:: GOBRD12 semantic presentation

begin

theorem :: GOBRD12:1
for f being ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence)
for i, j being ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) st i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) <= len (GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) & j : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) <= width (GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) holds
Int (cell ((GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) ,i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ,j : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) )) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) c= (L~ f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ` : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ;

theorem :: GOBRD12:2
for f being ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence)
for i, j being ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) st i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) <= len (GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) & j : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) <= width (GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) holds
Cl (Down ((Int (cell ((GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) ,i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ,j : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) )) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ,((L~ f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) )) : ( ( ) ( ) Element of bool the carrier of ((TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) | ((L~ b1 : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty strict TopSpace-like ) SubSpace of TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of ((TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) | ((L~ b1 : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty strict TopSpace-like ) SubSpace of TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) = (cell ((GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) ,i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ,j : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) )) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) /\ ((L~ f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ;

theorem :: GOBRD12:3
for f being ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence)
for i, j being ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) st i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) <= len (GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) & j : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) <= width (GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) holds
( Cl (Down ((Int (cell ((GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) ,i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ,j : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) )) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ,((L~ f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) )) : ( ( ) ( ) Element of bool the carrier of ((TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) | ((L~ b1 : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty strict TopSpace-like ) SubSpace of TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of ((TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) | ((L~ b1 : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty strict TopSpace-like ) SubSpace of TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) is connected & Down ((Int (cell ((GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) ,i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ,j : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) )) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ,((L~ f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( ) Element of bool the carrier of ((TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) | ((L~ b1 : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty strict TopSpace-like ) SubSpace of TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) = Int (cell ((GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) ,i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ,j : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) )) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) ;

theorem :: GOBRD12:4
for f being ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) holds (L~ f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ` : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) = union { (Cl (Down ((Int (cell ((GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) ,i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ,j : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) )) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ,((L~ f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) )) : ( ( ) ( ) Element of bool the carrier of ((TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) | ((L~ b1 : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty strict TopSpace-like ) SubSpace of TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( ) Element of bool the carrier of ((TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) | ((L~ b1 : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty strict TopSpace-like ) SubSpace of TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) where i, j is ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) <= len (GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) & j : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) <= width (GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) } : ( ( ) ( ) set ) ;

theorem :: GOBRD12:5
for f being ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) holds
( (Down ((LeftComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ,((L~ f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) )) : ( ( ) ( ) Element of bool the carrier of ((TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) | ((L~ b1 : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty strict TopSpace-like ) SubSpace of TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) \/ (Down ((RightComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ,((L~ f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) )) : ( ( ) ( ) Element of bool the carrier of ((TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) | ((L~ b1 : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty strict TopSpace-like ) SubSpace of TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of ((TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) | ((L~ b1 : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty strict TopSpace-like ) SubSpace of TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) is ( ( ) ( ) a_union_of_components of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) | ((L~ f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( strict ) ( non empty strict TopSpace-like ) SubSpace of TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) ) ) & Down ((LeftComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ,((L~ f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( ) Element of bool the carrier of ((TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) | ((L~ b1 : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty strict TopSpace-like ) SubSpace of TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) = LeftComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) & Down ((RightComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ,((L~ f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( ) Element of bool the carrier of ((TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) | ((L~ b1 : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) `) : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty strict TopSpace-like ) SubSpace of TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) = RightComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) ;

theorem :: GOBRD12:6
for f being ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence)
for i1, j1, i2, j2 being ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) st i1 : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) <= len (GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) & j1 : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) <= width (GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) & i2 : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) <= len (GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) & j2 : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) <= width (GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) & i1 : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ,j1 : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ,i2 : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ,j2 : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) are_adjacent2 holds
( Int (cell ((GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) ,i1 : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ,j1 : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) )) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) c= (LeftComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) \/ (RightComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) iff Int (cell ((GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) ,i2 : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ,j2 : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) )) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) c= (LeftComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) \/ (RightComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) ;

