( ( ) ( )
set
) )) ) holds
( (
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
b
2
: ( ( ) ( )
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of
b
2
: ( ( ) ( )
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) implies 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
len
(
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
b
2
: ( ( ) ( )
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of
b
2
: ( ( ) ( )
set
) )
|
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
b
2
: ( ( ) ( )
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of
b
2
: ( ( ) ( )
set
) ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) & (
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
b
2
: ( ( ) ( )
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of
b
2
: ( ( ) ( )
set
) )
is_sequence_on
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
2
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
2
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
2
: ( ( ) ( )
set
) )) ) implies
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
b
2
: ( ( ) ( )
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of
b
2
: ( ( ) ( )
set
) )
|
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
b
2
: ( ( ) ( )
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of
b
2
: ( ( ) ( )
set
) )
is_sequence_on
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
2
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
2
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
2
: ( ( ) ( )
set
) )) ) ) ) ;
theorem
:: GOBOARD1:23
for
f1
,
f2
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
for
D
being ( ( ) ( )
set
)
for
M
being ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) ) st ( for
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f1
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
ex
i
,
j
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
(
[
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
]
: ( ( ) ( )
set
)
in
Indices
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) ) : ( ( ) ( )
set
) &
f1
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
=
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) )
*
(
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) ( )
Element
of
b
3
: ( ( ) ( )
set
) ) ) ) & ( for
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f2
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
ex
i
,
j
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
(
[
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
]
: ( ( ) ( )
set
)
in
Indices
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) ) : ( ( ) ( )
set
) &
f2
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
=
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) )
*
(
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) ( )
Element
of
b
3
: ( ( ) ( )
set
) ) ) ) holds
for
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
(
f1
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
^
f2
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
ex
i
,
j
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
(
[
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
]
: ( ( ) ( )
set
)
in
Indices
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) ) : ( ( ) ( )
set
) &
(
f1
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
^
f2
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
/.
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
=
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) )
*
(
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) ( )
Element
of
b
3
: ( ( ) ( )
set
) ) ) ;
theorem
:: GOBOARD1:24
for
f1
,
f2
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
for
D
being ( ( ) ( )
set
)
for
M
being ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) ) st ( for
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f1
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f1
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
for
m
,
k
,
i
,
j
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
[
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
]
: ( ( ) ( )
set
)
in
Indices
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) ) : ( ( ) ( )
set
) &
[
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
]
: ( ( ) ( )
set
)
in
Indices
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) ) : ( ( ) ( )
set
) &
f1
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
=
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) )
*
(
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) ( )
Element
of
b
3
: ( ( ) ( )
set
) ) &
f1
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
(
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
=
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) )
*
(
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) ( )
Element
of
b
3
: ( ( ) ( )
set
) ) holds
(
abs
(
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
-
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) (
ext-real
V25
()
V32
() )
set
)
)
: ( ( ) (
ext-real
V25
()
V32
() )
Element
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) )
+
(
abs
(
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
-
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) (
ext-real
V25
()
V32
() )
set
)
)
: ( ( ) (
ext-real
V25
()
V32
() )
Element
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) ) : ( ( ) (
ext-real
V25
()
V32
() )
set
)
=
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) & ( for
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f2
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f2
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
for
m
,
k
,
i
,
j
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
[
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
]
: ( ( ) ( )
set
)
in
Indices
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) ) : ( ( ) ( )
set
) &
[
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
]
: ( ( ) ( )
set
)
in
Indices
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) ) : ( ( ) ( )
set
) &
f2
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
=
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) )
*
(
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) ( )
Element
of
b
3
: ( ( ) ( )
set
) ) &
f2
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
(
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
=
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) )
*
(
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) ( )
Element
of
b
3
: ( ( ) ( )
set
) ) holds
(
abs
(
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
-
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) (
ext-real
V25
()
V32
() )
set
)
)
: ( ( ) (
ext-real
V25
()
V32
() )
Element
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) )
+
(
abs
(
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
-
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) (
ext-real
V25
()
V32
() )
set
)
)
: ( ( ) (
ext-real
V25
()
V32
() )
Element
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) ) : ( ( ) (
ext-real
V25
()
V32
() )
set
)
=
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) & ( for
m
,
k
,
i
,
j
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
[
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
]
: ( ( ) ( )
set
)
in
Indices
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) ) : ( ( ) ( )
set
) &
[
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
]
: ( ( ) ( )
set
)
in
Indices
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) ) : ( ( ) ( )
set
) &
f1
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
(
len
f1
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
=
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) )
*
(
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) ( )
Element
of
b
3
: ( ( ) ( )
set
) ) &
f2
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
=
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) )
*
(
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) ( )
Element
of
b
3
: ( ( ) ( )
set
) ) &
len
f1
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f1
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) & 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f2
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
(
abs
(
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
-
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) (
ext-real
V25
()
V32
() )
set
)
)
: ( ( ) (
ext-real
V25
()
V32
() )
Element
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) )
+
(
abs
(
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
-
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) (
ext-real
V25
()
V32
() )
set
)
)
: ( ( ) (
ext-real
V25
()
V32
() )
Element
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) ) : ( ( ) (
ext-real
V25
()
V32
() )
set
)
=
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) holds
for
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
(
f1
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
^
f2
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
(
f1
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
^
f2
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
for
m
,
k
,
i
,
j
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
[
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
]
: ( ( ) ( )
set
)
in
Indices
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) ) : ( ( ) ( )
set
) &
[
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
]
: ( ( ) ( )
set
)
in
Indices
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) ) : ( ( ) ( )
set
) &
(
f1
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
^
f2
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
/.
