for Z being ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) st Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) c= dom (tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) * cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( V62() V63() V64() ) Element of K6(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( ) set ) ) holds
( tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) * cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) is_differentiable_on Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) & ( for x being ( ( ) ( V11() V12() ext-real ) Real) st x : ( ( ) ( V11() V12() ext-real ) Real) in Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) holds
((tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) * cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) `| Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) = (1 : ( ( ) ( V6() V10() V11() V12() ext-real non negative V47() V62() V63() V64() V65() V66() V67() V81() ) Element of NAT : ( ( ) ( V62() V63() V64() V65() V66() V67() V68() ) Element of K6(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( ) set ) ) ) / ((cos : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . (cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ^2) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) * (- (1 : ( ( ) ( V6() V10() V11() V12() ext-real non negative V47() V62() V63() V64() V65() V66() V67() V81() ) Element of NAT : ( ( ) ( V62() V63() V64() V65() V66() V67() V68() ) Element of K6(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( ) set ) ) ) / ((sin : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ^2) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ) ;

for Z being ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) st Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) c= dom (tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) * tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( V62() V63() V64() ) Element of K6(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( ) set ) ) holds
( tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) * tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) is_differentiable_on Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) & ( for x being ( ( ) ( V11() V12() ext-real ) Real) st x : ( ( ) ( V11() V12() ext-real ) Real) in Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) holds
((tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) * tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) `| Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) = (1 : ( ( ) ( V6() V10() V11() V12() ext-real non negative V47() V62() V63() V64() V65() V66() V67() V81() ) Element of NAT : ( ( ) ( V62() V63() V64() V65() V66() V67() V68() ) Element of K6(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( ) set ) ) ) / ((cos : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . (tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ^2) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) * (1 : ( ( ) ( V6() V10() V11() V12() ext-real non negative V47() V62() V63() V64() V65() V66() V67() V81() ) Element of NAT : ( ( ) ( V62() V63() V64() V65() V66() V67() V68() ) Element of K6(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( ) set ) ) ) / ((cos : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ^2) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ) ;

for Z being ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) st Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) c= dom (cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) * cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( V62() V63() V64() ) Element of K6(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( ) set ) ) holds
( cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) * cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) is_differentiable_on Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) & ( for x being ( ( ) ( V11() V12() ext-real ) Real) st x : ( ( ) ( V11() V12() ext-real ) Real) in Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) holds
((cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) * cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) `| Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) = (1 : ( ( ) ( V6() V10() V11() V12() ext-real non negative V47() V62() V63() V64() V65() V66() V67() V81() ) Element of NAT : ( ( ) ( V62() V63() V64() V65() V66() V67() V68() ) Element of K6(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( ) set ) ) ) / ((sin : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . (cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ^2) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) * (1 : ( ( ) ( V6() V10() V11() V12() ext-real non negative V47() V62() V63() V64() V65() V66() V67() V81() ) Element of NAT : ( ( ) ( V62() V63() V64() V65() V66() V67() V68() ) Element of K6(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( ) set ) ) ) / ((sin : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ^2) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ) ;

for Z being ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) st Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) c= dom (cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) * tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( V62() V63() V64() ) Element of K6(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( ) set ) ) holds
( cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) * tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) is_differentiable_on Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) & ( for x being ( ( ) ( V11() V12() ext-real ) Real) st x : ( ( ) ( V11() V12() ext-real ) Real) in Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) holds
((cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) * tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) `| Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) = (- (1 : ( ( ) ( V6() V10() V11() V12() ext-real non negative V47() V62() V63() V64() V65() V66() V67() V81() ) Element of NAT : ( ( ) ( V62() V63() V64() V65() V66() V67() V68() ) Element of K6(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( ) set ) ) ) / ((sin : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . (tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ^2) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) * (1 : ( ( ) ( V6() V10() V11() V12() ext-real non negative V47() V62() V63() V64() V65() V66() V67() V81() ) Element of NAT : ( ( ) ( V62() V63() V64() V65() V66() V67() V68() ) Element of K6(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( ) set ) ) ) / ((cos : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ^2) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ) ;