theorem :: GOBRD12:7
for f being ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence)
for F1, F2 being ( ( ) ( V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) Function-like FinSequence-like ) FinSequence of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) st len F1 : ( ( ) ( V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) Function-like FinSequence-like ) FinSequence of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) = len F2 : ( ( ) ( V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) Function-like FinSequence-like ) FinSequence of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) & ex i being ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) st
( i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) in dom F1 : ( ( ) ( V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) Function-like FinSequence-like ) FinSequence of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( V89() V90() V91() V92() V93() V94() ) Element of bool NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) & Int (cell ((GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) ,(F1 : ( ( ) ( V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) Function-like FinSequence-like ) FinSequence of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) /. i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ,(F2 : ( ( ) ( V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) Function-like FinSequence-like ) FinSequence of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) /. i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) )) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) c= (LeftComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) \/ (RightComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) & ( for i, k1, k2 being ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) st i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) in dom F1 : ( ( ) ( V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) Function-like FinSequence-like ) FinSequence of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( V89() V90() V91() V92() V93() V94() ) Element of bool NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) & k1 : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) = F1 : ( ( ) ( V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) Function-like FinSequence-like ) FinSequence of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) . i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( ) set ) & k2 : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) = F2 : ( ( ) ( V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) Function-like FinSequence-like ) FinSequence of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) . i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( ) set ) holds
( k1 : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) <= len (GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) & k2 : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) <= width (GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) ) holds
for i being ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) st i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) in dom F1 : ( ( ) ( V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) Function-like FinSequence-like ) FinSequence of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) : ( ( ) ( V89() V90() V91() V92() V93() V94() ) Element of bool NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( non empty ) set ) ) holds
Int (cell ((GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) ,(F1 : ( ( ) ( V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) Function-like FinSequence-like ) FinSequence of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) /. i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ,(F2 : ( ( ) ( V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) Function-like FinSequence-like ) FinSequence of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) /. i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) )) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) c= (LeftComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) \/ (RightComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ;

theorem :: GOBRD12:8
for f being ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ex i, j being ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) st
( i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) <= len (GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) & j : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) <= width (GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) & Int (cell ((GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) ,i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ,j : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) )) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) c= (LeftComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) \/ (RightComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ) ;

theorem :: GOBRD12:9
for f being ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence)
for i, j being ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) st i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) <= len (GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) & j : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) <= width (GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) holds
Int (cell ((GoB f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( tabular ) ( V7() non empty-yielding V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11(K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) Function-like FinSequence-like tabular V183() V184() V185() V186() ) FinSequence of K267( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) M11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) )) ) ,i : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ,j : ( ( ) ( V19() V23() V24() V25() ext-real non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) )) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) c= (LeftComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) \/ (RightComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ;

theorem :: GOBRD12:10
for f being ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) holds (L~ f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ` : ( ( ) ( non empty ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) = (LeftComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) \/ (RightComp f : ( ( non empty non constant V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) ( non empty V7() V10( NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) V11( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) Function-like non constant FinSequence-like V174( the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) ) special unfolded s.c.c. standard ) special_circular_sequence) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) : ( ( ) ( ) Element of bool the carrier of (TOP-REAL 2 : ( ( ) ( non empty V19() V23() V24() V25() ext-real positive non negative V87() V88() V89() V90() V91() V92() V93() V94() ) Element of NAT : ( ( ) ( V89() V90() V91() V92() V93() V94() V95() ) Element of bool REAL : ( ( ) ( V89() V90() V91() V95() ) set ) : ( ( ) ( non empty ) set ) ) ) ) : ( ( strict ) ( non empty TopSpace-like V130() V155() V156() V157() V158() V159() V160() V161() strict ) RLTopStruct ) : ( ( ) ( non empty ) set ) : ( ( ) ( non empty ) set ) ) ;