for i, j, k being ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) )
for f being ( ( ) ( V13() V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like FinSequence-like ) FinSequence of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )
for G being ( ( non empty-yielding tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) st f : ( ( ) ( V13() V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like FinSequence-like ) FinSequence of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( 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 ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) & LSeg ((G : ( ( non empty-yielding tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) * (i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,j : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( V33(2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like V130() ) Element of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) ,(G : ( ( non empty-yielding tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) * (i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,k : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( V33(2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like V130() ) Element of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( connected compact ) Element of K6( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) meets L~ f : ( ( ) ( V13() V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like FinSequence-like ) FinSequence of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( compact ) Element of K6( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) & [i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,j : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) 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 ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) : ( ( ) ( ) set ) & [i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,k : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) 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 ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) : ( ( ) ( ) set ) & j : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) <= k : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) holds
ex n being ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) st
( j : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) <= n : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) & n : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) <= k : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) & (G : ( ( non empty-yielding tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) * (i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,n : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( V33(2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like V130() ) Element of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) `2 : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) = lower_bound (proj2 : ( ( Function-like V40( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) , REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) ) ( V13() V16( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) V17( REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) Function-like V40( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) , REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) V197( TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) ) ) Element of K6(K7( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ,REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) .: ((LSeg ((G : ( ( non empty-yielding tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) * (i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,j : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( V33(2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like V130() ) Element of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) ,(G : ( ( non empty-yielding tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) * (i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,k : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( V33(2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like V130() ) Element of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) )) : ( ( ) ( connected compact ) Element of K6( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) /\ (L~ f : ( ( ) ( V13() V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like FinSequence-like ) FinSequence of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( compact ) Element of K6( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( compact ) Element of K6( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( V138() V139() V140() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) ) ;

for i, j, k being ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) )
for f being ( ( ) ( V13() V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like FinSequence-like ) FinSequence of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )
for G being ( ( non empty-yielding tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) st f : ( ( ) ( V13() V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like FinSequence-like ) FinSequence of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( 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 ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) & LSeg ((G : ( ( non empty-yielding tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) * (i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,j : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( V33(2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like V130() ) Element of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) ,(G : ( ( non empty-yielding tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) * (i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,k : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( V33(2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like V130() ) Element of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( connected compact ) Element of K6( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) meets L~ f : ( ( ) ( V13() V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like FinSequence-like ) FinSequence of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( compact ) Element of K6( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) & [i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,j : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) 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 ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) : ( ( ) ( ) set ) & [i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,k : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) 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 ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) : ( ( ) ( ) set ) & j : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) <= k : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) holds
ex n being ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) st
( j : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) <= n : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) & n : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) <= k : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) & (G : ( ( non empty-yielding tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) * (i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,n : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( V33(2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like V130() ) Element of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) `2 : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) = upper_bound (proj2 : ( ( Function-like V40( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) , REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) ) ( V13() V16( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) V17( REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) Function-like V40( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) , REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) V197( TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) ) ) Element of K6(K7( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ,REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) .: ((LSeg ((G : ( ( non empty-yielding tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) * (i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,j : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( V33(2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like V130() ) Element of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) ,(G : ( ( non empty-yielding tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) * (i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,k : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( V33(2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like V130() ) Element of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) )) : ( ( ) ( connected compact ) Element of K6( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) /\ (L~ f : ( ( ) ( V13() V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like FinSequence-like ) FinSequence of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( compact ) Element of K6( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( compact ) Element of K6( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( V138() V139() V140() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) ) ;

for j, i, k being ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) )
for f being ( ( ) ( V13() V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like FinSequence-like ) FinSequence of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )
for G being ( ( non empty-yielding tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) st f : ( ( ) ( V13() V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like FinSequence-like ) FinSequence of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( 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 ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) & LSeg ((G : ( ( non empty-yielding tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) * (j : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( V33(2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like V130() ) Element of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) ,(G : ( ( non empty-yielding tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) * (k : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( V33(2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like V130() ) Element of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( connected compact ) Element of K6( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) meets L~ f : ( ( ) ( V13() V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like FinSequence-like ) FinSequence of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( compact ) Element of K6( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) & [j : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) 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 ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) : ( ( ) ( ) set ) & [k : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) 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 ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) : ( ( ) ( ) set ) & j : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) <= k : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) holds
ex n being ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) st
( j : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) <= n : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) & n : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) <= k : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) & (G : ( ( non empty-yielding tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) * (n : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( V33(2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like V130() ) Element of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) `1 : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) = lower_bound (proj1 : ( ( Function-like V40( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) , REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) ) ( V13() V16( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) V17( REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) Function-like V40( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) , REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) V197( TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) ) ) Element of K6(K7( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ,REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( ) set ) ) .: ((LSeg ((G : ( ( non empty-yielding tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) * (j : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( V33(2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like V130() ) Element of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) ,(G : ( ( non empty-yielding tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) ( V13() non empty-yielding V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17(K337( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular X_equal-in-line Y_equal-in-column Y_increasing-in-line X_increasing-in-column ) Go-board) * (k : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ,i : ( ( ) ( V6() V10() V11() V12() V37() ext-real non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) )) : ( ( ) ( V33(2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) FinSequence-like V130() ) Element of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) )) : ( ( ) ( connected compact ) Element of K6( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) /\ (L~ f : ( ( ) ( V13() V16( NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) V17( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like FinSequence-like ) FinSequence of the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( compact ) Element of K6( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( compact ) Element of K6( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V6() V10() V11() V12() V37() ext-real positive non negative V76() V138() V139() V140() V141() V142() V143() ) Element of NAT : ( ( ) ( V138() V139() V140() V141() V142() V143() V144() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V104() V150() V151() V152() V153() V154() V155() V156() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( ) ( V138() V139() V140() ) Element of K6(REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V138() V139() V140() V144() ) set ) ) ) ;