for Z being ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) st Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) c= dom (tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) - cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( V62() V63() V64() ) Element of K6(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( ) set ) ) holds
( tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) - cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) is_differentiable_on Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) & ( for x being ( ( ) ( V11() V12() ext-real ) Real) st x : ( ( ) ( V11() V12() ext-real ) Real) in Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) holds
((tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) - cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) `| Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) = (1 : ( ( ) ( V6() V10() V11() V12() ext-real non negative V47() V62() V63() V64() V65() V66() V67() V81() ) Element of NAT : ( ( ) ( V62() V63() V64() V65() V66() V67() V68() ) Element of K6(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( ) set ) ) ) / ((cos : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ^2) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) + (1 : ( ( ) ( V6() V10() V11() V12() ext-real non negative V47() V62() V63() V64() V65() V66() V67() V81() ) Element of NAT : ( ( ) ( V62() V63() V64() V65() V66() V67() V68() ) Element of K6(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( ) set ) ) ) / ((sin : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ^2) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ) ;

for Z being ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) st Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) c= dom (tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) + cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) : ( ( ) ( V62() V63() V64() ) Element of K6(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( ) set ) ) holds
( tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) + cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) is_differentiable_on Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) & ( for x being ( ( ) ( V11() V12() ext-real ) Real) st x : ( ( ) ( V11() V12() ext-real ) Real) in Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) holds
((tan : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) + cot : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) `| Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) = (1 : ( ( ) ( V6() V10() V11() V12() ext-real non negative V47() V62() V63() V64() V65() V66() V67() V81() ) Element of NAT : ( ( ) ( V62() V63() V64() V65() V66() V67() V68() ) Element of K6(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( ) set ) ) ) / ((cos : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ^2) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) - (1 : ( ( ) ( V6() V10() V11() V12() ext-real non negative V47() V62() V63() V64() V65() V66() V67() V81() ) Element of NAT : ( ( ) ( V62() V63() V64() V65() V66() V67() V68() ) Element of K6(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( ) set ) ) ) / ((sin : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ^2) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ) ;

for Z being ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) holds
( sin : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) * sin : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) is_differentiable_on Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) & ( for x being ( ( ) ( V11() V12() ext-real ) Real) st x : ( ( ) ( V11() V12() ext-real ) Real) in Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) holds
((sin : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) * sin : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) `| Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) = (cos : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . (sin : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) * (cos : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ) ;

for Z being ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) holds
( sin : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) * cos : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) is_differentiable_on Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) & ( for x being ( ( ) ( V11() V12() ext-real ) Real) st x : ( ( ) ( V11() V12() ext-real ) Real) in Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) holds
((sin : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) * cos : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) `| Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) = - ((cos : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . (cos : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) * (sin : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ) ;

for Z being ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) holds
( cos : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) * sin : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) is_differentiable_on Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) & ( for x being ( ( ) ( V11() V12() ext-real ) Real) st x : ( ( ) ( V11() V12() ext-real ) Real) in Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) holds
((cos : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) * sin : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) `| Z : ( ( open ) ( open V62() V63() V64() ) Subset of ( ( ) ( ) set ) ) ) : ( ( V18() ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) = - ((sin : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . (sin : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) * (cos : ( ( V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ( V13() V16( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V17( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V18() V27( REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) , REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) V52() V53() V54() ) Element of K6(K7(REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ,REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V52() V53() V54() ) set ) ) : ( ( ) ( ) set ) ) . x : ( ( ) ( V11() V12() ext-real ) Real) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) : ( ( ) ( V11() V12() ext-real ) Element of REAL : ( ( ) ( V1() V62() V63() V64() V68() V70() ) set ) ) ) ) ;