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
=
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) )
*
(
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) ( )
Element
of
b
3
: ( ( ) ( )
set
) ) &
(
f1
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
^
f2
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
/.
(
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
=
M
: ( (
tabular
) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
(
b
3
: ( ( ) ( )
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
)
Matrix
of ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
(
b
3
: ( ( ) ( )
set
) )) )
*
(
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( ) ( )
Element
of
b
3
: ( ( ) ( )
set
) ) holds
(
abs
(
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
-
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) (
ext-real
V25
()
V32
() )
set
)
)
: ( ( ) (
ext-real
V25
()
V32
() )
Element
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) )
+
(
abs
(
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
-
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) (
ext-real
V25
()
V32
() )
set
)
)
: ( ( ) (
ext-real
V25
()
V32
() )
Element
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) ) : ( ( ) (
ext-real
V25
()
V32
() )
set
)
=
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ;
theorem
:: GOBOARD1:25
for
i
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
for
f
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) st
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
is_sequence_on
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
2
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
rng
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) ( )
set
)
misses
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
2
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
>
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) holds
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
is_sequence_on
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ;
theorem
:: GOBOARD1:26
for
i
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
for
f
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) st
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
is_sequence_on
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
ex
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
(
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
2
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) ) ;
theorem
:: GOBOARD1:27
for
i
,
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
for
f
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) st
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
is_sequence_on
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) & not
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
(
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) holds
for
k
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
(
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
abs
(
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
-
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) (
ext-real
V25
()
V32
() )
set
) : ( ( ) (
ext-real
V25
()
V32
() )
Element
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) )
=
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ;
theorem
:: GOBOARD1:28
for
i
,
m
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
for
f
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) st 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
len
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
(
len
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
len
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
is_sequence_on
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) & ( for
k
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) holds
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) holds
(
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
(
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) ) ;
theorem
:: GOBOARD1:29
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
for
f
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) st 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
len
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
(
len
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
len
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
is_sequence_on
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) holds
( ( for
i
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
len
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) holds
ex
k
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
(
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) ) ) & ( for
i
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
len
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) & 2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
len
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) holds
L~
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) ( )
Element
of
bool
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) : ( ( ) ( )
set
) )
meets
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) ) & ( for
i
,
j
,
k
,
m
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
len
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) & 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
len
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) & ( for
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) holds
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) holds
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) ) ;
theorem
:: GOBOARD1:30
for
i
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
for
f
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) st
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
is_sequence_on
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
ex
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
(
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
2
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
2
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) ) ;
theorem
:: GOBOARD1:31
for
i
,
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
for
f
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) st
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
is_sequence_on
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) & not
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
(
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) holds
for
k
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
(
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) holds
abs
(
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
-
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) (
ext-real
V25
()
V32
() )
set
) : ( ( ) (
ext-real
V25
()
V32
() )
Element
of
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) )
=
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ;
theorem
:: GOBOARD1:32
for
i
,
m
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
for
f
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) st 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
len
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
(
len
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
is_sequence_on
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) & ( for
k
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) holds
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) holds
(
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
(
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
+
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) ) ;
theorem
:: GOBOARD1:33
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
for
f
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) st 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
len
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
(
len
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
is_sequence_on
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) holds
( ( for
i
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) holds
ex
k
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
(
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) ) ) & ( for
i
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) & 2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
len
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) holds
L~
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) ( )
Element
of
bool
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) : ( ( ) ( )
set
) )
meets
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) ) & ( for
i
,
j
,
k
,
m
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) & 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) & ( for
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) holds
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) &
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) holds
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) ) ;
theorem
:: GOBOARD1:34
for
k
,
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
for
f
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) st
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
is_sequence_on
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) & ( for
i
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) holds
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) holds
for
i
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) holds
for
m
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
Seg
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V46
()
V53
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) holds
m
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ;
theorem
:: GOBOARD1:35
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
for
f
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) st
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
is_sequence_on
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
(
len
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
>
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) & 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
len
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) holds
ex
g
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) st
(
g
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
(
DelCol
(
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
width
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
g
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
(
len
g
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
width
(
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
(
DelCol
(
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
width
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) & 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
len
g
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
g
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
is_sequence_on
DelCol
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) ) : ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) &
rng
g
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) ( )
set
)
c=
rng
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) ( )
set
) ) ;
theorem
:: GOBOARD1:36
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
for
f
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) st
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
is_sequence_on
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) &
(
rng
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
)
: ( ( ) ( )
set
)
/\
(
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) ))
)
: ( ( ) ( )
set
) : ( ( ) ( )
set
)
<>
{}
: ( ( ) ( )
set
) &
(
rng
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
)
: ( ( ) ( )
set
)
/\
(
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) ))
)
: ( ( ) ( )
set
) : ( ( ) ( )
set
)
<>
{}
: ( ( ) ( )
set
) holds
ex
g
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) st
(
rng
g
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) ( )
set
)
c=
rng
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) ( )
set
) &
g
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
g
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
(
len
g
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Col
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
width
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
len
b
1
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) & 1 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
len
g
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
g
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
is_sequence_on
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ) ;
theorem
:: GOBOARD1:37
for
k
,
n
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
for
G
being ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
for
f
being ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) st
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
is_sequence_on
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
(
len
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
(
len
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) &
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) holds
( ( for
i
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
len
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) holds
ex
j
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
(
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) ) ) & ( for
i
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
k
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<=
len
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) : ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) holds
ex
j
being ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) st
(
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
in
dom
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) ) : ( ( ) (
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
bool
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) : ( ( ) (
V46
() )
set
) ) &
n
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
<
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) &
f
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
FinSequence
of ( ( ) ( non
empty
)
set
) )
/.
j
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) : ( ( ) (
V53
(2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
FinSequence-like
V149
() )
Element
of the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )
in
rng
(
Line
(
G
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
) ,
i
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) )
)
: ( ( ) (
Relation-like
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
)
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
)
M11
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ,
K197
(
(
width
b
3
: ( ( non
empty-yielding
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
) (
Relation-like
non
empty-yielding
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) )
-defined
K196
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
non
empty
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ))
-valued
Function-like
V46
()
FinSequence-like
FinSubsequence-like
tabular
X_equal-in-line
Y_equal-in-column
Y_increasing-in-line
X_increasing-in-column
)
Go-board
)
)
: ( ( ) (
ext-real
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) ) , the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) ) : ( ( ) (
functional
FinSequence-membered
)
M10
( the
carrier
of
(
TOP-REAL
2 : ( ( ) ( non
empty
ext-real
positive
non
negative
V18
()
V19
()
V20
()
V24
()
V25
()
V32
()
V45
()
V46
()
V51
()
V169
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
() )
Element
of
NAT
: ( ( ) ( non
empty
V18
()
V19
()
V20
()
V46
()
V51
()
V52
()
V185
()
V186
()
V187
()
V188
()
V189
()
V190
()
V191
() )
Element
of
bool
REAL
: ( ( ) ( non
empty
V46
()
V185
()
V186
()
V187
()
V191
() )
set
) : ( ( ) (
V46
() )
set
) ) )
)
: ( (
V200
() ) ( non
empty
V88
()
V119
()
V120
()
V121
()
V122
()
V123
()
V124
()
V125
()
TopSpace-like
V200
() )
L16
()) : ( ( ) ( non
empty
)
set
) )) )) : ( ( ) ( )
set
) ) ) ) ;